1 3 4
1 -- + 1 -- = 2 --
5 5 5
Explanation:
1 + 1 = 2
1/5 + 3/5 = 4/5<span />
Answer:
1200 Quarts of Water
Step-by-step explanation:
Starting off with 3600 gallons of water, we know that this needs to be changed to quarts, which to do this you multiply it by 4.
3600 x 4 = 14400
This now shows how many quarts of water are wasted every year, but we need it in months. To do this, we divide by twelve because there are 12 months in a year.
14400 / 12 = 1200
This leads you with the answer of 1200 quarts of water being wasted every month.
Part A.
Using the Pythagorean theorem,
PR² = PQ² +QR²
PR² = (14 ft)² +(6 ft)² = 196 ft² +36 ft² . . . . substitute the given numbers
PR² = 232 ft² . . . . . . . . . . . . . . . . . . . . . . . .find the sum
PR = √(232 ft²) ≈ 15.23 ft . . . . . . . . . . . . . take the square root
The length of rod PR is 15.23 ft.
Part B.
Using the Pythagorean theorem,
PR² = PQ² +QR²
(16 ft)² = (14 ft)² +QR² . . . . . . . substitute the given numbers
256 ft² -196 ft² = QR² . . . . . .. subtract 14²
60 ft² = QR² . . . . . . . . . . . . . . find the sum
√(60 ft²) = QR ≈ 7.75 ft . . . . . take the square root
The new height QR is about 7.75 ft.
Answer:
Quotient = a²+ 4a- 2
Step-by-step explanation:
(8a3+31a2-20a-5)/(8a-1)
=
<u> a² +4a-2 ⇒ quotient</u>
(8a-1)√(8a3+31a2-20a-5)
8a²- a² ⇒ Multiplying (8a-1) by a²
<u> - + </u> ⇒ Changing signs
32a²- 20a- 5
32a²- 4a ⇒ Multiplying (8a-1) by 4a
<u> - + </u> ⇒Changing signs
-16a -5
- 16a +2 ⇒ Multiplying (8a-1) by -2
<u> + - ⇒</u> Changing signs
-7 ⇒ Remainder
We follow the steps of simple division to get the quotient which is a²+ 4a- 2
We multiply (8a-1) by factors such as a², +4a and -2 to get the same terms as given in the dividend.
Answer:
the equation is y=4x+3
Step-by-step explanation:
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