Please help me!!! Zoom in on picture to read the other 2 questions. 1 questions if on 2 parts of the collage.
Ferris wheel is drawn on a coordinate plane so that the first car is located at the point (30,0). What are the coordinates of the first car after a rotation of 270° about the origin?
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Answer:
1. option A is correct i.e., [tex]\(90^{\circ}[/tex].
2. option B is correct.
3. the coordinates of the car after a rotation of [tex]\(270^{\circ}[/tex] is (0,-30).
Step-by-step explanation:
1. The angle of rotation is [tex]\(90^{\circ}[/tex].
To calculate the angle of rotation we can use a protractor and measure the angle between two corresponding angles, using point C as a center.
2. Given: ΔPRS with coordinates P(-3,2), R(2,5) and S(0,0) is rotated through an angle of 270°, the new image will be as follows;
The formula for rotation through 270° is: (x,y) → (y,-x)
hence our image will be at point:
P(-3,2)→P'(2,3)
R(2,5)→R'(5,-2)
S(0,0)→S'(0,0)
from the above, the approximate image will be option B.
3. Given: Ferris wheel is drawn on a coordinate plane at the point P(30,0). The coordinates of the car after a rotation of [tex]\(270^{\circ}[/tex] is (0,-30).
Because the formula for rotation through 270° is: (x,y) → (y,-x).
So, point P(30,0)→P'(0,-30).
Related Questions
A restaurant buys a freezer in the shape of a rectangular prism. The dimensions of the freezer are shown. What is the volume of the freezer?
Dimensions- 36 in, 24 1/2 in, 72 1/2 in.
Please explain clearly how you got your answer
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carl wants to buy a television that costs $500, including taxes. To pay for the television, he will use a payment plan that requires him to make a down payment of $125, and then pay $72.50 each month for 6 months. What is the percent increase from the original costs of the television to cost of the television using the payment plan?
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The percent increase from the original costs would be:
($560-$500) / $500 * 100%= 12%
Answer:
($560-$500) / $500 * 100%= 12%
Step-by-step explanation:
Hope it helps
Using the distributive property, which of the following expressions is equivalent to 5(3 + 5y)?
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Answer:
15+25y
Step-by-step explanation:
I did this test!
have a great day:D
Rectangle ABCD is congruent to rectangle A"B"C"D" .
Which sequence of transformations could have been used to transform rectangle ABCD to produce rectangle A"B"C"D" ?
A) Rectangle ABCD was reflected across the y-axis and then across the x-axis.
B) Rectangle ABCD was translated 8 units left and then 7 units down.
C) Rectangle ABCD was rotated 180° around the origin and then translated 7 units down.
D) Rectangle ABCD was translated 2 units left and then 3 units down.
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the best answer is
b
Answer:
B
Step-by-step explanation:
The verticals of a parallelogram are G(-8,3), R(-7,6),A(-3,6), and M(-4,3). Graph GRAM and G’R’A’M’, it’s image after a translation 13 units right and 2 units up
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The image of parallelogram GRAM, G'R'A'M', after a translation 13 units right and 2 units up is formed by the points G'(5, 5), R'(6, 8), A'(10, 8), and M'(9, 5).
To graph the parallelogram GRAM and its image G'R'A'M' after a translation 13 units right and 2 units up, follow these steps:
Plot the points G(-8,3), R(-7,6), A(-3,6), and M(-4,3) to form the parallelogram GRAM.
Calculate the new coordinates for G', R', A', and M' after the translation. You'll add 13 units to the x-coordinates (rightward) and 2 units to the y-coordinates (upward):
G'(-8 + 13, 3 + 2) = G'(5, 5)
R'(-7 + 13, 6 + 2) = R'(6, 8)
A'(-3 + 13, 6 + 2) = A'(10, 8)
M'(-4 + 13, 3 + 2) = M'(9, 5)
Plot the new points G'(5, 5), R'(6, 8), A'(10, 8), and M'(9, 5) to form the parallelogram G'R'A'M'. These points will be the image after the translation.
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Complete the number sentence to solve. Enter the answer in simplest form. Two students share 3 granola bars equally. How many granola bars does each student get?
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Which counterexample shows that the conjecture "All animals that can fly are birds" is false?
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So A is the logical choice and according to what Jimthompson5910 said "bats are one animal where they can fly but they aren't birds."
