Final answer:
To calculate the commission, multiply the sale price of $8,800 by the commission rate of 5% to get a commission of $440.
Explanation:
The question is asking to calculate the commission a salesperson earns from selling a used car. The salesperson earns a 5% commission on the sale price of the car, which is $8,800. To find the commission, we multiply the sale price by the commission rate:
Sale Price = $8,800
Commission Rate = 5% (or 0.05 in decimal form)
Commission = Sale Price × Commission Rate
Commission = $8,800 × 0.05
Commission = $440
Therefore, the salesperson earns a commission of $440.
Jacob has 24 pieces of gum. He gives 3/4 of them away. How many pieces of gum does he have remaining?
Answer:
Step-by-step explanation: 6?
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 4 cos 3θ
Answer:
It is symmetric about the x-axis because cos(3θ) = cos(-3θ).
It is not symmetric about the y-axis because cos(3θ) is not equal to cos(3(pi-θ)).
It is not symmetric about the origin because cos(3θ) is not equal to -cos(3θ).
Answer:
The graph is symmetric about x- axis.
Step-by-step explanation:
We are given that an equation
[tex]r=4 cos 3\theta[/tex]
We have to find the graph is symmetric about x- axis , y-axis or origin.
We taking r along y-axis and [tex\theta [/tex] along x- axis
When the graph is symmetric about x= axis then (x,y)=(-x,y)
[tex] \theta [/tex] is replaced by [tex]-\theta[/tex] and r remain same then we get
[tex] r=4cos (-3\theta)[/tex]
We know that cos (-x)=cos x
Therefore, [tex] r=4cos 3\theta[/tex]
Hence, the graph is symmetric about x- axis.
When the graph is symmetric about y- axis then (x,y)=(x,-y)
Now, r is replaced by -r then we get
[tex]-r=4cos 3\theta [/tex]
[tex] r=-4 cos {3\theta}[/tex]
[tex] r=4 cos {\pi-3\theta}[/tex]
Therefore, the graph is not symmetric about y-axis.
When the graph is symmetric about y- axis then (x,y)=(x,-y)
Now, r is replaced by -r then we get
[tex]-r=4cos 3\theta [/tex]
[tex] r=-4 cos3\theta[/tex]
[tex] r=4 cos (\pi-3\theta)[/tex]
[tex](\theta,r)\neq (\theta,-r)[/tex]
Therefore, the graph is not symmetric about y-axis.
When the graph is symmetric about origin then (-x,-y)=(x,y)
Replaced r by -r and [tex]\theta [/tex] by-[tex]\theta[/tex]
Then we get [tex] -r=4cos3(-\theta)[/tex]
[tex] -r= 4 cos 3\theta[/tex]
Because cos(-x)=cos x
[tex] r=-4 cos 3\theta [/tex]
[tex](-\theta,-r)\neq(\theta,r)[/tex]
Hence, the graph is not symmetric about origin.
** WILL GIVE 15 POINTS FOR THIS ONE QUESTION + BRAINLIEST **
The graph below shows the solution to a system of inequalities:
Which of the following any qualities is modeled by the graph?
Answer:
x + 4y ≤ 15; y ≥ 0
Step-by-step explanation:
The graph doesn't do a very good job of modeling any of the given equations. However, the equations listed above seem the best fit.
The slope of the top (left) line is negative, so the equation will be of the form ...
x + 4y = something
When y=0, x=15, so the "something" is expected to be 15.
However, the line appears to go through points (6, 2) and (-2, 4). Both of these points are on the line x + 4y = 14.
The graph is shaded below the line so the values of x and y that are in the shaded area will add to less than 15 (or 14). Hence, the inequality will be ...
x + 4y ≤ something . . . . . part of the 3rd answer choice
The fact that the shading does not go below y=0 means the other limit is ...
y ≥ 0 . . . . . part of every answer choice.
Graph each function. Label x-axis.
Answer:
Here's what I get.
Step-by-step explanation:
Question 4
The general equation for a sine function is
y = a sin[b(x - h)] + k
where a, b, h, and k are the parameters.
Your sine wave is
y = 3sin[4(x + π/4)] - 2
Let's examine each of these parameters.
Case 1. a = 1; b = 1; h = 0; k = 0
y = sin x
This is a normal sine curve (the red line in Fig. 1).
(Sorry. I forgot to label the x-axis, but it's always the horizontal axes)
Case 2. a = 3; b = 1; h = 0; k = 0
y = 3sin x
The amplitude changes from 1 to 3.
The parameter a controls the amplitude of the wave (the blue line in Fig. 1).
Case 3. a = 3; b = 1; h = 0; k = 2
y = 3sin x - 2
The graph shifts down two units.
The parameter k controls the vertical shift of the wave (the green line
in Fig. 1).
Case 4. a = 3; b = 4; h = 0; k = 2
y = 3sin(4x) - 2
The period decreases by a factor of four, from 2π to π/2.
The parameter b controls the period of the wave (the purple line in Fig. 2).
Case 5. a = 3; b = 4; h = -π/4; k = 2
y = 3sin[4(x + π/4)] - 2
The graph shifts π/4 units to the left.
The parameter h controls the horizontal shift of the wave (the black dotted line in Fig. 2).
[tex]\boxed{a = 3; b = 4; h = \frac{\pi}{2}; k = -2}}[/tex]
[tex]\text{amplitude = 3; period = } \dfrac{\pi}{2}}[/tex]
[tex]\textbf{Transformations:}\\\text{1. Dilate across x-axis by a scale factor of 3}\\\text{2. Translate down two units}\\\text{3. Dilate across y-axis by a scale factor of } \frac{1}{4}\\\text{4. Translate left by } \frac{\pi}{4}[/tex]
Question 6
y = -1cos[1(x – π)] + 3
[tex]\boxed{a = -1, b = 1, h = \pi, k = 3}[/tex]
[tex]\boxed{\text{amplitude = 1; period = } \pi}[/tex]
Effect of parameters
Refer to Fig. 3.
Original cosine: Solid red line
m = -1: Dashed blue line (reflected across x-axis)
k = 3: Dashed green line (shifted up three units)
b = 1: No change
h = π: Orange line (shifted right by π units)
[tex]\textbf{Transformations:}\\\text{1. Reflect across x-axis}\\\text{2. Translate up three units}\\\text{3. Translate right by } \pi[/tex]
In 1990 the enrollment at Trenton East High School was 840. From 1990 through 1996 the enrollment increased at an average rate of 24 students per year. Write a linear model for the enrollment at Trenton East High School. Let x represent the number of years since 1990. Trenton East was built to hold 900 students. Write a linear inequality that represents the possible number of years since 1990 when the school's enrollment was less than the maximum capacity for which the school was built. Solve the inequality.
Answer:
X x 26= 26x +840
Step-by-step explanation:
Answer:
See below in bold.
Step-by-step explanation:
Linear model:
E = 24x + 840 where E is the enrolment .
If there are 900 students then
900 = 24x + 840
24x = 900-840 = 60
For E < 900 we have the inequality
24x < 60
x < 2.5
As we are dealing in years our answer is
x < 3 years .
Which of the following functions is quadratic?
Answer:sd
D. [tex]f\left(x\right)=2x^2+3x-5[/tex]
Step-by-step explanation:
Given choices are:
[tex]f\left(x\right)=\frac{2}{x^2}[/tex]
[tex]f\left(x\right)=3\left(3-x\right)[/tex]
[tex]f\left(x\right)=7^2[/tex]
[tex]f\left(x\right)=2x^2+3x-5[/tex]
Now we need to find about which of them is the quadratic function.
We know that quadratic function is written in form of [tex]f\left(x\right)=ax^2+bx+c[/tex]
Last choice looks similar to that form.
Hence coorect choice is D. [tex]f\left(x\right)=2x^2+3x-5[/tex]
Answer:
D. f(x) = 2x^2 + 3x - 5
Step-by-step explanation:
In Triangle JKL the measure of angle J = 40 and the measure of angle L is 3 times the measure of angle K. Find the measure of angle K and angle L.
The measure of angle K and angle L is 35 degrees and 105 degrees
Given information:In Triangle JKL the measure of angle J = 40 and the measure of angle L is 3 times the measure of angle K.
Calculation of measure of angle K and angle L:here we assume the angle K be x
So Angle L be 3x
Now
J + K + L = 180
40 + x + 3x = 180
40 + 4x = 180
4x = 180 - 40
4x = 140
x = 35 degrees
So, the angle K be 35 degrees
And, angle L should be 3(35) 105 degrees
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please solve!!!!!!!!! Thanks!
