Answer:
A)The angles in the smaller prism measure 90 degrees.
B)The perimeter of the rectangular bases changes by a factor of 2.
E)The area of the rectangular bases changes by a factor of 4.
Step-by-step explanation:
The right rectangular prisms are similar.
Which statements are correct? Check all that apply.
A)The angles in the smaller prism measure 90 degrees.
B)The perimeter of the rectangular bases changes by a factor of 2.
C)The surface area changes by a factor of 8.
D)The larger prism has twice the volume of the smaller prism.
E)The area of the rectangular bases changes by a factor of 4.
Solution:
Two polygons are said to be similar if they have the same shape, the ratio of their sides are in the same proportion and they have the same size of angles.
A) Since the bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.
Option A is correct.
B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6
Perimeter of smaller prism base = 2(1.1 + 0.4) = 3
The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).
Option B is correct.
C) Surface area of bigger prism = 2(3.2*0.8 + 2.2*0.8 + 3.2*2.2) = 22.72
Surface area of smaller prism = 2(1.6*0.4 + 1.1*0.4 + 1.6*1.1) = 5.68
The surface area does not change by a factor of 8 (22.72 / 5.68 ≠ 8)
Option C is wrong
D) Volume of bigger prism = 2.2 * 3.2 * 0.8 = 5.632
Volume of smaller prism = 1.1 * 1.6 * 0.4 = 0.704
The larger prism volume is not twice of the smaller prism
Option D is wrong
E) Area of bigger prism base = 2.2*0.8 = 1.76
Area of smaller prism base = 2.2*0.8 = 0.44
The area of the rectangular bases changes by a factor of 4 (1.76 / 0.44 = 4)
Find the sum of the zeros in the following equation:
Y=(2x – 1) (x + 4) (2x– 3) (x– 1)
Find the missing side length in the following Pythagorean Triple:
7 - ? - 25
Need help fast!!!
Use the number line to compare the numbers.
Drag and drop the numbers to place them in increasing order.
Answer:
the sequence of numbers starting left to right is: -2 -1.6 -1 -1/6 0 3/7 0.6 1 2
Step-by-step explanation:
Answer:
Ok so -1.6 goes in between -2 and -1. Then -1/6 goes in between -1 and 0. Then 0.6 goes between 0 and 1. And last 3/7 goes between 1 and 2.
Step-by-step explanation:
hope this helps you :)
i will need the answer for this
Answer:
Hello! r would equal 0.4. To do this, first subtract 4 from both sides. So (10r+4-4=8-4). You are then left with 10r=4. So then you divide both sides by 10. 10r/10=4/10. So you are left with 0.4. r=0.4
Step-by-step explanation:
Find the first four terms of the sequence, an = 4 − 2n
Answer:
2, 0, -2, -4
Step-by-step explanation:
an = 4 − 2n
a1 = 4 - 2(1) = 2
a2 = 4 - 2(2) = 0
a3 = 4 - 2(3) = -2
a4 = 4 - 2(4) = -4
Answer:
(2, 0, -2, -4)
Step-by-step explanation:
a(1) = 4 - 2(1)
= 4 - 2
= 2
a(2) = 4 - 2(2)
= 4 - 4
= 0
a(3) = 4 - 2(3)
= 4 - 6
= -2
a(4) = 4 - 4(4)
= 4 - 8
= -4
Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.
Answer:
25 minutes
Step-by-step explanation:
let x represent total time when both containers to have the same amount of water.
the equation to represent container A = 200 + 6x
the equation to represent container B = 500 - 6x
Because both containers would have the same amount of water, the two equations would be equal to each other
200 + 6x = 500 - 6x
collect like terms
12x = 300
x = 300/12
x = 25 minutes
Vienna bought 8 yards of fabric and paid $35.60. How many more
yards can she purchase with $20?