A teacher asked the class to solve the equation 3(times+2)= 21 Robert wrote 3 times + 6=21 as his first step. Which property did he use.
1. Associative property
2. Commutative property
3. Distributive Property
4. Zero property of addition
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A shooting gallery game awards the player 2 points for hitting a stationary duck-target, and 3 points for hitting a moving duck-target. Escobar hit ten targets, and scored 23 points. How many stationary targets did he hit? How many moving targets did he hit?
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3m + 2s = 23
substitute first equation into second equation:
3m + 2(10 - m) = 23
3m + 20 - 2m = 23
m = 3
using first equation:
s = 10 - 3 = 7
check using second equation:
3(3) + 2(7) = 23
9 + 14 = 23 checks
He hit 7 stationary and 3 moving targets.
Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.
A. Each pair of vertical angles is congruent.
B. Each pair of corresponding angles is congruent.
C. Each pair of supplementary angles is congruent.
D. Each pair of alternate interior angles is congruent.
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For c, if the pair of angles are supplementary and congruent, they can only be 90° because they are congruent ( meaning they are the same measurements) however this is not the case all the time
Hope this helps
A package of hot dogs cost $2 and a package of hamburger cost $8. You bought a total of 11 packages of meat and you spent $52. How many packages of hotdogs did you buy? Use a system to solve. 6 packages 4 packages 7 packages 5 packages
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To solve this, you have to write and solve a system of equations. Let B stand for hamburgers and H stand for hot dogs.
B + H = 11
8B + 2H = 52 If you multiply the top equation by -2, you can solve by eliminatoin.
-2B + -2H = -22
8B + 2H = 52 Add the equations
6B = 30
B = 5
If you bought 5 packages of hamburgers, then you bought 6 packages of hot doges. 11 - 5 = 6
Which point names the ordered pair (–5, –3)? A. Point A B. Point B C. Point C D. Point D
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May painted 4 out of 8 equal parts of a poster board blue Jared painted 2out of 4 equal parts of a same size poster dosed red write traction’s to show which part of the poster board each person painted
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The perimeter of a pentagon is 20t+7. Four sides have the following lengths: 6t, 2t, 4t-5, and 5t+1.What is the length of the fifth side?
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The length of the fifth side is -59/3 units.
How to calculate the length?The perimeter of a pentagon is the sum of the lengths of all five sides.
We know that the four sides have lengths of 6t, 2t, 4t-5, and 5t+1. Let's add these together:
6t + 2t + (4t-5) + (5t+1) = 17t - 4
We also know that the perimeter is equal to 20t+7. So we can set these two expressions equal to each other and solve for the fifth side:
17t - 4 = 20t + 7
Subtracting 17t from both sides, we get:
-4 = 3t + 7
Subtracting 7 from both sides, we get:
-11 = 3t
Dividing both sides by 3, we get:
-11/3 = t
Now that we know the value of t, we can find the length of the fifth side by substituting t back into one of the expressions for the sides. Let's use the expression for the third side, which is 4t-5:
4t - 5 = 4(-11/3) - 5 = -44/3 - 15/3 = -59/3
So the length of the fifth side is -59/3 units.
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A real estate agent spends $79.95 each month for cell phone service. About how much money does the agent spend for 48 months
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He would be spending $3,837.60
(Multiply 79.95 by 48)
A ramp has a rise of 10 feet and run of 50 feet find the slope
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The slope with the given rise and run is 1/5.
Given that, a ramp has a rise of 10 feet and a run of 50 feet.
We need to find the slope.
What is the slope?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of a line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.
Now, slope=rise/run
=10/50
=1/5
Therefore, the slope is 1/5.
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The length of a rectangle is 4 times its width. The area of the rectangle is 144 square inches. Find the dimensions of the rectangle
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4w*w=144
4w^2=144
w^2=38
w=6.16
l=4*6.16=24.63
(*there might be small rounding errors)
and they are both in inches
The width is 6 inches and the length is 24 inches.
To find the dimensions of the rectangle when given the area and the relationship between length and width, we will use algebra. Let the width be w inches. The length is 4 times the width, so the length is 4w inches. The area of the rectangle is w times the length (4w), which gives us w * 4w = 144 square inches. Simplifying, this equation becomes 4w^2 = 144 inches2. To find w, we divide both sides by 4, getting w^2 = 36. Taking the square root of 36 gives us w = 6 inches. Since the length is four times the width, the length is 24 inches. Therefore, the dimensions of the rectangle are 6 inches by 24 inches.
