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3 years ago

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 = $\sqrt{14}$

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The perimeter of a rectangle garden is 48 feet. The length is 5 times the width.

VARVARA [1.3K]

I'll draw a diagram for you, so that it's easier to understand.
First you have to understand that the perimeter is all the sides add up together.

Let's set up an equation, using l for the length, and w for the width.

5w + w = 48
Simplify
6w = 48
Divide by 6 on both sides
w = 8

Now the value we got is actually both widths (the green sides), so the width is actually 4. Which means that the length is 20.

The answer is 4ft by 20 ft.

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)

3 0

2 years ago

Read 2 more answers

Find mZXZx(5t - 13°Y(3t+ 3)

trapecia [35]

The diagram provided is an isosceles triangle. An isosceles triangle has two sides having equal measure and two base angles also having equal measure.

From the marks on the triangle given, line ZX and line ZY are equal in length. This also means angle X and angle Y are equal in measure.

Therefore, we would have;

$\begin{gathered} 5t-13=3t+3 \\ \text{Collect all like terms and you'll have,} \\ 5t-3t=3+13 \\ 2t=16 \\ \text{Divide both sides by 2} \\ \frac{2t}{2}=\frac{16}{2} \\ t=8 \\ \text{If t=8, then} \\ 5t-13=5(8)-13 \\ 5t-13=40-13 \\ 5t-13=27 \end{gathered}$

This means angle X and angle Y both equal 27 degrees each.

Note that the sum of angles in a triangle is 180. Therefore, in triangle ZXY,

$undefined$

7 0

8 months ago

Find the sum of the following ap .1) 1/15, 1/12, 1/10,....,to 11 terms

sertanlavr [38]

Answer:

33/20

Step-by-step explanation:

1/12 - 1/15 = 5/60 - 4/60 = 1/60

d = 1/60

a_n = a_1 + d(n - 1)

a_11 = 1/15 + (1/60)(11 - 1)

a_11 = 1/15 + 1/6

a_11 = 4/60 + 10/60

a_11 = 14/60

a_11 = 7/30

a_12 = 14/60 + 1/60

a_12 = 15/60

a_12 = 1/4

s_n = n(a_1 + a_n)/2

s_11 = 11(1/15 + 7/30)/2

s_11 = 11(2/30 + 7/30)/2

s_11 = 11(9/30)/2

s_11 = 99/60

s_11 = 33/20

8 0

3 years ago

We know that a class interval must be greater than what the I formula solution is; however... What is the solution for class int

stich3 [128]

Answer:

Therefore the answer is 20.

Step-by-step explanation:

We know that

class interval = range / number of classes

But here number of classes is not given , so we use the formula

class interval = range / ( 1+ 3.322 log N)

where , range =maximum - minimum = 220-100 = 120

N= number of observations = 50

class interval = 120 / ( 1+ 3.322 * log 50) = 18.06

Rounding up to a convinient number

Thus , class intervai = 20

Therefore the answer is 20.

3 0

2 years ago

How many square inches are in 60 square fee

Vilka [71]

Answer:

8640 square inches

Step-by-step explanation:

There are 12 inches in one foot so there would be 12 * 12 = 144 square inches in 1 square foot. Therefore, there are 144 * 60 = 8640 square inches in 60 square feet.

8 0

3 years ago