l o o k i t u p o n g a u t h m a t h c o p y u r q e s t i o n t h e r e
Step-by-step explanation: You're welcome
A prism and two nets are shown below:
Image of a right triangular prism and 2 nets. The triangle bases have base 4, height 3, and diagonal side 5. The length of the prism from the bases is 8.6. Net A has 3 rectangles in a row. The middle one has sides AC and CD. This middle one has triangle ABC on top and identical triangle below. Net B is the same except that the triangle base ABC is on top of the last rectangle which has sides AC and CD. Units are in inches.
Part A: Which is the correct net for the prism? Explain your answer.
Part B: Write the measurements of Sides AB, BC, and CD of the correct net.
Part C: What is the surface area of the prism? Show your work.
Step-by-step explanation:
a) Imagine folding the net into the shape. In this case, Net A can have both triangles fold up, and both rectangles fold in to make the above shape.
b) Side AB on this net is the height of the triangle, 3 inches.
Side BC is the same as the hypotenuse (diagonal) on the triangle, which . is 5 inches.
Side CD is the same as the length of the shape, which is 8.6 inches.
c) Surface area = area of all sides
Triangle = 1/2 bh
= 2*3
= 6 inches squared
There are two triangles, so that adds to 12 inches squared.
Now all of the rectangles:
Left most = 3*8.6
= 25.8 inches squared
Middle = 4*8.6
= 34.4
Right most = 5*8.6
= 43
Now we can add all of this:
43 + 34.4 + 25.8 + 12
= 115.2 inches squared.
This is the surface area of the prism.
PLEASE HELP
PLEASE SHOW HOW U CHECKED UR WORK
Answer: 2= -8+x
Step-by-step explanation:
Add eight to both sides to get
10=x
CHECK
then plug it in to get
2=-8+10
simplify
2=2
Write each expression as a single natural logarithm. -2 ln 2
Expression as a single natural logarithm of -2 ln 2 is -1.386.
What is natural logarithm?
-2 ln 2
[tex]ln 2^{-2}[/tex] = - 1.386
The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.
The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
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Which is an equivalent expression for 4 times d raised to the negative third power all over quantity 22 times d raised to the ninth power end quantity?
whoever gets it right gets a crown
please helppp
Answer:
An equivalent expression for 4 times d raised to the negative third power all over quantity 22 times d raised to the ninth power is 2d⁻³/11d⁻⁹
What is an expression?
An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
What is an exponent?
An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as bⁿ.
Translating the word problem into an algebraic expression, we have;
4 times d raised to the negative third power = (4 × d)⁻³ = 4d⁻³
22 times d raised to the ninth power = (22 × d)⁻⁹ = 22d⁻⁹
Next, we would write the equation as a quotient:
Expression = 4d⁻³/22d⁻⁹
Expression = 2d⁻³/11d⁻⁹
Every counting number is a rational number true or false
Reason:
The counting numbers, aka the set of natural numbers, is the set {1, 2, 3, 4, 5, ...} which is the set of positive integers
A value like 5 is the same as 5/1, which shows it is rational.
A rational number is any fraction of two whole numbers (eg: 2/3 and 4/7). The denominator cannot be zero.
Since we can rewrite the 5 as 5/1, it can be done with any counting number to show the natural numbers is a subset of the rational numbers.
Any counting number is rational, but not the other way around.
If two quantities are proportional, which must be true of a graph showing the relationship between them? Select all that apply. A The graph is a curve. B The points on the graph are connected. C The graph increases from left to right. D The points of the graph form a straight line. E The points of the graph must include the origin. F The points must all form equivalent ratios.
If two quantities are proportional, the true statements about the graph showing the relationship between them are-
D. The points of the graph form a straight line.
E. The points of the graph must include the origin.
F. The points must all form equivalent ratios.
What is proportionality?In mathematics, two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is called the coefficient of proportionality or proportionality constant.
Now let us suppose there are two quantities x and y.
A graph between two quantities is plotted.
Suppose x is directly proportional to y.
Thus, these Two variable quantities have a constant ratio
So, we can write
y ∝ x
Applying constant of proportionality,
y = kx
Where k is the constant of proportionality.
It represents a straight line.
