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Gekata [30.6K]
3 years ago
9

Is this correct? formula is displayed on image:

Mathematics
2 answers:
Len [333]3 years ago
7 0

Answer:

no it should bee

\tan( \alpha )  =  \frac{15}{8}

Damm [24]3 years ago
5 0

Answer:

x = 15

Step-by-step explanation:

The angle between a tangent and a radius at the point of contact F is 90°

Then Δ GFE is a right triangle

Using Pythagoras identity in the right triangle

x² + 8² = 17²

x² + 64 = 289 ( subtract 64 from both sides )

x² = 225 ( take the square root of both sides )

x = \sqrt{225} = 15

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Type a simplified fraction as an answer. PLEASE ANSWER ASAP!!!!
xxTIMURxx [149]

Answer:

0.06944444444 as a fraction equals 6944444444/100000000000

6 0
3 years ago
The local shelter decided to build an addition for cats hey borrowed $6300 from a local bank at a rate of 8% the high school hel
Zepler [3.9K]

Answer:

$378

Step-by-step explanation:

To find the interest that the shelter payed on this loan, we use the formula: I=Prt.

P = $6,300

r = 8% or 0.08

t = 9/12

Now we substitute the values into our formula.

I=Prt.

I=6,300(0.08*\dfrac{9}{12})

I=6,300(0.08*0.75)

I=6,300(0.06)

I=$378

So the shelter payed a total of $378 in interest to the bank.

3 0
3 years ago
Is the difference between a positive mixed number and a negative mixed number always, sometimes, or never positive?
Annette [7]
Ok It depends upon what the order of the terms might be

 

If we consider that the positive mixed number is the first term and the negative mixed number is the second term and we consider "difference" to be subtraction.....then the result is positive

 

For example

(3 + 1/2) -  [ -(1 + 1/2)] =

 

(3 +1/2) + (1 + 1/2) = 5   since subtracting a negative results in a positve

 

But....if we had the reverse order with the same operation, we would have

 

-(1 + 1/2) - (3 + 1/2)   and the result is - 5

 

Hence.......I would go with "sometimes"

 

5 0
3 years ago
Benjamin is trying to find the height of a radio antenna on the roof of a local building.
xz_007 [3.2K]

The height of the antenna on the roof of the local building is approximately 8 meters.

The situation forms a right angle triangle.

<h3>Properties of a right angle triangle:</h3>
  • One of its angles is equals to 90 degrees
  • The sides of the triangles can be calculated using Pythagoras theorem.

Therefore, let's find the height of the building and the radio antenna from the eye point.

Using trigonometric ratios,

tan 40° = opposite / adjacent

tan 40° = x / 25

where

x = the height of the building and the radio antenna from the eye point.

x = 25 tan 40

x = 25 × 0.83909963117

x = 20.9774907794 meters

Let's find the height of the building from his eye point.

tan 28° = y / 25

where

y = height of the building from his eye point

y = 25 × tan 28°

y = 25 × 0.53170943166

y = 13.2927357915 meters

Height of the antenna = 20.9774907794 - 13.2927357915 = 7.68475498786

Height of the antenna ≈ 8 meters

learn more on elevation here: brainly.com/question/17582385?referrer=searchResults

8 0
3 years ago
There are 7 girls and 10 boys taking gymnastics lessons. Write the ratio that compares the number of girls taking gymnastics les
masya89 [10]

Answer:

7:17

Step-by-step explanation:

There are 7 girls and 10 boys taking gymnastics lessons. Write the ratio that compares the number of girls taking gymnastics lessons to the total number of students taking gymnastics lessons

Total number of students taking gymnastics classes = 7 girls + 10 boys = 17 students

Hence:

the ratio that compares the number of girls taking gymnastics lessons to the total number of students taking gymnastics lessons

= 7 : 17

4 0
3 years ago
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