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katovenus [111]
3 years ago
6

For this right triangle, find the measure of angle g. angle g = ?°

Mathematics
1 answer:
love history [14]3 years ago
6 0

The sum of the interior angles of all triangles is 180 degrees. This is a right triangle, thus we know two interior angle values (90 degrees and 29 degrees). To find the third, set the sum of all interior angle values equal to 180 and solve for g.

180 = 90 + 29 + g

Collect like terms.

180 = 119 + g

Subtract 119 from both sides.

61 = g

Find the sum using 61 for g to check work.

180 = 90 + 29 + g

180 = 90 + 29 + 61

180 = 180

Answer:

m∠g = 61°

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The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

<h3>What is trigonometric ratio?</h3>

Trigonometric ratio is used to show the relationship between the sides and angles of right angled triangle.

Let d represent the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:

Angle = 90 - 67 = 23°

Using trig ratio:

tan(23) = d/1143

d = 485.2 feet

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

Find out more on trigonometric ratio at: brainly.com/question/24349828

5 0
2 years ago
PLEASE HELP I WILL GIVE BRAINLIEST ​
kobusy [5.1K]

Answer:

If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture

Step-by-step explanation:

step 1: I am going to convert the measurements

into decimals

8/5=1.6

2/5=.4

step 2: I will use cross multiplication to find out how much pumpkin for one pound of flour

1.6=.4

 1=?

1*.4=.4/1.6=.25

step 3:  I will convert .25 into a fraction

.25=1/4

for every 1/4 pound pumpkin, I will use 1 pound of flour

which is why

If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture

6 0
2 years ago
Sam started a dog-walking business. He charges $5 for each dog for a thirty-minute walk. How much dor
solong [7]

Answer: \$10,\ \$5

Step-by-step explanation:

(a) Given

Sam charge $5 for each dog for a thirty minute walk

For an hour which is double the thirty minutes, it must be double of the same charge.

\Rightarrow 2\times 5=\$10

(b)Given

With $20, Christie sells 100 cups of lemonade with a quarter per cup charge

For 100 cup, she generate a revenue of

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7 0
3 years ago
Which logarithmic equation is equivalent to this exponential equation? <br><br> 12=5^x
Brut [27]

Given:

The equation is:

12=5^x

To find:

The logarithmic equation that is equivalent to the given exponential equation.

Solution:

According to the property of logarithm:

a=b^x\Leftrightarrow \log_b a=x

We have,

12=5^x

Here, a=12,b=5. By using the above property of logarithm, we get

\log_{5}12=x

x=\log_{5}12

Therefore, the correct option is C.

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