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3 years ago

What is the measure of angle a?

Mathematics

1 answer:

Mkey [24]3 years ago

8 0

Answer:

38°

Step-by-step explanation:

Using the Cosine rule in Δ ABC

cos A = $\frac{b^2+c^2-a^2}{2bc}$

where a, b and c are the sides of the triangle.

Here a = 5, b = 3 and c = 7 , thus

cos A = $\frac{3^2+7^2-5^2}{2(3)(7)}$ = $\frac{9+49-25}{42}$ = $\frac{33}{42}$ , thus

∠ A = $cos^{-1}$ ( $\frac{33}{42}$ ) ≈ 38°

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Anika [276]

Answer:

The probability that the maximum speed is at most 49 km/h is 0.8340.

Step-by-step explanation:

Let the random variable X be defined as the maximum speed of a moped.

The random variable X is Normally distributed with mean, μ = 46.8 km/h and standard deviation, σ = 1.75 km/h.

To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or z-score.

The formula to convert X into z-score is:

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Compute the probability that the maximum speed is at most 49 km/h as follows:

Apply continuity correction:

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4 years ago

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maxonik [38]

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2 years ago

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alexandr1967 [171]

Answer:

x = 41/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

7(1x - 3) = 4(x + 5)

Step 2: Solve for x

Simplify: 7(x - 3) = 4(x + 5)
Distribute: 7x - 21 = 4x + 20
Subtract 4x on both sides: 3x - 21 = 20
Add 21 on both sides: 3x = 41
Divide 3 on both sides: x = 41/3

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 7(1(41/3) - 3) = 4(41/3 + 5)
Multiply: 7(41/3 - 3) = 4(41/3 + 5)
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And we have our final answer!

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What is the measure of angle a?​

What is the measure of angle a?