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netineya [11]
3 years ago
15

ASAP!! Find the length of side x in simplest form with a rational denominator

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Answer:

x=\sqrt{14}

Step-by-step explanation:

This triangle is a 45-45-90 triangle.

By using the image I posted, we can find x easily.

So, we have \sqrt{7} as one of the sides.

They hypotenuse, which is x is just \sqrt{7} \sqrt{2}

Simplify and we get x = \sqrt{14}

You might be interested in
1.50μm2. Convert this to square meters.
marishachu [46]
<span>As we know that 1 µm = 10^-6 m On squaring both sides 1 µm2 = 10^-6 x10^-6 m2 1 µm2 = 10^-12 m2</span>
3 0
4 years ago
Karla's jewelry box is shaped like a rectangular prism. The bottom surface of the box has an area of 65 square inches. The heigh
koban [17]

Answer:

780  cubic inches

Step-by-step explanation:

Step one:

Given data

The bottom surface of the box has an area of 65 square inches.

Already given an area and a height of 12 in

we proceed to find the volume by multiplying Area and height

Required

The volume of the box

Volume= Area* height

Step two:

Volume= 65*12

Volume = 780  cubic inches

6 0
3 years ago
4. The students in Mr. Michael’s art class are decorating a booth for Harvest Day. They have blue cloth that is 60 inches long,
MrRissso [65]

Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.

<u>a.</u>  

As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find <u>GCF(greatest common factor) of 60, 48 and 72. </u>

First we will factor out all three numbers completely......

60=2*2*3*5\\ \\ 48=2*2*2*2*3\\ \\ 72=2*2*2*3*3

The common factors are: 2, 2 and 3

Thus the GCF = 2*2*3=12

So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.

<u>b. </u>  

For finding the number of pieces for each color cloth, we will just <u>divide the length of each cloth by 12</u>. So...

Number of pieces for blue cloth =\frac{60}{12}=5

Number of pieces for gold cloth =\frac{48}{12}=4 and

Number of pieces for white cloth =\frac{72}{12}=6

4 0
3 years ago
Pls answer<br><br> Y’all are awesome thx
Vilka [71]

Answer: 12a.) slope is 125, y-intercept is 50 (started at 50 ft)

12b.) f(3) = 425 feet

12c.) 3.6 hours

Step-by-step explanation:

12a.) The slope equation is y = mx+b, where m is the slope, and b is the y intercept.

12b.) to find f(3) you could either plug it into the equation given (125x+50) or pretend there is a vertical line at 3 on the x axis, and where it crosses the line given would be the answer.

12c.) He is climbing a 500 ft cliff, and according to the graph, it takes him 3.6 hours to do it. Another way to find this answer would be to find f(3.6), which is indeed 500 ft.

Hope this helps!

3 0
3 years ago
Please help! Due soon
sesenic [268]

Answer:

its 2/6

Step-by-step explanation:

7 0
3 years ago
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