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2 years ago

Please Help!!! and Show Work!!!

Mathematics

1 answer:

shtirl [24]2 years ago

5 0

Answer:

Step-by-step explanation:

Hi there! First thing I want to say is that I will have a photo attached to this problem. If you don't see it or need any more clear explanation, please don't hesitate to reach out! Anyways, I will go step by step for this problem and also include a definition.

Okay, what we have here is a right triangle, which has a 90 degree angle. And we have two sides and want to find the other side. With this problem, we will use the pythagorean theorem. The pythagorean theorem is an equation or formula that helps someone to find a side of a 90 degree right triangle, when two sides are presented.

Formula: a² + b² = c²

a would be the height of the triangle, b would be the length, and c is the hypotenuse of the triangle.

What we have so far is b and c. b is 3 and c is 5. So with that in mind we will replace b and c with the numbers we are given. And then solve from there...

a² + b² = c²

a² + 3² = 5²

a² + 9 = 25

a² = 16

$\sqrt{a^{2} }$ = $\sqrt{16}$

a = 4

There you go! And you can always go back and check your answer! I hope this helped, if not please ask and don't be afraid! And I again have attached a picture of the work! Have a great day!

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Solve the system below using substitution write your final answer as a coordinate point

Mademuasel [1]

(3, -2)

Step-by-step explanation:

y = -2x + 4

-x + 3y = -9

-x + 3 (-2x + 4) = -9

-x + -6x + 12 = -9

-7x = - 9 – 12

-7x = - 21

X = 3

We substitute x with 3 to evaluate y;

-3 + 3y = -9

3y = -6

y = -2

Elimination Method;

y = -2x + 4

-x + 3y = -9

We arrange the equations for substitution;

2x + y = 4

-x + 3y = -9

We multiply the first equation with 3 so we can substract one variable to zero;

3 (2x + y = 4)

= 6x + 3y = 12

Then we subtract the two;

6x + 3y = 12

-x + 3y = -9

7x = 21

x = 3

We evaluate y by substitution x with 3 in one of the equation;

-x + 3y = -9

-3 + 3y = -9

3y = -6

y = -2

The final answer expressed as a coordinate point is;

(3, -2)

7 0

3 years ago

Alana earnerd money doing chores. Her grandmother agreed to add $4.00 to the amount Alana earned and then give her half of that

vitfil [10]

Answer:

Hence amount of Alana's donation is $4.5.

Step-by-step explanation:

Amount of Alana's donation = x

Her grandmother agreed to add $4.00 to the amount Alana earned.

So new amount of money = (x+4)

She gives only half of the sum which is (x+4)/2.

She gave her $4.25 so both values must be equal.

$\frac{\left(x+4\right)}{2}=4.25$

$x+4=4.25*2$

$x+4=8.5$

$x=8.5-4$

$x=4.5$

Hence amount of Alana's donation is $4.5.

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3 years ago

If you double a number and then add 28, you get four ninths of the original number. What is the original number?

anastassius [24]

Answer:

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Step-by-step explanation:

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3 years ago

PLEASE HELP ME !!! An apparel company uses a trucking service to deliver products from its warehouse to its retail outlets. For

nexus9112 [7]

Let distance between warehouse and retail outlets be x miles.

We are told that for a one-way trip, the trucking company charges a flat rate of $250 per truck, plus $1.25 for every mile driven. The apparel company has a budget of less than $950 per trip.

Upon multiplying 1.25 by x we will get delivering charges for x miles as 1.25*x. Total delivery charges also include $250 per one-way trip, therefore, 250 will be our constant.

Our total delivery charges for x miles will be,

$1.25\cdot x+250$