Answer:
a) 60°b) 80°c) 100°d) 50°e) 30°Step-by-step explanation:
The key here is that AB ║ EC. This makes arc AE have the same measure as arc BC. Since those have the same measure as AB and the three arcs together make a semicircle, each has measure 180°/3 = 60°.
Then the various arc measures are:
AB = 60°BC = 60°CD = 80° (given)DE = 100° . . . . . since CDE is 180°EA = 60°Then your answers are ...
a) AE = 60°
b) ∠ABD = (1/2)(DE +EA) = (1/2)(100° +60°) = 80°
c) ∠DFC = (1/2)(CD +EB) = (1/2)(80° + (60° +60°)) = 100°
d) ∠P = (1/2)(DA -AB) = (1/2)(100° +60° -60°) = 50°
e) ∠PAB = (1/2)(AB) = (1/2)(60°) = 30°
Solve each exponential equation by using properties of common logarithms. When necessary, round answers to the nearest hundredth. 7 ^3x-1 = 5 ^x-1
x ≈ 12.33
x ≈ -3.09
x ≈ 0.08
plss help mee
Final answer:
To solve the exponential equation 7^(3x-1) = 5^(x-1) using properties of common logarithms, we can take the natural logarithm (ln) of both sides. By expanding and isolating x, we can solve for x approximately as x ≈ 0.08.
Explanation:
To solve this exponential equation, you can take the natural logarithm of both sides. The natural logarithm (ln) cancels out the exponential function. So, taking the ln of both sides, we have:
ln(7^(3x-1)) = ln(5^(x-1))
Using the property of logarithms, we can bring down the exponents:
(3x-1)ln(7) = (x-1)ln(5)
Now, we can solve for x by isolating it. Let's expand the equation:
3xln(7) - ln(7) = xln(5) - ln(5)
Combining like terms:
3xln(7) - xln(5) = ln(7) - ln(5)
Factoring out x:
x(3ln(7) - ln(5)) = ln(7) - ln(5)
And finally, dividing:
x = (ln(7) - ln(5))/(3ln(7) - ln(5))
Using a calculator or a math software, we can approximate the value of x to the nearest hundredth to find:
x ≈ 0.08
A company makes concrete bricks shaped like rectangular prisms. Each brick is 15 inches long, 10 inches wide, and 5 inches tall. If they used 15000 in cubed of concrete, how many bricks did they make?
Answer:
20 bricks
Step-by-step explanation:
So if you multipy the dimentions given, you get 750 inches squred. You now take 15,000 and divide it by 750 to get 20. This is your answer.
A company makes 20 concrete bricks.
How many bricks did the company make?Given:
A company makes concrete bricks shaped like rectangular prisms.Each brick is 15 inches long, 10 inches wide, and5 inches tall.They used 15000 in cubed concrete.Find:
How many bricks did they make?Solution:
A company makes concrete bricks shaped like rectangular prisms.
So, the volume of the brick = 15*10*5 = 750[tex]inches^{3}[/tex]
Now, to find how many bricks they make we have to divide 750[tex]inches^{3}[/tex] from 15000.
Number of brick = 15000/750 = 20
Hence, the number of bricks that the company makes is 20.
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40 POINTS PLEASE HURRY
Pete grabbed 18 mixed nuts, 2/9 of which were almonds. Which equation shows how to determine the number of almonds Pete grabbed?
A.18 divided by 2/9 =81
B. 18 x 2/9 = 4
C. 2/9 divided by 18=1/81
D. 9/2 divided by 18=1/4
Answer:
B 18*2/9 =4
Step-by-step explanation:
To determine the number of mixed nuts that were almonds, take the number of nuts and multiply by the fraction that were almonds
nuts * 2/9= almonds
18 * 2/9
36/9
4
A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts. About 15.4% of the mixed nuts in a batch are pecans. If a batch contains 77 pounds of pecans, how many pounds of mixed nuts are in a batch altogether? Enter your answer in the box.
Answer:
500 lb
Step-by-step explanation:
You have to make a proportion:
[tex]\frac{part}{whole} = \frac{percent}{100}[/tex]
77 lb is part of the whole weight ( which we don't know) so 77 will go on top
The problem tells us that 15.4% of the total weight is pecans so 15.4 will go over 100 (since % are out of 100)
[tex]\frac{77}{x} = \frac{15.4}{100}[/tex]
Then you cross multiply giving you: 7700 = 15.4x
then you divide 15.4 to both sides to isolate x which will give you 500
Final answer:
To find the total weight of a batch of mixed nuts where pecans make up 15.4% and weigh 77 pounds, we set up a proportion and solve for the total weight, resulting in 500 pounds for the whole batch.
