Answer:
D. cosine
Step-by-step explanation:
As it can be seen in the figure, the triangle ABC is a right-angled triangle with Angle C = 90 degree.
In a right angle triangle, there is a formula as following:
<em>cosine (of an acute angle) = length of adjacent side/ length of hypotenuse</em>
In the figure, the point of angle B and length of hypotenuse AB are given.
We have to calculate x - length of the given side. As BC is the adjacent side of angle B
=> we can use the above formula to calculate x
So that we can use cosine
The steeper the line is (the larger the slope), the faster the speed is. This is due to the fact that speed=distance/time and the slope=y/x which is distance over time on a distance v time graph.
let me know if you need further explanation by leaving a comment and I hope this helps.
Answer:
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Step-by-step explanation:
Answer:
x = 17
Step-by-step explanation:
Line l and m are two parallel lines cut across by the transversal line, therefore, the angle measuring 53° and (8x - 9)° are interior angles on the same side. Interior angles on the same side are supplementary.
Therefore:
53° + (8x - 9)° = 180°
Solve for x
53 + 8x - 9 = 180
Collect like terms
53 - 9 + 8x = 180
44 + 8x = 180
Subtract 44 from both sides
44 + 8x - 44 = 180 - 44
8x = 136
Divide both sides by 8
8x/8 = 136/8
x = 17
<u>Corrected Question</u>
The blueprint for the Moreno Moreno's living room has a scale of 2 inches equals 7 feet.The family wants to use a scale of 1 inch equals = 6 feet. What is the width of the living room on the new blueprint? A rectangle is labeled width = 12 inches.
Answer:
7 Inch
Step-by-step explanation:
The width of the room on the old blueprint = 12 Inches
<u>Scale on the old blueprint: </u>
2 inches = 7 feet.
Therefore: 1 Inch =7/2 feet
12 Inches =12 X 7/2 feet =42 feet
The actual width of the room is 42 feet.
<u>Scale on the new blueprint</u>
1 inch equals = 6 feet; which we can reorder as:
6 feet=1 inch
1 feet =1/6 Inch
Therefore:
42 feet = 42 x 1/6 Inch =7 Inch
Thus, the width of the living room on the new blueprint is 7 Inch.