Answer:
If its 134, 37 its 48.5
Step-by-step explanation:
Help Please!!!!!
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By using algebra and trigonometry properties, the expression (cot² t + 1) · (sin² t + 1) is equivalent to the expression cot² t + 2.
How to prove a trigonometric equivalence
In this problem we find an equivalence between two trigonometric expressions. This can be done by transforming the expression at one side by using algebra and trigonometry properties until the expression of the other side is found. The procedure is now presented and explained:
(cot² t + 1) · (sin² t + 1) Given
(cot² t + 1) · sin² t + (cot² t + 1) Distributive property
cot² t · sin² t + sin² t + cot² t + 1 Distributive property
cos² t + sin² t + cot² t + 1 cot t = cos t / sin t / Associative and commutative properties / Existence of multiplicative inverse / Modulative property
1 + cot² t + 1 cos² t + sin² t = 1
cot² t + 2 Commutative and associative properties / Definition of addition
Thus, the expression (cot² t + 1) · (sin² t + 1) is equivalent to the expression cot² t + 2.
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With your writing coach, solve the following problem:
Jess bought x bananas, then she bought 5 tomatoes. She has 12 pieces of produce in all. How many bananas did she buy? Solve for x.
[tex] x + 5 = 12 \\ x = 12 - 5 \\ x = 7[/tex]
she brought 7 bananas
In an election, 313 votes are cast. How many votes are needed to have a majority of
the votes in this election?
Answer with a whole number of votes.
-3(-7b + 3) + 8b = 5b-4(1 - 6b)
Answer:
No solution
Step-by-step explanation:
¿Es este polígono un paralelogramo ? Explica
Answer: No veo lo que estás mirando. Pero aquí hay un consejo para ayudarte. Un paralelogramo es una figura con cuatro lados en los que los lados opuestos son paralelos.
¡Espero que esto ayude! :)
5:2:11=x:6:y
please give x and y for answer
also that is ratio
If we want the two ratios to be equivalent, then we need to use x = 15 and y = 33.
How to find the values of x and y such that the two ratios are equivalent?
Let's say that we have a simple ratio between two amounts, it is A:B
If we multiply both of these amounts by the same scalar, k, we will get:
k*A and k*B
And the ratio between the new amounts k*A: k*B is equivalent to the first ratio, A:B
So we will use this to solve the problem, here we have two ratios:
5:2:11 = x:6:y
Note that in the first ratio the first value is 2, and in the second case it is 6 so let's find the value of k such that:
2*k = 6
k = 6/2 = 3
Then if we multiply the correspondent values in the first ratio by 3, we will get:
x = 5*3 = 15
y = 11*3 = 33
Then we can see that the ratios:
5:2:11 and 15:6:33 are equivalent.
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Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that (28 + 45) squared = 73 squared.
3 squares are positioned to form a right triangle. The small square is labeled 28, medium square is 45, and large square is not labeled.
Which best describes Nadia’s solution?
She is correct because she applied the Pythagorean theorem properly and her arithmetic is accurate.
She is incorrect because she should have used 45 as the length of the hypotenuse.
She is incorrect because she should have squared each leg length and then found the sum.
She is correct because the hypotenuse is the longest side of the triangle.
Nadia's solution is incorrect because she should have squared each leg length and then found the sum.
What is the Pythagorean theorem?A right angled triangle is a three-sided polygon. The three sides are the length, base and the hypotenuse. The hypotenuse is the longest side of the triangle. The sum of angles in a right angled triangle is 180 degree.
The Pythagorean theorem can be used to determine the length of the hypotenuse given the lengths of the other sides of the triangle. According to this theorem, the sum of the square of the two sides is equal to the length of the hypotenuse.
The Pythagoras theorem: a² + b² = c²
where:
a = lengthb = basec = hypotenuse28² + 45²
= 784 + 2025 = 2809
Hypotenuse = √2809= 53
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Answer:c
Step-by-step explanation:
I did the quiz
Exactly 120 years ago, students planted a tree in front of their school. Since then, the tree has grown 33 meters taller and the distance around the trunk has increased by 3 meters. Use pencil and paper. Describe how you can use this information to find at least two different unit rates. Then find these unit rates.
Answer: Rate of tree's height per year = 0.275 m per year.
Rate of tree's trunk per year = 0.025 m per year.
