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3 years ago

Simplify the square root of 7 over 18

Mathematics

1 answer:

gogolik [260]3 years ago

5 0

Answer:

√14/6.

Step-by-step explanation:

√(7/18)

= √7 / √2 *√9

= √7 / 3 √2

= √2*√7 / 3 * 2

= √14 / 6.

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(PLEASE HELP) Find the values of x and y

777dan777 [17]

Answer:

x = 90, y = 43

Step-by-step explanation:

By the SAS theorem (as you can tell by the picture) angles B and C are similar, which means they are both 47 degrees.

Since the triangles are similar (SAS theorem) then angle x must be equal to 90 degrees, because they are on a straight line both angles would need to add up to 180 degrees.

Now that you have two angles out of three, you can solve for the last angle by setting up this equation:

B + D + A = 180

47 + 90 + A = 180

Add 47 and 90 together.

137 + A = 180

Subtract 137 from both sides.

A = 43

x = D and y = A, therefore x = 90 and y = 43.

3 0

3 years ago

Solve this equation<br> 16(1/4x-1/2)>24-2x

jekas [21]

Answer:

x>14

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−4>−2x+24

Step 2: Flip the equation.

−2x+24<−4

Step 3: Subtract 24 from both sides.

−2x+24−24<−4−24

−2x<−28

Step 4: Divide both sides by -2.

−2x−2<−28−2

x>14

5 0

2 years ago

Read 2 more answers

QUICK PLEASE!!<br><br> -5.6 = h/5 + 12.2<br> show steps!

BaLLatris [955]

Answer: h = 89

Step-by-step explanation: Hope correct :)

3 0

2 years ago

Read 2 more answers

PLZZZZZZZZZZZZZ HELP ASAP FOR THE FIRST ONE WHO ANSWERS WILL GET BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Feliz [49]

Answer:

The think that the answer is question 1 is B and the answer to question 2 is also B.

Step-by-step explanation:

6 0

3 years ago

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You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago