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3 years ago

What is the area of this trapezoid?

Mathematics

2 answers:

andre [41]3 years ago

5 0

Answer:

168in2

Step-by-step explanation:

I hope this helps...

sashaice [31]3 years ago

3 0

Answer:

A = 192 in²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 12, b₁ = AB = 14 and b₂ = DC = 2 + 14 + 2 = 18, then

A = $\frac{1}{2}$ × 12 × (14 + 18) = 6 × 32 = 192 in²

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The area of a rectangle is 294.4 sq.cm. The length of one side is 16cm. What is the perimeter?

Shkiper50 [21]

the perimeter is 68.8cm

Ok so because this is a rectangle the line directly across (paralell) is equal, so if one line is 16cm, the line parallel to that will also be 16. Then the formula for area is LxW we'd plug in the numbers we know to get 294.4 $cm^{2}$ =16 x W

then we divide 16 by both sides to make it even to get 18.4cm=W. Now we just plug everything in to the perimeter by doing 16 x 2 + 18.4 x 2 to get

6 0

3 years ago

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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

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3 years ago

Math problem plz help me

notsponge [240]

I believe the answer is B

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3 years ago

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A total of $6000 was invested, part of it at 3% interest and the remainder at 8%. If the total yearly interest amounted to $380,

Nastasia [14]

$ 2000 is invested at 3 % interest and $ 4000 is invested at 8 % interest

Solution:

Given that, total of $6000 was invested

Let "x" be the amount invested at 3 % interest

Then, (6000 - x) is the amount invested at 8 % interest

Given that,

The total yearly interest amounted to $380

Then, we can frame a equation as:

$x \times 3 \% + (6000 - x) \times 8 \% = 380$

Solve the above expression for "x"

$x \times \frac{3}{100} + (6000-x) \times \frac{8}{100} = 380\\\\0.03x + (6000-x) \times 0.08 = 380\\\\0.03x + 480 - 0.08x = 380\\\\-0.05x = -100\\\\\text{Divide both sides by -0.05 }\\\\x = 2000$

Thus, $ 2000 is invested at 3 % interest

(6000 - x) = 6000 - 2000 = 4000

$ 4000 is invested at 8 % interest

4 0

4 years ago

The following scatter plot shows the data for NCAA quarterbacks comparing their attempted passes to completed passes.

Elanso [62]

The line of the best fit is shown in the picture which is approximate near the dots.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

The slope and y-intercept can be found using the formula below:

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We have a given a scatter plot shows the data for NCAA quarterbacks comparing their attempted passes to completed passes.

We can draw a line of best fit y = mx + c

Thus, the line of the best fit is shown in the picture which is approximate near the dots.

Learn more about the line of best fit here:

brainly.com/question/14279419

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2 years ago