Explanation:
The question asks how many pounds of mixed nuts are in a batch altogether if 77 pounds are pecans, which represent 15.4% of the mix. To find the total weight, we need to set up a proportion where 15.4% corresponds to 77 pounds, and we want to find 100% (the whole mix).
We can set up the equation like so: 15.4 / 100 = 77 / x, where x stands for the total weight of the mixed nuts. To find x, we solve for x using algebra: x = 77 / (15.4 / 100). When you perform the calculation, the result is x = 500 pounds. So, the batch of mixed nuts weighs 500 pounds in total.
Solve the problem by writing an inequality. A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts. Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit at least $100. Show your work.
Kevin sold a house for $57,000 his fee or sales commission for selling the house was $2,679. What percent of the price of the price of the house was Kevin's commission
Answer:
4.7%
Step-by-step explanation:
Kevin's commission was 4.7% of the price of the house.
Calculate the percentage by dividing Kevin's commission by the selling price: $2,679 / $57,000 = 0.047.Multiply the result by 100 to get the percentage: 0.047 * 100 = 4.7%.What is the solution of the inequality x^2-9x+18 less then or equal to zero? Graph solution.
ANSWER
[tex]3\le x\le6[/tex]
EXPLANATION
The given inequality is
[tex] {x}^{2} - 9x + 18 \leqslant 0[/tex]
This is the same as
[tex](x - 3)(x - 6) \leqslant 0[/tex]
The corresponding equation is
[tex](x - 3)(x - 6)= 0[/tex]
By the zero product principle,
[tex]x = 3 \: or \: x = 6[/tex]
We now plot the boundaries and test for the region that satisfies the inequality.
See attachment.
From the graph the solution is
[tex]3\le x\le6[/tex]
If sin θ = 3 over 7 and tan θ < 0, what is the value of cos θ? negative square root of 10 negative 2 square root of 10 2 square root of 10 over 7 negative 2 square root of 10 over 7
Answer:
negative 2 square root of 10 over 7
Step-by-step explanation:
What is the area of a circle with a diameter of 12.6 in.?
Use 3.14 for pi and round your final answer to the nearest hundredth.
Enter your answer in the box.
Hey there! I'm happy to help!
To find the area of a circle, you square the radius and then multiply by pi (3.14 in our case).
The radius is half of the diameter.
12.6/2=6.3
We square this.
6.3²=39.69
We multiply by 3.14
39.69×3.14=124.6266
We round to the nearest hundredth, giving us an area of 124.63 in².
Now you can find the area of a circle! Have a wonderful day! :D
You can use formula for area of circle which simply is pi times square of radius. The radius is half of diameter.
The area of the given circle is 124.63 sq inches
Given that:A circle has diameter of 12.6 inches.To find:Area of circle using pi = 3.14 and approximated to nearest hundredth.
Formula for Area of circle with radius r units:[tex]\text{Area} = \pi \times r^2[/tex]
Finding radius:[tex]\text{Radius} = \dfrac{\text{diameter}}{2}\\ r = \dfrac{12.6}{2} = 6.3 \: \rm inch[/tex]
Finding the area:[tex]Area = \pi \times r^2 \approx 3.14 \times 6.3^2 \approx 124.626 \approx 124.63 \: \rm inch^2[/tex]
Thus, the area of the given circle is 124.63 sq inches
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86 which equals 90 and then you divide by two
Answer:
x = 53.1°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanx = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{8}{10}[/tex]
x = [tex]tan^{-1}[/tex] ( [tex]\frac{8}{10}[/tex] ) ≈ 53.1°
The area of the shaded triangles in the fractal shown form a geometric sequence. The area of the largest triangle (not shaded) is 1 square unit. Find the areas of these shaded triangles. Orange: 1/4 square units Blue: _____ square units Green: _____ square units
Answer:
Blue: 1/16 square units
Green: 1/64
yes
1/3
Step-by-step explanation:
The areas of these shaded triangles. Orange: 1/4 square units, Blue: 1/16 square units, Green: 1/64 square units
What is a fraction?A fraction represents a part of a whole number of equal parts.
The area of the largest triangle is given as 1 square unit.
The area of the triangle is colored and follows a geometric sequence with the common ratio of 1/4.
The area of the non-shaded triangle is given by 1 square unit.
The area of the orange triangle
1 × 1/4 = 1/4 square units.
The area of the blue triangle
1/4 × 1/4 = 1/16 square units.
The area of the green triangle
1/16 × 1/4 = 1/64 square units.
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Identify the measure of arc BG◠. HELP ASAP!! I'm so confused!
Answer:
arc BG = 14°
Step-by-step explanation:
∠BMG = [tex]\frac{1}{2}[/tex] ( arc BG + arc JS) = 30
Multiply both sides by 2
arc BG + arc JS = 60, that is
arc BG + 46° = 60° ( subtract 46° from both sides )
arc BG = 14°
Answer:
arc BG= 14°
Step-by-step explanation:
It is given in the figure that mJS = 46∘ and m∠BMG = 30∘.
If two chords intersect in the interior of a circle, then the measure of each angle formed is half the sum of the measures of its intercepted arcs. So,
m∠BMG = 12 (mJS +mBG)
Substitute the given values and solve for mBG.
30∘ = 12 (46∘ + mBG)
Multiply by 2.
60∘ = (46∘ + mBG)
Subtract 46∘.
14∘ = mBG
Therefore, mBG = 14∘.
will mark brainliest pleassse help someone
Pyramid A is a square pyramid with a base side length of 9 inches and a height of 10 inches. what is the volume
Check the picture below.
[tex]\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=&area~of\\ &its~base\\ h=&height\\ \cline{1-2} B=&\stackrel{9\times 9}{81}\\ h=&10 \end{cases}\implies V=\cfrac{1}{3}(81)(10)\implies V=270[/tex]
128 + 0 = ?
128 - 0 = ?
128 x 0 = ?
128 / 0 = ?
Answer:
1.=128 2.= 128 3.= 0 4.= 0
Step-by-step explanation:
Answer:
128 + 0 = 128
128 - 0 = 128
128 x 0 = 0
128 / 0 = 0
The function[tex]f(x)=-3x^{3} +x^{2} +2x[/tex] rises as x grows very small.
A. True
B. False
Answer:
True
Step-by-step explanation:
True.
Like the cubic term -3x^3 is negative, for small values of "x", the dependent variable "y" will rise. All this can be verified by looking at the graph.
(I've been trying to figure this out for 3 days and I really need help)
1. You are opening a snow cone stand. Your cups, which are shaped like a cone, are 4" tall and have a 6" diameter. How much room is there in the cone without a top on the snow cone? (filled to the brim only)
2. The top of your snow cone is a perfect semicircle. It goes all the way across the cone. How many cubic inches of ice in the top of the snow cone?
3. How many cubic inches of snow cone will you be serving?
4.You want to start selling 2 different sizes of cones. You want your new cone to be twice as big as your current cone (top included). You found a cone that has a 6" diameter and is 8" tall. How many cubic inches of snow cone will you have with the new cone?
Check the picture below.
since the diameter of the cone is 6", then its radius is half that or 3", so getting the volume of only the cone, not the top.
1)
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \implies V\approx 37.7[/tex]
2)
now, the top of it, as you notice in the picture, is a semicircle, whose radius is the same as the cone's, 3.
[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=3 \end{cases}\implies V=\cfrac{4\pi (3)^3}{3}\implies V=36\pi \\\\\\ \stackrel{\textit{half of that for a semisphere}}{V=18\pi }\implies V\approx 56.55[/tex]
3)
well, you'll be serving the cone and top combined, 12π + 18π = 30π or about 94.25 in³.
4)
pretty much the same thing, we get the volume of the cone and its top, add them up.
[tex]\bf \stackrel{\textit{cone's volume}}{\cfrac{\pi (3)^2(8)}{3}}~~~~+~~~~\stackrel{\stackrel{\textit{half a sphere}}{\textit{top's volume}}}{\cfrac{4\pi 3^3}{3}\div 2}\implies 24\pi +18\pi \implies 42\pi ~~\approx~~131.95~in^[/tex]
Which expression is equivalent to root 2/cubed root 2
Answer:
It's the second choice ⁶√2.
Step-by-step explanation:
Convert to fractional exponents:
√2 = 2^1/2
∛2 = 2^1/3
√2 / ∛2
= 2^1/2 / 2^1/3 = 2^(1/2-1/3)
= 2^(1/6)
Now change back to radicals:
= ⁶√2.
what value is needed to complete the square?
