The face of the rhombus ( length of one side) is found to be 13 cm.
How do you define a rhombus?A rhombus is a special parallelogram because it meets the definition of a parallelogram, which is a quadrilateral to two pairs of parallel sides.
Furthermore, a rhombus, such as a square, has every four sides that are equal. As a result, it is also identified as a slanted square.A rhombus has two diagonals that serve as its lines of symmetry.An axis of symmetry is a line that separates an object in to the two equal halves.Any two adjacent and otherwise consecutive angles add up to 180°.As per the given question;
The circumference of the rhombus is 52 cm.
Let us consider the one side of the rhombus is of length 'x'.
As, we known that the sides of the rhombus are equal.
Thus,
4x = 52
x = 52/4
x = 13.
Therefore, the face or the length of the one side of the rhombus is found as 13 cm.
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San diego San Diego California is about 2,683,824 feel away from san francisco.los Los angeles is about 700000 feet closer to san francisco then san diego is. Which of the following cold be the actual distance between los angeles and san francisco
The actual distance between Los Angeles and San Francisco will be 19,83,824 feet.
Given that,
The distance between San Diego and San Francisco = 2,683,824 feet,
And,
Los Angeles is about 7,00,000 feet closer to San Francisco than San Diego,
Now,
Distance is the total movement of an object without any regard for direction i.e. the distance covered by the object.
So,
Now,
According to the question,
To find the actual distance,
The actual distance between Los Angeles and San Francisco = The distance between San Diego and San Francisco) - (The difference in the distance)
i.e.
The actual distance between Los Angeles and San Francisco = 2,683,824-700,000
On solving we get,
The actual distance between Los Angeles and San Francisco = 19,83,824
Hence we can say that the actual distance between Los Angeles and San Francisco will be 19,83,824 feet.
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Which statements are true about the function represented by the graph? select all that apply.
a) The function is negative over the interval (-♾️, -5).
b) The function has zeros at -5,3.
c) The function is negative over the interval (-16,0).
d) The function is positive over the interval (-♾️, -5).
e) The function has zeros at -3,5.
f) The function is positive over the interval (-5,3)
g) The function is positive over the interval (3,♾️)
h) The function is negative over the interval (-5,3)
Choice B) The function is negative over the interval (−5,3).
Choice C) The function is positive over the interval (3,∞).
Choice D) The function is positive over the interval (−∞,−5).
====================================================
Explanation:
The portion below the x axis is when f(x) is negative. This happens on the interval -5 < x < 3−5<x<3 . Note how -5 and 3 are the x intercepts or roots. So because f(x) is negative when -5 < x < 3−5<x<3 we can say f(x) is negative over the interval (-5, 3). This is interval notation and not ordered pair notation.
----------
The function f(x) is positive in two places. When x < -5 and when x > 3. This is where the purple parabola is above the x axis.
The x < -5 portion converts to the interval notation (−∞,−5)
The x > 3 portion converts to the interval notation (3,∞)
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A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl. What is the probability that they will have at least one boy and at least one girl?.
Probability of having at least one boy and at least one girl is 0.75
There are two possibilities of a child, it could be a girl or a boy.
Since, the family plans to have 3 children.
∴ Total outcomes are = 2³
Total outcomes are = 8 outcomes
The total possible outcomes are: BBB, BBG, BGB, GBB, GBG, BGG, GGB, GGG
So, there are 8 possible outcomes.
Now, probability of having at least one boy and at least one girl= 1 - (Probability of having all girls, Probability of having all boys)
Probability of having all girls i.e., GGG = 1/8
Probability of having all boys i.e., BBB = 1/8
P(at least one boy and at least one girl) = 1 - (1/8 + 1/8)
= 1 - (2/8)
= 6/8
= 0.75
∴ P(at least one boy and at least one girl) = 0.75
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Which of the following tables shows a rate greater than 1 kilometer per hour? A Kilometers 1··51··41··31··2Hours7··57··47··37··2B Kilometers 3··46··49··412··4Hours3··86··89··812··8C Kilometers 2··34··36··38··3Hours4··38··312··316··3D Kilometers 1··41··23··43··2Hours3··43··29··49··
Based on the calculations, table B shows a rate that is greater than 1 kilometer per hour.
What is the average rate of change?The average rate of change can be defined as a type of function that describes the average rate at which a quantity decreases or increases with respect to another quantity.
