Answer:
<em>124.0 ft^2</em>
Step-by-step explanation:
let b = base of triangle = 7ft
h = height of triangle = 4ft
and
l = height of prism. = 8.5ft
We know,
volume of prism = area of triangular face of prizm × height of prizm
= 1/2 × b × h × l
= 1/2 × 7 × 4 × 8.5
= 7 × 2 × 8.5
= 14 × 8.5
<h2> = <u>124.0 ft^2</u></h2>
Answer:
a. 12 feet b. 12 feet 0.5 inches c. 8.33 %
Step-by-step explanation:
a. How far out horizontally on the ground will it protrude from the building?
Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.
So, by ratios rise/run = 1/12 = 12/x
1/12 = 12/x
x = 12 × 12
x = 144 inches
Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet
b. How long should the ramp be?
The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.
So, L = √(12² + 144²)
= √[12² + (12² × 12²)]
= 12√(1 + 144)
= 12√145
= 12 × 12.042
= 144.5 inches
Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches
c. What percent grade is the ramp?
The percentage grade of the ramp = rise/run × 100 %
= 12 inches/144 inches × 100 %
= 1/12 × 100 %
= 0.0833 × 100 %
= 8.33 %
Answer:
x= 13 degrees
Step-by-step explanation:
This is a 90 degree angle. We can create an equation to find x
68+x+9= 90
77+x= 90
-77 -77
x= 13 degrees
Hope this helps!
The type of numbers, rational and irrational from the numbers Keisha writes are;
a. Rational numbers; -9, 3.0, 2, and 2.42
b. Irrational numbers; √8
<h3>What is the difference between rational and irrational numbers?</h3>
Rational numbers are numbers are numbers that can be expressed as a ratio of two whole numbers P/Q, in which, <em>Q </em>≠ 0
Irrational numbers are those that cannot be expressed as a fraction P/Q
The given numbers are;
-9, √8, 3.0, 2, 2.42
- √8 = 2•√2 (√2 cannot be expressed as a fraction of two whole numbers)
a. The rational numbers are therefore;
b. The irrational number is; √8
Learn more about rational and irrational numbers here:
brainly.com/question/43641
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