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4 years ago

Explain the steps you used to solve it

Mathematics

1 answer:

Reil [10]4 years ago

6 0

0.056 = 56 * 0.001

-0.004 = -4 * 0.001

Then

0.056 / (-0.004) = 56 / (-4)

because the common factor 0.001 cancels.

Next, 56 = 28 * 4, and 4/(-4) = -1. So

0.056 / (-0.004) = 56 / (-4)

... = (28 * 4) / (-4)

... = 28 * (-1)

... = -28

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The base of a triangle is 4 meters shorter than the height. What are the height and length of the triangle if its area is 48 squ

Sergeeva-Olga [200]

Answer: H=12 and B=8

Looking at the problem, you are given the area, a , and told the h is 4 meters longer than b; in other words, h=b+4.

Since a=1/2bh, you can replace a with 48. Also, since h is b+4, you can replace that as well. You'd end up with this equation:

48=1/2b(b+4)

1. Seeing that 48 is 1/2 of b, you know that you have twice the value of 48, or 96. So, you can put that 96=b(b+4).

2. Now, thinking through factors of 96- 1 x 96, 2 x 48, 3 x 32, 4 x 24, 6 x 16, or 8 x 12, the only pair in which h is b+4 is 12 x 8.

Hope this helps,

Lacia :))

8 0

3 years ago

Charlie is standing 45 feet from the base of 100 foot tall tree. What is the angle of elevation from him to the kite stuck on to

galben [10]

Hey. Let me help you on this one.

In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.

I drew a quick graph for you to easier understand this question. As you can see, Charlie is standing below the tree 45 feet from it, and we need to find the unknown angle measure.

Let's form a SOHCAHTOA function which you have probably already learned in your Geometry course.

First of all let's identify our sides. The side opposite of the right triangle is a Hypotenuse, and the side that's 45 feet is adjacent, since it's adjacent to the unknown angle.

We know that we need to use $Cos$ (Cosine) with negative power to it in order to solve this question, since we are looking for the unknown angle measure.

Let's form the function which $Cos$ , Hypotenuse, and Adjacent side.

$Cos^{-1} =45/100$

Now, let's solve the left part of this function

$
Cos^{-1} =0.45$

Awesome. You will need to use your calculator for this part. Find the value of 0.45 when negative Cosine is used on it.

$Cos^{-1} =0.45$
$63.25631605$

Awesome. Let's round this number to the closest tenth

$63.3$ is the rounded value we have discussed below.

Answer: 63.3 degrees is the unknown measure of the angle

5 0

3 years ago

Find a solution of inequality 2x+y<10

Vitek1552 [10]

Option C:

The solution of inequality 2x + y < 10 is (5, –3).

Solution:

Given inequality is 2x + y < 10.

Lets substitute the given points in the inequality and find the solution.

Option A: (6, –1)

2(6) + (–1) < 10

12 – 1 < 10

11 < 10

This is false because 11 > 10.

Therefore (6, –1) is not the solution of the inequality.

Option B: (1, 10)

2(1) + (10) < 10

2 + 10 < 10

12 < 10

This is false because 12 > 10.

Therefore (1, 10) is not the solution of the inequality.

Option C: (5, –3)

2(5) + (–3) < 10

10 – 3 < 10

7 < 10

This is true.

Therefore (5, –3) is the solution of the inequality.

Option D: (5, 5)

2(5) + (5) < 10

10 + 5 < 10

15 < 10

This is false because 15 > 10.

Therefore (5, 5) is not the solution of the inequality.

Hence Option C is the correct answer.

The solution of inequality 2x + y < 10 is (5, –3).

7 0

3 years ago

3. Tom, Sam and Matt are counting drum beats.

just olya [345]

Answer:

When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

10 = 2*5

12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

6 0

3 years ago

30pts to brainlyest

snow_tiger [21]

I believe your answer is C, because Y (payment after taxes) is x (what he recieved the first time) minus taxes (0.18%) Hope this helped!

8 0

4 years ago