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2 years ago

A parallelogram must be a rectangle when its

Mathematics

1 answer:

nirvana33 [79]2 years ago

4 0

When it's all sides are mutually perpendicular to each other.

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Help a girl out!!!!!

anzhelika [568]

Answer:

I believe the answer is D. $20\frac{3}{4}$ Hope i'm right

Step-by-step explanation:

4 0

2 years ago

A stadium has 45,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. If section C held 300 fewer

White raven [17]

Answer:

Let's define the variables:

A = number of seats in section A.

B = number of seats in section B.

C = number of seats in section C.

We have the equations:

A + B + C = 45,000.

C - 300 = B/2

A*$28 + B*$24 + C*$20 = $1,139,200

This is a system of equations, the first step to solve this is to isolate one variable in one of the equations, and then replace it in the others.

I will isolate C in the second equation:

C = B/2 + 300.

Now let's replace this in the other two equations:

A + B + B/2 + 300 = 45,000

A*$28 + B*$24 + (B/2 + 300)*$20 = $1,139,200

Let's simplify these equations:

A + B*(3/2) = 44,700

A*$28 + B*$34 + $6,000 = $1,139,200

Now let's isolate A in the first equation:

A = 44,700 - B*(3/2)

Let's replace this in the other equation:

(44,700 - B*(3/2))*$28 + B*$34 + $6,000 = $1,139,200

Now let's solve this for B.

-B*$8 + $1,252,200 = $1,139,200

-B*$8 = $1,139,200 - $1,252,200 = -$113,000

B = $113,000/8 = 14,125

Now we can replace that in the equations:

A = 44,700 - B*(3/2) = 44,700 - 14,125*(3/2) = 23,512.5, that we should round up to 23,513.

And C = B/2 + 300 = 7362.5

As we rounded the previous one up, we should round this one down to 7362.

3 0

2 years ago

Justin deposited $2,000 into an account 5 years ago. Simple interest was paid on the account. He has just withdrawn $2,876. What

RSB [31]

Answer: 8.76%

Step-by-step explanation:

The formula to find the simple interest is given by :-

$I=Prt$ , where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years). (1)

Given : Justin deposited $2,000 into an account 5 years ago.

i.e. P = $2,000 , t= 5 years

He has just withdrawn $2,876. i.e. Future value = $2,876

Interest (I)=$2,876-$2,000=$876 [Subtract Principal value from Future value]

Substitute all the above values of P , t , and I in the formula (1) , we get

$876 =(2000)r(5)\\\\\Rightarrow\ r=\dfrac{876 }{2000\times5}\\\\\Rightarrow r=\dfrac{876}{10000}=0.0876$

In percent , $r=0.0876\times100=8.76\%$

Hence, the rate of interest = 8.76%

6 0

2 years ago

Use linear combination. To solve system -2x+7y=10 X-3y=-3

Tamiku [17]

-2x + 7y = 10 ⇒ -2x + 7y = 10
 x - 3y = -3 ⇒ -2x + 6y = 6 
 y = 4
 -2x + 7(4) = 10
 -2x + 28 = 10
 -28 -28
 -2x = -18
 -2 -2
 x = 9
 (x, y) = (9, 4)

3 0

2 years ago

Read 2 more answers

a painter paints the side of a house at a rate of 3 square feet per minute. if the dimensions of the side of the house are 15 fe

Korvikt [17]

Answer: 90 minutes

Step-by-step explanation:

Area of the side = 15 x 18 = 270 sq. ft.

3 sq. ft take a minute to paint

270 sq. ft. will take 270 / 3

= 90 minutes

3 0

2 years ago