Mathematically, the average rate of change can be calculated by using this formula;
Average rate of change = Δy/Δx = Change in kilometer/Change in hour
For table A, we have:
Rate = kilometer/hour
Rate = (1/5)/(7/5)
Rate = 1/5 × 5/7
Rate = 1/7 kilometer per hour.
For table B, we have:
Rate = (3/4)/(3/8)
Rate = 3/4 × 8/3
Rate = 2 kilometer per hour.
For table C, we have:
Rate = (2/3)/(4/3)
Rate = 2/3 × 3/4
Rate = 1/2 kilometer per hour.
For table C, we have:
Rate = (2/3)/(4/3)
Rate = 2/3 × 3/4
Rate = 1/2 kilometer per hour.
For table D, we have:
Rate = (1/4)/(3/4)
Rate = 1/4 × 4/3
Rate = 1/3 kilometer per hour.
Therefore, table B shows a rate greater than 1 kilometer per hour.
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Makayla is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday and flips a coin?
The different possible outcomes are there if she spins a spinner with 5 equal-sized sections-
So, there are are total 10 outcomes of flipping a coin
A coin has two faces head and tail . On flipping a coin there are total 2 outcomes i.e. a head and a tail.
There is a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday.
On Spinning a spinner with 5 equal-sized sections there are total 5 outcomes . They are Monday, Tuesday, Wednesday, Thursday, Friday.
So there are two events flipping a coin and spinning a spinner.
possible outcomes are
(Head, Monday) (Tail , Monday) (Head, Tuesday) (Tail, Tuesday)
(Head, Wednesday) (Tail , Wednesday) (Head, Thursday) (Tail, Thursday)
(Head, Friday) (Tail, Friday)
So, there are are total 10 outcomes.
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URGENT! homework due tmrw!!
Answer: donut no
Step-by-step explanation:
12345
ethans cooking recipe uses 3 cups of sugar to make 21 cookies mias recipe uses 4 cups to make 28 cookies which has a greater sugar/cookie ratio
What is the x -intercept of f(x)=x³-x²+1 ? Round the answer to the nearest hundredth.
The x -intercept of f(x)=x³-x²-1 is x=1.46557.
What are Cubic polynomials?Cubic polynomials are polynomials with the highest degree of three. A cubic polynomial can only have three roots or solutions. We must find the X intercept for the given cubic polynomial in the given example.So, to find the x-intercept of f(x)=x³-x²-1:
To find the x-intercept, substitute y = 0.
Using the long division method, we obtain:
x³-x²-1/x-1.46557 = x²+0.46557x+0.68232x = 1.46577 and x²+0.46557x+0.68232 = 0x = -0.2328 ± 0.7925i ∉ RTherefore, the x -intercept of f(x)=x³-x²-1 is x=1.46557.
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The correct question is given below:
What is the x-intercept of f(x)=x³-x²-1? Round the answer to the nearest hundredth.
George’ family is preparing backpacks filled with school supplies to donate to children in
need. They have 60 pencils and 80 notebooks. If they want to make all backpacks the same,
with no school supplies left over, what is the greatest number of backpacks they can fill?
A. 480 B. 240 C. 20 D. 40
The greatest number of backpacks they can fill if they want to make all backpacks the same with no school supplies left over is 20
What is the greatest number of backpacks they can fill if they want to make all backpacks the same with no school supplies left over?The given parameters are
Pencils = 60
Notebooks = 80
Express 60 and 80 as the products of their factors
So, we have
Pencils = 2 * 2 * 3 * 5
Notebooks = 2 * 2 * 2 * 2 * 5
Multiply the common factors
Common factor = 2 * 2 * 5
Evaluate the product
Common factors = 20
Hence, the greatest number of backpacks they can fill if they want to make all backpacks the same with no school supplies left over is 20
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0.96 x 0.12 what is it but step by step
You normally multiply 96 and 12 without the decimal point which makes 1152, and then you have 2 places after the decimal point in each number so you add the 2 of the decimal places and that makes 4. Finally, you move the decimal point to the left 4 times, which makes 0.1152.
Answer: 0.1152
Stefan and Kendrick both walk to work each day. It takes them the same amount of time, even though Stefan lives farther away. One morning, they decide to meet at a coffee shop. The coffee shop is the same distance from each of their apartments. Who will likely get to the coffee shop in less time?
