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AlexFokin [52]
3 years ago
10

Simplify 4 square root of 2 end root plus 7 square root of 2 end root minus 3 square root of 2 . (1 point)

Mathematics
1 answer:
Kaylis [27]3 years ago
5 0

Answer:

8√2

Step-by-step explanation:

Add the first number for each one so: 4√2 + 7√2 - 3√2= 8√2

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The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.
Anuta_ua [19.1K]

Answer:

perimeter=90

Step-by-step explanation:

We know that the length is four times the width, so:

l=4w

We also know the area, which is 324 m². The formula for area:

A=l*w

Insert the known values:

324=(4w)*w

Solve for w. Simplify by removing parentheses:

324=4w*w\\324=4w^2

Divide 4 from both sides to isolate the variable:

\frac{324}{4}=\frac{4w^2}{4}  \\\\81=w^2

Find the square root of both sides:

\sqrt{81} =\sqrt{w^2} \\\\w=9

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

324=l*9

Solve for l. Divide both sides by 9:

\frac{324}{9}=\frac{l*9}{9}\\\\  l=36

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

P=2l+2w

Insert values:

P=2(36)+2(9)\\\\P=72+18\\\\P=90

The perimeter is 90 m.

5 0
3 years ago
Find the following trigonometry values <br> cos (150*) = ? <br> sin (150*) = ?
melisa1 [442]

Answer:

See below in bold.

Step-by-step explanation:

cos 150 = - cos(180 - 150)

= - cos 30

= -√3/2.

sin 150

= sin (180 - 150

= sin 30

= 1/2.

4 0
3 years ago
Read 2 more answers
What phrases describes the expression of 16-y​
Jlenok [28]

<em>What phrases describes the expression of 16-y​</em>

<em>Answer: -9</em>

<em></em>

<em>Hope this helps~ </em>

6 0
3 years ago
Use the discriminant to determine the number and type of solutions the equation has.
lidiya [134]
Discriminant = square root (b^2 -4*a*c)
square root (64 -4*1*12) =
square root (16) =
4
Therefore it has 2 rational soltions


4 0
2 years ago
125% of what number is 80?<br> Oa 36<br> Oь 40<br> Os 64<br> Od 72
Mnenie [13.5K]

Answer:

d. 72

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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