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2 years ago

A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.

Mathematics

2 answers:

ikadub [295]2 years ago

7 0

Answer:

(C)

Step-by-step explanation:

It is given that a right triangle, ACB which is right angled at C has BC = 24 inches, and AB = 25 inches.

We know that m∠C=90°,

Using the trigonometry in ΔACB, we have

$sinB=\frac{AC}{AB}$

Substituting the given values, we get

⇒ $sinB=\frac{24}{25}$

⇒ $B=sin^{-1}(0.96)$

⇒ $B=73.7^{\circ}$

Also, $sinA=\frac{CB}{AB}$

Substituting the given values, we get

⇒ $sinA=\frac{7}{25}$

⇒ $A=sin^{-1}(0.28)$

⇒ $A=16.3^{\circ}$

Therefore, the measure of the angles in triangle ABC are m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°.

Thus, option C is correct.

rusak2 [61]2 years ago

3 0

m∠A =73.7°
m∠B = 16.3°
m∠C = 90°

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Trina examined the equation below and said that the equation has exactly one solution. Negative 8 (x minus 4) + 2 x = negative 4

shutvik [7]

Answer

The answer is C. Trina is not correct because the two sides of the equation are equivalent.

Step-by-step explanation:

1. solve for x

-8(x - 4) + 2x = -4(x - 8) -2x

-8x + 32 + 2x = -4x + 32 -2x

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This equation has infinite solutions, any rational number fits as solution for x in this equation. And as we can see both sides of it are equivalent.

Therefore, the correct answer is C. Trina is not correct because the two sides of the equation are equivalent.

Hope This Helps :p

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2 years ago

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julsineya [31]

x= A ticket
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10x+60y=6000
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10x+60y=6000
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2 years ago

Alex bought a new easy chair for $399. She bought it on the '12 months is the same as cash' plan. The contract stated that if no

jek_recluse [69]

Answer:

$ 454.86 : $33.25

Step-by-step explanation:

Alex bought the new easy chair for $ 399 .

If she pays the amount in 13th month. So, she has to pay the interest of 1 month too , which is, = $ $\frac {399 \times 14}{100}$

= $ 55.86

So, total amount she has to pay for the chair,

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= $ (399 + 55.86)

= $ 454.86 (answer)

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2 years ago

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Rus_ich [418]

Answer:

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Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 12.6, \sigma = 2.5$