1. x^2-2x+___
2. x^2-6x+___
Answer:
1 and 9
Step-by-step explanation:
To complete the square
add ( half the coefficient of the x- term)²
1
x² + 2(- 1)x + (- 1)² = x² - 2x + 1 = (x - 1)²
2
x² + 2(- 3)x + (- 3)² = x² - 6x + 9 = (x - 3)²
To complete the square for the expressions x² - 2x + ___ and x² - 6x + ___, the required values are 1 and 9, respectively, because these are the squares of half the coefficients of the x terms.
To complete the square for a quadratic expression, we need to add a term that will turn the expression into a perfect square trinomial. For the general form x² + bx + c, the value needed to complete the square is (b/2)².
In the case of x² - 2x + ___, the value of b is -2. Therefore, you need to add (-2/2)² = (1)² = 1.
For the second expression, x² - 6x + ___, the value of b is -6. Here, you add (-6/2)² = (3)² = 9.
So, the values needed to complete the square are:
For x² - 2x + ___, the value is 1.
For x² - 6x + ___, the value is 9.
Matrix X is shown below.
If matrices X and Y are equal, what is the value of y12+y13+y32+y33?
7.5
27
40
49.5
Answer:
option C
40
Step-by-step explanation:
[tex]x_{nm}[/tex]
here n = number of row
m = number of column
so the labelled 3x3 matrix would be like this
[tex]y=\left[\begin{array}{ccc}y11&y12&y13\\y21&y22&y23\\y31&y32&y33\end{array}\right][/tex]
Given in the question matrixX since matrixY is eaxctly same as matrixX so,
[tex]y=\left[\begin{array}{ccc}1&6&-7\\-5&0&8.5\\-1&14&27\end{array}\right][/tex]
so
y12 = 6
+
y13 = -7
+
y32 = 14
+
y33 = 27
=
40
Answer:
The answer C, is right!
Step-by-step explanation:
Convert 135 degrees to radians.
Question 2 options:
2π/3radians
π radians
π/2radians
3π/4radians
ANSWER
[tex] \frac{3\pi}{4} \: radians[/tex]
EXPLANATION
To convert an angle from degrees measure to radians, we multiply by:
[tex] \frac{\pi}{180 \degree} [/tex]
We want to convert 135° to radians.
This implies that,
[tex]135 \degree = 135\degree \times \frac{\pi}{180 \degree} = \frac{3\pi}{4} \: radians[/tex]
The last option is correct.
(Economics) Real Gross Domestic Product is adjusted for _____ changes.
a. price
b. time
c. government
(will mark brainliest)
C.Government is the answer
Answer:A-Price
Step-by-step explanation:
Real Gross Domestic Product is adjusted for Price changes.
Unlike Nominal GDP Real GDP accounts for the change in prices and provides a better figure than nominal GDP. Real GDP differentiate GDP in different years more significant because it permits comparisons of the real volume of services and goods without taking inflation.
When Mario has to leave the house for a while, he tethers his mischievous puppy to the corner of a 12 ft-by-8 ft shed in the middle of his large backyard. The tether is 18 feet long. Which description fits the boundary of the locus of points in the yard that the puppy can reach?
A a three-quarter circle of radius 18 ft, quarter circles of radii 10 ft and 6 ft
B a three-quarter circle of radius 18 ft, quarter circles of radii 12 ft and 8 ft
C semicircles of radii 18 ft, 10 ft, and 6 ft
D semicircles of radii 18 ft, 12 ft, and 8 ft
Answer:
a three-quarter circle of radius 18 ft, quarter circles of radii 10 ft and 6 ft
Step-by-step explanation:
i took the test and i got this as the right answer
Answer:
A a three-quarter circle of radius 18 ft, quarter circles of radii 10 ft and 6 ft
Step-by-step explanation:
In order to calculate this, you have to remember that you have a tether that is 18 ft long, thetered to a point, this would make a circle with a radius of 18 ft, but as the center of the circle would be where the theter is knotted, the shed forbids to make a full circle, it rather creates a 3/4 circle, and the dog can acces the other points of the shed, with le length of the theter, that is 8 ft after the long side, and 12 feet after the short side, creating another quarter circle with a radius of 8 and 12 ft.