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AlladinOne [14]
3 years ago
6

URGENT HELP NEEDED!!!!!

Mathematics
1 answer:
Alona [7]3 years ago
7 0

Answer:

k

Step-by-step explanation:

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Find the volume of the composite solid. Round your answer to the nearest tenth
Vesna [10]

Answer:

V = 1206.3 ft^{3}

Step-by-step explanation:

This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.

Volume of a cylinder = area (of the base) x height

Substitute in the formula for the area of a circle.

V(cylinder) = \pir^{2} x h

Substitute in the values for the radius (8) and height (4)

V(cylinder) = \pi x 8^{2} x 4

Evaluate using a calculator

V(cylinder) = 804.2477

To the nearest tenth, V(cylinder) = 804.2

Volume of a cone = \frac{\pi r^{2}h }{3}. This is the area of the circular part of the cone (\pi r^{2}), multiplied by the height from the point to the base, all divided by 3.

Substitute in the values for the radius of the circle (8) and the height (6)

V(cone) = \frac{\pi 8^{2} 6 }{3} (On the top it's \pi x 8^{2} x 6)

Evaluate using a calculator

V(cone) = 402.1239

To the nearest tenth, V(cone) = 402.1

Total volume = V(cylinder) + V(cone)

= 804.2 + 402.1

= 1206.3 ft^{3}

7 0
3 years ago
X
sergeinik [125]

Answer:

A. x = 58°

B. x = 10m

C. a = 44°

All approximated to nearest whole number.

Step-by-step explanation:

All triangles given are right angled triangles. Therefore, we would apply the trigonometry functions to solve for each missing side and angle.

Recall: SOHCAHTOA

a. Adjacent = 4.8cm,

Hypotenuse = 9cm

Angle to find =x°

Thus, we would apply the following formula:

Cos θ = Adjacent/Hypotenuse

Cos θ = 4.8/9 = 0.5333

θ = Cos-¹(0.5333) = 57.77

x ≈ 58° (to nearest whole number)

b. Opposite side = x

Hypothenuse = 40 m

Included angle = 14°

We would use:

Sine θ = opposite/hypothenuse

Sin (14) = x/40

Multiply both sides by 40

40*sin(14) = x

40*0.2419 = x

x = 9.676 = 10 m (to nearest whole number)

c. Opposite = 87mm

Adjacent = 91mm

θ = a°

We would use:

Tan θ = opposite/adjacent

Tan θ = 87/91

Tan θ = 0.9560

θ = tan-¹(0.9560)

θ = a = 43.71

a ≈ 44° (to nearest whole number)

7 0
3 years ago
A || b what’s the value of X?
Anna007 [38]
<h3><u>Answer:</u></h3>
  • The value of x is 17.
<h3><u>Step-by-step explanation:</u></h3>

<u>We know that the lines are parallel because it is given that:</u>

  • a ∥ b

<u>Now, let's form an equation.</u>

  • => 2x + 5 + 8x + 5 = 180

<u>Let's solve!</u>

  • => 10x + 10 = 180
  • => 10x = 170
  • => x = 17

Hence, the value of x is 17.

BrainiacUser1357

4 0
2 years ago
Which statement describes the first step to solve the equation by completing the square?
BabaBlast [244]
Take 16x divide it by 2 and square it. 16/2= 8. 8^2= 64. So, the first step will be to add 64 to both sides.
8 0
2 years ago
Omg I already got 2 wrong someone please help
Butoxors [25]
The answer is the first one.

I hope this help c:
8 0
3 years ago
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