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3 years ago

Similar right triangles Solve for x include a explanation

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

4 0

Answer:

x = 12

Step-by-step explanation:

The figure in the question was split into the triangles in the attachment to the solution.

Now applying the principle of similar triangles, we have:

$\frac{16}{x} = \frac{x}{9}$

cross-multiplying, we have:

$x^{2} = 16*9 = 144$

solving for x,

x = 12

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Samuel has a hamster cage that is a rectangular prism. It is 20 1/2 inches long, 12 inches

AleksandrR [38]

Answer:

Step-by-step explanation:

Volume= length × width × height.... Volume= 20 1/2 × 12 × 10 1/4..... Volume= 2521 1/2 cubic inches or 2521.5 cubic inches

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3 years ago

Given f(x) = 8x + 25, find x when f(x) = 9.

elixir [45]

Answer:

-2?

Step-by-step explanation:

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3 years ago

Urgent!

AfilCa [17]

Answer:

The polynomial will be P(x) = - 5 (x + 2)²(x - 3)

Step-by-step explanation:

The degree of the polynomial P(x) is 3 and it has zeros at x = - 2 with multiplicity 2 and at x = 3 with multiplicity 1.

Therefore, (x + 2)² and (x - 3) are the factors of the equation.

Let the polynomial is

P(x) = a(x + 2)²(x - 3) ........... (1)

Now, the polynomial passes through the point (2,80).

So, from equation (1) we gat,

80 = a(4)²(-1)

⇒ a = - 5

Therefore, the polynomial will be P(x) = - 5 (x + 2)²(x - 3) (Answer)

6 0

3 years ago

Find the circumference of the circle and show work

expeople1 [14]

Answer:

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Circumference of a circle is given by

$C = 2\pi \: r$

Given - Diameter of circle = 10 yards

$radius = \frac{diameter}{2} = \frac{10}{2} \\ \\ \implies \: 5 \: yards$

now ,

substituting the value of r in the formula of circumference ~

$C = 2 \times \frac{22}{7} \times 5 \\ \\ \implies \: C = \frac{220}{7} \\ \\ \implies \: C = 31.43 \: yards \: (approx.)$

hope helpful :D

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2 years ago

Read 2 more answers

Explain why -0.33 is greater than -0.33. (This is not part of the question but there is a line above the second -0.33, like the

Drupady [299]

The line means it is -.3333333333333333 and so on , that's why it is greater than -.33

6 0

2 years ago