MATHEMATICS HIGH SCHOOL

Solve P = 2w + 2l for l.

Answers

Answer 1

Answer:

Answer:

option a

Step-by-step explanation:

We will simply rearrange the equation for $\ell$ .

$\twoheadrightarrow\quad\sf{P=2w+2l}$

$\twoheadrightarrow\quad\sf{P-2w=2l}$

$\twoheadrightarrow\quad\sf{\cfrac{P-2w}{2}=l}$

Therefore, option A is correct

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Diameter is 3.14961 inches what is the circumference

Answers

$d=3.14961\ in\n\nThe\ formula\ of\ the\ circumference:\n\nC=d\pi\n\nsubstitute:\n\nC=3.14961\pi\ in\approx9.89479\ in$

Raise the following number to the indicated power.
(-4)2 =

Answers

If it’s -4 to the power of 2
(-4)(-4)
=16
(Positive sixteen)

Answer:

Step-by-step explanation:

Aaron is 15 centimeters taller than Peter, and five times Aaron's height exceeds two times Peter's height by 525 centimeters.The system of linear equations that relates Aaron's height (x) and Peter's height (y) is given by . Aaron's height is centimeters, and Peter's height is centimeters.

Answers

The answer for this problem would be x equal to 430 cm and y is equal to 325. This is computed by establishing the equations. This first equation based on first statement would be x = 15 + y and the second would be 5x = 3y + 525. Then it is solve as follows:

5x = 3y + 525

Answer with Step-by-step explanation:

Let Aaron's height be represented by x

and Peter's height be represented by y

Aaron is 15 centimeters taller than Peter.

i.e. x=y+15

Five times Aaron's height exceeds two times Peter's height by 525 centimeters.

i.e. 5x=2y+525

Putting x=y+15 in 5x=2y+525

5(y+15)=2y+525

5y+75=2y+525

5y-2y=525-75

3y=450

Dividing both sides by 3,we get

y=150

Putting the value of y in x=y+15,we get

x=150+15

x=165

Hence, system of linear equations that relates Aaron's height (x) and Peter's height (y) is:

x=y+15

5x=2y+525

Aaron's height is 165 centimeters

and Peter's height is 150 centimeters

Help plz I’ll mark Brainly!!!!!

Answers

Answer:

SAS

Step-by-step explanation:

$6300 is invested , part of it at 12%, and part at 6%. For a certain year, the total yield is 564.00. How much was invested at each rate?

Answers

x - first part of the investment (12% rate)
y - second part of the investment (6% rate)

Total investment: $x + y = 6300$
Total yield: $564 = x*0,12 + y*0,06$

Based on that we can calculate x and y:
$\left \{ {y=6300-x} \atop {0,12x+0,06(6300-x)=564}} \right.$

$\left \{ {y=6300-x} \atop {0,12x+378-0,06x=564}} \right.$

$\left \{ {y=6300-x} \atop {0,06x=186}} \right.$

$\left \{ {y=6300-x} \atop {x=3100}} \right.$

$\left \{ {y=3200} \atop {x=3100}} \right.$

Answer: $3100 was invested at 12% and $3200 at 6%.

If you have any questions, please let me know!

Which polygons are congruent?

Answers

Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.

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