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a trapezoidal prism has a volume of 1260 cm^3. the height of the prism is 18 cm while the bases of the trapezoid are 12 cm and 8cm. Sketch the prism and find the height of the trapezoidal base

Answers

Answer 1

Answer:

7 cm

Step-by-step explanation:

Volume of the prism is the product of its base area and height

V = AHV = 1260 cm³H = 18 cm

Find base area:

A = 1260/18 = 70 cm²

Area of the trapezoid:

A = 1/2(b₁ + b₂)h

Substitute given values and solve for h:

70 = 1/2(12 + 8)h70 = 10hh = 70/10h = 7 cm
Answer 2

Find area of base

Volume/Height1260/1870cm²

Now

Height of trapezoid base be x

1/2(12+8)x=7020x=140x=7cm

Related Questions

(7x^3)(3x^7)
Multiply.
Your answer should be a monomial in standard form.

Answers

The answer would be 21x^10

Every year, the value of a car decreases by 15% of its value in the previous year. If the value of the car was $86,700 in 2012, find its value in 2010.

Answers

Answer:

$112,710

Step-by-step explanation:

so first we have to find what is 15% of 86700

so 15/100×86700=$13005

so it is written that 86700 is in 2012 means 2010 it will be

2 times more which means 30% that means just have to do is multiply it two times which makes it $26010

so $86700+$26010=$112710

hope it helps you

please mark me as brainlist

help me pls
which equation represents a line which is parallel to the line.
y=3x-8​

Answers

y-3x=7 because in order for lines to be parallel, they must have the same gradient, which is 3 in this question

What is the average of 4 1/2, 3 1/3, 2 , 2 1/6

Answers

Answer:

3

Step-by-step explanation:

To find the average add all these numbers together, then divide by how many numbers you have.

[tex]4\frac{1}{2} +3\frac{1}{3} +2+2\frac{1}{6} =12[/tex]

[tex]\frac{12}{4} =3[/tex]

[tex]Answer: 3[/tex]

Given that the random variable X = number of days a student sleeps in during the week, what is the correct notation for the probability that a student will sleep in at least 3 days?​

Answers

Answer:

X > 3/7

Step-by-step explanation:

X > 3/7

We know that the student sleeps in at least 3 days, but we don't know what the exact number is, we use an inequality where X is greater than or equal to 3 out of the 7 days.

X>3/7


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S
S
D
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Lee performed the best on stage because the other contestant were not as confident as (him, he)​

Answers

Answer:

him or he was

Step-by-step explanation:

select all the statements that are true about square EFGH.​

Answers

Answer:

sorry but theres no answer to that if we can't see the square :|

Step-by-step explanation:

Answer:

Step-by-step explanation:

Write a compound interest function to model each situation. Then find the balance after the given number of years.

$50,000 invested at a rate of 3% compounded monthly; 6 years

$43,000 invested at a rate of 5% compounded annually; 3 years

$65,000 invested at a rate of 6% compounded quarterly; 12 years​

Answers

Answer:

See explanation

Step-by-step explanation:

The standard compound interest formula is [tex]A = P(1+\frac{r}{n})^{nt}[/tex] where:

P is the principal amount

r is the interest rate (typically as a percentage)

t is the time

n is the times compounded per unit of time

So,

1)  [tex]A = 50000(1+\frac{0.03}{12})^{(12)(6)} =59847.42[/tex]

2) [tex]A = 43000(1+\frac{0.05}{1})^{(1)(3)} =49777.88[/tex]

3) [tex]A = 65000(1+\frac{0.06}{4})^{(4)(12)} =132826.08[/tex]

You should check my answers though, I may have mixed up some terms.

Determine whether enough information is given to prove that the triangles are congruent



1. Yes


2. No

Answers

The answer would be no

What is the perimeter of the composite figure?

Answers

Answer: 96 cm

Step-by-step explanation:

The perimeter is the combined sum of the sides.

So 18 + 22 + 3 + 8 + 6 + 15 = 72

To find the 2 missing sides we use the information we already have.

On the top, we can see 18 is overall the largest line from the missing side.

So we'll need to subtract something from 18.

15 - 8 = 7 ( Inferencing )

18 - 7 = 11 ( length of the top missing side )

22 - 9 = 13

11 + 13 + 72 = 96 cm

Answer:  The perimeter is 85 cm

Step-by-step explanation:

To find the perimeter you will need to add the distance around the shape.

But there seem to be one missing side .

To find that missing side we will have to add 3cm and 6 cm then subtract it from 22.

3 + 6 = 9

22 - 9 =  13

Now add the distance around the shape plus the 13.

22 + 15 + 6 + 8 + 13 + 3 + 18 =  85

List all the integers that satisfy

2< x < 6

Answers

Answer:

3,4,5

Step-by-step explanation:

Integers means whole number

< and > means that the integers can't be the same as the number before.

Hope that helps!!

