Answer: x = 9.6
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Explanation:
We have two smaller right triangles that are glued together so to speak.
The base of the smaller triangle on the left is 5 while the height is h.
Let's use the tangent rule to find the value of h
tan(angle) = opposite/adjacent
tan(55) = h/5
5*tan(55) = h
h = 5*tan(55)
h = 7.14074003371058
Make sure your calculator is in degree mode. That value of h above is approximate.
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Now focus on the smaller triangle on the right
It has the same height value h. This side is the adjacent side while x is the hypotenuse.
We'll use the cosine ratio
cos(angle) = adjacent/hypotenuse
cos(42) = h/x
cos(42) = 7.14074003371058/x
x*cos(42) = 7.14074003371058
x = 7.14074003371058/cos(42)
x = 9.6088135029715
x = 9.6
Slope intercept form is y=mx+b.
slope: -4
y-intercept: 2
Therefore, y=-4x+2 is the slope intercept form of y=10-(4x+8). I hope this helped! Please 5 star this!
Answer:
65.312 inches
326.56 inches
1959.36 inches
Step-by-step explanation:
Given
d = 20.8 inches
To find
Travel in 1, 5, 30 rotations
Solution
Circumference of the wheel is equal to one full rotation
C = πd = 3.14*20.8 = 65.312 inches
5C = 5*65.312 = 326.56 inches
30C = 30*65.312 = 1959.36 inches
Step-by-step explanation:
We are asked to find for an expression that represents the perimeter of a picture frame which has a shape of a rectangle. The dimensions given are length of size x cm and a width of size 9 cm.
The formula for the Perimeter of a rectangle is given by
P=2L+2W
where L is the length and W is the width of the rectangle.
Hence,
P=2(x)+2(9)
Simplifying this values would give us a result of,
P=2x+18
Therefore, 2x+18 is the expression that represent the perimeter of the picture frame.
Answer:
The sun is about 390 times farther than earth is from the moon
Step-by-step explanation:
It's kind of hard to understand the question but it's essentially asking how many times farther earth is from the sun than earth is from the Moon. Or basically measure the distance from the earth to the moon. Then show how much bigger the distance from the Earth to the Sun is by comparing it from the earth to the moon. To do this you divide the distance of moon by the distance of the sun to get how many times you could you could fit the distance between the Earth and The Moon from the Earth to the Sun.