Now,the value of x = 0 then the value of y must be equal zero, then the line which represented the direct variation must be passes through the origin
Now If two variable quantities have a constant ratio and since y = kx is a straight line and passes through origin therefore from the given options the correct answer are-
D. The points of the graph form a straight line.
E. The points of the graph must include the origin.
F. The points must all form equivalent ratios.
Thus, If two quantities are proportional, the true statements about the graph showing the relationship between them are-
D. The points of the graph form a straight line.
E. The points of the graph must include the origin.
F. The points must all form equivalent ratios.
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in jacobs neighborhood, 1/4 of the houses are blue, 5/8 of the houses are red and the rest are gray. what fraction of the houses are gray?
Step-by-step explanation:
the common number of 4 and 8 is 8. You multiply 1/4 by 2 and it is equal to 2/8. 2/8+ 5/8= 7/8. 8-7=1. 1/8 of the houses are gray.
[SQA Advanced Higher 2019 Q17c(i) Edited]
The first three terms of a sequence are given by
5x+8, 2x + 1, x - 4
-
The sequence is geometric for x = 11. There is a second value for x that also gives a geometric sequence.
For this second sequence, show that x²+bx+c = 0 for b and c which are integers to be found.
For the given equations 5x+8, 2x + 1, x - 4 does not form the geometric sequence as the common ratio is not equal.
What is defined as the geometric sequence?A geometric sequence is a type of sequence in which the ratio of every two consecutive terms is constant. This ratio is referred to as a geometric sequence common ratio. In other words, each term in a geometric sequence is multiplied by a constant, yielding the next term. So a geometric sequence has the form a, ar, ar²..., where 'a' is the initial term and 'r' is the sequence's common ratio. The common ratio may be both positive and negative.For the given sequence;
The first three terms of a sequence are given by;
a = 5x+8,
ar = 2x + 1,
ar² = x - 4
Put the value of x = 11 to check if the sequence forms and GP.
a = 5x11+8 = 63
ar = 2x11 + 1 = 23
ar² = 11 - 4 = 7
Find the common ratio;
ar/ a = ar²/ar
23/ 63 = 7/ 23
But 23/ 63 ≠ 7/ 23
As, the common ratio is not same, it will not form as geometric sequence.
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A 42-inch string is to be cut so that one piece is 7 inches longer than the other. what is the length of the shorter piece? the shorter piece has a length of __ inches.
If a 42-inch string is to be cut so that one piece is 7 inches longer than the other, then the shorter piece has a length of 17.5 inches
The length of the shorter piece can be determined by using an algebraic expression.
Any expression consisting of both numbers and letters is considered to be an algebraic expression.
Considering, x to be the length of the shorter piece
As the longer piece is 7 inches longer than the shorter piece, an algebraic expression can be given as,
x + (x + 7) = 42
x + x + 7 = 42
2x + 7 = 42
2x = 42 - 7
2x = 35
x = 35 ÷ 2
x = 17.5
Hence, the length of the shorter piece is calculated to be 17.5 inches.
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What is the quotient of 4 over 5 divided by 3 over 4?
Answer:
Step-by-step explanation:
flip 3/4 since we are dividing so we get 4/5 times 4/3 to get 16/15
So we get 1 1/15
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Solve each inequality using a table.
(Hint: For more accurate results, set ΔTbl=0.001 . )
log x+log (x+1)<3
After solving the given inequality the answer is logx+log₁₀(x+1)<3.
What exactly do we mean by inequality?Inequality is a connection in mathematics that makes a non-equal comparison between two numbers or even other mathematical expressions.It is most commonly used on a number line to compare the size and shape of two numbers.So,
Given: logx+log(x+1)<3Then,
logx+log(x+1)<3 ⇒ logx+log₁₀(x+1)<3Therefore, after solving the given inequality the answer is logx+log₁₀(x+1)<3.
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PLEASE I REALLY NEED HELP !!!
79°
73°
Find the value of the missing angle x.
||
२००
Answer:
x = 152°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle , then
x = 79° + 73° = 152°
Describe a situation that could be represented by |x-4|=10
(01.01 LC)
A line is an undefined term because it
O contains an infinite number of points
O can be used to create other geometric shapes
O describes something that does not have width or depth
O is a term that does not have a formal definition
A line is an undefined term because it describes something that does not have width or depth. thus, option describes something that does not have width or depth is correct
Which ray can be said as belonging to a line segment?If the ray lies onto the considered line segment(overlapping), then it can be said belonging to the considered line segment.
