Find the volume of the composite solid.

Find The Volume Of The Composite Solid.

Answers

Answer 1

Here's the solution,

the volume of the given figure is :

=》

[tex]volume \: \: of \: \: (pyramid \: + rectangular \: \: prism)[/tex]

volume of pyramid :

=》

[tex] \dfrac{l \times b \times h}{3} [/tex]

=》

[tex] \dfrac{4 \times 5 \times 6}{3} [/tex]

=》

[tex] \dfrac{120}{3} [/tex]

=》

[tex]40[/tex]

volume of pyramid = 40 cm³

now, volume of rectangular prism :

=》

[tex]l \times b \times h[/tex]

=》

[tex]4 \times 5 \times 2[/tex]

=》

[tex]40[/tex]

volume of rectangular prism = 40 cm³

volume of composite figure = 40 + 40

=》80 cm³

Answer 2

The volume of the composite solid will be 80 cubic cm.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

The volume of the Pyramid will be given as,

V = (1/3) × Base area × height

Then the volume of the geometry will be

V = L x W x H + (1/3) x Base area x height

V = 5 x 4 x 2 + (1/3) x 4 x 5 x 6

V = 40 + 40

V = 80 cubic cm

Thus, the volume of the composite solid will be 80 cubic cm.

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Related Questions

what is the value of X in the diagram below

Answers

Answer:

18

Step-by-step explanation:

We will try to find the angle on the left side of the small triangle. So we have to use Tan.

SOHCAHTOA

TanФ = 12/8

[tex]Tan^{-1}[/tex] = 12/8   = 56.31°

So the other one is 33.69°  It's the top left one of the smaller triangle.

The top right side of the bigger triangle is 56.31 because they both add up to make 90°

Now that we have an angle of the bigger triangle we will find the x.

Tan 56.31 = x/12

x = 18

Theres probably a easier way but i dunno

             

Circle T is given below. ZUTV and ZXTW are congruent.

What is the measure of chord WX?
cm

Answers

Answer:

Step-by-step explanation:

First note that the triangles shown are isosceles triangles due to equality of two of their sides which is radius. So their baseline angles are equal

Since their middle angle are equal too, so their 3 angles are the same. It menas both triangles are similar.

However, we know two of three sides are equal, but the third should be also because of their similarity.

y+4 = 2y - 3

2y - y = 4 - 3

y = 4+3

y = 7

Therefore,

2y-3 = 2.7-3 = 14-3 = 11

Answer is 11 centimeters

please help me OMggggG

I need answers rnn before Tuesday ​

Answers

All angles make up 540°.

Use an algebra expression to clarify this.

9x+7x+15+5x-25+6x+25+6x-3=540

Add like terms.

33x+12=540

33x=528

x=16

please help with area and perimeter. please don't give downloaded answer because my computer has issues with winzip

Answers

Answer:

p = 72m

a = 228m^2

Step-by-step explanation:

p = 20 + 12 + 12 + 8 + 6 + 6 + 8 = 72

a = (20 x 12) - ( (6 x 4) / 2) = 240 - (24 / 2) = 240 - 12 = 228

La temperatura mínima en una ciudad el día lunes fue de –2 ºC y la máxima fue de 7 ºC. ¿Cuál fue la variación de temperatura en el día?

Answers

Answer:

La variación de temperatura en el día es 9°C.

Step-by-step explanation:

Cuando tenemos dos valores, uno máximo M y uno mínimo m, la variación entre esos valores es la diferencia (la resta) entre el valor máximo M y el valor mínimo m

variación = M - m

En este caso sabemos que la temperatura mínima es -2°C

La temperatura máxima es 7°C

La variación sera entonces:

Variación = 7°C - (-2°C)

Recordar la regla de los signos:

(-)*(-) = (+)

Entonces:

Variación = 7°C - (-2°C) = 7°C + 2°C = 9°C

La variación de temperatura en el día es 9°C.

Can someone tell me this please

Answers

Answer:

y=11/3

Step-by-step explanation:

39 = 6(1) + 9y

39 = 6 + 9y

39 - 6 = 9y

33 = 9y

9y = 33/9

y = 11/3

Answer:

y = 11/3

Step-by-step explanation:

Sometimes it's just how things are written that makes them seem super hard.

R = 6x + 9y is the equation, and then they say what to sub in for x and R. So now we have:

39 = 6(1) + 9y

39 = 6 + 9y

subtract 6 from both sides

33 = 9y

y = 33/9, simplified to 11/3

Question 2
5 pts
1. It was 8 degrees at nightfall. The temperature dropped 10 degrees by
midnight. What was the temperature at midnight?
[Select]
2. A diver is 25 feet below sea level. After he swims up 15 feet toward the
surface, what is his elevation?
[ Select ]

Answers

Answer:

1. -2 degrees

2. 10 feet below sea level

Step-by-step explanation:

1 through 5 please help!

