9514 1404 393
Answer:
72
Step-by-step explanation:
The triangles are said to be similar. (ΔNPQ ~ ΔRSQ) That means corresponding sides have the same ratio:
NP/RS = NQ/RQ = PQ/SQ = 24/32 = 21/28 = 3/4
This ratio, or scale factor, also applies to the perimeters of the two triangles.
perimeter NPQ / perimeter RSQ = 3/4
Using the given expressions for the perimeters, we have ...
(7x +2)/(10x -4) = 3/4
We can solve this equation in the usual way to find the value of x. Then we can use that value to find the perimeter of ΔNPQ.
4(7x +2) = 3(10x -4) . . . . . multiply both sides by 4(10x -4)
28x +8 = 30x -12 . . . . . eliminate parentheses
20 = 2x . . . . . . . . . . . add 12-28x to both sides
10 = x . . . . . . . . . . . divide both sides by 10
The perimeter of ΔNPQ is ...
7x +2 = 7(10) +2 = 72
The perimeter of triangle NPQ is 72 units.
Answer:
44.73 m
Step-by-step explanation:
Given that the angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees.
Using trigonometry ratio, the height of the tower can be calculated by
Tan Ø = height / base
Tan 25 = height / 120
Make height the subject of formula
Height = 120 × tan 25
Height = 55.96 m
How much higher will the tower need to be raised so that its angle of elevation from the same point will be 40 degrees?
Using the same formula to calculate the new height.
Tan 40 = new height / base
Tan 40 = new height / 120
Make the new height the subject of the formula.
New height = 120 × tan 40
New height = 100.69 m
Increase in height = new height - height
Increase in height = 100.69 - 55.96
Increase in height = 44.73m
Therefore, the tower will need 44.73m to be raised so that its angle of elevation from the same point will be 40 degrees.
Mathspapa.com ok find it there
Answer:
about 28
Step-by-step explanation:
its actually 27.8125 but if we're estimating im assuming that means to round
Answer:
152 square inches
Step-by-step Explanation:
To answer this, please look at the picture below. We can find the area by separating and combine the value of areas after calculating three values for each areas. (Notice that when we separate them, we get three rectangles which we can use the formula of width × length)
We should get 80+48+24 which add up to 152.
In case if you are confused which parts you don't understand in these photos, you can ask in the comment.
