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Alex777 [14]
3 years ago
8

PLEASE HELP ME FAST! THIS IS A SIMPLE TRIG PROBLEM BUT I SKIPPED CLASS.

Mathematics
1 answer:
NikAS [45]3 years ago
3 0

we can factor the whole thing:

(2sin(x) -1)(sin(x)+1) = 0.

Therefore, sin(x) = -1 and sin(x) = 1/2.

For the first one x = 3π/2 and the second is π/6 and 5π/6

So 3π/2, π/6 and 5π/6 are the solutions.

I do kind of have a problem with this because it doesn't mention if you should go over 360°. Otherwise, you have to add in an 2nπ into the equations like 3π/2 + 2nπ; n \in \mathbb{W}

but I don't know if that is necessary for you.

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Order the values of the differences from least to greatest. First, write the fractions as decimals. StartFraction 4 Over 5 EndFr
ddd [48]

Complete Question:

Ms. Perez's biology class grew sunflowers to learn about plants. During the first week, the average sunflower grew 3 inches. The table shows the difference from the average for three students.

Order the values of the differences from least to greatest.

Student: Raj. Difference (in.): 4/5

Student: Clara. Difference (in.): -1 1/2

Student: Jacob. Difference (in.): 0.9

Answer:

-1.5, 0.8 and 0.9

The greatest is: 0.9

By student names: Clara, Raj and Jacob

Step-by-step explanation:

See comment for complete question

Given

Differences:

\frac{4}{5}, -1\frac{1}{2}, 0.9

Required

Order from least to greatest

We have: \frac{4}{5}, -1\frac{1}{2}, 0.9

First convert fractions to decimal

\frac{4}{5} = 0.8

-1\frac{1}{2}= -1.5

-\frac{3}{4} = -0.75

So, the differences become:

0.8, -1.5, 0.9

Now arrange from least to greatest

-1.5, 0.8 and 0.9

From the above representation,

The greatest is: 0.9

By student names, we have:

Clara, Raj and Jacob

This is done by simply replacing the numbers with the student name.

See attachment for number line

7 0
3 years ago
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The base diameter and the height of a cone are both equal to x units.
HACTEHA [7]

By definition, the volume of a cone is given by:

V = (\frac{1}{3}) * (\pi) * (r ^ 2) * (h)

Where,

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h: height of the cone

Substituting values we have:

V = (\frac{1}{3}) * (\pi) * ((\frac{x}{2}) ^ 2) * (x)

Rewriting the equation we have:

V = (\frac{1}{3}) * (\pi) * (\frac{x^2}{4}) * (x)

V = (\frac{1}{12}) * (\pi) * (x ^ 3)

Answer:

An expression that represents the volume of the cone, in cubic units is:

V = (\frac{1}{12}) * (\pi) * (x ^ 3)

Note: rewrite the options again.

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4 years ago
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Geno started to evaluate 90 − (18 + −2)(−3), as shown. What should he do next?
alexira [117]

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First, you take 18 minus 2
Then you multiply 16 by -3
And take 90 minus -48
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A car can travel 530 miles on 18 gallons of gas, How many miles can the car travel on 1 gallon of
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Answer:

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How do you determine the area under a curve in calculus using integrals or the limit definition of integrals?
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Answer:

Please check the explanation.

Step-by-step explanation:

Let us consider

y = f(x)

To find the area under the curve y = f(x) between x = a and x = b, all we need is to integrate y = f(x) between the limits of a and b.

For example, the area between the curve y = x² - 4 and the x-axis on an interval [2, -2] can be calculated as:

A=\int _a^b|f\left(x\right)|dx

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\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx

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solving

\int _{-2}^2x^2dx

\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1

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Thus,

\int _{-2}^2x^2dx=\frac{16}{3}

similarly solving

\int _{-2}^24dx

\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax

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computing the boundaries

      =16

Thus,

\int _{-2}^24dx=16

Therefore, the expression becomes

A=\int _a^b|f\left(x\right)|dx=\int _{-2}^2x^2dx-\int _{-2}^24dx

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Thus, the area under a curve is -10.67 square units

The area is negative because it is below the x-axis. Please check the attached figure.

   

6 0
3 years ago
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