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dsp73
2 years ago
14

Find the volume of the following square pyramid​

Mathematics
2 answers:
Oxana [17]2 years ago
8 0
Volume= 1/3 x base area x verticalheight

=1/3 x (5x5) x 5
=41.66667



Ans = 40
yanalaym [24]2 years ago
7 0

Answer:

15 cm

sana po maka tulong

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Translate the word phrase into variable expression The quotient of a number and 6 is increased by 1
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Answer:

n/6 + 1

I'm pretty sure this is right

8 0
3 years ago
Which table best shows the impacts resulting from human activity?
pentagon [3]

Answer:

The second one is the best choice UWU

Step-by-step explanation:

The best choice overall is the second one because the effects are negative. Also, the first one has one positive effect while one negative effect.

The best choice overall is the second one...

The best choice isn't the third or the fourth one because the human impacts on the environment are all positive.

7 0
3 years ago
Read 2 more answers
An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 8 feet tall and has a
nikitadnepr [17]

Answer:

192.92 ft^3

Step-by-step explanation:

volume of a cone = \frac{1}{3}πr²h

π = 3.14

r = radius ]

h = height

the base of a cone is in the shape of a circle. thus, the circumference of the base is equal to the circumference of a circle

circumference of a circle= 2πr

30.144 = 2 x 3.14 x r

r = 30.144 / 6.28

r = 4.8

Volume = 1/3 x 3.14 x 4.8² x 8 = 192.92 ft^3

8 0
3 years ago
Verify the following identity and show steps<br><br> (Cos2 θ)/(1+sin2 θ)= (cot θ-1)/(cot θ+1)
Paul [167]

Answer:

Verified below

Step-by-step explanation:

We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)

In trigonometric identities;

Cot θ = cos θ/sin θ

Thus;

(cot θ - 1)/(cot θ + 1) gives;

((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)

Simplifying numerator and denominator gives;

((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)

This reduces to;

>> (cos θ - sin θ)/(cos θ + sin θ)

Multiply top and bottom by ((cos θ + sin θ) to get;

>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)

In trigonometric identities, we know that;

cos 2θ = (cos² θ - sin²θ)

cos²θ + sin²θ = 1

sin 2θ = 2sinθcosθ

Thus;

(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:

>> cos 2θ/(1 + sin 2θ)

This is equal to the left hand side.

Thus, it is verified.

5 0
2 years ago
Find the area of the shape below. Break<br> the larger shape into smaller pieces if needed.
NikAS [45]

Answer:

116 Sq inches

Step-by-step explanation:

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3×32 + 2×1/2×4×5

96 + 20

116

5 0
2 years ago
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