Answer:
the answer is (2,-6)
Step-by-step explanation:
To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34
To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04
<h3>
Answer: Choice B</h3><h3>2W+2( W+4 1/4) = 124 1/2</h3>
=========================================
Explanation:
L = length
W = width
"The length is 4 1/4 longer than the width" (paraphrase) so
L = W + 4 1/4
This means,
P = perimeter = 124 1/2
P = 2L+2W
2L+2W = P
2W+2L = P
2W+2( L ) = P
2W+2( W+4 1/4) = 124 1/2
Total = Principal * (1 + (rate/n))^n*years
where "n" is the number of compounding periods per year (in this case it is 365)
Total = 97,000 * (1<span>.0002123288</span>)^365*4
Total = 97,000 * (1.0002123288)^1,460
<span>
<span>
<span>
=132,247.89
</span>
</span>
</span>
Source: Compound Interest Formulas:
http://www.1728.org/compint3.htm
The answer is: " 53
% " .
__________________________________________
→ " 53
% " of 75 is "40" .
__________________________________________
Explanation:
To solve:
* 75 = 40 ;
→ Rewrite as:
*
= 40 ;
→ The "100" cancels to "4" ; and the "75" cancels to "3" ;
→ {since: "{100 ÷ 25 = 4}" ; and since: "{75 ÷ 25 = 3"} ;
→ So; we rewrite the problem as:
→
*
= 40 ;
→ which is:
* 3 = 40 ;
→ Divide each side of the equation by "3" ;
* 3 ÷ 3 = 40 ÷ 3 ;
to get:
→
=
;
Now, cross-multiply:
→ 3x = (4)*(40) ;
→ 3x = 160 ;
Divide each side of the equation by "3" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 3x / 3 = 160 / 3 ;
to get:
→ x = 53
.
______________________________