Answer:
8
Step-by-step explanation:
7779.949783~7779.94978
<span> 2x - 2y = 8
2y = 2x - 8
y = x - 4
answer
</span>slope-intercept form: y = x - 4
Problem 10
<h3>Answer: approximately 57.39159 km</h3>
Explanation: You'll use the equation cos(28) = d/65 to solve for d to get d = 65*cos(28) = 57.39159 approximately. We use the cosine ratio because it ties together the adjacent and hypotenuse.
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Problem 11
<h3>Answer: approximately 10.46162 meters </h3>
Explanation: This time we use the sine rule. We have the height as the opposite side (which is unknown, call it x) and the hypotenuse is the ladders length (11). So we have sin(72) = x/11 which solves to x = 11*sin(72) = 10.46162
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Problem 12
<h3>Answer: approximately 16.05724 cm</h3>
Explanation: Now we use the tangent rule to connect the opposite and adjacent sides.
tan(37) = 12.1/x
x*tan(37) = 12.1
x = 12.1/tan(37)
x = 16.05724 approximately
2.6 - 1.3 <span>≈ 1.3 .
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Answer:
69.73 (units)
Step-by-step explanation:
Let's find the volume of the prism first.
Prism:
The dimensions of this prism are 6 x 5 x 4.
The formula to calculate the volume of this prism is b * h
b = 24 (6*4)
h = 5
V = 24 * 5
V = 120
Now we need to find the volume of the hole so that we can subtract it from the volume of the prism.
Cylinder:
The hole is a cylinder, with a height of 4 and a radius of 2.
The formula for finding the volume of a cylinder is πr^2 * h
r = 2
h = 4
V = (π * 2^2) * 4
V = 50.27
Now, subtract the volume of the cylinder from the volume of the prism:
120 - 50.27 = 69.73
And that is your answer!
Hope this helps!
