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3 years ago

Find the exact value of cos(arcsin( one fourth )). For full credit, explain your reasoning. (2 points)

Mathematics

1 answer:

eimsori [14]3 years ago

8 0

Hello from MrBillDoesMath!

Answer:

sqrt(15)/4

Discussion:

The attachment shows a right triangle where arcsin(@) = 1/4. (The arcsin means find the angle whose sine is 1/4 as is done in the triangle.) The missing side, sqrt(15), shown in red, was determined by the Pythagorean theorem.

Then cos(@) = cos(arcsin(1/4)) = sqrt(15)/4

Thank you,

MrB

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What are the factors of x2 – 100?

I am Lyosha [343]

Answer:

(x-10)(x+10)

Step-by-step explanation:

Here, the given expression,

$x^2-100$

$=(x)^2-(10)^2$

By using the identity $a^2-b^2=(a+b)(a-b)$

$=(x+10)(x-10)$

$=(x-10)(x+10)$ ( By the commutative property )

Since, further factorization is not possible,

Hence, the factors of $x^2-100$ are,

$(x-10)(x+10)$

Second option is correct.

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3 years ago

the giraffe is the worlds tallest land mammal. if the scale is 1/2 inch represents 5 feet . the giraffe is 20 feet tall . how ma

Kazeer [188]

Answer:

The giraffe will be 2 inches

Step-by-step explanation:

If we know that if the scale is 1/2 inch to 5 feet we simply just have to divide the height of the giraffe by 5 feet and then multiply it by 1/2 inches. So we do...

20feet / 5 feet x 1/2 inches = 4 x 1/2inches = 2 inches

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3 years ago

Use pie=3 calculate the area of a circle with a radius of 6cm

Vitek1552 [10]

All you need to do is pi * radius squared

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3 years ago

Determine whether the data described below are qualitative or quantitative and explain why. The types of movies (drama comma com

Lana71 [14]

Answer:

C. The data are qualitative because they don't measure or count anything.

Step-by-step explanation:

Quantitative data is about numbers or counts. For example, the number of children of a couple is an example of quantitative data.

Qualitative data is about characteristics, when they don't count or measure anything. For example, if my favorite kind of movie is comedy, for example, it is an example of qualitative data. There are no counts or measurements.

So the correct answer is:

C. The data are qualitative because they don't measure or count anything.

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3 years ago

You're a manager in a company that produces rocket ships. Machine A and Machine B both produce cockpits and propulsion systems.

GalinKa [24]

Answer:

No you cannot.

Step-by-step explanation:

Let c be the amount of time it takes each machine to make 1 cockpit, and p be the amount of time it takes each machine to make 1 propulsion system.

For Machine A, we have 4 cockpits; this would take 4c time. We also have 6 propulsion systems; this would take 6p time. Together it takes 26 hours; this would give us

4c+6p=26.

For Machine B, we have 8 cockpits; this would take 8c time. We also have 12 propulsion systems; this would take 12p time. Together it takes 56 hours; this would give us

8c+12p=56

This gives us the system

$\left \{ {{4c+6p=26} \atop {8c+12p=56}} \right.$

To solve this, we want the coefficients of one of the variables to be the same. To make the coefficients of c the same, we can multiply the top equation by 2:

$\left \{ {{2(4c+6p=26)} \atop {8c+12p=56}} \right. \\\\\left \{ {{8c+12p=52} \atop {8c+12p=56}} \right.$

To cancel c, we will subtract the second equation from the first one. However, this also cancels p:

$\left \{ {{8c+12p=52} \atop {-(8c+12p=56)}} \right. \\\\0+0=-4\\0=-4$

We get a statement that is not true; thus the system has no solution, and we cannot solve for a unique amount of time.

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3 years ago

Read 2 more answers