Step-by-step explanation:
Given data,
Exactly 120 years ago, students planted a tree in front of their school
Since then, the tree has grown 33 meters taller
The distance around the trunk has increased by 3 meters.
Define Unit rate :
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
So, we can write,
There are 2 various unit rates in this:
The increase of the tree's height per year
The increase of the tree's trunk per year
Let us assume,
The increase of the tree's height per year = x
The increase of the tree's trunk per year = y
we can solve it :
Rate of tree's height per year x = 33m / 120 years
x = 0.275 m per year.
Rate of tree's trunk per year y = 3m / 120 years
y = 0.025 m per year.
Therefore,
Rate of tree's height per year = 0.275 m per year.
Rate of tree's trunk per year = 0.025 m per year.
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Greg is putting money into a saving account. He starts with $450 in the saving account and each week adds 30
Write an equation relating to s & w
Answer:
Hope This Helps
Step-by-step explanation:
S=450 + 30W
Plugging 14 into W, we get: S= 450 +30(14)= $870.
Find the next number in the sequence 2,7,23,49,149,
Answer:
301
Step-by-step explanation:
elise does not like sorbet
Answer: wdym
Step-by-step explanation:
Elise doesn't like sorbet.
(Assuming we fix the grammar???)
HELP PLEASEE
help is needed
and greatly appreciated
Based on the information provided, we have:
The value of composite function f(g(x)) is equal to: D. 5x - 15.The value of composite function g(f(x)) is equal to: B. 5x - 3.What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.
Given the following functions:
f(x) = 5x
g(x) = x - 3.
Next, we would determine the value of composite function f(g(x)) as follows:
f(g(x)) = f(x - 3)
f(g(x)) = 5(x - 3)
f(g(x)) = 5x - 15.
Also, we would determine the value of composite function g(f(x)) as follows:
g(f(x)) = g(5x)
g(f(x)) = (5x) - 3
g(f(x)) = 5x - 3.
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Find the area of a parallelogram with a base of 9 ft a height of 4 ft.
Use the graph to write an equation of the line. Use simplest fraction form when necessary.
Y=
Interpret the slope.
A The fuel decreases 30 gallons for every mile driven.
B The fuel decreases 12 gallons for every mile driven.
C The fuel decreases 1/12 gallon for every mile driven
D The fuel decreases
1/30 gallon for every mile driven.
Thank you I appreciate it
Determine whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain clearly
My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.
Choose the correct answer below.
A. The statement is false. In this case, the change in the interest rate was a 240% increase.
B. The statement is false. In this case, the change in the interest rate was a 1.4% increase.
C. The statement is false. In this case, the change in the interest rate was a 140% increase.
D. The statement is false. In this case, the change in the interest rate was a 0.8% increase.
E. The statement is true. To determine how much a value increased by, the relative change should be computed. In this case, the relative change is 40%
Given statement 'My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.' is True.
The correct answer is an option (E) The statement is true. To determine how much a value increased by, the relative change should be computed. In this case, the relative change is 40%
In this question, we have been given a statement 'My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.'
We need to check whether given statement is true or false.
The bank raised its interest rate on savings accounts from 2% to 2.8%
We find the percent increase.
Here the absolute increase is: |2.8 - 2| = 0.8
The relative increase is: absolute increase / original value
= 0.8 / 2
= 0.4
The percent increase is: relative increase × 100
= 0.4 × 100
= 40%
Therefore, given statement 'My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.' is True.
The correct answer is an option (E) The statement is true. To determine how much a value increased by, the relative change should be computed. In this case, the relative change is 40%
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A STORY OF RATIOS
скобол раде
Lesson 17: The Unit Rate as the Scale Factor
Name
Exit Ticket
Dat
A rectangular pool in your friend's yard is 150 ft. x 400 ft. Create a scale drawing with a
or an equation to show how you computed the scale drawing lengths.
The scale rectangular of the pool must be 3 x 8 inches.
According to the question,
Given that,
a rectangular pool yard is 150 ft. × 400 ft,
create a scale drawing with a scale factor of 1 to 600, the following calculation must be followed :
[tex]\frac{150}{600} = \frac{1}{4} = 0.25[/tex]
[tex]\frac{400}{600} = \frac{2}{3} = 0.6667[/tex]
1 foot = 12 inches
12 x 0.25 = 3
12 x 0.666 = 8
Then, the scale drawing of the pool must be 3 x 8 inches.
we understand better with the help of some example
“If you are going to build a model, you have to use a scale. You shrink down the real dimensions so that you can actually build a model that everyone will be able to see, think about it, Everest is 29,035 feet high, you can’t build that using the real dimensions,
First, let’s think about our unit scale.
