100 PTS:Please help me now plz plz

Mathematics

2 answers:

Alex Ar [27]2 years ago

4 0

Answer:

x = 12

Step-by-step explanation:

We have a right triangle with hypotenuse 10 and the height 8. Either the one on the left or the one on the right

We can find the base using the Pythagorean theorem

a^2 + b^2 = c^2

a^2 +8^2 = 10^2

a^2 +64 = 100

Subtract 64 from each side

a^2 = 100 -64

a^2 = 36

Take the square root of each side

a = 6

Now a is 1/2 of the total base of the big triangle. It is identical since the triangles are equal

x = 2 * a

x = 2*6 = 12

nataly862011 [7]2 years ago

4 0

Answer:

x = 12

Step-by-step explanation:

Consider the right angle triangle with

base: x/2

height: 8

hypotenuse: 10

Using pythagoras theorem

10² = 8² + (x/2)²

(x/2)² = 100 - 64

(x/2)² = 36

x/2 = 6

x = 12

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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

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