2x²-3x-5 (Factor completely)

Answers

[tex]\tt{} {2x}^{2} - 3x - 5[/tex]

[tex]\tt{} {2x}^{2} + 2x - 5x - 5[/tex]

[tex]\tt{}2x \times (x +1 ) - 5(x + 1)[/tex]

[tex]\tt{}(x + 1) \times (2x - 5)[/tex]

(3.2 + 6.8)x - (36 divided by 4)x PLEASE HELPPP

Answers

Answer:

i dont no but what i got was 10x+144d^3 but do u want to sovle for x i got u X

Step-by-step explanation:

HELPPPP ASAPPP MARKING BRAINLIEST

Answers

Answer:

1) a

2) c

3) a

Step-by-step explanation:

1) Subsitute

2.14x - 42.9 = ?

2.14(22.4) - 42.9 = ?

47.936 - 42.9 = ?

= 5.036

2) Factor out

6y^2 + 27y

both have 3 and y in common so ...

3y(2y + 9)  

3) Distribute

12m(m - 3n)

12m * m = 12m^2

12m * -3n = -36mn     the only reason -3 is NOT a positive is b/c it has subtraction sign b4 the number

put it in order:

12m^2 - 36mn

help a sister out please!​

Answers

Answer:

it would be 8 because it is a parallelogram and they are parallel to each other

Step-by-step explanation:

CD=AB

26. The two triangles below are similar. What
is the perimeter of triangle XYZ?

Answers

Answer:

24

Step-by-step explanation:

6 ÷ 15 = 0.4

X to Y = 20 × 0.4 = 8

Y to Z = 25 × 0.4 = 10

Perimeter: a + b + c

6 + 8 + 10 = 24

Even I am surprised by what I wrote. Hopefully, it is right and helps you ^-^ Please comment if you have any questions.

-Tay did this

a farmer was on his tractor and drove by some chickens and pigs in his field he counted 30 heads and 84 legs

Answers

there would be 12 pigs and 18 chickens

12 x 4 = 48
18 x 2 = 36
36 + 48 = 84

please help best anwser gets brainly anwser the 2 question no work needed​

Answers

Answer: 16⁹ and False.

Step-by-step explanation:

Answer:

B ,false

Step-by-step explanation:

the cost to buy a sweater at sweaterfactory.com is 19 with free shipping i have 50 dollars creat an inequality to represent how many sweaters i can buy

Answers

Answer:

34

Step-by-step explanation:

my hair is so curly lol

Answers

That is very nice. The answer is c

Answer:

You're a beauty! (I'm a girl so don't take it personally) Your hair is really curly!

Step-by-step explanation:



In a secondary school there are 40 classes altogether.
8 of the classes are Year 7 classes.
What fraction of the classes in the school are Year 7?
Give your answer in its simplest form.

Answers

So it would be 8/40. And in its simplest terms would be 1/5

what is the answer of x²(x³)​

Answers

Answer:

[tex]x^{5}[/tex]

Step-by-step explanation:

When bases are same and are multiplied, their powers are added.

Do mark me as brainly. Thanks

-2.73 as a mixed number

Answers

Answer: -2 73/100

Explanation: keep the -2 and just look at the .73. The .73 is in the hundredths place so you put it over 100.

7.23 I think I do not know

What is the area of a triangle with a base of 24 inches and a height of 8 inches? Remember the formula to find the area of a triangle is 1/2bh (1/2 x b x h). Also, remember how to label your answer!

Answers

Answer:

96inches

Step-by-step explanation:

24*8=192

192/2=96

Kate is painting a ceramic paperweight shaped like a rectangular prism, as shown here. She wants to find the surface area of the paperweight so she can determine how much paint she needs.
The area of one of the bases is .
The area of each lateral rectangular face is .
The surface area of the paperweight is .

Answers

Answer:

area of one of the basses is 1.44 square feet

area of each lateral rectangular face is 0.96 square feet

SURFACE AREA OF THE PAPERWEIGHT IS 6.72 square feet.

Step-by-step explanation:

Answer:

The other person is 100% right! Give them brainliest :)

Step-by-step explanation:

pls help i really really need help on this. We just learned this but i can't remember it.
I'm really sleepy and wanna sleep. So i would appreciate your help.

:)

Answers

Answer:

114 cm²

Step-by-step explanation:

Area of shaded region

= area of circle -area of square

[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]

Given that radius= 10cm, r= 10cm.

[tex]\boxed{area \: of \: square = side \: \times side}[/tex]

Let the length of a side of the square be x cm.

Applying Pythagoras Theorem,

10² +10²= x²

100 +100= x²

x²= 200

[tex]x = \sqrt{200} [/tex]

Area of square

= x²

= 200cm²

Area of shaded region

= 3.14(10²) -200

= 3.14(100) -200

= 314 -200

= 114 cm²

2x + 3y = 23
-x+10y = 46

Answers

Answer:

x=4 y=5

Step-by-step explanation:

A function has cheating x's.
True
False

Answers

True
Hope this helps
Have a wonderful day or night

Maria and her friend go to a movie. At the snack stand, they each get a drink that costs $5 and a popcorn that costs $8. Maria pays for her friend. How much does Maria pay altogether?

Answers

Answer:

Step-by-step explanation:

opppppssss

Answer:

5 + 5= 10

8 + 8 = 16

10 + 16 = 26

if shes paying for everything maria pays 26 dollars

what number is larger 1/2 or 1/4 ?

Answers

Answer: 1/2
Explanation:

1/2 is 50
1/4 is 25

25<50

It is 1/2 because picture a hundred and a half of a hundred is 50 , and a fourth is 25. Therefore it is 1/2

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