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Dimas [21]
3 years ago
11

A triangular pyramid has a volume of 84 cubic centimeters. The triangular base has a 14-centimeter base and a 8-centimeter heigh

t. Find the height of the volume.
Mathematics
1 answer:
Katen [24]3 years ago
5 0

Answer:

4.5 cm.

Step-by-step explanation:

The volume of the pyramid = 1/3 * area of the base * height.

Area of the triangle = 1/2 * base * height

= 1/2 *  14 * 8

= 56 cm^2.

So  the volume of the pyramid =

84 =  1/3 * 56 * h

h = 84 / (1/3 * 56)

h = 84 * 3 / 56

= 4.5 cm.

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Solve for x.<br> 10<br> 8<br> 6
Serga [27]

Answer:

18

Step-by-step explanation:

Intersecting Secants Theorem:

6(x + 6) = 8(8 + 10)

6x + 36 = 8(18)

6x + 36 = 144

6x = 144 - 36

6x = 108

x = 18

3 0
3 years ago
What is the area of a parallelagram with the base of 6 and height of 5
Veseljchak [2.6K]

Answer:

30 units²

Step-by-step explanation:

Area of a parallelogram = Base * Height

Substitute in known values

Area = 6 * 5

Area = 30 units²

Hope this helps :)

7 0
3 years ago
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which transformation of the function f(x) is the rigid motion: 2f(x)+3, f(x/2)+1, 2f(x/2), or f(x-1/2)+3
Katarina [22]
Answer is choice D. The other choices involve dilations, or scalings, which basically make the graph taller or flatter depending on what the scale factor is. In the case of f(x-1/2)+3, we shift f(x) to the right 1/2 a unit and up 3. 
4 0
3 years ago
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The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x1 − 2.3x2 + 7.6x3 + 2.7x4 The
trapecia [35]

Answer:

a) = 0.9739

b) = 0.969

c) option A is correct

Step-by-step explanation:

Given that:

sample size n = 30

SST = 1803

SSR = 1756

R^2 = \dfrac{SSR}{SST} \\ \\ R ^2 = \dfrac{1756}{1803} \\ \\  \mathbf{R^2 =0.9739}

The adjusted R_a^2 is computed as:

R_a^2 = 1 - (\dfrac{n-1}{n-p})(1-R^2)

where;

p = k+1 \\ p= 4+1 = 5

R_a^2 = 1 - (\dfrac{30-1}{30-5})(1-0.9739)

R_a^2 = 1 - (\dfrac{29}{25})(0.0261)

R_a^2 = 1 - (1.16)(0.0261)

R_a^2 = 1 -0.030276

\mathbf{R_a^2 \simeq 0.969}

7 0
3 years ago
2/5 divided by 8/9 I need answer right now.
Lynna [10]

Answer:.45

Step-by-step explanation:

2/5 ÷ 8/9 KCF

18/40

5 0
3 years ago
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