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3 years ago

What is the area of this parallelogram?

Mathematics

1 answer:

Leokris [45]3 years ago

5 0

Answer:

28 in²

Step-by-step explanation:

Area Parallelogram = b x h

Area Parallelogram = 4in x 7in

Area Parallelogram = 28 in²

-Chetan K

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I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on

lisov135 [29]

Hi there!

What we need to know:

The three main trigonometric ratios are sine, cosine and tangent:

$\displaystyle sin\theta=\frac{opposite}{hypotenuse}$ $\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$ $\displaystyle tan\theta=\frac{opposite}{adjacent}$

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

First question

For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

$\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$

Plug in the given information:

$\displaystyle cos56=\frac{a}{13}$

Isolate a by multiplying both sides by 13:

$13\displaystyle cos56=a$

Solve using a calculator:

$a=7.3$

Therefore, a is equal to 7.3 when rounded to 1 decimal place.

Other information you will need to know:

In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:

$\displaystyle sin\theta=\frac{5}{8}$

In this case, we will use the inverse sine ratio:

$\displaystyle \theta=sin^-^1(\frac{5}{8})$

Solve using a calculator:

$\displaystyle \theta=39$

Therefore, the angle would equal approximately 39 degrees.

I hope this helps!

3 0

2 years ago

Please help me with this.

scoundrel [369]

Answer:

12.4

Step-by-step explanation:

do 9x11 (the cross)

then divide that by 8, so 99/8

that equals 12.375 which rounded to the nearest tenth is 12.4

4 0

2 years ago

The farmer looks out in the barnyard and Cesar pigs and the chickens. He says to his daughter, “ I count 40 heads in 100 feet. H

notsponge [240]

Answer:

There are 10 pigs and 30 chickens

Step-by-step explanation:

Let the number of pigs be x

let the number of chickens be y

Then there are 40 heads . So the total number of pigs and chickens is 40

x + y = 40-----------------------(1)

We know that pigs have 4 legs and chickens have 2 legs

4x + 2y = 100----------------------(2)

Solving (1) and (2)

multiply (1) by 2

2x + 2y = 80-------------------------(3)

subtract (3) from (2)

4x + 2y = 100

2x + 2y = 80

----------------------------

2x = 20

----------------------------

$x = \frac{20}{2}$

x = 10

Now Substituting x in (1), we get

10 + y = 40

y = 40 - 10

y = 30

7 0

3 years ago

Pam bought a pair of shoes on sale for $22.40. If this was 20%. Off the original price, find the original price of the shoes

Rus_ich [418]

Answer:

26.88

Step-by-step explanation:

20%*22.40=4.48

22.40+4.48=26.88

3 0

2 years ago

A student is attempting to factor a polynomial. Sample mathematical work is shown below. Which statement best applies to the sam

Vladimir [108]

The choices are:

A. The student identified the greatest common factor incorrectly.
B. The student incorrectly divided each term by the greatest common factor.
C. The student failed to simplify the expression.
D. The mathematical work shown is correct.

I think the correct answer from the choices is option D. The mathematical work shown is correct. Hope this answers the question. Have a nice day.

4 0

3 years ago