What are the prime Factors of 36

Three right triangles are drawn in the coordinate plane,

SashulF [63]

Answer:

Triangle A:

- smaller leg = 3

- longer leg = 10

- hypotenuse = 10.4

Traingle B:

- smaller leg = 4

- longer leg = 13

- hypotenuse = 13.6

Triangle C:

- smaller leg = 5

- longer leg = 7

- hypotenuse = 8.6

Step-by-step explanation:

Let's find the distance of the legs for the 3 right triangles.

Triangle A

The smaller leg (SL) is from (2,5) to (2,8), so the length is given by the distance in the y-axis:

$SL_{A} = 8 - 5 = 3$

Hence, the lenght of the smaller leg is 3.

The longer leg (LL) is from (-8, 8) to (2, 8), so the length is given by the distance in the x-axis:

$LL_{A} = 2 - (-8) = 10$

Then, the length of the longer leg is 10.

Now, we can find the hypotenuse (H) by using Pitagoras:

$H_{A} = \sqrt{SL_{A}^{2} + LL_{A}^{2}} = \sqrt{3^{2} + 10^{2}} = 10.4$

Triangle B

The SL is from (3, -9) to (7, -9)

The length of the SL is:

$SL_{B} = 7 - 3 = 4$

The LL is from (7, -9) to (7, 4)

The length of the LL is:

$LL_{B} = 4 - (-9) = 13$

The hypotenuse is:

$H_{B} = \sqrt{4^{2} + 13^{2}} = 13.6$

Triangle C

The SL is from (-10, -6) to (-10, -1)

The length of the SL is:

$SL_{C} = -1 - (-6) = 5$

The LL is from (-10, -6) to (-3, -6)

The length of the LL is:

$LL_{C} = -3 - (-10) = 7$

The hypotenuse is:

$H_{C} = \sqrt{5^{2} + 7^{2}} = 8.6$

I hope it helps you!

5 0

2 years ago

Directions: Read the scenario below and calculate what Marcus' pay is after deductions are

hram777 [196]

Answer:

$346.65

Step-by-step explanation:

If Marcus worked a total of 40 hours, and he earns 10$ an hour, his payment before deductions is 400$, as put in the "gross pay".

We need to sum all the deductions:

9.75 + 3.10 + 30 + 10.5 = 53.35

Now, to know Marcus net pay, we just need to subtract his gross pay from this total deduction:

400 - 53.35 = 346.65

So, his net payment is $346.65

7 0

2 years ago

Grady marks down some $4.09 pens to $3.59 for a week and then marks them back up to $4.09. Find the percent of increase and the

emmainna [20.7K]

Answer:

Percentage decrease ( from $4.09 to $3.59) is 0.1% ( Rounded to nearest tenth)

Percentage increase (from $3.59 to 4.09) is 0.1% ( Rounded to nearest tenth)

Percentages are not same for the both price changes. As we can see from the calculations percentage change from $3.59 to $4.09 is higher.

Step-by-step explanation:

$4.09 has been changed to $3.59.

Percent change = [(Value after - Value before) / Value before]*100

= $\frac{3.59-4.09}{4.09}*100$ %

= $\frac{-0.5}{4.09}*100$ %

= $-0.122249$ %

= $-0.1$ % ( Rounded to nearest tenth)

Percentage decrease is 0.1% ( Rounded to nearest tenth)

Now lets calculate the percentage change from $3.59 to $4.09.

Percent change = [(Value after - Value before) / Value before]*100

= $\frac{4.09-3.59}{3.59}*100$ %

= $\frac{0.5}{3.59}*100$ %

= $0.13927$ %

= $0.1$ % ( Rounded to nearest tenth)

Percentage increase is 0.1% ( Rounded to nearest tenth)

Percentages are not same for the both price changes. As we can see from the calculations percentage change from $3.59 to $4.09 is higher.

6 0

2 years ago

Best explained and correct answer gets brainliest!!

Ganezh [65]

The correct answer is B. You know this because you are just adding like terms or in this case the same exponents.

8 0

2 years ago

5x-25=-10 Please HELP

solong [7]

Answer:

We simplify the equation to the form, which is simple to understand

5x+25=10

We move all terms containing x to the left and all other terms to the right.

+5x=+10-25

We simplify left and right side of the equation.

+5x=-15

or this is another way

Simplifying

5x = 25 + -10

Combine like terms: 25 + -10 = 15

5x = 15

Solving

5x = 15

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '5'.

x = 3

Simplifying

x = 3

We divide both sides of the equation by 5 to get x.

x=-3

3 0

2 years ago

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