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3 years ago

If the altitude is √7, find the volume. 36√7 cu. units 18√7 cu. units 12√7 cu. units

Mathematics

1 answer:

rosijanka [135]3 years ago

8 0

Answer:

$Volume = 12\sqrt{7}$ cubic units

Step-by-step explanation:

Volume of the square pyramid is given as ⅓*area of base*height of pyramid.

Where,

Area of base = 6*6 = 36

Height of pyramid = altitude = $\sqrt{7}$ units

Plug the values into the formula to find volume.

$Volume = \frac{1}{3}*36*\sqrt{7}$

$Volume = 12*\sqrt{7}$

$Volume = 12\sqrt{7}$ cubic units

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At the city museum, child admission is $6.10 and adult admission is $9.90. On Friday, 142 tickets were sold for a total sales of

antoniya [11.8K]

Answer:

no of child tickets sold were 58

Step-by-step explanation:

Let the number of child ticket sold be x

cost of 1 child ticket = $6.10

Total cost of x child ticket = x*cost of 1 child ticket = = $6.10x

Let the number of adult ticket sold be y

cost of 1 adult ticket = $9.90

Total cost of y adult ticket = y*cost of 1 adult ticket = = $9.90y

Given total ticket sold = 142

Thus,

number of child ticket sold + number of adult ticket sold = 142

x + y = 142 - equation 1

x = 142 -y

Total sales of ticket = $1185.40

total sales of ticket = Total cost of x child ticket + Total cost of x a dult ticket

6.10x + 9.90y = 1185.40

in this equation substituting x = 142 - y from equation 1

6.10(142 - y ) + 9.90y = 1185.40

=>866.2 - 6.10y + 9.90y = 1185.40

=> 3.80y = 1185.40 - 866.2

=> 3.80y = 319.2

=> y = 319.2/3.80 = 84

Thus, y = 84

x = 142 - y = 142 - 84 = 58

Thus, no of child tickets sold were 58

6 0

3 years ago

Neil and Zack are working on a project that requires both research and presentation. Neil is better at research, so he gives the

djverab [1.8K]

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6 0

3 years ago

Read 2 more answers

Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.

GenaCL600 [577]

Easy
sub 2 for x

f(2)=2(2)^3-3(2)^2+7
f(2)=2(8)-3(4)+7
f(2)=16-12+7
f(2)=11

4 0

3 years ago

The coordinates of the verticies of triangle ABC are A(2,5), B(6,-1), and C(-4,-2). Fint the perimeter of triangle ABC, to the n

deff fn [24]

Answer:

24.4 Units

Step-by-step explanation:

For this, we will use the distance formula to find the distance between each vertex

$\sqrt({x_{1}-x_{2} })^{2} +(y_{1} -y_{2})^{2}$

So we do this for each side of the triangle to get AB = $\sqrt{52}$ , BC = $\sqrt{109}$ , and AC = $\sqrt{45}$

We add these all up to get 24.4 (rounded)

8 0

3 years ago

IgorC [24]

Answer:

g(x) is shifted 4 units left and 6 units down from f(x).

Step-by-step explanation:

The parent function is:

f(x).

The child function is:

$g(x) = f(x+4) - 6$

Transformation 1:

$g(x) = f(x+4)$

Shifting a function f(x) a units to the left is finding f(x + a). So g(x) = f(x + 4) is f(x) shifted 4 units to the left.

Transformation 2:

$g(x) = f(x+4) - 6$

Subtracting a function f(x) by a constant a is the same as shifting the function a units down. So subtracting by 6 is shifting the function 6 units down. Thus, the correct answer is:

g(x) is shifted 4 units left and 6 units down from f(x).

5 0

2 years ago