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ruslelena [56]
3 years ago
12

How long is line UW?

Mathematics
1 answer:
Neko [114]3 years ago
5 0

Answer: UW= 9√3

Step-by-step explanation:

This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.

The hypotenuse is 18. We can figure out the length of x.

2x=18

x=9

Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.

9√3

We can check our answer by using Pythagorean Theorem.

9²+(9√3)²=18²

81+243=18²

324=324

Since they are equal, we know we have the right answer.

You might be interested in
Negative 10.9p plus 3.9 equals negative 9.18.... what does p equal
Julli [10]

Answer:

-1.2

Step-by-step explanation:

10.9p+3.9=-9.18

Subtract 3.9 from -9.18 to isolate the variable.

10.9p=-13.08

Divide -13.08 by 10.9

-13.08/10.9=-1.2

Which equals

p=-1.2

4 0
3 years ago
A concrete mix is designed to withstand 3000 pounds per square inch​ (psi) of pressure. The following data represent the strengt
ss7ja [257]

Answer:

Mean = 3640

Mode = 4100

Median = 3830.

Step-by-step explanation:

We are given the following data in the question:

Strength of casts (in psi):

3970,4100,3100,3200,2950,3830,4100,4050,3460

Formula:

Mean = \displaystyle\frac{\text{Sum of all observation}}{\text{Total number of observations}}

\displaystyle\frac{3970+4100+3100+ 3200+ 2950+ 3830+4100+ 4050+ 3460}{9} = \displaystyle\frac{32760} {9} = 3640

Mode is the entry with most frequency. Thus, for the given sample mode = 4100.

Median

Since n = 9 is odd,

Formula:

Median = \displaystyle\frac{n+1}{2}th~term

Data in ascending order:

2950,3100,3200,3460,3830,3970,4050,4100,4100

Median = 5th term = 3830.

7 0
3 years ago
Your dad is designing a new garden for your backyard. He has 20 feet of fencing to go around the garden. He wants the length of
Komok [63]

Answer:

Length = 6.25 feet

Step-by-step explanation:

Your dad is designing a new garden for your backyard. He has 20 feet of fencing to go around the garden.

Let the width is x.

Length is 2 1/2 feet longer than the width i.e. (x+2 1/2) = (x+2.5) feet

Perimeter = 20 feet

2(l+b) = 20

(l+b) = 10

(x+2.5+x) = 10

2x+2.5 = 10

2x = 7.5

x = 3.75 feet

Length = (x+2.5)

= (3.75+2.5)

= 6.25 feet

So, the length of the garden is 6.25 feet.

3 0
3 years ago
Who could help me please and thank you
kondor19780726 [428]

Answer:

"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"

Step-by-step explanation:

We have the expression:

-\frac{x^3}{6} - 10 + x

First, what does that expression represents?

As al the powers of x are positive numbers, we can see that this is a polynomial, and the largest power is 3, so this is a polynomial of degree 3, also called a cubic polynomial.

How many terms are there?

The terms are the things separated by + or - symbols, is easy to see that there are 3 terms.

What is the constant term?

The constant term is the term where the variable, x, does not appear, here the constant term is: -10

What is the leading coefficient?

The leading coefficient is the coefficient that multiplies the term with the largest power of x, in this case, we can rewrite:

-\frac{x^3}{6}  -10 + x = (\frac{-1}{6})*x^3 - 10 + x

the leading coefficient is:

(-1/6)

There is a part of the statement that I can't read, i suppose that there says:

"leading degree"

this is just the largest power of x that appears in the polynomial, in this case, is 3.

Then the complete statement is:

"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"

5 0
3 years ago
What is the next step
iragen [17]

Answer:

measure of angle ABC is 6 degree.

Step-by-step explanation:

After you found x, you'll plug it in the equation of the angle it's asking for.

Measure of angle ABD, and you know measure of angle ABC = 4x-1.

4(1)-1 = 4-1 = 3

Measure of angle CBD = 2x+1.

2(1) +1 = 3

Measure of angle ABC is ABD + CBD

3 + 3 = 6

6 0
2 years ago
Read 2 more answers
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