One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards. What is the value of x?

Answers

Answer 1

Answer: Solutions

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c².

Given

One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.

First leg (24 yards) would be α

Second leg would be β

Hypotenuse (74 yards) would be c

Now we have points α β c.

a² (24) + β² ( x ) = c² (74)

Calculations

c² = α² + β²

74² = 24²+ β²

5476 = 576 + β²

5476 - 576 = β²

4900 = β²

→√4900

β = 70 yards

70 = 10x

x = 70÷10 = 7 yards

The second leg = 7 yards

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How do you do probability?

Answers

Hi there! Let's say I have 2 green marbles, 2 blue marbles, and 2 black marbles. You would add 2+2+2 which equals 6. Now, what is the probability that the marble will be blue? Well that's easy because the denominator would be 6 and the numerator would be 2. So, we have a fraction of 2/6. 26 simplified is 1/3. Therefore, the probability would be 1/3.

Find the GFC of the term of each polynomial 45b+27

Answers

The greatest common factor of 45 and 27 is 9. So the GCF of this polynomial is 9.

Let's factor 45b+27.

$45b+27=9\cdot 5b+9\cdot 3=9(5b+3)$

As you can see the greatest number that can divide this expression is 9.

Can someone help me solve this please?

Answers

to solve this you would need to create a fraction:

24/30 = ?/180

you would multiply 30 by 6 in order to get 180, and what you do to the denominator you must do to the numerator so you would get:

24/30 = 144/180

therefore your answer would be: b. 144

Jared is placing chairs around a rectangular stage.the stage is 10 feet long and 22 feet wide. He wants to put a chair at each corner and every 2 feet along the sides .how many chairs will Jared need for his stage?

Answers

do 22×10 then divide it by 2 then add 2 to the answer

andre has 4 times as many model cars as Peter , and Peter has one-third as many model cars as jade . andre has 36 model cars . a: write and solve an equation to find how many model cars Peter has . b: using your answer fir part a ,write and solve an equation to find how many model cars jade has.

Answers

Answer:

a: 9

b: 27

Step-by-step explanation:

Let's define

P = amount of model cars that Peter has

J =amount of model cars that Jade has

A = amount of model cars that Andre has

a: We need to find out how many model cars does Peter have, i.e. we need to find out P.

We know that Andre has 36 model cars and he has 4 times as many model cars as Peter. If we write that as an equation, we have

A = 4*P = 36

Now we just have to divide by 4:

4*P/4 = 36/4

P = 9

Peter has 9 model cars.

b: Now we need to find out how many model cars does Jade have, i.e. we need to find out J.

We will resolve it as in part a:

Peter has 9 model cars and he has one-third as many model cars as Jade, that is

P = 1/3*J = 9

We multiply by 3 and we have:

1/3*J*3 = 9*3

J = 27

Jade has 27 model cars.

p = how many cars Peter has
j = how many cars Jade has
a = how many cars Andre has
p x 4 = how many cars Andre has (36 model cars)
>>>TO FIND HOW MANY MODEL CARS PETER HAS:
p x 4 = 36
36 / 4 = 9
your equation to find how many model cars Peter has is:
36 / 4 = 9
So, Peter has 9 model cars.
>>>TO FIND HOW MANY MODEL CARS JADE HAS:
36 / 4 = how many cars Peter has (9)
Now, you are given the info that Jade has THREE TIMES (3x) as many cars as Peter already.
So, your equation for this one is:
9 x 3 = 27
So Jade has 27 model cars.

---- Jade has 27 model cars.
---- Andre has 36 model cars.
---- Peter has 9 model cars.

equation for a. 36 / 4 = p
equation for b. 9 x 3 = j

Darcy, Jason and Maria share.$268. Jason has $20more than Darcy and Maria has twice as much money as Jason. How much money do Darcy and Jason have altogether?

Answers

$x-Jason's\ money\nx-20-Darcy's\ money\n2x-Maria's\ money\n\nx+x-20+2x=268\nx+x+2x=268+20\n4x=288\ \ \ \ \ \ \ |:4\nx=72\n\n72-20=52\n\n72+52=124\n\nDarcy\ and\ Jason\ has\ \$124\ alltogether$

Answer:

$124.

Jason- 20$ more than Darcy

Maria- Twice as much as Jason

Darcy- 20$ less than half of Maria's sum.

Step-by-step explanation:

After I had written the page below, I came back up here and realized there was a much easier way.

268/2 = 134

Since the 20 Is added after, half is subtracted and you end up with

124!!

Now for my explanation done first, typed and read as I figured it out.

First and mostly, we need to find what Darcy starts with.

Let's say that Darcy has 5 dollars, to start somewhere easy. That would mean that Jason has 25 dollars since he has 20 more than her. That would mean that Maria would have 50 dollars, and the looted sum is 80.

Since that is less than a quarter of our end goal of 268$, I raised Darcy's initial amount of money to 15 to triple her money.

Math revised here- 15+20= (35*2) 70= 120

15+35+70

Since that is too low, I'm adding it to 30$.

Math revised again here- 30+20=(50*2)=100= 180

30+50+100

5 15 30

80 120 180

That is a chart determining our answers so far. There is no clear pattern, so let us continue.

Darcy starts with 50 dollars for this one.

50+20=(70*2)=140

50+70+140