A module house is made by sticking a triangular prism on top of a rectangular block, as shown in the diagram.
Answers
Answer:
d
Step-by-step explanation:
The volume of the triangular prism.
= Base area x length of the prism
The volume of the rectangular block.
= Length x width x height
The volume of the model house is 1260 cubic feet.
Option A is the correct answer.
What is a rectangle?
A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Module house:
Triangular prism on top and a rectangular block.
The volume of the triangular prism.
= Base area x length of the prism
= (1/2 x 12 x 4) x 15
= 24 x 15
= 360 cubic feet
The volume of the rectangular block.
= Length x width x height
= 12 x 15 x 5
= 900 cubic feet
The volume of the block house.
= Volume of the triangular prism + Volume of the rectangular block
= 360 + 900
= 1260 cubic feet
Thus,
The volume of the model house is 1260 cubic feet.
Option A is the correct answer.
Learn more about rectangles here:
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Related Questions
In triangle ABC, the measure of angle ABC is 51°
and ACB is a right angle. What is the measure of
angle BAC in degrees?
Answers
Answer:
39 degrees
Step-by-step explanation:
The sum of angle in the triangle ABC is a80 degrees
m<ACB + <BAC + <ABC =1 80
90 + <BAC + 51 = 180
141 + m<BAC = 180
m<BAC = 180-141
m<BAC = 39 degrees
Hence the measure of m<BAC is 39 degrees
What number will each of these pairs of tiles equal ? (Pls answer :c)
Answers
You are subtracting each value by itself so there would be nothing left. If it were addition then that would be different
Carolyn borrowed $38,500 to pay
for college. If the interest rate is
3.2%, how much total will she
have paid after 10 years?
Answers
Answer:
$50820
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3.2%/100 = 0.032 per year,
then, solving our equation
I = 38500 × 0.032 × 10 = 12320
I = $ 12,320.00
The simple interest accumulated
on a principal of $ 38,500.00
at a rate of 3.2% per year
for 10 years is $ 12,320.00.
What is the value of X in rectangle DEFH
A. 10
B. 8
C. 15
D. 29
Answers
Answer:
B
Step-by-step explanation:
3x + 5 = 29
3x = 24
x = 8
Mr. Tyler buys 4 round-trip tickets from Ft. Lauderdale, Florida, to Toronto, Canada. The total cost is $2,156. How much does each ticket cost? Enter the correct answer in the box
Answers
Answer: $539
Step-by-step explanation:
From the question, we are informed that Mr Tyler bought 4 round-trip tickets from Florida to Canada and that the total cost is $2,156.
The cost of each ticket will then be:
= Total cost of the tickets / Number of tickets
= $2156 / 4
= $539
Therefore, each ticket cost $539
This graph shows the relationship between x, the number of hours Mr. David
works, and y, the number of dollars he ears.
Mr. David's Earnings
A. Based on the graph, is the relationship between x and y proportional?
Explain your reasoning
B. What does the point (3,90) represent in the context of this situation?
C. Based on the graph, how many dollars will Mr. David earn if he works
10 hours? Show or explain how you got your answer.
D. Write an equation that could be used to find y, the number of dollars
Mr. David earns for working x hours.
Answers
Answer:
A. Proportional by $30
B. 3 represents the hours he works
90 represents the money he earned
C. $300
D. I don know, sorry
Step-by-step explanation:
The relationship is linear, the point (3, 90) represents in 3 hours he earns 90 dollars, in 10 hours, he earns 300 dollars, and the linear equation is y = 30x.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
This graph shows the relationship between x, the number of hours Mr. David works, and y, the number of dollars he earns.
A. Based on the graph, the relationship between x and y proportional is a linear relationship.
B. The point (3,90) represents in 3 hours he earns 90 dollars.
D. The linear equation will be
[tex]\begin{aligned} \rm y - 30 &= \rm \dfrac{90-30}{3-1} (x - 1)\\\\\rm y - 30 &= \rm 30x - 30\\\\\rm y &= \rm 30x \end{aligned}[/tex]
C. Based on the graph, the amount of money in dollars will Mr. David earn if he works 10 hours will be
y = 30x
y = 30 × 10
y = $300
More about the linear system link is given below.
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simplifie A=2 X x + y x 5 + z x z
Answers
Answer:
2x + 5y +z²
Step-by-step explanation:
you multiply 2 and x then y and five and z and z
If the input is o, what is the output?
Answers
Answer:
1
i guess...
Step-by-step explanation:
Michael writes down 4 different factors of 60
He adds the 4 factors together.
He gets a number greater than 20 but less than 35
What 4 factors could Michael have written down?
Input note: write them from smallest to biggest, separated with commas, i.e. 1, 2, 3, 4
Answers
Answer:
34+(-12) =22
Step-by-step explanation:
because they said that adding numbers but they didn't said that negative Or positive. so i took those numbers
simple question struggling abit :)
Answers
what is -2+9 (8) (1/2)
Answers
Answer:
28
Step-by-step explanation:
-2+9 (4)=7(4)=28
In the figure, AB || CD. If m<1=70° and m<2 = 45°, find the m<3
Answers
Answer:65 degrees
Step-by-step explanation: a triangle has 180 degrees.
one angle is 45 degrees and the other is 70
if we add them together we get 115
180-115 is 65
m3 is 65 degrees
123 students each gave 2 cupid to each student in school there's 6 council how many cupid did they evenly make for the 123 student
Answers
Answer:
each made 20.5
Step-by-step explanation:
123/6 = 20.5
PLS HELP I WILL GIVE BRAINLIEST
Answers
12 x 5 = 60
3 x 4 = 12
60 x 12 = 720
720 = Area
Please answer please I’ll give you brainless. It’s important. Please
Answers
I believe it is BCA
Step-by-step explanation
Where were MOST of France's colonies located in Africa?
