Answer:
38 m^3
Step-by-step explanation:
The shape of the shed is a prism.
volume = area of base * height
The base of the prism is the front face of the shed. The height of the prism is the 2 m distance between the front base and the back base.
area of base = area of rectangle + area of triangle
The front base consists of a rectangle with length 5 m and width 3 m and a triangle with base 5 m and height 1.6 m
area of base = LW + (1/2)bh
area of base = (5 m)(3 m) + (1/2)(5 m)(1.6 m)
area of base = 15 m^2 + 4 m^2
area of base = 19 m^2
height of prism = 2 m
volume = area of base * height
volume = 19 m^2 * 2 m
volume = 38 m^3
Answer:
(x-5) (x+4)
Step-by-step explanation:
x^2 - X-20
Factor
What two numbers multiply to -20 and add to -1
-5*4 = -20
-5+4 = -1
(x-5) (x+4)
Answer:
t = 0.35 seconds
Step-by-step explanation:
We have given the equation:
d=1/2gt²
where,
g = 9.8 m/s²
d = 0.6 m
t = ?
Now put the values in the given formula:
d*2/g = t²
0.6*2/9.8 = t²
1.2/9.8 = t²
0.12245 = t²
Now find the square root of both sides
√t² = √0.12245
t = 0.35 seconds
It can be deduced that the price of the trick cameras will be $5 and the price of the snakes will be $6.25.
Based on the information given, the equation to solve the question will be:
3x + 4y = 40 ...... i
7x + 8y = 85 ...... ii
Multiply equation i by 7
Multiply equation ii by 3
21x + 28y = 280
21x + 24y = 255
Subtract the equations
4y = 25
y = 25/4 = 6.25
Since 3x + 4y = 40
3x + 4(6.25) = 40
3x + 25 = 40
3x = 40 - 25.
3x = 15
x = 15/3 = 5
Therefore, the price of the trick cameras will be $5 and the price of the snakes will be $6.25.
Read related link on:
brainly.com/question/25771535
The measure of angle 4 is equal to the sum of the measures of the two nonadjacent interior angles because the angle 4 is exterior to the given interior angles.
<h3>Exterior angles of a triangle</h3>
The sum of interior angles is equal to the exterior. From the given figure;
Interior angles are 25 degrees and 52 degrees.
The measure of angle 4 is equal to the sum of the measures of the two nonadjacent interior angles because the angle 4 is exterior to the given interior angles.
2) <4 = 25 + 52
<4 = 77 degrees
Hence the measure of angle 4 is 77 degrees
Learn more on exterior angles here: brainly.com/question/2546141
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