Answers

Answer:

hope this helps.look it once.



1.) Max is driving 42 miles per hour. A dog dog runs into the street and max reacts in about three quarters of a second. What is his approximate reaction distance

Answers

Answer: [tex]14.07\ m[/tex]

Step-by-step explanation:

Given

Max is driving at a speed of [tex]42\ mph[/tex]

It took him three-quarters of a second i.e. [tex]0.75\ s[/tex]

Speed in meter per second is [tex]18.77\ m/s[/tex]

Distance is given by

[tex]d=v\times t[/tex]

Reaction distance is

[tex]d=18.77\times 0.75=14.07\ m[/tex]

The first 4 terms of a sequence are 5,-3,-11,-19 which of the following is an equation for the nth term of the sequence?

Answers

Answer:

Step-by-step explanation:

Option D is the correct answer

The next term is - 27

Some people use SOH - CAH - TOA to remember the trigonometric ratios for sine, cosine, and tangent. Why do you think that word might help?

Answers

Answer:

hope this is helpful

Step-by-step explanation:

SOH-CAH-TOA is really helpful in remembering what each of the ratios should look like.

For sine, SOH means --> Sine- Opposite- Hypotenuse

This helps to remember that when using sine, you should use the Opposite length over the Hypotenuse in your ratio.

For cosine, CAH means --> Cosine- Adjacent- Hypotenuse

Your ratio should have the Adjacent length over the Hypotenuse

For tan, TOA means --> Tangent- Opposite- Adjacent

Your ratio should have the Opposite length over the Adjacent length  

What is the midpoint between (3,-1)and(7,-5)

Answers

it is (5,-3) hope that helps

There are 18 students participating in a spelling bee. How many ways can the students who go first, second, third, and fourth be chosen? a. 73,440 ways c. 4,896 ways b. 1,028,160 ways d. 13,366,080 ways

Answers

Answer:

the answer is: A

18 * 17 * 16 * 15 = 73,440

Can somebody help me??

Answers

Your answer would be 10 please trust me!! I’ve done that before ):

help me look at picture

Answers

Answer:

113.04

Step-by-step explanation:

Our formula for this circle is 3.14x6^2(6x6) and our formula is 3.14xr^2 so it equals 113.04

It’s a graph please help

Answers

Answer:

(2;6)

Step-by-step explanation:

it will be in first quarter

I’m sorry if I’m asking for too much but this whole page is very confusing And I don’t remember learning this in fifth grade help my brother pass lmk if anything is unclear in the photo

Answers

Answer:

1.)  71 > 38    ║d.) >

2.)  21 < 62   ║g.) <

3.)  58 = 58  ║f.) =

4.)  14 ≤ 6     ║a.) False

5.)  13 ≤ 26   ║h.) True

6.)  25 < y    ║c.) 16

7.)  N = 6      ║e.) 6

8.)  P ≥ 16     ║b.) 50

.b) In a exam, Biraj got 350 marks and failed by 20 marks lf the percentageof pass marks is 40%, what is the full marks​

Answers

Answer:

925 full marks

Step-by-step explanation:

350 + 20 = 370 marks required to pass

370 / 0.40 = 925 full marks

Hi! This is the question:

Answers

Answer:

D

Step-by-step explanation:

afhiutffhjoiyrdcvkoitredcbkoydcvkirdvjut

Answer:

y = 2x

Step-by-step explanation:

5. photo album: $25.50, 10% markup

Answers

Answer:

$28.05

Step-by-step explanation:

If you want to find how much the photo album is after the markup, you first have to find 10% of the original price. 10% of $25.50 is $2.55, so you add $2.55 and $25.50 to find the price after the markup.

Hope this helps!

Suppose the depth of the tide in a certain harbor can be modeled by y = 23 - 5 cos (6.), where y is the water depth in fect
and t is the time in hours. Consider a day in which t= 0 represents 12:00 midnight. For that day, when are high tide and
low tide and what is the depth of each?
a. high tide at 6:00 a.m. and 6:00 p.m., depth 28 ft
low tide at 12:00 noon and 12:00 midnight, depth 18 ft
b. high tide at 6:00 a.m. and 6:00 p.m., depth 23 ft
low tide at 12:00 noon and 12:00 midnight, depth 5 ft
c. high tide at 12:00 noon and 12:00 midnight, depth 28 ft
low tide at 6:00 a.m. and 6:00p.m., depth 18 ft
d. high tide at 12:00 noon, depth 23 ft
low tide at 6:00 a.m., depth 5 ft

Answers

High tide at 6:00 a.m. and 6:00 p.m., depth 23 ft low tide at 12:00 noon and 12:00 midnight, depth 5 ft. Therefore, option B is the correct answer.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given trigonometric function is y=23-5cos(πt/6).

The given equation is y=23-5cos(πt/6), where y is the water depth in feet and t is the time in hours.

