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vladimir2022 [97]
3 years ago
15

Estimate the sum. 10 1/9 + 5 14/15

Mathematics
1 answer:
quester [9]3 years ago
5 0

Answer:

16.04

Step-by-step explanation:

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The angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees. How much higher will the to
Sav [38]

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.

4 0
3 years ago
Which is bigger 0.25 or 0.6
AlladinOne [14]
The correct answer is 0.6 :)
5 0
3 years ago
Read 2 more answers
Consider 8x2 - 48x = -104. Write the equation so that a = 1: x^2 + __x =__
Ymorist [56]

Answer:

x² -6x = -13

Step-by-step explanation:

Divide the equation by 8, the current value of "a".

... (8x² -48x)/8 = -104/8

... x² -6x = -13

8 0
3 years ago
Read 2 more answers
The red lines on the diagram show the layout for a running event. Runners will race around the triangle-shaped grassy area. What
almond37 [142]

Answer:

Total distance = 5.754 km

Step-by-step explanation:

Red lines of the right triangle show the layout of the race course.

Total length of the race course = Perimeter of the triangle

Perimeter of the triangle = Sum of the measures of all three sides

                                         = 1.83 + 1.524 + 2.4

                                         = 5.754 km

Therefore, total distance of the race course is 5.754 km.

3 0
3 years ago
−4(3m−3)+(−10+8m)=?
Valentin [98]
-4(3m-3)+(-10+8m)
12m+12-1+8m
12m+8m = 20m
+12 -1= +11
answer: 20m+11


*note negative times a negative equals positive and negative times positive is negative 
first: you multiply -4 by 3m which is -12m.
second: you multiply -4 by -3 which is +12
third: find the invisible which is 1. (located right here: +(1) (-10+8m)
fourth: multiply invisible 1 by -10 which is -10
fifth: multiply invisible one by +8m which is +8m 
sixth: combine like terms
seventh: answer
 
5 0
3 years ago
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