Answer:
18√7x⁶
Step-by-step explanation:
Given the expression 7√28x⁶+4√7x⁶, we are to fund the sum in its simplest form as shown;
7√28x⁶+4√7x⁶
= 7√(7*4)x⁶+4√7x⁶
= 7*2√7x⁶+4√7x⁶
= 14√7x⁶+4√7x⁶
Factor out the like term
= 2√7x⁶(7+2)
= 2√7x⁶(9)
= 18√7x⁶
Hence the sum is equivalent to 18√7x⁶
Answer:
x = 37°
Step-by-step explanation:
Given the triangle with two given exterior angles, m ∠107° and m ∠110°:
We can use the <u>exterior angle theorem</u> where it states that the measure of each exterior angle of a triangle is equal to the sum of the measures of the opposite and remote interior angles.
Start by finding the supplement of m ∠110°, that will serve as the other remote interior angle.
The supplement of ∠110° is:
∠110° + y = 180°
Where y = represents the other unknown interior angle.
Subtract ∠110° from both sides:
∠110° - ∠110° + y = 180° - ∠110°
y = 70°
Therefore, the other remote interior angle is y = 70°. Now, we can determine the value of x by establishing the following equation:
107° = x° + 70°
Subtract 70 from both sides:
107° - 70° = x° + 70°- 70°
x = 37°
4, 12, 36, 108, 324, 972, 2916
7th term = 2916
You need the formula: feet per second = feet/second
Now you have to recast the formula to:
feet per second * second = feet , because you want to know the number of feet.
At the bottom is the answer.
At last you have to insert the values:
28 feet per second * 20 seconds = 560 feet
