Karin drew three right triangles. The hypotenuses of the triangles are listed below. Write the hypotenuse lengths in order from longest to shortest.
ABC=2.5, RST=sqrt2, XYZ=sqrt5
2.5,sqrt5,sqrt2
What is the slope of the line on the graph?
m=-7/8
Trystan purchased a cylindrical vase, shown below, to go with a dozen roses he ordered at the flower shop. Write an expression that can be used to estimate B, the area of the base of the cylindrical vase. Use 3.14 for pi. Note:
V=Bh
B=(3.14)*2^2
A company prints and mails photographs uploaded to their website. They charge 19 cents for each print and $3.50 for shipping and handling. The website used the following equation to invoice the customer, where c is the total cost of an order and p is the number of prints in the order. If Bailey orders 48 prints, what amount will the website put on her invoice.
C=0.19p+3.50
$12.62
Triangle JKL is to be translated 2 units right and 3 units down to form triangle J'K'L'. What effect will the transformation have on each point on the triangle?
(x,y)->(x+2,y-3)
It is estimated that there are about 16,300,000,000 neuron in the cerebral cortex, the part of the human brain where our conscious thinking happens. Write the expression that represents this estimate in scientific notation.
1.63*10^10
Eli is playing golf. He is 17 meters away from the ninth hole. He hits the ball, and it lands 8 meters away from the hole, as shown in the diagram below. What is the length of the missing side?
15m
A hot dog stand sells an average of 30 hot dogs per hour on a busy day. If the stand starts with 1,000 cardboard holders at opening and uses one holder per hot dog, which table represents the relationship between h, the hours open, and c the cardboard holders, remaining at the hot dog stand?
C
Margaret drew a circle with a diameter that is 1/3 that of circle G. How does the area of the new circle compare to that of circle G.
1/9 of the area of circle G
Ari adds 16 ounces of chocolate chips to a batch of cookie dough that makes 26 cookies. if the number of chips in each cookie is approximately the same, write an equation that could be used to find c, the number of ounces of chocolate chips in 4 cookies.
C=4(16/36)
Triangle ABC is to be reflected over the x-axis to form triangle A'B'C'. What effect will the transformation have on each point on the triangle?
(x,y)->(x,-y)
What is the solution to the system of equations in the graph below. Write as a coordinate.
(-4,-2)
Caleb is standing 10.5 feet from his school building, and the school building is 12.3 feet tall. What is approximate distance between W, the point on the ground where Caleb is standing, and X, the top of the school building? Round answer to TENTHS place.
16.2 ft
Which of the following are graphs of functions?
Graph S, U, and V only
The total surface area of a cylinder is 786 cubic centimeters. The area of each of the cylinders bases is 48 square centimeters. What is the cylinders lateral surface area?
690 cm^2
Kara and Michelle made the same amount of money one day. Each earned a base pay plus a certain amount per hour. Which of the following situations could you model using the equation
5.60+4.20x=5.10x+6.20
G
Triangle EFG is to be dilated using a scale factor of 8/9 to produce triangle E'F'G'. The origin will be the center of dilation. Write the coordinate transformation.
(x,y)->(8/9x,8/9y)
Josh is designing a house. He wants the master bedroom to be a square with an area of 150 square feet. Which number line indicates the approximate length of each bedroom wall?
Which set of coordinates could you use to draw the vertices of a right triangle with a hypotenuse having the same slope as LM, the hypotenuse of the triangle on the graph below?
(-6,6),(2,0),(-6,0)
Teri works at a bakery. She decorates 18 cookies in 27 minutes. Which of the following expresses the same rate of decorating cookies?
J: 24 cookies in 26 minutes.
A spherical exercise ball has a diameter of 2 feet. What is the volume of the ball? Use 3 for pi.
4 ft^3
The graph compares the number of customers at a frozen yogurt shop to the temperature on various days. They yogurt shop manager check the forecast and sees that tomorrow's expected temperature is 87. If they drew a trend line on the graph, how many customers would they most likely predict will visit the yogurt shop tomorrow?
Between 150-175 customers
Square C represented on the coordinate grid below is to be rotated 270 degrees clockwise about the origin. What effect will the transformation have on each point? on the square?
(x,y)->(-y,x)
Nathan designs two triangular flowerbeds for his yard. The diagram below represents his designs. What must the value of x be in order for the perimeter of each flowerbed to be the same?
X=3.3
Find the perimeter of a right triangle that has a leg of 11 inches and a hypotenuse of 61 inches.
P=132
Which of the following represents a linear relationship between x and y?
The are of each shaded base of the triangular prism is 17.3 square centimeters. What is the total surface area of the prism.
237.3 cm^2
Dale wants to borrow $8,500 to buy a car. The First Savings Bank offers him a 3-year loan with equal monthly payments of $249.82. The Star Security Bank offers him a 4-year loan with equal monthly payments of $190.78. How much more in total interest will the 4-year loan cost him?
$163.92
Vincent drew a rectangle on a coordinate grid. How could he transform the rectangle to produce an image that is NOT congruent to the original image?
H: Dilate it by a scale factor of 5
Catarina counted the number of cars in a parking lot at 3 PM each day for one week. The table shows her results. What is the mean absolute deviation for her data set, rounded to the nearest tenth.
MAD=12.1