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gayaneshka [121]

2 years ago

8

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1 answer:

nata0808 [166]2 years ago

7 0

Answer:

fakejjajanKsksns znzmsmmsskskkkkksksjzbzhz

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A cone and a triangular pyramid have a height of 9.3 m

Otrada [13]

Answer:

$x=17.1\ in$

Step-by-step explanation:

<u><em>The complete question is</em></u>

A cone and a triangular pyramid have a height of 9.3 m and their cross-sectional areas are equal at every level parallel to their respective bases. The radius of the base of the cone is 3 in and the other leg (not x) of the triangle base of the triangular pyramid is 3.3 in

What is the height, x, of the triangle base of the pyramid? Round to the nearest tenth

The picture of the question in the attached figure

we know that

If their cross-sectional areas are equal at every level parallel to their respective bases and the height is the same, then their volumes are equal

Equate the volume of the cone and the volume of the triangular pyramid

$\frac{1}{3}\pi r^{2}H=\frac{1}{3}[\frac{1}{2}(b)(h)H]$

simplify

$\pi r^{2}=\frac{1}{2}(b)(h)$

we have

$r=3\ in\\b=3.3\ in\\h=x\ in\\pi=3.14$

substitute the given values

$(3.14)(3)^{2}=\frac{1}{2}(3.3)(x)$

solve for x

$28.26=\frac{1}{2}(3.3)(x)$

$x=28.26(2)/3.3\\x=17.1\ in$

7 0

3 years ago

Read 2 more answers

Consider the function f(x) = x2 + 3x − 7. Find the value of f(x) when x = 3 and select the correct answer below.

victus00 [196]

<em>Answer</em>

= 11

<em>Explanation</em>

f(x) = x² + 3x- 7

To get the value of f(x) when x = 3, we substitute x with 3 in the function f(x).

f(x) = x² + 3x- 7

= 3² + (3×3) -7

= 9 + 9 - 7

= 11

6 0

3 years ago

Read 2 more answers

write a division problem that has a 3-digit dividend and a divisor beteen 10 and 20 show how to solve with a quick picture

stich3 [128]

665/15. my answer bshsjakakkwjauz

5 0

3 years ago

a line passes through the point (10, -9) and has a slope of -3/2. write an equation in slope-intercept form for this line.

Alecsey [184]

Slope intercept: y = mx + b
Plug in the slope
Y = -3/2x + b
Plug in the point
-9 = -3/2(10) + b, b = 6
Equation: y = -3/2x + 6

5 0

3 years ago

Make b the subject of the formula: 1/a = 1/b - 1/c

gavmur [86]

I hope this helps you

3 0

3 years ago