Answer:
28
Step-by-step explanation:
18 + 3 = 21
28 - 7 = 21
Answer:
<em>metres</em>
Step-by-step explanation:
You are finding the <em>height</em><em> </em>of the building with an angle of elevation, therefore we need to solve for <em>EC</em><em> </em>to add it to <em>BA</em><em> </em>[10 metres] and use TRIGONOMETRIC RATIOS to arrive at our conclusion. Just in case you have forgotten what they were, here they are:

We can now solve for <em>EC</em>:

<em>OR</em>

Now that you have solved for <em>EC</em>, you can now add it to your original 10 metres to get
<em>metres</em>. As a decimal, you would get
<em>metres</em>. You can go ahead and round this off if necessary.
** The reason why the <em>cotangent</em><em> </em>[or <em>tangent</em>] ratio was used was because <em>EA</em><em> </em>is equivalent to <em>DB</em> by the definition of a rectangle. It has two pairs of parallel and congruent sides with <em>four</em><em> </em><em>right</em><em> </em><em>angles</em>. Plus, that is the <em>adjacent</em><em> </em><em>side</em><em> </em>of the triangle, while <em>EC</em><em> </em>is the <em>opposite</em><em> </em><em>side</em><em> </em>of the triangle, so we knew our ratios were correct.
I am joyous to assist you at any time.
Answer:
0.622
Step-by-step explanation:
According to the question,
62.2% of the respondents from Hawaii said that they had exercised more than 30 minutes a day for 3 days out of the week.
So, value of the sample proportion of people from Hawaii who exercised for at least 30 minutes a day for 3 days in a week is given by,

= 0.622
Answer:

Step-by-step explanation:
When we multiply a polynomial by a specific monomial, all terms in the polynomial get multiplied by the monomial.
So we can do this by term.

Multiplying x by x to the something power will just increase the exponent on the x term by one (since powers are just x multiplied by itself). This means the exponent here will increase by 1, so this becomes
.
Same logic applies to the second term:
, raise the exponent by one,
.
For the third term, if there is no exponent on a term you can assume it's exponent is 1 (so
in this case - as
). Again, using the same logic, this turns into
.
For the last term, when we multiply a constant by a variable, we get a term with a variable and a coefficient - the constant becomes the coefficient and the variable stays the variable. Therefore,
.
Adding these terms all together gets us
.
Hope this helped!