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>
Hi There!
Dori leaves her house at 12pm.
50 steps per minute until 12:20pm.
Dori has a 20 minute advantage over Malory, find the amount of steps she is ahead by,
12 - 12:20pm. steps = 20 minutes = 20 x 50 = 1000 steps
Malory leaves her house at 12:20pm.
Walks 90 steps per minute.
12:20 - 12:30 pm. = 10 minutes = 10 x 90 = 900
Dori 12:20 - 12:30pm. = 10 minutes = 10 x 50 = 500
500 + 1000 = 1500
Mallory 12:30 - 12:40 = 10 minutes = 10 x 90 = 900
900 + 900 = 1800
Dori 12:30 - 12:45pm. = 15 minutes = 15 x 50 = 500
1750 + 500 = 2250
Mallory 12:40 - 12:45pm. = 5 minutes = 10 x 90 = 900
450 + 1800 = 2250
Answer: they have the same number steps at 12:45 p.m.
Hope This Helps :)
Answer:
x = -3
Step-by-step explanation:
Step 1: Write out equation
6 - 4x = 6x - 8x + 12
Step 2: Combine like terms (x)
6 - 4x = -2x + 12
Step 3: Add 4x on both sides
6 = 2x + 12
Step 4: Subtract 12 on both sides
-6 = 2x
Step 5: Divide both sides by 2
-3 = x
Step 6: Rewrite
x = -3
<h3>Answers:</h3><h3>x = 1 or x = 16</h3>
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Work Shown:
Draw out a rectangle that is 32 units wide horizontally and 8 units tall vertically.
Then draw out another rectangle that is 4 meters wide horizontally and x meters tall vertically.
The horizontal and vertical sides pair up to form these fractions: 32/4 and 8/x
Set the fractions equal to one another. Solve for x
32/4 = 8/x
32x = 8*4 ... cross multiply
32x = 32
x = 32/32 ... divide both sides by 32
x = 1
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Somewhere else on your paper, draw the same 32 by 8 rectangle to make 32 the horizontal component
Next to this rectangle, draw a rectangle that has x as the horizontal part and 4 as the vertical. Note the swap here.
We now have this equation to solve for
32/x = 8/4
once again, note the swap
Let's solve for x
32/x = 8/4
32*4 = 8*x
128 = 8x
8x = 128
x = 128/8
x = 16