1 inch = 3 feet
If we have a building 24 feet long, that is the actual dimensions. We need to represent the dimensions using our unit scale.
We can say that 8 inches = 24 feet. This is our answer.
First, let’s make a note of the unit scale.
1 inch = 8 feet
We have been given the scale dimension and not the actual dimension. We are going to need to solve for the actual dimension. Let’s write a proportion to do this.
scale dimension actual dimension=1 in8 ft=5 inches
We can see that one times five is equal to five. We can do this to the actual dimension as well. Eight times five is equal to forty.
The actual length of the building is 40 feet.
Popular for ships, especially liners and capital ships. This is the traditional scale for comparative drawings of ships, used by the Royal Navy as it is about one-tenth of a nautical mile to the foot. Warship models produced by produces airliner models in this scale.
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Your teacher has 48 juice boxes and 64 candies for a Halloween party. Each student will receive the same amount of juice boxes/candies, and all juice boxes/candies must be used.
The greatest number of students that can attend the party is 16.
Given, the teacher has 48 juice boxes and
64 candies for a Halloween party.
Each student will be given an equal number of juice boxes or sweets, and each one must be consumed.
how many (greater) number of students can attend the party = ?
In order to determine the greatest students we need to calculate the greatest common divisor of the numbers.
To calculate the greatest common divisor, we need to find out the prime factors of each number.
Therefore, by the method of prime factorization.
Prime factors of 48 = 2 × 2 × 2 × 2 × 3
Prime factors of 64 = 2 × 2 × 2 × 2 × 2 × 2.
Now, HCF of (48,64) = 2 × 2 × 2 × 2 = 16
Therefore we get the gcd as 16.
Hence the greatest number of students who can attend the party is 16.
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Look for a pattern in the following list. Then use this pattern to predict the next number.
1
1
6,6,7,7,8,...
Type the next number in the list.
7.
"
6,
(Type an integer or a fraction.)
***
...
Ms. Cody needs 2.65 yards of fabric to make one pillow. How many yards of fabric will she need to make 17 pillows?
Ms. Cody needs 45.05 yards of fabric to make 17 pillow.
What is referred as the unitary method?The unitary formula is used to measure the value of one unit given a multiple.The unitary method determines the value of a unit and then calculates the value of a necessary number of units.If we need to calculate the ratio with one quantity to another, we must employ the unitary method.The value of a unit quantity is determined by calculating first in the unitary method before calculating the value of other units. It comes in two varieties.Variation in DirectVariation in the inverseFor the given question;
Ms. Cody needs 2.65 yards of fabric to make one pillow.
For finding yards for 17 pillows, simply multiply the given yards by 17.
For 17 pillows = 17×2.65
For 17 pillows = 45.05
Thus, 45.05 yards of fabric is required to Ms.Cody to make 17 pillows.
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1. Triangle ABC with coordinates A(12, -3), B(12, 3) and C(-1, -1) is reflected across
the line Y=3. What are the new coordinates?
Answer:
A'(12,9), B'(12,3), C'(-1,5)
Step-by-step explanation:
A is 6 units from the line y=3, so it will map to be 6 units away on the other side of y=3, to the point (12, 9).
Similarly, B' has coordinates (12,3) and C' has coordinates (-1, 5)
Suppose you have entered a 42-mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 5 miles per hour, and during your bicycle race, your average velocity is 27 miles per hour. You finish the race in 4 hours. What is the distance of the run? What is the distance of the bicycle race?
The distance of the running is 15 miles and the distance of the bicycling is 27 miles.
According to the statement,We have to find that the distance of the run and the bicycle race.
So, For this purpose, we know that the
The distance between two points is that the length of the trail connecting them.
From the given information:
you have entered a 42-mile biathlon that consists of a run and a race. During your run, your average velocity is 5 miles per hour, and through your race, your average velocity is 27 miles per hour. You finish the race in 4 hours.
Then
Total distance of the race = 42 miles
The average velocity of the running = 5 miles per hour
The average velocity of the bicycling = 27 miles per hour
Then
If let he covers 27 miles with the cycles then
The distance he runs = 42-27
The distance he runs = 15.
Then it means he runs for a 3 hours.
