All categories

3 years ago

Need some math help please!

Mathematics

2 answers:

stellarik [79]3 years ago

8 0

Hello!

In our triangle, c is the hypotenuse. We are given an adjacent side length to our angle. This means we will use the cosine. Let's find it first.

cos54≈0.59

This gives us the equation below.

0.59=9/c

0.59c=9

c≈15.25

Therefore, c is equal to about 15.25

I hope this helps!

Nataliya [291]3 years ago

4 0

15.251 is the answer hope I was right

You might be interested in

Josephine has a rectangular garden with an area of 2x2

sergeinik [125]

Answer:

Fourth example, (2x - 3) and (x + 2), are possible dimensions

Step-by-step explanation:

Let's go through all the responses one by one;

First of all the area of the rectangular garden can be computed through length times width, such that:

(x^2 - 3) * (2) = 2x^2 + x - 6,

(2x + 3) * (x-2) = 2x^2 + x - 6,

(2x + 2) * (x-3) = 2x^2 + x - 6,

(2x - 3) * (x + 2) = 2x^2 + x - 6

Now in each of these examples, it should be that the products are equivalent to the area according to the length by width rule, so let's see which is truly the correct dimensions by justifying whether the product is truly equivalent to the area.

First example:

2 * (x^2 - 3) = 2x^2 - 6

Now 2x^2 - 6 ≠ 2x^2 + x - 6 so the first example is not a possibility,

Second example:

(2x + 3) * (x-2) = 2x^2- x - 6

Now 2x^2- x - 6 ≠ 2x^2 + x - 6 so the second example is not a possibility,

Third example:

(2x + 2) * (x-3) = 2x^2 - 4x - 6

Now 2x^2 - 4x - 6 ≠ 2x^2 + x - 6 so the third example is not a possibility,

Fourth example:

(2x - 3) * (x + 2) = 2x^2 + x - 6

Here 2x^2 + x - 6 = 2x^2 + x - 6 so the fourth example can act as possible dimensions

6 0

3 years ago

Read 2 more answers

A car salesman had $65,100 in sales. He earned $1,953 in commission. What percent commission did he earn. Explain your answer.

ahrayia [7]

Answer:

1. The percent commission earned is 3%.

2. The loan period is 3.29 years.

Step-by-step explanation:

1. Salesman has $65,100 in sales. He earned $1,953 in commission.

Let the percent commission earn be x%

Therefore, x% of the sales equals $1,953

$\frac{x}{100} of $65,100 = $1,953$

$\frac{x}{100} * 65100 = 1953\\\frac{65100x}{100} = 1953$

We cross multiply

$\frac{65100x}{100} = 1953\\65100x = 1953 * 100\\65100x = 195300$

Divide both side by the coefficient of 'x' (65100)

$\frac{65100x}{65100} = \frac{195300}{65100} \\x = 3$

Therefore, the percent commission earned is 3%

2. Interest (I) = $299 Principal (P) = $1300 Rate (R) = 7%

The formula for finding interest is given as: $I = \frac{PRT}{100}$

Therefore, substituting into the formula, we have:

$299 = \frac{1300 * 7 * T}{100}$

We are finding the time it takes the loan to earn an interest of $299

$299 = \frac{1300 * 7 * T}{100} \\299 = \frac{9100T}{100}$

We cross-multiply:

$299 * 100 = 9100T\\29900 = 9100T$

Divide both side by the coefficient of T (9100)

$\frac{29900}{9100} = \frac{9100T}{9100}\\T = 3.29$

Therefore, the time taken for the loan to earn such interest is approximately 3.29 years

4 0

4 years ago

mrs. Johnson just purchased a total of 12 books and magazines for her office the total bill was $112 she spent $16 on magazines

Arturiano [62]

$112-$16=$96
$96/$12=8
She bought 8 books

6 0

4 years ago

If a muffin calls for 1 and 3/4 cups of sugar, how many cups of sugar will be needed if only 1/4 of the recipe is being made?

Anna [14]

Answer: 7/16 or .4375

Step-by-step explanation: 1/4 of 1 is 1/4. 1/4 of 3/4 is .1875 which also equals 3/16. Add 1/4 and 3/16 to get 7/16 cups of sugar or 0.4375. Hope this helps!

8 0

3 years ago

Bro please help meee

Sidana [21]

Answer:

504 in³

Step-by-step explanation:

First find the volume of the large rectangle, which is 576 in³

Then find the volume of the small rectangle, which is 72 in³

Then subtract 72 from 576 = 504

6 0

3 years ago