(The paper this is one is due tmr. Help)
Answer:
4.49 more yards
Step-by-step explanation:
Given data
If 8 yards of fabric cost $35.60
then let x yards cost $20
cross multiply
35.60*x= 20*8
35.60*x= 160
x= 160/35.60
x= $4.49
Hence the $20 will purchase 4.49 more yards
jodi's car used 12 gallons of gas to travel 456 miles. How many miles did her car travel per gallon of gas?.
Answer:
38 miles
Step-by-step explanation:
456 ÷ 12 = 38
give me brainllest
What does r equal A B C or D
Answer:
b i think
Step-by-step explanation:
Your soccer team is holding a silent auction dinner as a fundraiser to pay for school uniforms. The list shows all the expenses for the silent auction.
A tablet that costs $350
Football tickets that cost $150
A gift card that cost $125
The cost of the food is $500
The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 45 tickets will pay for the cost of the prizes and food.
Build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build this function.
Answer:69
Step-by-step explanation:
A) $16
B) p(x) = 16x -800
C) 69 ticketsn:
A) The total of expenses is ...
$280 +100 +20 +400 = $800
If this is covered by 50 tickets, then a ticket must provide revenue of ...
$800/50 = $16
The cost per ticket is $16.
__
B) The profit is the difference between revenue and expenses. The revenue from sale of x tickets will be 16x. The expenses are fixed at 800, so the profit is ...
p(x) = 16x -800
__
C) We can find the number of tickets to sell (x) in order for profit to be at least $300 by solving the inequality ...
p(x) ≥ 300
16x -800 ≥ 300 . . . . . use the expression for p(x)
16x ≥ 1100 . . . . . . . . . add 800
x ≥ 68.75 . . . . . . . . . . divide by 16 . . . (the least satisfactory integer is 69)
In order to raise at least $300, the number of tickets sold must be at least 69.
Type the correct answer in each box. Use numerals instead of words. If necessary, useType the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Jane arranges m chairs in each of n rows to seat x people. The formula to find the number of chairs in each row is m = . If 60 people attend the meeting and each row has 4 chairs, there are rows. / for the fraction bar(s). Jane arranges m chairs in each of n rows to seat x people. The formula to find the number of chairs in each row is m = . If 60 people attend the meeting and each row has 4 chairs, there are rows.
Answer:
m = x / n
n = 15
Step-by-step explanation:
Number of chairs per row = m
Number of rows = n
Number of people = x
Number of chairs per row, m = number of people, x / Number of rows, n
m = x / n
If number of attendees, x = 60 ;
Number of chairs per row, m = 4
The number of rows, n = number of attendees / number of chairs per row, m
Hence, n = 60 / 4 = 15 rows
Three friends ordered personal-sized pizzas for lunch. Lucia ate 2/3 of her pizza, Allie ate 1/4 of her pizza, and Carolina ate 2/5 of her pizza. Which statement correctly compares the amount of pizza that the friends ate?
Answer:
They have atleast two or one left
Jada earns $7 per hour mowing her neighbors’ lawns. Identify the independent variable in this situation, and write the letter that you would like to use to represent it.
And Identify the dependent variable and write the letter that you would like to use to represent it.
What number must you add to complete the square?
X2 + 12x = 40
x2
o
A. 36
B. 20
(
C. 6
O
O
D. 5
х
Answer:
36
Step-by-step explanation:
x^2 + 12 x = 40
To complete the square, take the coefficient of the x term
12
Divide by 2
12/2 = 6
Square it
6^2 = 36
Add 36 to each side
I need help no links 20 points
Answer:
t x 1/8 = n 1/8 = 0.125 in decimal form!!
Step-by-step explanation:
There are 30 students in a class. Which equations represent the situation if the number of boys
is b and the number of girls is 7? Select all that apply.
A. b x 30 = 7
B.b = 30- 7
C. b = 30 + 7
D. b +7 =30
E. b x 7 =30
Step-by-step explanation:
A. b x 30 = 7E. b x 7 =30C. b = 30 + 7
Which is the number name for 32.611? thirty-two and ciy bundrom
Answer:
Winnipeg.
