What is 5 8/12 as a mixed number in its simplest form

Mathematics

1 answer:

Elena-2011 [213]3 years ago

6 0

Answer:

5 2/3

Step-by-step explanation:

Just keep simplifying 8/12 until you end up with 2/3

Find the GCF of both the numerator and denominator and you end up with 2/3

Just to make it clear 8/12 = 2/3

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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

At 6 AM, the temperature in Volusia, California was 46℉. By 4 PM, the temperature had risen to 57℉. What was the change in tempe

pshichka [43]

Answer:

The correct answer is 11°F.

Step-by-step explanation:

To solve this problem, we simply need to find the change in temperature. This is modeled below:

Change in temperature = final temperature - initial temperature

Change in temperature = 57 - 46 = 11

Therefore, the correct answer is 11 degrees Fahrenheit.

Hope this helps!

7 0

3 years ago

Read 2 more answers

Solve for x.<br> x+27+-12

Archy [21]

Your answer is -15..

6 0

3 years ago

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .