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4 years ago

Which ratio in this triangle represents cos θ?

Mathematics

2 answers:

julsineya [31]4 years ago

5 0

$\cos(x) = \frac{8}{10} \\ = > \frac{8}{10} = \frac{4}{5}$
so, d)

borishaifa [10]4 years ago

4 0

D

I hope this helps and have a wonderful day filled with joy!!

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Explain how to convert numbers from standard form to scientific.

sweet [91]

Answer:

Start by moving the decimal place in the number until you have a coefficient between 1 and 10. The number of places to the left that you had to move the decimal point is the exponent. so for example, 0.000345 would be 3.45(10)^4

Step-by-step explanation:

Hope that helps!

8 0

3 years ago

Students who attend Washington Middle School are either in seventh or eighth grade. At the end of the first semester 25% of the

Irina18 [472]

Answer:

There are 1240 students who attended Washington Middle School.

Step-by-step explanation:

Given:

Students who attend Washington Middle School are either in seventh or eighth grade.

At the end of the first semester 25% of the students at Washington Middle School were on the honor roll.

Seventh graders represented 60% of the students on the honor roll.

If 124 students on the honor roll were in eighth grade.

Now, to find the students attend Washington Middle School.

Let the total number of students be $x.$

So, the students at Washington Middle School were on the honor roll:

25% of $x$

$=\frac{25}{100} \times x$

$=\frac{25x}{100}$

$=\frac{x}{4}$

As, given seventh graders represented 60% of the students.

So, the students on the honor roll represented as seventh graders:

$60\%\ of\ \frac{x}{4}$

$=\frac{60}{100} \times \frac{x}{4}$

$=0.6\times \frac{x}{4}$

$=\frac{0.6x}{4}$

As, 124 students on the honor roll were in eighth graders.

Thus,

According to question:

$\frac{x}{4} -\frac{0.6x}{4} =124$

$\frac{x-0.6x}{4} =124$

$\frac{0.4x}{4} =124$

Multiplying both sides by 4 we get:

$0.4x=496$

Dividing both sides by 0.4 we get:

$x=1240.$

Therefore, there are 1240 students who attended Washington Middle School.

6 0

4 years ago

What is the area of a circle with a radius of 15 feet?

Svet_ta [14]

Answer:

A≈706.86ft²

Step-by-step explanation:

A=πr2=π·152≈706.85835ft²

rounded two decimal places= 706.86

6 0

4 years ago

Solve for y: 7+ 2(x + y) = 11

Crank

Isolate the variable by dividing each side by factors that don't contain the variable.

y = 2 − x

3 0

3 years ago

$1100 at 8%, for 15 years, compounded annually.

ololo11 [35]

Answer:

$3489.39

Step-by-step explanation:

This question is an example of compound interest. To work this out you would first have to convert the percentage of 8% into a decimal. To do this you would divide the percentage of 8 by 100, which gives you 0.08. You would divide the percentage by 100 as percentages of a whole amount are out of 100.

The next step is to add 1 to 0.08, which gives you 1.08. This is because the question is asking to increase the amount by 8% and that as 1 is the whole amount, this means that 1.08 is 8% more than the whole amount.

Then to work out how much there will be after 15 years you would multiply the amount of 1100 by 1.08 to the power of 15, which gives you 3489.39. This is because to work out 8% would only work it out for one year however for compound interest you would need to work out 8% extra and then the next year work out the 8% of the new total.

1) Divide 8 by 100.

$8/100=0.08$

2) Add 1 to 0.08.

$1+0.08=1.08$

3) Multiply 1100 by 1.08 to the power of 15.

$1100*1.08^{15} =3489.39$

3 0

3 years ago