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irinina [24]
2 years ago
12

Write the ratio 2/3 to 8 as a fraction in simplest form

Mathematics
1 answer:
spayn [35]2 years ago
7 0
<span>2/3 to 8 
is the same ratio if we multiply both 'sides' by 3/2 

2/3 x 3/2 = 1 
8 x 3/2 = 12 
So, 1 to 12</span>
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Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle
kupik [55]

Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Step-by-step explanation:

The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

8 0
3 years ago
What is the image of (-4,8) after a dilation by a scale factor of 2 centered at the<br> origin?
Gala2k [10]
The answer is (-8, 16)

a scale factor of 2 will enlarge the image. all you need to do is multiply the x and y by 2.
8 0
2 years ago
Matt earned $28,500 last year. He paid $8,265 for rent. What percent of his earnings did Matt pay for rent ?
Katena32 [7]

Answer: 29%

Step-by-step explanation:

You need to divide the rent, 8265, by the amount of money he earns.

8265/28500 is .29

Multiply that by 100 to get it in percent form

5 0
2 years ago
Help me!!! the question is in the attachment
pentagon [3]
√300 = √100.√3 = 10.√3 and √3 is approx 1.732 therefore 10*1.732= 17.32.

therefore the integers it's between are 16 and 17
4 0
3 years ago
Identify all the sets to which the number 0.41567. . . . belongs. Choose from rational, irrational, whole, and integer.
Shkiper50 [21]
It will belong only irrational. Hope it help!
6 0
3 years ago
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