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3 years ago

In ΔGHI, the measure of ∠I=90°, GH = 96 feet, and IG = 25 feet. Find the measure of ∠H to the nearest tenth of a degree.

Mathematics

2 answers:

vladimir1956 [14]3 years ago

7 0

Answer:

15.1°

Step-by-step explanation:

In ΔGHI, the measure of ∠I=90°, GH = 96 feet, and IG = 25 feet. Find the measure of ∠H to the nearest tenth of a degree.

We solve using sine rule

GH/sin I = lG/ sin H

96/sin 90 = 25/sin H

Cross Multiply

sin 90 × 25 = sin H × 96

sin H => sin 90 × 25/96

H => arc sin( sin 90 × 25/96)

H => 15.09479°

Approximately ∠H = 15.1°

masha68 [24]3 years ago

4 0

Answer:

15.1

Step-by-step explanation:

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rjkz [21]

Answer:

\mu = 14.5\\

\sigma = 5.071\\

k = 1.084

Step-by-step explanation:

given that a statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20.

i.e. his findings with respect to probability are

$P(9$

Recall Chebyshev's inequality that

$P(|X-\mu |\geq k\sigma )\leq {\frac {1}{k^{2}}}\\P(|X-\mu |\leq k\sigma )\geq 1-{\frac {1}{k^{2}}}\\$

Comparing with the Ii equation which is appropriate here we find that

$\mu =14.5$

Next what we find is

$k\sigma = 5.5\\1-\frac{1}{k^2} =0.15\\\frac{1}{k^2}=0.85\\k=1.084\\1.084 (\sigma) = 5.5\\\sigma = 5.071$

Thus from the given information we find that

$\mu = 14.5\\\sigma = 5.071\\k = 1.084$

5 0

3 years ago

Fareed wants to add 1/4 +5/8 Add the fractions by using the giant one to create a common denominator

saul85 [17]

Hi!

This question is about math.

$\frac{1}{4}+\frac{5}{8}$

Least Common Factor 4 or 8: 8

Factors of 4 : 1, 2, 4 (prime factorization) (2*2)

Factors of 8: 1, 2, 4, 8 (prime factorization) (2*2*2)

Least Common Factor of a,b is the smallest positive number that divisible by both a and b.

Multiply each factor the greatest number of times it occurs in either 4 or 8.

Then multiply by the numbers.

$2*2*2$

$=8$

Multiply each numerator by the same amount needed to multiply its corresponding denominator to turn it into the Least Common Factor of 8.

For 1/4 multiply the denominator and numerator by the 2.

$\frac{1}{4}=\frac{1*2}{4*2}=\frac{2}{8}$

$\frac{2}{8}+\frac{5}{8}$

Since the denominator are equal, combine the fractions.

$\frac{2+5}{8}$

Add the numbers 2+5=7

$=\frac{7}{8}$

Hope this helps! Thank you for posting your question at here on Brainly. Have a great day.

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3 years ago

For the partially complete factorization, find the other binomial which will complete the factorization n^2-8n-20=(n+2)(_____)

Otrada [13]

Answer:

(n-10)

Step-by-step explanation:

Jdjdjdhbejdudjkdff

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2 years ago

Find the annual rate of interest. Principal = 4600 rupees Period = 5 years Total amount = 6440 rupees Annual rate of interest =

Semmy [17]

Answer:

The rate of interest for compounded annually is 6.96 % .

Step-by-step explanation:

Given as :

The principal amount = Rs 4600

The time period = 5 years

The amount after 5 years = Rs 6440

Let The rate of interest = R %

From compounded method

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm Time}$

or, Rs 6440 = Rs 4600 × $(1+\dfrac{\textrm R}{100})^{\textrm 5}$

Or, $\frac{6440}{4600}$ = $(1+\dfrac{\textrm R}{100})^{\textrm 5}$

or, 1.4 = $(1+\dfrac{\textrm R}{100})^{\textrm 5}$

Or, $(1.4)^{\frac{1}{5}}$ = 1 + $\dfrac{R}{100}$

or, 1.0696 = 1 + $\dfrac{R}{100}$

or, $\dfrac{R}{100}$ = 1.0696 - 1

Or, $\dfrac{R}{100}$ = 0.0696

∴ R = 0.0696 × 100

I.e R = 6.96

Hence The rate of interest for compounded annually is 6.96 % . Answer

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3 years ago

Plz help me I have know clue

masya89 [10]

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