All categories

3 years ago

Find the following ratios. Write each answer as a fraction and as a decimal rounded to four decimal places.

Mathematics

1 answer:

Alona [7]3 years ago

5 0

Answer:

$y = 56.6208$

Step-by-step explanation:

Given

The attached triangle

Required

Find y

To find y, we make use of the relationship between sides lengths 44 & y and angle 39

The relationship is:

$cos(39) = \frac{44}{y}$

i.e.

$cos(\theta) = \frac{Adjacent}{Hypotenuse}$

Make y the subject

$y = \frac{44}{cos(39)}$

$y = \frac{44}{0.7771}$

$y = 56.6208$ -- approximated

You might be interested in

The pep club and honor society are joining forces to raise money for school improvements.

Fittoniya [83]

Answer:

Part a) The graph in the attached figure

Part b) see the explanation

Part c) see the explanation

Step-by-step explanation:

Let

x ----> represent pep club donations

y ---> represent donations raised by the honor society

we have

$x+y\geq 500$ ----> inequality A

The solution of the inequality A is the shaded area above the solid line $x+y=500$

$x\geq 100$ ----> inequality B

The solution of the inequality B is the shaded area at right of the solid line $x=100$

Part a) Graph the system of inequalities

using a graphing tool

The solution of the system of inequalities is the shaded area

Remember that the variables x and y cannot be a negative number

see the attached figure

Part b) What does the point (300,100) represent? Is it a viable solution?

The point (300,100) means that the donations raised for pep club was $300 and the donations raised by the honor society was $100

The point (300,100) is not a viable solution, because the point not belong to the shaded area of the solution of the system of inequalities

Verify

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality

For x=300, y=100

Inequality A

$300+100\geq 500$

$400\geq 500$ ----> is not true

The ordered pair not satisfy the inequality A

therefore

The point (300,100) is not a viable solution

Part c) What does the point (500,200) represent? Is it a viable solution?

The point (500,200) means that the donations raised for pep club was $500 and the donations raised by the honor society was $200

The point (500,200) is a viable solution, because the point belong to the shaded area of the solution of the system of inequalities

Verify

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality

For x=500, y=200

Inequality A

$500+200\geq 500$

$700\geq 500$ ----> is true

The ordered pair satisfy the inequality A

Inequality B

$500\geq 100$ ---> is true

The ordered pair satisfy the inequality B

therefore

The point (500,200) is a viable solution

3 0

3 years ago

3a+2d^2-14+6a-4d-2d^2

Ghella [55]

So 2d^2 and -2d^2 cancel each other out and then that leaves

3a-14+6a-4d collect like terms

9a-14-4d

And that’s the answer

7 0

3 years ago

Read 2 more answers

What is the answer to x-(9x-10)+11=12x+3(-2x+1/3

lys-0071 [83]

x = 10/7. Hope this helped

3 0

3 years ago

A recipe calls for 5 deciliters of water and 236 milliliter soft milk. How many milliliters of liquid does the recipe call for I

Nadusha1986 [10]

Answer:

Step-by-step explanation:

5 deciliters is also equal to 500ml

So.....

236 + 500 = 736

Answer : 736 ml

Hope this helps!

8 0

3 years ago

The Mathalot company makes and sells textbooks. They have one linear function thst represents the cost of producing textbooks an

OverLord2011 [107]

It's only possible for the two lines to intercept isif they have different slopes.

When two lines have the same slope they would be parallel and never intercept.

If the lines have different slopes, they would eventually intercept.

3 0

3 years ago

Read 2 more answers