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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:

butalik [34]2 years ago

6 0

Answer:

c.) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°

Step-by-step explanation:

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

What are the measures of the angles in triangle ABC?

a.) m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°

b.) m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°

c.) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°

d.) m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°

natita [175]2 years ago

4 0

⁻⁻Using Sine ratio: opposite / Hypotenuse

Opposite to angle A = 24, Hypotenuse = 25

Sin A = 24 / 25

Sin A = 0.96

A = Sin⁻¹(0.96) Use a calculator.

A ≈73.74°

A ≈ 73.7°

∠A + ∠B = 90° Since it is a right angled triangle.

∠B = 90° - ∠A

∠B = 90° - 73.7°

∠B = 16.3°

Answer:

(c.) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C = 90°

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vekshin1

Answer:

- 23

Step-by-step explanation:

We could do this the long way and expand the whole product or note that the $a^{4}$ terms arise from the product of the a³ and a terms and the product of the a² and a² terms, that is

4a³ × 3a = 12 $a^{4}$

+ 5a² × - 7a² = - 35 $a^{4}$

Summing gives

12 $a^{4}$ - 35 $a^{4}$ = - 23 $a^{4}$

with coefficient - 23

5 0

2 years ago

Read 2 more answers

4C. Quintin is using the three different shaped

Sauron [17]

The smallest number of tiles Quintin will need in order to tile his floor is 20

The given parameters;

number of different shapes of tiles available = 3

number of each shape = 5

area of each square shape tiles, A = 2000 cm²

length of the floor, L = 10 m = 1000 cm

width of the floor, W = 6 m = 600 cm

To find:

the smallest number of tiles Quintin will need in order to tile his floor

Among the three different shapes available, total area of one is calculated as;

$A_{one \ square \ type} = 5 \times 2000 \ cm^2 = 10,000 \ cm^2$

Area of the floor is calculated as;

$A_{floor} = 1000 \ cm \times 600 \ cm = 600,000 \ cm^2$

The maximum number tiles needed (this will be possible if only one shape type is used)

$maximum \ number= \frac{Area \ of \ floor}{total \ area \ of \ one \ shape \ type} \\\\maximum \ number= \frac{600,000 \ cm^2}{10,000 \ cm^2} \\\\maximum \ number= 60$

When all the three different shape types are used we can get the smallest number of tiles needed.

The minimum or smallest number of tiles needed (this will be possible if all the 3 different shapes are used)

$3 \times \ smallest \ number = 60\\\\smallest \ number = \frac{60}{3} \\\\smallest \ number = 20$

Thus, the smallest number of tiles Quintin will need in order to tile his floor is 20

Learn more here: brainly.com/question/13877427

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2 years ago

Explain why there are two sine ratios, two cosine ratios, and two tangent ratios for any right triangle

taurus [48]

Each angle has a sin, cos, and tan associated with it.
in a right angled triangle there are two other angles which each have ratios.

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2 years ago

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An insurance company sells an auto insurance policy that covers losses incurred by a policyholder, subject to a deductible of 10

Marrrta [24]

Answer:

Option E - 1000

Step-by-step explanation:

Let X stand for actual losses incurred.

Given that X follows an exponential distribution with mean 300,

To find the 95-th percentile of all claims that exceed 100.

In other words,

0.95 = Pr (100 < x < p95 ) / P(X > 100)

= Fx( P95) − Fx(100 ) / 1− Fx (100)

, where Fx is the cumulative distribution function of X

since, Fx(x) = 1 - e^ (-x/300)

0.95 = 1 - e^ (-P95/300) - [ 1 - e^ ( -100/300) ] / 1 - [ 1 - e^ ( -100/300) ]

= e^ ( -1/3 ) - e^ ( - P95//300) / e^(-1/3)

= 1 - e^1/3 e^ (-P95/300)

The solution is given by , e^ ( - P95/300) = 0.05e^(-1/3)

P95 = -300 ln ( 0.05e^(-1/3) )

= 999

= 1000

8 0

2 years ago

Sanjeet paid $32.85 for a file and 3 identical pens.Leon paid $83.50 for 2 such files and 8 such pens.Find the cost of 1 pen.

olga2289 [7]

1 file + 3 pens = $32.85 --------------- (1)
2 files + 8 pens = $83.50 ----------------(2)

(1) x 2 :
2 files + 6 pens = $65.70 ----------------(1a)

(2) - (1a) :
2 pens = $17.80
1 pen = $8.90

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Answer: One pen costs $8.90.
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5 0

2 years ago