So, The distance of the running is 15 miles and the distance of the bicycling is 27 miles.
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Which equation and number line show that a number and its opposite are additive inverses?
Which equation and number line show that a number and its opposite are additive inverses?
An equation and number line which shows that a number and its opposite are additive inverses is: 2 + (-2) = 0 in graph B.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
What is an additive inverse?An additive inverse can be defined as a number (n) which when added to another number (a) makes it equal to zero (0). This ultimately implies that, an additive inverse is the opposite of another number (a).
Mathematically, an additive inverse can be represented by the following expressions:
a + n = 0
a = -n
In this context, we can reasonably infer and logically deduce that an equation and number line which shows that a number and its opposite are additive inverses is 2 + (-2) = 0 in graph B (see attachment).
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I don’t understand this graph. It doesn’t seem to be on the whole numbers. What intervals is it increasing on, decreasing, or constant? How do I figure out and write the domain and range?
Check the picture below.
yes, it doesn't have all whole numbers, is a so-called piece-wise function, whose behaviour can radically change per interval, notice the arrowheads, meaning the function continues indefinitely all the way up to ∞.
work out the value of x
The quotient of eight and a number.
Answer:
8/x
Step-by-step explanation:
Quotient means to divide the two numbers, in this case 8 and x.
Will give Brainliest!!!!!!!
Answer:
[tex]56e \geqslant 53 \geqslant [/tex]
Hi
100 POINTS AND BRAINLIEST ANSWER FAST question in image
Answer:
A) B 20.5 -A s-2.5=-3 is (0.5x)-(-2.5x) = -3x
B) A and B = 2 skydiver's distance each from x = -2.5 and 0.5 inequality shows us when x = 0 then A < -2.5 The second inequality shows us when x = 0 then B2 0.5 here on number line we an keep closed circles and shaded lines in opposite direction each from O showing domain is x domain = -2.5 to O and x domain= 0 to 5 (using commas instead of to) The actual expression then goes B≥0.5-A≤ -2.5=-3 so we an just use (0.5x)-(-2.5x)=-3x
An analysis of the amount of fiber (in grams) and the potassium content(in milligrams) in servings of 77 breakfast cereals produced the regression model
Ths meaning of the slope based on the information is that the model predicts that cereals will have approximately 26 more milligrams of potassium for every additional gram of fiber.
How to illustrate the information?It should be noted that the analysis of the amount of fiber (in grams) and the potassium content(in milligrams) in servings of 77 breakfast cereals produced the regression model.
The model used was:
Potassium = 35 + 26 Fiber
Therefore, the meaning of the slope based on the information is that the model predicts that cereals will have approximately 26 more milligrams of potassium for every additional gram of fiber.
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Write an equation for a line perpendicular to y = 3x + 2 and passing through the point (9,1)
Step-by-step explanation:
the slope of a line is always the factor of x, and it is defined as ratio (y coordinate change / x coordinate change) when going from one point to another on the line.
in that sense it is y/x.
the perpendicular slope turns that ratio upside-down and flips the overall sign.
so, in our case, the original slope is 3 = 3/1.
the perpendicular slope is then -1/3.
so, now, we have the slope and a point, and we can start with the point-slope form of the line equation :
y - y1 = a(x - x1)
"a" being the slope, (x1, y1) being the point.
y - 1 = -1/3 × (x - 9) = -x/3 + 3
y = -x/3 + 4
and that is the usual slope-intercept form
y = ax + b
"a" is again the slope, "b" is the y-intercept (the y value when x = 0).
Given a right triangle with legs a and b and hypotenuse c, find
the length of side b if
c=13, a = 12
I NEED ANSWERS QUICK PLEASE
The lenght of the side b is 5 units
According to the given information the triangle is an right angled triangle with sides a,b, c where a and b are the two legs of the triangle and c is the hypotenuse the measurments of the side a and c are given 12 and 13 respectively . For finding the value of b we need to use pythagoras theorem that is (Hypotenuse)² = (base)² + (height)²
Here we are going to use the same theorem for finding the value of the side b
According to the question:
hypotenuse = c = 13 units
height = a = 12 units
base = b = ?
As per the theorem : hypotenuse ² = base ² + height²
∴ (13)² = b² + (12)²
=> 169 = b² + 144
=> b² = 169 - 144
=> b² = 25
=>b = √√25 = ±5
b = 5 [∵ lenght cannot be negative ]
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