Step-by-step explanation:
8.88 = 4.44(x-7)
Solve for x
Show or explain your method
Answer:
x=9
Step-by-step explanation:
8.88=4.44x-31.088.88-4.44x=-31.08-4.44x=-31.08-8.88-4.44x=-39.96x=9(we divided both rquations by -4.44)Analia is a school district manager. Here are some details about two schools in her district for the last school year:
School A School B
Number of students 300030003000 400040004000
Number of teachers 190190190 380380380
Graduation rate 86\%86%86, percent 90\%90%90, percent
Budget per student \$10{,}500$10,500dollar sign, 10, comma, 500 \$10{,}000$10,000dollar sign, 10, comma, 000
% of students in sports club 62\%62%62, percent 68\%68%68, percent
Number of sports medals won 999 777
SAT average 120012001200 105010501050
SAT range (max-min) 900900900 700700700
Analia wants to know which school has the lower SAT range relative to the resources invested per student (lower, as SAT range is a measure of inequality, which we want to minimize as much as possible).
1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.
12.
Find whether p = 2 and p=3 are solutions for the equation
7 (p+2)=5 (p+4) ? Justify?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
7(p+2)=5(p+4)
By distributive law
The eqn becomes :
7p + 14 = 5p + 20
collecting like terms ;
7p - 5p = 20 - 14
=> 2p = 6 and
:- P = 3 ( dividing both sides by 2)
P= 3 is the only solution to the equation above and it satisfies the equation.
1. Find the area of the parallelogram.
What is the area?
Answer:
67.5[tex]in^{2}[/tex]Step-by-step explanation:
Area of a parallelogram is base x height
The base of the given parallelogram is 9 inches and the height is 7.5 inches
So, its area would be
9 x 7.5
Area equals [tex]67.5^{2}[/tex]
Find x.
Do not round your answer.
12 cm
6 cm
Answer: 16.6
Step-by-step explanation:
b(a+b)= d(c+d)
6(12+6)=5(x+5)
6(18)=5x+25
108=5x=25
-25
83=5x
divided by 5
Equals 16.6
David has $520 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $303.93.
• He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $73.43 each.
Write and solve an inequality which can be used to determine x, the number of
outfits David can purchase while staying within his budget.
Step-by-step explanation:
after he buys everything he has 170.83 ( total 340.17) 73.43 times x
WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!
WHAT IS THE AMPLITUDE OF THIS FUNCTION
your answer should be three.
~iwa-chan
What is the probability of flipping a coin 7 times and getting heads 5 times? Round your answer to the nearest tenth of a percent.
2 * blank equals 6.5
Answer:
3.25 or 3 and 1/4
Step-by-step explanation:
The algebraic equation is 2x = 6.5.
Divide by 2 to get your answer.
6.5 divided by two is 3.25.
x = 3.25
Answer:
3.25
Step-by-step explanation:
just take away the 25 and multiply it that way
Plz give me brainllest
Rosa earned a total of $34 by selling 17 cups of lemonade. How many cups of lemonade does Rosa need to sell in all to earn $46? Assume the relationship is directly proportional.
Answer:
23
Step-by-step explanation:
Because 2 dollar each cup. so 2 times 23 is $46. 5 star if this help thanks:)
The coordinate plane shown below shows the locations of the library and park in the town where Rasheed lives.
Which expression represents the distance from the library to the park as modeled on the coordinate grid?
A. 5 + 3
B. 5 + -3
C. 5 - -3
D. -5 - -3
3 feet
1 foot
2 feet
A package is shaped like a right rectangular prism. Use the dimensions shown to find the surface area of this package.
A)6 square feet
B)12 square feet
C)20 square feet
D)22 square feet
Answer:
The surface area is 22 square feet
Step-by-step explanation:
For a right rectangular prism, we have the formula for the area as;
A = 2(lb + lh + bh)
Accordingly, we have l as the length, b as the breadth and h as the height
Using the given dimensions, we have
A = 2(3(1) + 3(2) + 1(2))
A = 2(3 + 6 + 2)
A = 2(11) = 22 square feet
(2N/6N+4) (3N+2/3N-2