To find the high and low tide depths, we need to find the maximum and minimum values of y.

The maximum value of y is obtained when cos(πt/6) = -1, which gives y = 23 - 5(-1) = 28 ft.

The minimum value of y is obtained when cos(πt/6) = 1, which gives y = 23 - 5(1) = 18 ft.

To find the time when high and low tide occur, we need to find the values of t when cos(πt/6) equals -1 and 1 respectively.

When cos(πt/6) = -1, we get πt/6 = 3π/2, which gives t = 12 hours.

When cos(πt/6) = 1, we get πt/6 = 0, which gives t = 0 hours.

Since t = 0 represents 12:00 midnight, we can conclude that high tide will occur at 6:00 a.m. and 6:00 p.m., with a depth of 28 ft, and low tide will occur at 12:00 noon and 12:00 midnight, with a depth of 18 ft.

Therefore, option B is the correct answer.

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Which graph best represents the
solution to the following pair of
equations?
y = -X - 5
y = 2x + 4

Answers

Answer: The first graph

Step-by-step explanation: I used a graphing calculator

Need help plz will give Brainlyest

Answers

Answer: -19r + 31.7s i think

Step-by-step explanation:

Newa
1 pts
Question 8
Which of the following is NOT true about the law-making process in Congress?
O Congress can overrule the president's veto with a 3/4 vote
The House of Representatives and Senate pass the bill along with a majority vote.
A committee discusses debates and votes on a bill
The President can sign the bill into law or veto the bill
Question 9
1 pts

Answers

Answer: They all look correct to me. The only on the might work is the House of Representatives and Senate pass the bill along with a majority vote.

Step-by-step explanation:

Write an exponential function and then find the value when t=7 initial value2000 annual rate:9.2%growth

Answers

Answer:

Step-by-step explanation:

Write an exponential function and then find the value when t=7 initial value2000 annual rate:9.2%growth

Exponential growth function

= y = a(1 + r)^t

Solving for y

y = 200(1 + 0.092)⁷

Bryson has soccer practice for 2 1/4 hours 2 times a week. How much time does Bryson spend at soccer practice in 1 week?

Answers

Answer:

4 1/2 hours

Step-by-step explanation:

1 practice = 2 1/4 hours

2 practices = 4 1/2 hours

Answer: hewo, there! your answer is below

4 2/4  Hours would be my answer

Step-by-step explanation:

Bryson has soccer practice for 2 \frac{1}{4} hours 2 times a week. Bryson spend 4 \frac{2}{4} hours at soccer practice in 1 week

Hope this helps you!

Have a greay day!!

please help!!! will mark brainliest

Answers

Answer:

x = 15

Step-by-step explanation:

Since the quadrilateral is inscribed into circle, its opposite angles are supplementary:

m∠H + m∠K = 180°

Substitute the values and solve for x:

5x - 22 + 8x + 7 = 18013x - 15 = 18013x = 195x = 195/13x = 15

Answer:

Solution ::

According to the property of Cyclic Quadrilateral

5x - 22 + 8x + 7 = 180

(5x + 8x) - (22 - 7) = 180

13x - 15 = 180

13x = 180 + 15

13x = 195

x = 195/13

x = 15

[tex] \\ [/tex]

Question 5 (1 point)
Find the volume of the figure below. Leave in terms of TT for answers that contain T. Round your answer to the nearest hundrednth if
necessary
7 ft
8 ft
10 ft
Оа
214.21 ft3
Ob
186.67 ft?
Ос
115.78 ft?
Od
560 ft3

Answers

Answer:

The volume of the shape is 560 ft^3

Step-by-step explanation:

To find the volume of the figure, we need to multiply the base area by the height of the figure

mathematically, we have the base area as a rectangular shape and its area is the product of its side lengths

We have this as 8 ft * 10 ft = 80 ft^2

So multiplying this by the height which is 7 ft, we have this as;

7 ft * 80 ft^2 = 560 ft^3

p(u) =u³+3u²-12u+4 and g(u)=u-2


divide and find quotient and remainder​

Answers

Answer: U^2+5u-2


Explanation

The quotient and remainder of the polynomial after division are u²+5u-2 and 0 respectively.

What are polynomials?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Given is a polynomial p(u) =u³+3u²-12u+4  which is to be divided by g(u)=u-2

When we divide the polynomial, we get,

Quotient = u²+5u-2

And for this remainder will be zero

Hence, the quotient and remainder of the polynomial after division are u²+5u-2 and 0 respectively.

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While rowing in a race, John does 3960 J of work on the oars in 60 s. What is the power output in Watts?

Answers

Answer:

66 Watts

Step-by-step explanation:

Given data

Work= 3960Joules

Time= 60 seconds

We know that the expression for power is

Power= Work/TIme

Power= 3960/60

Power=66 Watts

Hence the power is 66 Watts

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