Given:
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.
To find:
The measures of the 2 acute angles of the triangle.
Solution:
Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,
Divide both sides by 3.
The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:
Therefore, the measures of two acute angles are 26° and 64° respectively.
Answer:
4.63 cubic yard.
Step-by-step explanation:
Given,
The length of sidewalk, l = 100 feet,
Width, w = 5 feet,
Depth, h = 3 inches = 0.25 feet,
Thus, the volume of the concrete needed for making the sidewalk,
= 125 cubic feet,
∵ 1 cubic yard = 27 cubic feet,
⇒ 1 cubic feet = 
cubic yard,
Thus, the quantity of concrete needed = 
≈ 4.63 cubic yard.
Answer:
Option C is correct.
Step-by-step explanation:
Given the expression: 
Using properties of summation:
Using properties of summation in the given expression we have;
= 
=
Therefore, the following given expression uses the properties of summation to represents is,
15,2,31,13
Answer:
Solution given:a number that is divisible only by itself and 1 (e.g. 2, 3, 5, 7, 11).
now
all prime numbers are:
15,2,31,13
Answer:
I know how to do it I'ma explain it step by step.
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
