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2 years ago

Find m∠I. Put the answer below. m∠I =

Mathematics

1 answer:

eimsori [14]2 years ago

7 0

Answer:

∠ I ≈ 24°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanI = $\frac{opposite}{adjacent}$ = $\frac{GH}{GI}$ = $\frac{4}{9}$ , then

∠ I = $tan^{-1}$ ( $\frac{4}{9}$ ) ≈ 24°

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Beth gets a sum of 5 when she rolls two fair number cubes. What is the probability that one of the fair number cubes is a 1?

ira [324]

Using it's concept, it is found that there is a 0.5 = 50% probability that one of the fair number cubes is a 1.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

The outcomes of the pair of cubes that result in a sum of 5 are as follows:

(1,4), (2,3), (3,2), (4,1).

Of those 4 outcomes, 2 involve a number 1, hence the probability is given by:

p = 2/4 = 0.5.

More can be learned about probabilities at brainly.com/question/14398287

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1 year ago

1. Find the time required for an investment of $1000 to grow to $5000 at an interest rate of 8%

Tju [1.3M]

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3 years ago

Read 2 more answers

There are 205 coins in a jar all of which are either nickles or quarters . The vaule of the coin in the jar is $31.85. if both o

Gnesinka [82]

Answer: There are 97 nickels and 108 quarters.

Step-by-step explanation:

Let x = Number of nickels, y = Number of quarters.

As per given,

x+y = 205 ...(i)

0.05x+0.25y = 31.85 ... (ii) [1 nickel = $0.05, 1 quarter = $ 0.25]

Multiply (ii) by 20, we get

x+5y=637 ...(iii)

Eliminate (i) from (iii)

4y = 432

⇒ y = 108 [Divide both sides by 4]

Put value of y in (i), we get

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2 years ago

Solve each equation by completing the square <br> 6) m² + 16m – 8 = 0

Natali5045456 [20]

Answer:

m = - 8 ± 6 $\sqrt{2}$

Step-by-step explanation:

Given

m² + 16m - 8 = 0 ( add 8 to both sides )

m² + 16m = 8

To complete the square

add ( half the coefficient of the m- term )² to both sides

m² + 2(8)m + 64 = 8 + 64

(m + 8)² = 72 ( take the square root of both sides )

m + 8 = ± $\sqrt{72}$ = ± $\sqrt{36(2)}$ = ± 6 $\sqrt{2}$

Subtract 8 from both sides

m = - 8 ± 6 $\sqrt{2}$

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3 years ago

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Tamiku [17]

The answer is b
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3 years ago