If one morning, they decide to meet at a coffee shop. The coffee shop is the same distance from each of their apartments. The person that will likely get to the coffee shop in less time is: Stefan.
SpeedIf it takes both of them the same amount of time to walk to work per day. The person that will likely get to the coffee shop in less time is Stefan based on the fact that despite Stefan live a great distance away he still get to work at the same as Kendrick.
Since the coffee shop is the same distance from both of their apartments there is likelihood or tendency that Stefan get to the coffee shop in less time.
Therefore the person that will likely get to the coffee shop in less time is: Stefan.
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A high school decided to spend $ 750 on student academic achievement awards. At least 5 awards will be given, they should be equal in value, and each award should not be less than $ 50 . Write and sketch a function that models the relationship between the number a of awards and the cost c of each award. What are the domain and range of the function?
a. Which equation describes the relationship between a and c ?
Equation that describes the relationship between a and c is c = 750 / a
The domain of the function is - 5 ≤ a ≤ 50
The range of the function is - 50 ≤ c ≤ 150
Given,
Total money spent is = $750
Thus, our equation become,
ca = 750
solving for c,
c = 750 / a
The domain and range of function is -
a ≤ 5
Now, each award should be less than 50.
= 50 ≤ c
using equation, ac = 750
maximum value for a = 75.
we can say that domain is
5 ≤ a ≤ 50
Finally, by substituting a = 5 we can see that the maximum for c is 150.
This gives range for c as -
50 ≤ c ≤ 150
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I need assistance; on question #1
Answer:150 minutes
Step-by-step explanation: divide 30 x 5 = 6 and multiply 6 x 25 = 105 minutes
ZA and ZB are vertical angles. If mA = (6x – 16)° and mZB = (4x + 22)°,
then find the measure of ZB.
As A and B are vertical angles, the measures of angle A and B is 98° each.
What in geometry are Vertical Angles?When two lines collide, vertical angles are created. The angles that are directly opposite one another, out of the four that are generated, are vertical angles. Additionally, they are known as "vertically opposed angles." All of these angles are equal.
Vertical angles are created when two straight lines cross. Angles vertically are consistently congruent and equal. As the two sets of non-adjacent angles created by crossing two lines superimpose on one another, vertical angles are congruent.
As A and B are vertical angles,
6x - 16 = 4x + 22
⇒ 2x = 38
⇒ x = 19
Measure of Angle A is 98°
Measure of Angle B is 98°
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A toy helicopter flies forward with a force of 15 N into an oncoming wind of 10 N. The force of gravity pulls the helicopter down
with a force of 5 N, but the propeller is providing an upward force of 10 N.
Which of the following accurately describes the helicopter's force?
(1 point)
O The toy helicopter is flying forward with a force of 15 N.
O The toy helicopter is flying forward with a force of 10 N and upward with a force of 5 N.
O The toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.
O The toy helicopter is flying forward with a force of 15 N and upward with a force of 10 N.
The statement which accurately describes the helicopter's force is: C. the toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.
What is Newton's Third Law of Motion?Newton's Third Law of Motion states that for every action there is an equal but opposite reaction. This ultimately implies that, in every interaction, there is a pair of forces acting on the two interacting objects.
Next, we would determine the resultant forces in the two scenarios as follows:
Resultant force A = Forward force - Wind force
Resultant force A = 15 N - 10 N
Resultant force A = 5 Newton.
Resultant force B = Upward force - Force of gravity
Resultant force B = 10 N - 5 N
Resultant force B = 5 Newton.
In this context, we can reasonably infer and logically deduce that the toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.
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Angle 2 is an____angle and is_____to angle 1.
Angle 5 is an____angle and is_____to angle 8.
Answer:
Angle 2: Acute, supplementary
Angle 5: Obtuse, congruent
Step-by-step explanation:
An acute angle is less than 90 degrees. An obtuse angle is more than 90 degrees. A supplementary angle is an angle equal to 180 degrees when added to another angle. (Angle 1 + angle 2 = 180 degrees.) Congruent angles are equal to each other in degrees. (Angle 5 = angle 8.)
