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3 years ago

Find the length of the missing side.

Mathematics

1 answer:

Sonja [21]3 years ago

8 0

Hi! We’re going to use the pythagorean theorem to answer this.

3 + x^2 = 8
subtract 3 from 8
x^2=5
take the square root of both sides
x=sqrt5

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3 years ago

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Use the Binomial Theorem to expand (3 + 2x)4.

Sergio [31]

3*4=12
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7 0

3 years ago

Find the measure of the arc or angle indicated.

zhannawk [14.2K]

Answer:

$arc\ RF=80^o$

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises.

step 1

Find the measure of the arc PQR

$109^o=\frac{1}{2}[arc\ PQR]$

$arc\ PQR=218^o$

step 2

Find the measure of arc QR

$arc\ PQR=arc\ PQ+arc\ QR$

we have

$arc\ PQR=218^o$

$arc\ PQ=74^o$

substitute

$218^o=74^o+arc\ QR$

$arc\ QR=144^o$

step 3

Find the measure of the arc QRF

$112^o=\frac{1}{2}[arc\ QRF]$

$arc\ QRF=224^o$

step 4

Find the measure of arc RF

$arc\ QRF=arc\ QR+arc\ RF$

we have

$arc\ QRF=224^o$

$arc\ QR=144^o$

substitute

$224^o=144^o+arc\ RF$

$arc\ RF=80^o$

4 0

4 years ago

What is percent of 800 and 900

Lerok [7]

Answer:

800 is 88.89% of 900

Step-by-step explanation:

8 0

3 years ago

Which function is the inverse of f(x) = -5x -4?

Luda [366]

Answer:

f^-1(x) = (x + 4) / -5

Step-by-step explanation:

f(x) = -5x - 4 Substitute f(x) with y

y = -5x - 4 Switch the x and y variables

x = -5y - 4 Solve it down

x + 4 = -5y

y = (x + 4)/ -5

f^-1(x) = (x + 4) / -5 <----- This is the answer

4 0

3 years ago