All categories

1 year ago

Instructions: Find the length of the missing sides. Round your

Mathematics

1 answer:

lora16 [44]1 year ago

3 0

The values of x and y are 19 and 14 respectively.

<h3 /><h3>How to determine the length</h3>

Given the hypotenuse = 24

Opposite = x

Adjacent = y

Let's use the sine ratio to find the opposite side

sin of angle = opposite/hypotenuse

sin 54 = x/24

Cross multiplysin 54 × 24 ,= x

x = 19.42

x = 19

To find the adjacent side, we use cosine ratio

cos = adjacent/hypotenuse

cos 54 = y/25

Cross multiply

cos 54 × 24 = y

y = 14

Thus, the values of x and y are 19 and 14 respectively.

Learn more about trigonometric identities here:

brainly.com/question/20094605

#SPJ1`

You might be interested in

Find the value of each variables in the parallelogram

xenn [34]

Answer:

A = 28

B = 87

Step-by-step explanation:

18 + 10 = 28

103 -16 = 87

4 0

2 years ago

If it's $8 for four bottles how much is each bottle?

cluponka [151]

Hi there! $8 per 4 bottles means price/# of bottles will give you the average price per bottle.

8/4=$2

Therefore it is $2 for 1 bottle.

Hope this helps!

5 0

2 years ago

Read 2 more answers

The bakery shop purchased 7 2/10 pounds of sugar and 7 5/10 pounds of flour. How much sugar and flour did they purchase in all?

gizmo_the_mogwai [7]

Answer:

Sugar = 1-2/5 pounds, Flour = 3-1/2 pounds

Together = 5-9/10 pounds

Step-by-step explanation:

sugar = 7(2/10)

flour = 7(5/10)

sugar + flour = 7(2/10) + 7(5/10)

sugar = 14/10 or 1-2/5 pounds

flour = 35/10 or 3-1/2 pounds

5 0

2 years ago

10 points! How do I factor 8x^2-26x+15

Rufina [12.5K]

The AC method, also known as splitting the middle, can be shown like this:

8x^2 - 26x + 15

Check factors of 120.

1 * 120

-1 * -120

2 * 60

-2 * -60

3 * 40

-3 * -40

5 * 24

-5 * -24

6 * 20

-6 * -20 (these factors, when added together, are equal to the middle term, and thus splitting the middle term is possible.)

Split the middle term.

8x^2 - 6x - 20x + 15

Group in terms of 2.

(8x^2 - 6x) - (20x + 15)

Factor each binomial.

2x(4x - 3) - 5(4x - 3)

Rearrange the terms.

(2x - 5)(4x - 3)

6 0

3 years ago

Read 2 more answers

Ada, Betty, Chris and David have $45 in total Ada gota 52 fromBetty, Chris tripleshis money and Davids money is cut by hall four

andrezito [222]

Using a system of equations, it is found that initially Ada has $0.385.

For the system, we have that the variables are:

x is Ada's amount.
y is Betty's amount.
z is Chris's amount.
w is David's amount.

$45 total, hence:

$x + y + z + w = 45$

Ada gets 2 from Betty, hence:

$x + 2 = y - 2$

$x = y - 4$

$y = x + 4$

Chris triples his money and David's money is cut by half four of them have the same amount, hence:

$x + 4 = y = 3z = \frac{w}{2}$

Then:

$3z = x + 4$

$z = \frac{x + 4}{3}$

$x + 4 = \frac{w}{2}$

$w = 2x + 8$

Solving for w, we find Ada's initial amount.

$x + y + z + w = 45$

$x + x + 4 + \frac{x + 4}{3} + 2x + 8 = 45$

$4x + 12 + \frac{x + 4}{3} = 45$

$12x + 36 + x + 4 = 45$

$13x = 5$

$x = \frac{5}{13}$

$x = 0.385$

Initially, Ada has $0.385.

A similar problem is given at brainly.com/question/6120515

5 0

2 years ago