HELP ME PLS
Use f(x) = |x|
f(x) is shifted left 5 and shifted up 2 to create
te g(x). Write the equation g(x)
Answer:
g(x) = | x + 5 | + 2
Step-by-step explanation:
given f(x) then f(x ± h ) represents a horizontal translation of f(x)
• if x > 0 then a shift to the left of h units
• if x < 0 then a shift to the right of h units
here f(x) is shifted left by 5 units , then
g(x) = | x + 5 |
given f(x) then f(x) + k represents a vertical translation of f(x)
• if k > 0 then a shift up of k units
• if k < 0 then a shift down of k units
here f(x) is shifted up 2 units , then
g(x) = | x + 5 | + 2
solve -8n+4(1+5n)=-6n-14
How to simplify it as a fraction?
0.7 bar can be expressed as 7/9 in fraction.
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.
In mathematics, a fraction is referred to as a portion of a whole. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.
Part of a whole number and a means of dividing a number into equal parts are represented by fractions. The numerator, also known as the number of equally divided parts, is how it is written.
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a) The ratio 20 minutes to 1 hour can be written in the form 1: n.
Find the value of n.
n =
b) The scale on a map is 1 : 25 000
How many kilometres on the ground is represented by 9 cm on the map?
The result for the given ratio are-
Part a: The value of n = 3.
Part b: For 9 cm on map there are 225,000 km on ground.
What is defined as the ratio?A ratio in mathematics is a comparable of two or more numbers that shows their sizes in regards to each other. A ratio compares two quantities by dividing them, with the dividend or number divided referred to as the antecedent as well as the divisor or number divided referred to as the consequent.A ratio can be expressed as a part-to-part or part-to-whole comparison.Now, as per the given question;
Part a: The value of 'n'.
The ratio 20 minutes to 1 hour can be written in the form 1: n.
20 minutes/1 hour = 1/n
We know that; 1 hour = 60 minutes.
20 minutes/60 minutes = 1/n
Cross multiplying;
20n = 60
n = 60/20
n = 3
The value of n is found to be 3.
Part b: kilometres on the ground.
The scale on a map is 1 : 25 000
It means;
1 cm on map = 25,000 km on grounds.
Thus, for 9 cm om map.
Multiplying both side of ratio with 9.
9 : 9 × 25 000
9 : 225,000
Thus, 9 cm on map there are 225,000 km on ground.
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what is a word phrase i could use for this algebraic expression 7x-2?
The denominator of a rational number is greater than its numerator by 2. If 5
is subtracted from the numerator and 5 is added to its denominator, the new
number becomes 1
4
. Find the number.
Based on the word problem, the number is 9
What is a Rational Number?This refers to the type of number that is expressed as the ratio of two integers that has a non-zero denominator.
Calculations and ParametersLet the numerator be x
Let the denominator be x+2
If 5 is subtracted from the numerator
x - 5
If 5 is added to the denominator
x +2 + 5
x-5/x+7= 1/4
Cross multiply the values
It becomes
4x- 20 = x+ 7
3x= 27
x= 9
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What is the quotient of negative 192 over negative 16?
Answer:
12
Step-by-step explanation:
[tex]Borrow\:2\:from\:"-192"\\|16| \times 1 = 16\\= 16 - 19\rightarrow Remember\:we\:borrowed\:2\\= 3\\Drop\:the\:borrowed\:2\\= 32\\|16| \times 2 = 32\\= 32 - 32\\= 0\\\\= 12\:\sf R0[/tex]
Answer:
12 (please use a calculator next time)
Step-by-step explanation:
When I have to simplify a tough fraction, I like to constantly divide both the numerator and the denominator by 2 until I can no longer do so, as it's a lot easier to divide most numbers by 2.
[tex]\frac{-192}{-16}\\ \\\to \frac{96}{8} \\ \\\to \frac{48}4 \\ \\\to \frac{24}2 \to 12[/tex]
O
An escalator runs from the first floor of a shopping mall to
Answer: D.) the hypotenuse
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Question:
What is the longest side of a right triangle?
Answer:
The answer would be D. hypotenuse
Step-by-step explanation:
Leg A and B would be the legs remember pythagorean theorem. Pythagorean theorem would be a2 + b2 = c2, a is a side of right triangle b is also a side of right triangle and c is the hypotenuse.
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Two rectangles have the exact same area.The measurements of the first rectangle is 3k by 3.Calculate the value of k
In the area of the rectangle the value of the k is 6.
According to the statement
We have to find that the value of the k in the area of rectangle.
