Answers with Explanation.
i. If we raise a number to an exponent of 1, we get the same number.

ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.

iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.

iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.

v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.


vi. Recall that,

We apply this law of exponents to obtain,

vii. We apply

again to obtain,
Answer:
Step-by-step explanation:
AC = length of flagpole = 12 ft
AB = length of shadow = 14 ft
BC = length from the top of the flagpole to the end of the shadow = x ft
Use Pythagorean theorem to find the length of x,
x² = AC² + BC²
= 12² + 14²
= 144 + 196
= 340
x = √340
x = 18.4 ft
Answer:
41 21/25
Step-by-step explanation:
38 1/25 + 3 4/5 = 41 21/25
Answer:
5x + 10y = 125
Step-by-step explanation:
Let :
Number of nickel = x
Number of dime = y
Nickel = 5 cent
Dime = 10 cent
Total value = $1.25
Total value should be converted to cent since both dime and nickel are both in cent
= $1.25 * 100 = 125 cents
Therefore,
5x + 10y = 125 cents