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3 years ago

Find the length of the third side. If necessary, round to the nearest tenth.

Mathematics

1 answer:

joja [24]3 years ago

8 0

Answer: 5

Step-by-step explanation:

use formula a^2 + b^2 = c^2

a^2 + 12^2 = 13^2

a^2 + 144 = 169

- 144 -144

a^2 = 25

sqrt sqrt

a = sqrt (25)

a = 5

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If AB = 9, RS = 3, and SC = 5, find BC. A) 5 B) 10 C) 13.5 D) 15

Ronch [10]

Answer:

Step-by-step explanation:

Δ ABC and Δ RSC are similar triangles, thus the ratio of corresponding sides are equal, that is

$\frac{BC}{SC}$ = $\frac{AB}{RS}$ , substitute values

$\frac{BC}{5}$ = $\frac{9}{3}$ = 3 ( multiply both sides by 5 )

BC = 5 × 3 = 15 → D

8 0

4 years ago

Read 2 more answers

The nth term of a sequence is 3n²-1

Anarel [89]

Answer: The number is 26.

Step-by-step explanation:

We know that:

The nth term of a sequence is 3n²-1

The nth term of a different sequence is 30–n²

We want to find a number that belongs to both sequences (it is not necessarily for the same value of n) then we can use n in one term (first one), and m in the other (second one), such that n and m must be integer numbers.

we get:

3n²- 1 = 30–m²

Notice that as n increases, the terms of the first sequence also increase.

And as n increases, the terms of the second sequence decrease.

One way to solve this, is to give different values to m (m = 1, m = 2, etc) and see if we can find an integer value for n.

if m = 1, then:

3n²- 1 = 30–1²

3n²- 1 = 29

3n² = 30

n² = 30/3 = 10

n² = 10

There is no integer n such that n² = 10

now let's try with m = 2, then:

3n²- 1 = 30–2² = 30 - 4

3n²- 1 = 26

3n² = 26 + 1 = 27

n² = 27/3 = 9

n² = 9

n = √9 = 3

So here we have m = 2, and n = 3, both integers as we wanted, so we just found the term that belongs to both sequences.

the number is:

3*(3)² - 1 = 26

30 - 2² = 26

The number that belongs to both sequences is 26.

6 0

3 years ago

Solve the qn in attachment .

galina1969 [7]

Answer:

$\implies \dfrac{ -4x+7}{2(x-2) }$

Step-by-step explanation:

The given expression to us is ,

$\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}$

Now take the LCM as ( x - 1 ) and Simplify , we have ,

$\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}$

Simplifying further , we get ,

$\implies \dfrac{ -4x+7}{2(x-2) }$

Hence the second option is correct.

5 0

3 years ago

Find area of the figure. Round to the nearest hundredth if necessary.

Thepotemich [5.8K]

It would be 17.64 for the area

8 0

4 years ago

Which expression is equivalent to 30 ÷ (3 + x)

Lena [83]

Answer:

<h3>Answer would be B because addition is commutative that is, a + b = b + a </h3>

So answer would be 30 ÷ (X + 3)

4 0

3 years ago

Read 2 more answers