A in the west
B. in the south
C. in the northeast
D. in the northwest
Answers
What is the percentage population increase if in 2001 it is 430000 and in 2011 it is 510000
Answers
Answer:
18.6%
Step-by-step explanation:
What is the percentage population increase if in 2001 it is 430000 and in 2011 it is 510000
Percentage increase is calculated as:
Final value - Initial value/ Initial value × 100
Final value = 510000
Initial value = 430000
Percentage Increase =
510000 - 430000/430000 × 100
= 80000 / 430000 × 100
= 0.1860465116 × 100
= 18.604651163 %
Approximately = 18.6 %
What is the value for x and for y?
Answers
Answer:
20+7x=90
x=10
50+2y=90
y=20
X=10
Y=20
Because a straight line is 180. So 180-20=160 from there you see that one of the angles is a right angle, you can tell this by that it has that little cube in the middle. So 160-90=70 that means that 7x=70 bit you are trying to find for x so divid 70 by 7 that equals 10.
Now to solve for why you have to plug in the information you already know. Vertical angles are congruent. That means that the that the 20 goes straight across and 7x with is actually 70 goes straight across. Now you already know the angle in the middle is 90 but this this it’s split. Since x is 10 multiply 5 by 10 then you get 50 now 90-50=40. 2y is 40 divide it by 2 to get y=20.
I’m bad at explaining so I hope I didn’t confuse you.
Which of the binomials below is a factor of this trinomial?
x^2-7x-44
Answers
Answer:
Two factors:
(x + 4) and (x - 11)
Step-by-step explanation:
Did not see list of possible binomials
Please guys please, I need help ASAP, giving brainleist!
Answers
Answer:
Step-by-step explanation:
a 2m+5=13
2m=8
m=4
b 3m/5=-6
3m=-30
m=-10
c 4-5x=19
-5x=15
x=-3
d x/4-10=2
x=48
e -24=8(h+3)
-24=8h+24
-48=8h
h=-6
f -3+d/2=9
-3+d=18
d=21
hope this helps!
(attached image in the file below)
shen buys candy that costs $4 per pound he will spend at least $20 on candy what are the possible numbers of pounds he will buy
Answers
HELP ASAP WHICH OF TJE FOLLOWING IS THE SOLUTION OF THE EQUATION??( I picked a random answer)
Answers
Answer:
A
Step-by-step explanation:
i need to know the answer to these two questions up at the top please
Answers
Answer:
x = 3
x = 4.5
Step-by-step explanation:
A) 2(5x - 3) = 24
5x - 3 = 12 (divide both sides by 2)
5x = 15 (add 3 to both sides)
x = 3 (divide both sides by 5)
B) 5(2x + 1) = 50
2x + 1 = 10 (divide both sides by 5)
2x = 9 (take 1 away from both sides)
x = 4.5 (divide each side by 2)
What is the approximate volume of the cone?
Use 3.14 for π.
57 cm³
339 cm³
509 cm³
1526 cm³
Outline of cone with a dotted line rising from middle of base to the point. Line is labeled 6 cm. A second dotted line extends horizontally from middle of base to its edge. Line is labeled 9 cm.
Answers
Answer:
D is the answer most likely your answer
Step-by-step explanation:
3.14x81x6=1526.04 which rounding would be 1526cm^3
chris is going on holiday to the united states of america the exchange rate is £1=$1.55 chris has £720 spending money how much does he have in dollars
Answers
Answer:
$1116
Step-by-step explanation:
Given data
We are told that the exchange rate is
£1=$1.55
if chris has £720
then £1 is the same as $1.55
£720 will be x
cross multiply
x= 720*1.55
x= $1116
Solve the inequality 13 > 3x + 1
Answers
step by step explanation:
13 > 3x + 1
-1 -1
12 > 3x
/3 /3
4 > x
I hope it helps you ❤️❤️❤️
What is 3/4 - 1/3 ??
Answers
Answer:
5/12
Step-by-step explanation: I used a calculator
what can 980 be divided by
Answers
Step-by-step explanation:
there are so many numbers that can be divided into 980 like 2,3,4,5 etc....
Betty has 25 baseball cards and 10 basketball cards in her sports card collection what is the ratio of baseball cards to basketball cards
Answers
Answer:
25:10
Step-by-step explanation:
Plz give brainliest I wanna level up
Answer: 5:2
Step-by-step explanation:
Select three ratios that are equivalent to 5:2.
Choose 3 answers:
A: 2 : 5
B: 10:4
C: 20:50
D: 35:14
E: 55 : 22
Answers
35:14
55:22
10:4 divided by 2:2=5:2
35:14 divided by 7:7= 5:2
55:22 divided by 11:11= 5:2