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eduard
4 years ago
8

Answer the question below. Type your response in the space provided.

Mathematics
1 answer:
andriy [413]4 years ago
3 0

Answer:

62.4$ cm^2

Step-by-step explanation:

The net of the triangular pyramid is attached below.

Since each of the faces is an equilateral triangle of side 6cm, the base of the pyramid will also be an equilateral triangle of side lengths 6cm .

In the equilateral triangles

  • Base = 6cm
  • Height =5.2 cm

Therefore, the surface area of the pyramid formed from the net shown

= 4 X Area of One Triangular Face

=4 (\frac12 \times bh)\\=4 (\frac12 \times 6\times 5.2)\\=4(15.6)\\=62.4$ cm^2

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Find the measure of the indicated angle to the nearest degree. Thanks.
Sholpan [36]

Answer:

θ ≈ 40°

Step-by-step explanation:

Since, sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}

In the picture attached,

Measures of adjacent side and opposite side of the triangle have been given. Therefore, tangent rule will be applied in the given triangle.

tanθ = \frac{19}{23}

θ = \text{tan}^{-1}(\frac{19}{23})

θ = 39.56

θ ≈ 40°

5 0
3 years ago
−2(1 − 4x) = 3x + 8
andreev551 [17]

Answer: x = 2

Step-by-step explanation:

First, Distribute

-2+8x=3x+8

Then, Subtract 3x

-2 + 5x=8

Then, Add 2

5x=10

Then, Divide by 5

x=2

Hope it helps <3

7 0
4 years ago
Read 2 more answers
The figure is made up of a hemisphere and a cylinder.
Sidana [21]

Answer:

90π in^3.

Step-by-step explanation:

Total Volume = volume of cylinder + volume of the hemisphere.

= πr^2h + 1/2*4/3πr^3

= π * 3^2 * 8 + 2/3 π 3^3       ( Note the radius r = 1/2 diameter = 1/2*6 = 3)

= 72π + 18π

= 90π in^3.

3 0
3 years ago
Express 11/4 as a mixed number 11/4=8/4+3/4+2and 3/4
BabaBlast [244]

Answer:

11/4 is an improper fraction. 11/4 as a mixed number is 2 3/4 or 2.75, look below for further information.

Step-by-step explanation:

To change 11/4 (an improper fraction) into a mixed number, we need to the denominator (bottom number) by the numerator (top number).

11 / 4 = 2.75

We can then change the 2.75 into 2 and 3/4. Think of a dollar, how many quarters do you need to make a full dollar? Four, and what is the cost of one quarter? 25 cents. 75 divided by 3 is 25. So we can say that 3/4 is equivalent to the decimal 0.75.

-----------------------------------------------------------------------------------------------------------------

Hope this helped! If it did, please consider making this brainliest! :)

7 0
3 years ago
Question 3
IgorLugansk [536]

Answer:

E. 62

Step-by-step explanation:

Answer:

blue = 32

red = 62

7 0
2 years ago
Read 2 more answers
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