Find the volume of the composite solid.

Find The Volume Of The Composite Solid.

Answers

Answer 1

Answer:

156 ft³

Step-by-step explanation:

Volume of the composite solid = volume of the square prism + volume of the square pyramid

✔️Volume of rectangular prism = a²h

a = 6 ft

h = 3 ft

Volume = 6²*3 = 36*3

Volume = 108 ft³

✔️Volume of square pyramid = ⅓(a²*h)

a = 6 ft

h = 4 ft

Volume = ⅓(6²*4) = ⅓(36*4)

Volume = 48 ft³

✅Volume of the composite solid = 108 + 48 = 156 ft³


Related Questions

What is the area of the parallelogram shown below?

Answers

Answer:

135 units²

Step-by-step explanation:

height = √17²-8²=√289-64=√225=15

area = 9×15 = 135 units²

The answer is 135 units square

what is the gcf of 37 and 51

Answers

Answer:

1

Step-by-step explanation:

37 is prime

Answer:

1

Step-by-step explanation:

37 is prime so 1 is the only gcf

Daily Common
Core Review
15-2
pns.
5. Which is the greatest length: 2 miles,
4,112 yards, or 167,616 inches?

Answers

Answer:

4,112 yards

Step-by-step explanation:

because I said so

Which system has infinitely many solutions?

Answers

Answer:

D

Step-by-step explanation:

because both are x and y and they can be any number so no matter what the number is it will equal 4 and 2.

The answer is D

Step by step explanation

Juan bought a refrigerator at a special sale. The refrigerator regularly sold for $1,125.
No down payment was required. Juan has to pay $75 per month for 2 years.
What is the average amount Juan pays in interest each month?

Answers

Answer:

49.923%

Step-by-step explanation:

Good Luck :D

Evaluate.
9.2x10-^8
—————-
2.3x10^3

1.6.9 x 10^-11
2.4.0 x 10^-11
3.4.0 x 10^-5
4.6.9 x 10^-5

Answers

Step-by-step explanation:

[tex] \frac{9.2 \times {10}^{ - 8} }{2.3 \times {10}^{3} } \\ = 4.0 \times {10}^{ - 11} [/tex]

3 more until I can move on from this section, if anyone has the answer it would be greatly appreciated

Answers

Answer: y= |x-1|+3

Step-by-step explanation:

again lol used desmos graphing it’s 3 high so that +3 at the end and -1 to bring it to the side i’m bad at explaining

Cooper is taking a multiple choice test with a total of 80 points available. Each question is worth exactly 4 points. What would be Cooper's test score (out of 80) if he got 2 questions wrong? What would be his score if he got xx questions wrong?

Answers

Answer:

80-4(2)=72; 80-4(x) if he got x wrong.

I need help!!! ASAP!!!! !!!!!

Answers

Answer:

1.

Volume= 729cm^3

Height= 9cm^2

Area of Base= 81cm^2

2.

Volume=450m^3

Height= 3m^2

Area of Base=150m^2

3.

Volume= 480 cm^2

Area of base=75cm^2

Height= 8cm^2

4.

Volume =120in^3

Area of Base=20in^2

Height= 6in^2

Step-by-step explanation:

Volume = (length) Times (Width) Times (Height)

Area os base = (Length) Times (width)

Barb signed up for an art club. She had to pay $50 to sign up for the club and
$8 each week that she attended it. If she spent a total of $90, how many
weeks did she go to the club?

Answers

5 weeks she went to the club.

Two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels at 110 miles per hour while the other travels at 90 miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.

Answers

train A speed = 95 mph

train B speed = 105 mph

they are travelling towards each other

so effective speed = 200 mph.

distance = 360 miles

t= d/r

t=360/200

time = 1.8 hours they will meet

-3x + 6 - (-5) + 7x
Simplify it

Answers

3x+6-[-5]+7x

=3x+6+5+7x

= 3x+7x=6+5

=10x=11

=x=11/10

SO,

x=11/10

Answer:

4x+11

Step-by-step explanation:

-3x+7x +6+5

4x+11

Determine whether
the pairs of
segments a and b, c
and d are
proportional if their
lengths are:
a) a = 0.9 cm, b = 7.2
cm, c = 4.5 cm, d =
36 cm.


Please I need your help, this is for a test

Answers

Answer:

Grade 8 Worktext-Science Quarter 3

HELP FAST PLS

a right triangle has the legs length 3x meters and 4x meters and a hypotenuse of length 75 meters. find the lengths of the legs of the triangle

Answers

Step-by-step explanation:

I have included a drawing of the triangle.

we can use Pythagoreans theorem.

a^2+b^2=c^2

So,

(4x)^2+(3x)^2=75^2

16x^2+9x^2= 5,625

we can add like terms.

25x^2 = 5,625

25 25

x^2 = 225

Square root both sides.

x = 15

so, leg of 4x is

4(15)= 60 m

leg of 3x

3(15)= 45 m

Hope this helps!

How would you move the green shape exactly over the gray shape using the
fewest moves? Check only necessary moves.
A. Turn
B. Flip
C. Slide
E PREVIOUS

Answers

C. Slide it over to the gray
I would say slide Bc the turn and flip would do nothing

If I am wrong then sorry

A patio is made of two sections. One is shaped like a trapezoid, and the other like a semicircle. The bases of the trapezoid are 12 feet and 8 feet. The height of the trapezoid is 4 feet. The diameter of the semicircle is the same as the trapezoid's shorter base. Find the patio's area. Use 3.14 for pi.

