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Alborosie
3 years ago
11

If sin x = .42, what is cos x?

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0
We\ know:\\\\\sin^2x+\cos^2x=1\to\cos^2x=1-\sin^2x\to\cos x=\sqrt{1-\sin^2x}\\\\\sin x=0.42\\subtitute\\\\\cos x=\sqrt{1-0.42^2}=\sqrt{1-0.1764}=\sqrt{0.8236}\approx0.91
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The cost of 5 gallons of ice cream has a variance of 64 with a mean of 34 dollars during the summer. What is the probability tha
andriy [413]

Answer:

Probability[(X - μ) < 1.1] = 0.6046

Step-by-step explanation:

Given:

σ² = 64

Mean μ = 34

Find:

Probability[(X - μ) < 1.1]

Computation:

Standard deviation σ = √σ²

Standard deviation σ = √64

Standard deviation σ = 8

Probability[(X - μ) < 1.1] = Probability[-1.1 < (X - μ) < 1.1]

Probability[(X - μ) < 1.1] = Probability[-1.1/(8/√38) < (X - μ) < 1.1/(8/√38)]

Using z table

Probability[(X - μ) < 1.1] = 0.6046

7 0
2 years ago
If the perimeter of an equilateral triangle is 12 inches ,what is the side length
alexandr402 [8]

Answer:

4 in.

Step-by-step explanation:

By definition of a equilateral triangle, all sides and interior angle measurements are congruent.

Essentially, all interior angles = 60°

By definition of a triangle, a triangle has 3 sides. It is given that the total measurement of the sides is 12. Divide 12 with 3: 12/3 = 4

4 inches is the side length.

~

3 0
2 years ago
Read 2 more answers
B) Raj bought $3.63 worth of raisins.<br> What was the mass in grams? Give two<br> possible answers.
Romashka [77]

Answer:

how much is 1 gram of raisins worth in money

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Uploaded the question thnx for the help
mariarad [96]
Answer : d

explanation : i did that question before
8 0
2 years ago
A tree has a circumference of 16 ft. Calculate the volume of wood it contains if the tree is 10ft tall. Round your answer to the
Veronika [31]

Answer:

Step-by-step explanation:

The circumference of the tree is the distance around the tree's circular top. The formula for determining the circumference of a circle is expressed as

Circumference = 2πr

If the tree has a circumference of 16 ft, it means that

2πr = 16

πr = 16/2 = 8

r = 8/π

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

if the tree is 10ft tall, then the volume of wood it contains is

Volume = π × (8/π)² × 10

Volume = 64/π × 10

Volume = 64/3.14 × 10

Volume = 204 cubic feet

7 0
3 years ago
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