So, For this purpose, we know that the
Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
From the given information:
Two rectangles have the exact same area.The measurements of the first rectangle is 3k by 3 and the measurements of the second rectangle is k+3 by 6.
Then
The area of the first rectangle = 3k*3
The area of the first rectangle = 9k
And
The area of the second rectangle = 6(k+3)
The area of the second rectangle = 6k+18
Then
Compare the both values of the area
6k+18 = 9k
9k - 6k = 18
3k = 18
k = 18/3
k = 6.
So, In the area of the rectangle the value of the k is 6.
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PLEASE HELP! NEED THIS ASAP! HELP PLSS!!!!!
Kevin has a pitcher that holds 2.75 quarts of juice. How many 1.4 quart cups can he fill up with one pitcher of juice?
Based on the quarts of juice that are in the pitcher that Kevin has, the number of 1.4 quart cups that can be filled up by one pitcher of juice is 1.96 cups.
How to find the number of cups?In order to find the number of 1.4 quart cups that Kevin would be able to fill up with the pitcher, you should divide the number of quarts that the pitcher can hold, by the number of quarts that each cup can hold.
The number of 1.4 quart cups that can be filled with one pitcher of juice is therefore:
= Number of quarts in pitcher / Number of quarts per cup
= 2.75 / 1.4
= 1.96 cups
In conclusion, the pitcher that Kevin has can fill up 1.96 cups.
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Factor ab + bc + b 2 + ac.
The factor of the terms ab + bc + b² + ac is ( a + b ) ( b + c ).
Given ab + bc + b² + ac
A factorization is a mathematical object of multiplying several factors usually smaller or simpler objects of the same kind.
To factor the terms we need to write like terms on one side as below
= ab + ac + bc + b²
Separating the common terms as
= a ( b + c ) + b (c + b )
= a ( b + c ) + b ( b + c )
= ( a + b ) ( b + c )
Therefore, the factor of the given terms ab + bc + b² + ac is ( a + b ) ( b + c ).
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How do we solve the formula for the indicated variable
Answer:
z = Fn +s.
Step-by-step explanation:
F = (z - s)/n
z - s = Fn
z = Fn +s.
PLUMBING Raven is deciding between two plumbing services. Service Provider A multiplies the average number of hours spent at a residence by $50, where the average number of hours spent at a residence is 1.5 hours for a new house and 3.75 hours for an old house. Service Provider B multiplies the exact number of hours spent at a residence by $60. Suppose Raven has a new house and needs a plumber for 1.75 hours. Find the cost of service charge using both methods.
The cost of service charge using service provider A and service provider B is $58.33 and $105 respectively.
The cost of service of each service providerService provider A:
Cost of plumbing service = $50Average number of hours spent at a residence for a new house = 1.5 hoursAverage number of hours spent at a residence for a old house = 3.75 hoursService provider B:
Cost of plumbing service = $60Since Raven has a new house
Cost of service charge using service A:
Cost of plumbing : average hours spent
50 : 1.5 = x : 1.75
50/1.5 = x/1.75
cross product
50 × 1.75 = 1.5 × x
87.5 = 1.5x
x = 87.5 / 1.5
x = $58.33
Cost of service charge using service B:
multiplies the exact number of hours spent at a residence by $60.
= 1.75 × 60
= $105
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Where's the bus? Jayden takes the same bus to
work every morning. The amount of time (in min-
utes) that he has to wait for the bus to arrive can be
modeled by a uniform distribution on the interval
from 0 minutes to 10 minutes.
a) draw a density curve to model the amount of time that Jayden has to wait for the bus. Be sure to include scales on both axes.
b) on what percent of days does Jayden wait more than 7 minutes for the bus?
c) find the 38th percentile of this distribution.
Using the uniform distribution, we have that:
a) The graph is given at the end of the answer.
b) Jayden waits more than 7 minutes 30% of the days.
c) The 38th percentile is of 3.8 minutes.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
For this problem, the bounds are given as follows:
a = 0, b = 10.
As shown in the graph at the end of the answer.
The probability of waiting more than 7 minutes is:
[tex]P(X > 7) = \frac{10 - 7}{10 - 0} = 0.7[/tex]
Jayden waits more than 7 minutes 30% of the days.
The 38th percentile is x for which P(X < x) = 0.38, hence:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
0.38 = x/10
x = 3.8.
The 38th percentile is of 3.8 minutes.
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