All categories

3 years ago

What is the value of x?

Mathematics

1 answer:

REY [17]3 years ago

5 0

Answer:

The missing side has a length equal to $15\sqrt{3}$

Step-by-step explanation:

We need to find the length of the missing side on the right triangle. We were given the length of the hypotenuse, and the opposite cathetus, therefore we can use the sine relation. This is done below:

$sin60=\frac{x}{30}\\\frac{\sqrt{3}}{2}=\frac{x}{30}\\x=15\sqrt{3}$

You might be interested in

Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.

tester [92]

Given:

Polynomial is $3x^2+15x-56$ .

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

$3x^2+15x-56+(x-8)^2$

$=3x^2+15x-56+x^2-2(x)(8)+8^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

$=3x^2+15x-56+x^2-16x+64$

On combining like terms, we get

$=(3x^2+x^2)+(15x-16x)+(-56+64)$

$=4x^2-x+8$

Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is $4x^2-x+8$ .

7 0

3 years ago

PLEASE HELP FAST...The dot plots show the numbers of children’s books purchased by customers at two different bookstores on one

Katena32 [7]

Answer:

The mode of the data for Store 2 is greater than the mode of the data for Store 1.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

X/w = z/y². solve for y

jek_recluse [69]

Answer:

Step-by-step explanation:

We can simplify (cross multiply) to get $xy^2=wz$

Then we easily simplify to get $y=\sqrt{\frac{wz}{x}},\:y=-\sqrt{\frac{wz}{x}};\quad \:w\ne \:0,\:x\ne \:0$

8 0

3 years ago

Can someone help please

Elis [28]

Answer:

Alternate

Step-by-step explanation:

Because, as you can see, it is alternating

4 0

3 years ago

Simplify the following expression. 1 point<br><br> (-2+i)(3-6i)

liberstina [14]

(-2+I)(3-6i)
-2i + -6i = 12i

4 0

3 years ago

Read 2 more answers