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WITCHER [35]
3 years ago
6

If ZFRO = 60 and RFO = 86 Find the measure of 2 FOG R Help pleaseee

Mathematics
1 answer:
tigry1 [53]3 years ago
7 0

Answer:

149°

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle

<FRO + <RFO = <FOG

60° + 86 = 146

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When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree?
oksian1 [2.3K]

Answer: 61.16 ft

Step-by-step explanation:

We can think in this situation as a triangle rectangle.

where:

The height of the tree is one cathetus

The shadow of the tree is the other cathetus.

We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.

Now we can remember the relationship:

Tg(A) = (opposite cathetus)/(adjacent cathetus)

Where:

A = 78°

Adjacent cathetus = 13ft

opposite cathetus = height of the tree = H

Then we have the equation:

Tg(78°) = H/13ft

Tg(78°)*13ft = H = 61.16 ft

4 0
3 years ago
1/8(−8c+16)−1/3(6+3c)
Art [367]

Answer:

hope this helps (look in the picture)

Step-by-step explanation:

8 0
3 years ago
David brought a variety pack of delicious donuts for his daughters Amy &amp; Anna. Amy ate 2/3 of the pack and Anna devoured 1/4
Naya [18.7K]

Answer:

12

Step-by-step explanation:

Let the total number of donuts in the pack be x.

Amy = 2/3x

Anna = 1/4x

David = 1

x - 2/3x - 1/4x = 1

Find common denominators for 2/3 and 1/4

The common denominator is 12

2/3 * 4/4 = 8/12

1/4 * 3/3 = 3/12

x - 8/12x - 3/12x = 1

x - 11/12x = 1

1/12x = 1

x = 12

You can always check

Amy = 8

Anna = 3

So David must equal to 1

Hope this helps :)

Have an awesome day!

6 0
2 years ago
Mr. and Mrs. Parker's bed is 2 1/3 yards wide. That also have 2 nightstands that are 22 inches wide. The bedroom wall is 12 1/2
vampirchik [111]
Conversions: to smallest (inches)
n= 22 inches 
b= 2 1/3 yard = 84 inches
t= 12 1/2 feet = 150 inches


total space = t
night stand = n (2n for two nightstands)
bed=b

b+2n has to be < or = to t

84+2(22)=x
84+44=128
128 is < 150

therefore the answer is yes they will fit with 22 inches left over.

3 0
3 years ago
Read 2 more answers
You receive $45 profit from a car wash after $300 in sales.<br> What percent was your profit?
kirza4 [7]

Answer:

15%

Step-by-step explanation:

Find the percent of profit by dividing 45 by 300:

45/300

= 0.15

So, the percent profit was 15%

3 0
3 years ago
Read 2 more answers
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