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:
Option (3)
Step-by-step explanation:
From the picture attached,
Area of the green shaded region = Area of triangle ADC + Area of triangle ABE
Area of triangle ADC =
=
=
= 48 square units
Area of triangle ABE =
=
= 30 square units
Area of green shaded region = 48 + 30 = 78 square units
Option (3) will be the answer.
Ok. So first, we need to set up the proportion.
64/8 = x/1
Now, we can cross multiply
64*1 = 8x
64= 8x
8x/8 = 64/8
x= 64/8
Now we have to divide 64 by 8.
x=8
Our final answer: The unit rate is 8 ounces per cup.
The value a is 7.
<h3>What is Straight Line?</h3>
A line is simply an object in geometry that is characterized under zero width object that extends on both sides. A straight line is just a line with no curves.
Here, the given equation of line
y = ax -3
line passing through point (2, 11), then
11 = a X 2 - 3
11 + 3 = 2a
2a = 14
a = 7
Thus, the value a is 7.
Learn more about Straight line from:
brainly.com/question/20492082
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