(Line segment has 2 fixed ends, whereas a ray has one end only, another end is not fixed)
A line segment is a straight line with finite length, and thus, have to endpoints (points on either ends).
A line can extend its length in both sides infinitely. It contains arrowheads indicating it can extend.
A line is an undefined term because it describes something that does not have width or depth. thus, option describes something that does not have width or depth is correct
If the ratios comparing two quantities are not equivalent, the two quantities are nonproportional.
True
False
5
An ant is 10 mm underground and
climbs up 0.25 mm per minute. A
i second ant is 15 mm underground and
climbs up 0.5 mm per minute. After
how many minutes will the first ant be
lower than the second ant?
d
S
Answer:
After 4 minutes
Step-by-step explanation:
After 1 min: Ant 1 is 9.75 mm underground. Ant 2 is 14.5 mm underground.
After 2 min: Ant 1 is 9.5 mm under. Ant 2 is at 14 mm under.
After 3 min: Ant 1 is 9.25 mm under.
After 4 min: Ant 1 is 9 mm under. Ant 2 is 13.5 mm under.
Ant 2 is now closer to the surface than Ant 1.
Write an ordered-pair rule for the translation in the sequence that maps angle ABC to angle A'B'C'.
The translation sequence that maps angle ABC to angle A'B'C' is (x, y) ⇒ (x + 3, y + 6)
What is transformation?Transformation is the movement of a point around the coordinate plane. Types of transformations are rotation, translation, reflection and dilation.
Translation is a type of transformation which is either up, down, left or right in the coordinate plane.
The translation sequence that maps angle ABC to angle A'B'C' is (x, y) ⇒ (x + 3, y + 6)
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Please Help ASAP! I'll Mark You Brainliest If You're the Best. ;D
Write the function rule g(x) after the given transformations of the graph of f(x) = 9x.
reflection in the x-axis; vertical compression by a factor of 1/3
g(x) = []
The function rule after the given transformation is g(x) = -3x
What is a function?A function is defined as a relation between a set of inputs having one output each.
We have,
f(x) = 9x
Vertical compression = 1/3
Reflection in x-axis.
We know that when we compress a function f(x) by scale factor m
The new compress function is represented:
F(x) = m(f(x))
Reflection across the x-axis changes the sign of the new function.
Now,
With the vertical compression:
F(x) = 1/3 (f(x))
F(x) = 1/3(9x) = 3x
With the reflection in the x-axis:
g(x) = - F(x)
g(x) = -3x
Thus the function rule after the given transformation is g(x) = -3x
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for heights of full-grown men in a country, state whether you would expect a histogram of the data to be bell-shaped, uniform, skewed left, or skewed right.
Left-Skewed is the answer.
Histograms are a very common method of visualizing data, and that means that understanding how to interpret histograms is a valuable and important skill in virtually any career. There are a number of things to pay particular attention to when reading a histogram.
Bell-Shaped: A histogram with a prominent ‘mound’ in the center and similar tapering to the left and right. One indication of this shape is that the data is unimodal – meaning that the data has a single mode, identified by the ‘peak’ of the curve.
Uniform: A uniform-shaped histogram indicates data that is very consistent; the frequency of each class is very similar to that of the others.
Right-Skewed: A right-skewed histogram has a peak that is left of the center and a more gradual tapering to the right side of the graph.
Left-Skewed: A left-skewed histogram has a peak to the right of the center, more gradually tapering to the left side. It is unimodal, with the mode closer to the right and greater than either mean or median.
Undefined Bimodal: This shape is not specifically defined, but we can note regardless that it is bi-modal, having two separate classes or intervals equally representing the maximum frequency of the distribution.
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-7+11g=9-5g
xkdkdskldsvklnldsvknldsvlkndv
Answer:
g = 1
Step-by-step explanation:
this is how you solve
Answer:
g = 1
Step-by-step explanation:
Add 7
[tex]-7+11g+7=9-5g+7[/tex]
Simplify it
[tex]11g=-5g+16[/tex]
Add 5g
[tex]11g+5g=-5g+16+5g[/tex]
Simplify further
[tex]16g=16\\\frac{16g}{16}=\frac{16}{16}\\= 1\\g = 1[/tex]
(x-2)²=9 in stanrard form
Answer:
Step-by-step explanation:
Your answer is going to be x²+4x-5=0
6. Steve can save 9 dollars every day while Maria can save 12 dollars every day. What is the least number of days it will take each person to save the same amount of money?
