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2 years ago

What is the length of the missing leg?

Mathematics

2 answers:

dimulka [17.4K]2 years ago

4 0

What ? enter a image Im confused reading this .

but anyways have a good day :)

Amanda [17]2 years ago

3 0

Answer:

it all depends on the length of the adjoining leg

Step-by-step explanation:

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PLS HELP 50 POINTS

PtichkaEL [24]

Answer:

$\text{Volume of prism made by }\Delta XYZ=2304\text{ in}^3$

Step-by-step explanation:

Let us assume that both prisms are similar, so we can use proportions to solve for the volume of prism made by triangle XYZ.

Let us find the proportion between the sides of both triangles.

$\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{24}{36}$

$\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{12*2}{12*3}$

$\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{2}{3}$

Since for volume of triangular prism we multiply base area and height of the prism, this means we will have to multiply the proportion of each side length 3 times to find the proportion of volumes between our both prism.

So we can set proportion for volume of both prisms as:

$\frac{\text{Volume of prism made by triangle XYZ}}{\text{Volume of prism made by triangle PQR}}=(\frac{2}{3})^3$

$\frac{\text{Volume of prism made by triangle XYZ}}{\text{Volume of prism made by triangle PQR}}=\frac{8}{27}$

Upon substituting volume of prism made by triangle PQR we will get,

$\frac{\text{Volume of prism made by triangle XYZ}}{7776\text{in}^3}=\frac{8}{27}$

Let us multiply both sides of our equation by 7776 cubic inches.

$\frac{\text{Volume of prism made by triangle XYZ}}{7776\text{ in}^3}*7776\text{ in}^3=\frac{8}{27}*7776\text{ in}^3$

$\text{Volume of prism made by triangle XYZ}=8*288\text{ in}^3$

$\text{Volume of prism made by triangle XYZ}=2304\text{ in}^3$

Therefore, the volume of prism made by triangle XYZ is 2304 cubic inches.

7 0

3 years ago

What is the greatest common factor of 3 and 27?

Drupady [299]

Answer:

Step-by-step explanation:

because 3 is the only number that goes into both 3 and 27

8 0

2 years ago

Read 2 more answers

The graph of a system of parallel lines will have no solutions. (1 point) Select one: a. Always b. Sometimes c. Never

Andreas93 [3]

Answer:

Always

Step-by-step explanation:

They never intersect

8 0

3 years ago

Read 2 more answers

taurus [48]

Answer:

$x^2 - 2x + 10$ , option B

Step-by-step explanation:

Complex numbers:

The most important relation that involves complex numbers is given by:

$i^2 = -1$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

The solutions are:

$x_1 = 1 - 3i, x_2 = 1 + 3i$

We have to find the polynomial. All option have $a = 1$ . So

$(x - (1 - 3i))(x - (1 + 3i)) = x^2 - x(1 + 3i) - x(1 - 3i) + (1 - 3i)(1 + 3i) = x^2 - x -3ix - x + 3ix + 1^2 - (3i^2) = x^2 - 2x + 1 - 9i^2 = x^2 - 2x + 1 - 9(-1) = x^2 - 2x + 10$

The correct answer is given by option b.

6 0

3 years ago

I need help with 6,7,8,9,10 please

Anna [14]

Can you take a picture of your whole worksheet? only the front page

7 0

3 years ago