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3 years ago

Two sides of a triangle measure 14 inches and 8 inches. which cannot be the length of the remaining side?

1 answer:

3 0

1. The "triangle inequality" states that any of the sides of the triangle, is larger than the difference of the other 2 sides (the larger minus the smaller), and it is smaller than the sum of them.

2. So the third side of this triangle must be larger than 14-8=6 (in) and smaller than 14+8=22 (in)

3. So let a denote the remaining side, then 6 < a < 22, which means a can be any number in between 6 and 22 inches.

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What is the sum of the geometric series i =i

tatiyna

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3 years ago

Is ∆RST ≅ ∆VUT ? Justify your answer below.

BlackZzzverrR [31]

Answer:

Yes.

Step-by-step explanation:

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3 years ago

Pls help!

Misha Larkins [42]

Answer:

5.184 or 5.180 (rounded up)

Step-by-step explanation:

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3 years ago

A 10 ft tall statue standing next to a woman casts an 18 ft shadow. If the woman is 5 ft tall, then how long is her shadow? A 3

zepelin [54]

Answer

Find out the how long is woman shadow .

To prove

Let us assume that the height = x

Let us assume that the shadow = y

(As shadow increase with the increase in the height.)

$x\propto y$

x = ky

Where k is constant of proportionality.

As given

A 10 ft tall statue standing next to a woman casts an 18 ft shadow.

10 = k × 18

$k = \frac{10}{18}$

As given

If the woman is 5 ft tall .

Let us assume that the shadow of woman be s .

Put in the proprtionality equation .

5 = k × s

$k = \frac{5}{s}$

Compare the value of k .

$\frac{10}{18} = \frac{5}{s}$

$s = \frac{18\times 5}{10}$

s = 9 ft

Therefore the shadow of the woman be 9 ft .

Option (C) is correct .

8 0

3 years ago

Read 2 more answers

Which of the following functions gives the length of the base edge, a(v), of a right square pyramid that is 8 inches tall as a f

Vedmedyk [2.9K]

$\text{Given that the height of the right square pyramid is 8 inches}\\
\text{we need to find the length of the base edge of the right square pyramid a(v)}\\
\\
\text{we know that the volume of a right square pyramid with base edge a and }\\
\text{height h is given by}\\
\\
V=\frac{1}{3}a^2 h\\
\\
\text{so using this formula, we get}$

$V=\frac{1}{3}\times a^2 \times 8\\
\\
\Rightarrow V=\frac{8}{3}a^2\\
\\
\text{multiply both sides by }\frac{3}{8}, \text{ we get}\\
\\
a^2=\frac{3V}{8}\\
\\
\text{take square root both sides to get}\\
\\
a=\sqrt{\frac{3}{8}V}\\
\\
\text{Hence the length of the base edge is: }a(V)=\sqrt{\frac{3}{8}V}$

5 0

3 years ago

Read 2 more answers