Answers

Answer:

65.12 ft^2

Step-by-step explanation:

Patio's area = area of trapezoid + area of semicircle

Area of a trapezoid = 1/2  x (sum of the lengths of the parallel sides) x height

1/2 x ( 12 + 8) x 4 = 40 ft^2

Area of semicircle =  (1/2)πr²

r = 8/2 = 4ft

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(1/2) x 3.14 x 4^2 = 25.12 ft^2

Area of patio = 40 ft^2 +  25.12 ft^2  = 65.12 ft^2

t = 40

25.12

Sigmund picked a pair of socks out of his drawer without looking in the drawer. Sigmund has 3
pairs of black dress socks, 4 pairs of brown dress socks, 3 pairs of black sport socks, and 5
pairs of white sport socks. What is the probability that Sigmund will select a pair of black socks or a pair of sport socks?

Answers

Answer:

The chance of getting a pair of black socks is 73.33%

24 6 2 9 3=5 make it true

Answers

Answer:

24-6-9-2-3+2+2-3 = 5

Step-by-step explanation:

I hope this helps!

If a circle has a circumference of 43.96 units, what is the approximate area of the circle? (Use 3.14 as an
approximation of pi.)

Answers

Answer:

If we were to use 3.14 as pi . . .

43.96/3.14 = 14

14/2 = 7

7 x 7 = 49

49 x 3.14 = 153.86

153.86 would be the correct answer

But if we were to use pi. . .

615.1279985 would be the answer.

Answer:154 rounded to whole number

Step-by-step explanation:

C=pi ×d

43.96 = 3.14 ×d

d= 43.96÷3.14

d= 14

So radius is 7 (half of diameter)

Area=3.14×7×7

=153.86

Use the following diagram to find the sum of angle A and angle C.

A. 45 degrees
B. 90 degrees
C. 115 degrees
D. 180 degrees
E. 270 degrees​

Answers

Answer:

[tex]a + c = 180 - 65 = 115[/tex]

If two zeroes of the polynomial f(x)=x3−4x2−3x+12 are √3 and -√3 then find its third zero.

Answers

Answer:

Third zero is 4

Step-by-step explanation:

The polynomial is;

f(x) = x³ − 4x² − 3x + 12

We are given 2 zeros which are √3 and -√3.

This means that a factor of the polynomial will b; (x² - 3) because when it is equated to zero, x will be √3 and -√3.

Now, to get the other factor of the polynomial, we have to divide x³ − 4x² − 3x + 12 by (x² - 3) using long division method.

I have attached this long division method and we have the third factor as; (x - 4)

Equating to zero, we have x = 4 as the third zero of the polynomial

Two sides of a triangle are labeled as 7 units and 12 units. What is the range of
possible values for the third side?
F 2 < x < 17
G 7 < X < 12
H 5 < x < 17
J 5 < x < 19

Answers

I think answer should be the first option please give me brainlest let me know if it’s correct or not okay thanks bye

can someone help?

The perimeter of the triangle is 45cm.

Calculate the length of the hypotenuse.

Answers

I try it

Answer:

28.36

Step-by-step explanation:

Perimeter = 45

Perimeter = 2x + 3 + x + 6x + 1

2x + 3 + x + 6x + 1 = 45

9x + 4 = 45

9x = 45 - 4

9x = 41

X = 41/9

X = 4.56 or 4.6 (base on how may decimal places)

Hypotenuse

=6x + 1

= 6(4.56) +1

=38.36

Or

Hypotenuse

=6x +1

= 6(4.6) +1

=28.6

In AOPQ , the measure of angle Q=90^ , OQ = 33, PO = 65 , and QP = 56 What ratio represents the tangent of angle P ?

Answers

Ahhhhhhhhhhhhhhhhhjjhhhhhh

A lawn is in the shape of a regular pentagon. It is made from 5 pieces of turf that are congruent triangles. Each triangle has an area of 19 in.2. What is the area of the lawn?

Answers

Answer:

The answer is 95 in^2

Step-by-step explanation:

The lawn is made up of 5 congruent triangles.

Since we know the area of the triangles we can add or multiply them.

5 * 19 = 95 so the area is 95 in^2

Please help me with this

Answers

It’s c as the rest aren’t matching up with the other triangle

Since 20% or 1/5, is ___, there will be ___ word problems on the test

Answers

Answer:

10

10

Step-by-step explanation:

One fifth of fifty is 10.

Need help asapppo please

Answers

Answer:

Did you know that whales only use 10% of there sperm when mating the rest is wasted and a whale can have up to 400 L of sperm when mating

11/15 bc 11/15 in decimal is .73 repeating which is greater than .732 repeating

Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning.

Answers

Answer:

The triangles are not similar.

Step-by-step explanation:

Look at ratios of corresponding sides. If the triangles are similar, all the ratios will be equal.

Compare a side from [tex]\triangle{RTS}[/tex] with a side from [tex]\triangle{MQP}[/tex].

16/20 = 4/5

12/15 = 4/5  (looks promising, so far!)

20/26 = 10/13   Not at all the same as 4/5, so the triangles are not similar.

Someone pleaseeee answer

Answers

Answer:

A

Step-by-step explanation:

We cannot take the square root of a negative number without using complex numbers. Because of this, both 5x and x+3 must be non-negative in order for the product to be defined.

5x ≥ 0 implies that x ≥ 0x + 3 ≥ 0 implies that x ≥ -3

Both of these are satisfied if and only if x ≥ 0 (note that if x ≥ 0, then x is automatically greater than or equal to -3). Therefore, the correct answer is x ≥ 0.

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