Answer:
<em>41 degrees</em>
Step-by-step explanation:
<em>According to Angle Sum Property, the sum of the internal angles of a triangle is equal to 180 degrees.</em>
<em>Therefore,</em>
<em>52 + 87 + ? = 180</em>
<em>139 + ? = 180</em>
<em>? = 180 - 139</em>
<em>? = 41 degrees</em>
Answer:
<h3>6 feet</h3>
Step-by-step explanation
Using the pythagoras theorem;
Given
The length of the flag pole = 8 feet = opposite side
Length of the rope = 10 feet = hypotenuse
To determine how far out on the ground he need to secure the rope from the flagpole so that the rope is tight, we need to look for the adjacent. Using the equation
hyp² = opp² + adj²
10² = 8² + adj²
adj² = 100-64
adj² = 36
adj = √36
adj = 6feet
Hence the rope should be placed 6feet out of the ground
We are given the expression:
(17.6^-1)^8 = 17.6 ^ -8
This means that the two terms on each side are equal. We are asked to show how this is possible.
First, use the rule of exponents. If a term raised to the power of a number x^n and is further raised to the power m: (x^n)^m, to simplify the expression, multiply n and m and this will be your end exponent = x^nm.
We can apply this rule here:
17.6^-1 ^ 8
-1 * 8 = -8
then, retain the base and replace the exponent with the product nm:
17.6 ^-8. This proves that the left term is equal to the right term. <span />
6(3x-5)-7x=25
18x-30-7x=25
11x=55
x=11
-2(5+6m)+16=-90
-10-12m+16=-90
-12m+6=-90
-12m=-96
m=8
Yes because if you check with your math (or a calculator) 365 times 8 is 2,920. Therefore, Isaac's answer is reasonable. Another way you can maybe do it is round 365 days to 370 and 8 to 10 and then multiply. 370 times 10 is 3,700. Since 2,920 is close to 3,700, then the answer is reasonable.
Hope I helped!!