Answer:
Steve has to save for 4 days and Maria has to save for 3 days and they will save $36 each.
Step-by-step explanation:
S = 9 x 4 = 36
M = 12 x 3 = 36
Find the amount in a continuously compounded account for the given conditions.
principal: $ 500 ; annual interest rate: 4.9 % ; time: 2.5 years
The amount in a continuously compounded account is $ 565.2 .
If compound interest is calculated and reinvested into the balance of an account across an essentially unlimited number of periods, continuous compounding is the mathematical limit that compound interest can reach.
The amount in the continuously compounded account is given as:
[tex]A=Pe^{rt}[/tex]
Where P is the principal amount, r is the interest rate, and t is the time period in years.
Now, we have
The principal amount, P = $500
Annual interest rate, r = 4.9 % = 4.9 / 100 = 0.049
Time = 2.5 years
Therefore, the amount in a continuously compounded account is:
[tex]\[A=Pe^{rt}\][/tex]
[tex]A = $500 \times e^{0.049 \times 2.5}[/tex]
[tex]A = $500 \times e^{0.049 \times 2.5}[/tex]
[tex]A = $500 \times e^{0.1225}[/tex]
A = $500 × 1.13031912007
A = $ 565.159
A = $ 565.2
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What is an equation of the line that passes through the point (8,-2) and is perpendicular to the line 4x+3y=3
Answer:
[tex]y = \frac{3}{4}x - 8[/tex]
Step-by-step explanation:
We know that the slope of a line perpendicular to a line with a given slope is the negative reciprocal of that given slope. We are given that we want a line perpendicular to that of 4x + 3y = 3. To find the slope of this given line, we put it into slope intercept form y = mx + b where m is the slope:
[tex]4x + 3y = 3[/tex]
[tex]3y = 3 - 4x[/tex]
[tex]y = 1 - \frac{4}{3}x[/tex]
So we have that the slope of our given line is -4/3. The negative reciprocal of this is 3/4. We thus have that the slope of the line we are looking for is 3/4.
We then know that the equation of the line we want fits the form [tex]y=\frac{3}{4} x + b[/tex], which we know through point slope form. We are then given that (8, -2) is a point on this line. Plugging in:
[tex]-2 = \frac{3}{4}(8) + b[/tex]
[tex]-2 = 6 + b[/tex]
[tex]b = -8[/tex]
We then get the equation of the line we are looking for as [tex]y = \frac{3}{4}x - 8[/tex].
V.15 Solve a system of equations using any method: word problems GDQ
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Scouting troops in Webster County are putting on a crab feed to raise money for camp. They
offer a complete crab dinner as well as a vegetarian option. One troop member sold tickets
for 23 crab meals and 34 vegetarian meals, with total receipts of $1,930. Another sold tickets
for 20 crab meals and 38 vegetarian meals, bringing in a total of $1,906. How much do the
two types of tickets cost?
A ticket for a crab meal costs $
and a ticket for a vegetarian meal costs $
The ticket for a crab meal costs $44 and a ticket for a vegetarian meal costs $27
From the question, we are to solve the system of equations.
First, we will form the system of equations
Let x represent the ticket for a crab meal and y represent the ticket for a vegetarian meal
From the given information,
"One troop member sold tickets for 23 crab meals and 34 vegetarian meals, with total receipts of $1,930"
That is,
23x + 34y = 1930 -------------- (1)
Also,
"Another sold tickets for 20 crab meals and 38 vegetarian meals, bringing in a total of $1,906"
20x + 38y = 1906 -------------- (2)
Now, solve the equations simultaneously
Multiply equation (1) 20 and equation (2) by 23
20 × [23x + 34y = 1930
23 × [20x + 38y = 1906
460x + 680y = 38600
460x + 874y = 43838
Subtracting the resulting equations, we get
-194y = -5238
y = -5238/-194
y = 27
Substitute the value of y into equation (1)
23x + 34y = 1930
23x + 34(27) = 1930
23x + 918 = 1930
23x = 1930 - 918
23x = 1012
x = 1012/23
x = 44
Hence, the ticket for a crab meal costs $44 and a ticket for a vegetarian meal costs $27
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Solve. 3(x-2)³/₄=24
The value of x is 18.
