Answer:
4.3
Step-by-step explanation:
length = 6 feet
width = 3 feet
height = 5 feet
Volume of rectangular prism = length × width × height
= (6 × 3 × 5) feet
= 90 cubic feet
cylinder of peanuts has a diameter of 7 feet and a height of 10 feet
Volume of a cyclinder = πr^2h
π = 3.14
r = diameter / 2
= 7/2 = 3.5 feet
h =10 feet
Volume of a cyclinder = πr^2h
= 3.14 × (3.5)^3 × 10
= 3.14 × 12.25 × 10
= 384.65 cubic feet
How many rectangular prisms contain the same amount of peanuts as one cylinder container = volume of cylinder container / volume of rectangular prism container
= 384.65 / 90
= 4.274
To the nearest tenth = 4.3
Answer:
Step-by-step explanation:
<u>Step 1: Find the equation
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Answer:
Answer:
96
Step-by-step explanation:
3 floors:
3x16= 48windows per building
2 buildings
2x48=96 windows
<u><em>Answer:</em></u>
x = 25
y = 14
<u><em>Explanation:</em></u>
The described scenario can be represented using the attached triangle.
<u>1- getting the value of x:</u>
We know that ΔABC is an isosceles triangle with AC = BC
<u>This means that:</u>
∠CAB = ∠CBA
We know that ∠CAB = 50° and ∠CBA = 2x°
<u>Equating the two angles, we get:</u>
50 = 2x .................> Divide both sides by 2
x = 25
<u>2- getting the value of y:</u>
We know that the sum of the internal angles of a triangle is 180°
<u>This means that:</u>
∠ABC + ∠CAB + ∠ACB = 180°
<u>We have:</u>
∠ABC = 2x = 50°
∠ACB = 5y + 10
∠CAB = 50°
<u>Now, we substitute to get the value of y as follows:</u>
50 + 50 + 5y + 10 = 180
110 + 5y = 180
5y = 180 - 110
5y = 70 .............> Divide both sides by 5
y = 14
Hope this helps :)
Prime x² + 25 is prime (unfactorable).
Here's what the other options come out to:
(x + 5)(x + 5) = x² + 10x + 25
(x + 5)(x − 5) = x² − 25
(x − 5)(x − 5) = x² − 10x + 25