To<span> find a </span>power of a product, look the power of each factor and then multiply. If you want to multiply two powers with the same exponent but different bases, you use the commutative property of multiplication. Product of powers property shows us that when you multiply powers with the same base you just have to add the exponents. This is raising a <span>power to a power.</span>
$12.95 multiplied by 7 days is $90.65
$2.25 multiplied by 4 days is $9
When you add the two together it equals a total cost of $99.65
Answer:
Explanation:
Use the Pythagorean theorem (
a
2
+
b
2
=
c
2
)
Lets label the right triangle such that:
a
=
12
b
=
16
c
=
x
Thus,
12
2
+
16
2
=
x
2
144
+
256
=
x
2
400
=
x
2
√
400
=
x
20
=
x
So our missing side,
c
is
20
We can now say that the sides of our triangle are
12
,
16
,
20
I've included a link that lists a couple of Pythagorean triples (a couple because they are infinitely many).
Step-by-step explanation:
Hope it helpful
Answer:
∠GJK is 22°
Step-by-step explanation:
Because the shape is a rectangle we know that GH is parallel to JI
This means that because of the alternate angle rule we know that
5x+8 = 7x-16
Then we solve for x
5x+8-5x = 7x-16-5x
8+16=2x-16+16
=
x=16
So this means that ∠HJI is 68°
Because the shape is a rectangle we know that ∠GJI is a right angle
This means that ∠GJK is 90-∠HJI because of the angles on a right angle rule
90-68 =22
∴∠GJK is 22°
housing: 900/4500 = 0.2 = 20%
transportation: 650 / 4500 = 0.14 = 14%
utilities: 120/4500 = 0.026 = 2.6% ( round to 3% maybe)
food: 475/4500 = 0.105 = 10.5% (round to 11% maybe)
savings: 1600 / 4500 = 0.355 = 35.5% (round to 36% maybe)
Student Loan: 270 / 4500 = 0.06 = 6%
Other expenses: 485 / 4500 = 0.107 = 10.7% (round to 11% maybe)
You didn't say if they needed to be rounded so I gave you the options on the ones that may need it.