Henry is making a recipe for biscuits. A recipe calls for 5/10 kilogram flour and 9/100 kilogram sugar .
If Henry measures correctly and combines the two amounts , how much flour and sugar will we have
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Answer:
5/10 + 9/100 = (50 + 90)/100 = 140/100
= 1.4 kilograms
What expression is equivalent to the expression given below?
3/8 - 1/2y-5/6
:) 20 p0ints
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Answer:
[tex]-\frac{1}{2}y-\frac{11}{24}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8}\:-\:\frac{1}{2}y-\frac{5}{6}\\\\ =-\frac{1}{2}y+\frac{3}{8}-\frac{5}{6}\\\\ =-\frac{1}{2}y-\frac{11}{24}[/tex]
Hello!
Your answer is -1/2y - 11/24
What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you. 6 units × 4 units 8 units × 6 units 12 units × 8 units 18 units × 12 units
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Answer:
6 units
Step-by-step explanation:
shannon uses 30 inches of ribbon to make one bow how many feet of ribbon are needed to make 10 bows
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Since 30 inches of ribbon is used in one bow, to make 10 bows, we need multiply:
30 x 10 = 300
Now, we need to convert the inches to feet.
300 in = 25 ft
Our answer is 25 ft of ribbon.
Hope this helped!
See pic attached ... Urgent
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Answer:
3) y = -1 + (1/2)x
This is a linear function.
4) y = 1.7(4^x)
This is an exponential function.
The first step to solve the equation x/4 - 3/4 = 16 is shown below?
x/4 - 3/4 + 3/4 = 16 + 3/4
A.Addition Property of Equality
B.Subtraction Property of Equality
C.Multiplication Property of Equality
D.Division Property of Equality
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Answer:
The first step to solve the equation Addition Property of Equality.
Step-by-step explanation:
Given the equation
[tex]\frac{x}{4}-\frac{3}{4}=16[/tex]
we have to find the first step to solve the above equation.
To solve the above equation we have to combine the like terms here we have to combine the constant terms.
[tex]\frac{x}{4}-\frac{3}{4}=16[/tex]
[tex]\text{Therefore, to solve the equation we have to add }\frac{3}{4}\text{ on both sides}[/tex]
[tex]\frac{x}{4}-\frac{3}{4}+\frac{3}{4}=16+\frac{3}{4}[/tex]
[tex]\frac{x}{4}=\frac{67}{4}[/tex]
[tex]x=67[/tex]
Hence, the first step to solve the equation is the
Addition Property of Equality
What is the approximate volume of the cylinder use 3.14 for TT
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[tex]\pi {r}^{2} [/tex]
with r representing the radius. In this case
[tex]\pi \times {8}^{2} = [/tex]
[tex]64\pi[/tex]
To find the volume of the cylinder we have to multiply this outcome with the height.
[tex]64\pi \times 25 = [/tex]
[tex]64 \times 3.14 \times 25 = [/tex]
[tex]5024[/tex]
Hence, the volume of the cylinder is about 5024 cubic cm.
A circle flower garden has a radius of 4.5 feet. What is the circumference of the flower garden
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nelly bought a computer for $400. it was on sale for 20%. what was the original price?
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x*.8=400
divide .8 from both sides
x=500
In a bicycle store, $500 bicycle is marked get a "30% discount". What is the sale price of the bicycle?
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30% times 500 is 150
150 minus 500 is 350
The sale price of the bicycle in a store is $350.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The marked price of bicycle = $500
Discount percentage = 30% = 0.30
Now, discount price = 500(0.30)
⇒ $150
The sale price of the bicycle can be found as
Sale price = Marked price - discount price
⇒ Sale price = 500 - 150
⇒ Sale price = $350
Hence we can conclude that the sale price of the bicycle in a store is $350.
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the quotient of 300 and the quantity of x times 2
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Best Answer gets brainliest, measurement isn't my cup of tea in math.
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Which would you measure in kilograms?
a. the mass of a butterfly
b. the capacity of a bottle
c. the mass of a basketball
d. the length of a river
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Final answer:
Mass of a basketball is measured in kilograms.
Explanation:
Mass is a measure of the amount of matter an object contains, and in this case, the mass of a basketball would be measured in kilograms.
Kilograms are the appropriate unit for measuring mass as they are based on the SI unit of mass, which is the kilogram.