3 × [tex] {(x - 2)}^{3/4} [/tex] = 24
Dividing the left hand side and right hand side of the equation by 3, we get
[tex] {(x - 2)}^{3/4} [/tex] = 8
Now, on the right hand side of the equation 8 can be written as
[tex] {(x - 2)}^{3/4} [/tex] = [tex] {(2)}^{3/4×4} [/tex]
Taking paper 4/3 on both the sides of the equation, we get
[tex] {(x - 2)}^{3 / 4 \times 4 / 3} = {2}^{3 / 4 \times 4 \times 4 / 3} [/tex]
x - 2 = 2⁴
x - 2 = 16
x = 16 + 2
x = 18
Thus, the value of x = 18.
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Which proportion is a representation of "The number x is 15% of 60?"
Answer:
Im pretty sure its A
Step-by-step explanation:
Triangle D E F is shown. Angles D F E and F E D are congruent. The lengths of F D and D E are 12, and the length of F E is 3. ΔDEF is an isosceles triangle with base angles E and F. What is the angle measure of the smallest angle in the triangle? Approximate to the nearest degree. degrees What are the measures of the two congruent base angles? degrees
Using the law of cosines, the measures of the angles are given as follows:
Smallest: 14.36º.Two congruent base angles: 82.82º.What is the law of cosines?The law of cosines states that we can find one of the sides or the angle C of a triangle according to the following equation:
c² = a² + b² - 2abcos(C)
In which:
C is the angle opposite to side c.a and b are the lengths of the other sides.For this problem, the parameters for the triangle are given as follows:
a = b = 12, c = 3.
We want to solve for the smallest angle C, hence:
c² = a² + b² - 2abcos(C)
9 = 288 - 288cos(C)
288cos(C) = 279
cos(C) = 279/288
C = arccos(279/288)
C = 14.36º.
The other two angles are congruent, and the sum of the internal angles of a triangle is of 180º, hence:
14.36 + x + x = 180
2x = 165.64
x = 165.64/2
x = 82.82º.
Then the measures of the angles are given as follows:
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Answer:
14
83
Step-by-step explanation:
i did it on edge
Given the following Venn diagram, choose the correct set for . {2, 3, 5, 6, 8, 9} {3, 4, 6, 7, 9} {2, 3, 5, 6, 7, 9
Following Venn diagram, the correct choice for the set is: {2, 3, 5, 6, 8, 9}
What are intersects of sets in a Venn diagram?
In a Venn diagram, as used in sets, the intersect of sets refers to members that ate are common to the sets is perspective.
For the given Venn diagram, the intersect of the sets M and N is the numbers in the middle, this means the set M and N has this numbers in common.
However, the question is asking not intersect of sets M and N so knowing the intersect will help us exclude them to have {2, 3, 5, 6, 8, 9}.
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can someone please explain to me how to solve this question
According to the given figure, option (A) and option (F) are correct options which better shows ∠4 ≅ ∠6 respectively.
Let's procced to solve this question.
∠4 ≅ ∠8 by the corresponding angle postulate because two parallel lines is cut by a transversal and ∠4 ≅ ∠8 by the corresponding angle postulate. It's true.
∠6 ≅ ∠8 by the definition of vertical angles. It's true.
and by using the transitive property of congruence that ∠A ≅ ∠B and ∠B ≅ ∠C then ∠A ≅ ∠C.
⇒ ∠4 ≅ ∠6 by the transitive property of congruence.
Hence, option (A) is correct.
Now,
∠2 ≅ ∠6 by the corresponding angle postulate because two parallel lines is cut by a transversal and ∠2 ≅ ∠6 by the corresponding angle postulate. It's true.
∠2 ≅ ∠4 by the definition of vertical angles. It's true.
and by using the transitive property of congruence that ∠A ≅ ∠B and ∠B ≅ ∠C then ∠A ≅ ∠C.
⇒ ∠4 ≅ ∠6 by the transitive property of congruence.
Hence, option (F) is correct.
Therefore, option (A) and option (F) are correct option.
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