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MariettaO [177]

3 years ago

6

Simplifying square root

1 answer:

Ilya [14]3 years ago

8 0

It should be A! I hope all is well and you pass!

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The square root of 54 is what??

Vikentia [17]

$\sqrt{54}$ = 7.348469228

this is irrational, because it cannot be written in the form $\frac{a}{b}$
2. Irrational

6 0

3 years ago

Sinx = 1/2, cosy = sqrt2/2, and angle x and angle y are both in the first quadrant.

Leviafan [203]

Answer:

Option D. 3.73

Step-by-step explanation:

we know that

$tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

and

$sin^{2}(\alpha)+cos^{2}(\alpha)=1$

step 1

Find cos(X)

we have

$sin(x)=\frac{1}{2}$

we know that

$sin^{2}(x)+cos^{2}(x)=1$

substitute

$(\frac{1}{2})^{2}+cos^{2}(x)=1$

$cos^{2}(x)=1-\frac{1}{4}$

$cos^{2}(x)=\frac{3}{4}$

$cos(x)=\frac{\sqrt{3}}{2}$

step 2

Find tan(x)

$tan(x)=sin(x)/cos(x)$

substitute

$tan(x)=1/\sqrt{3}$

step 3

Find sin(y)

we have

$cos(y)=\frac{\sqrt{2}}{2}$

we know that

$sin^{2}(y)+cos^{2}(y)=1$

substitute

$sin^{2}(y)+(\frac{\sqrt{2}}{2})^{2}=1$

$sin^{2}(y)=1-\frac{2}{4}$

$sin^{2}(y)=\frac{2}{4}$

$sin(y)=\frac{\sqrt{2}}{2}$

step 4

Find tan(y)

$tan(y)=sin(y)/cos(y)$

substitute

$tan(y)=1$

step 5

Find tan(x+y)

$tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

substitute

$tan(x+y)=[1/\sqrt{3}+1}]/[{1-1/\sqrt{3}}]=3.73$

7 0

3 years ago

The square below has an area of x^2+10x+25 square meters. What expression represents the length of one side of the square?

Andre45 [30]

(x+5) represents each side of a square. Since all sides of a square are equal, we know that all sides are (x+5).

Base x height = (x+5)(x+5)

Which is x^2+10x+25!

8 0

3 years ago

HELP URGENT I WILL GIVE 20 POINTS

Lunna [17]

h = 9.2 cm

Solution:

Base of smaller triangle = 5 cm

Height of smaller triangle = 2.3 cm

Base of larger triangle = 15 cm + 5 cm = 20 cm

Height of larger triangle = h

$$\frac{2.3}{5}=\frac{h}{15+5}$

$$\frac{2.3}{5}=\frac{h}{20}$

Multiply by 20 on both sides.

$$20 \times \frac{2.3}{5}=\frac{h}{20} \times 20$

$$\frac{46}{5}=h$

9.2 = h

So that Ryan should have add 15 and 5 to get a denominator of 20 on the right sides of the first line. Doing so gives the correct value, h = 9.2 cm.

8 0

3 years ago

(-2,4)<br> Given the function f(x) , calculate the inverse f^-1(x)

allsm [11]

Answer: (4, -2)

<u>Step-by-step explanation:</u>

Inverse is when you swap the x's and y's: (-2, 4) --> (4, -2)

7 0

3 years ago