1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
saul85 [17]
3 years ago
9

The intersection of two streets forms a parallelogram. One street is 40 feet wide. The height of the parallelogram formed is 25

ft. What is the area of the intersection?
Mathematics
1 answer:
mr_godi [17]3 years ago
8 0

Answer:

1000 feet²

Step-by-step explanation:

Given that,

Width of a parallelogram is 40 feet

Height of the parallelogram is 25 feet

We need to find the area of the intersection that forms a parallelogram. The formula for the area of a parallelogram is given by :

A = base × height

A = 40 × 25

A = 1000 feet²

So, the area of the parallelogram is 1000 feet²

You might be interested in
You pawn a guitar and receive $880. One month later, you get the guitar back by paying $1250. If this is simple interest, then w
Lemur [1.5K]
Interest=1250-880=370
I=PRT
P=principal
r=rate in deicmal
t=time in years

1 month so t=1/12
P=880
I=370

370=880*r*1/12
370=220/3r
times both sides by 3
1110=220r
divdie both sides by 220
5.04545=r
505% interest
6 0
3 years ago
{x^2+6x-27/x^2-9x+18<br> how to solve step by step
Alika [10]

Answer:

Step-by-step explanation:

Step by Step Solution:

More Icon

STEP

1

:

5

Simplify ———————

x2 - 81

Trying to factor as a Difference of Squares:

1.1 Factoring: x2 - 81

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 81 is the square of 9

Check : x2 is the square of x1

Factorization is : (x + 9) • (x - 9)

Equation at the end of step

1

:

(((x2)-18x)+81) 5

———————————————•———————————

(((x2)-6x)-27) (x+9)•(x-9)

STEP

2

:

x2 - 18x + 81

Simplify —————————————

x2 - 6x - 27

Trying to factor by splitting the middle term

2.1 Factoring x2 - 18x + 81

The first term is, x2 its coefficient is 1 .

The middle term is, -18x its coefficient is -18 .

The last term, "the constant", is +81

Step-1 : Multiply the coefficient of the first term by the constant 1 • 81 = 81

Step-2 : Find two factors of 81 whose sum equals the coefficient of the middle term, which is -18 .

-81 + -1 = -82

-27 + -3 = -30

-9 + -9 = -18 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -9

x2 - 9x - 9x - 81

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-9)

Add up the last 2 terms, pulling out common factors :

9 • (x-9)

Step-5 : Add up the four terms of step 4 :

(x-9) • (x-9)

Which is the desired factorization

Trying to factor by splitting the middle term

2.2 Factoring x2-6x-27

The first term is, x2 its coefficient is 1 .

The middle term is, -6x its coefficient is -6 .

The last term, "the constant", is -27

Step-1 : Multiply the coefficient of the first term by the constant 1 • -27 = -27

Step-2 : Find two factors of -27 whose sum equals the coefficient of the middle term, which is -6 .

-27 + 1 = -26

-9 + 3 = -6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 3

x2 - 9x + 3x - 27

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-9)

Add up the last 2 terms, pulling out common factors :

3 • (x-9)

Step-5 : Add up the four terms of step 4 :

(x+3) • (x-9)

Which is the desired factorization

Canceling Out :

2.3 Cancel out (x-9) which appears on both sides of the fraction line.

Equation at the end of step

2

:

(x - 9) 5

——————— • —————————————————

x + 3 (x + 9) • (x - 9)

STEP

3

:

Canceling Out

3.1 Cancel out (x-9) which appears on both sides of the fraction line.

Final result :

5

—————————————————

(x + 3) • (x + 9)

5 0
2 years ago
A box can had a maximum of 60 comic books.If comic books are bundled together in groups of 8, write and solve an inequality to f
Reika [66]

Answer: the maximum number of bundles of comic books that the box can carry is 7

Step-by-step explanation:

Let x represent the maximum number of bundles of comic books that the box can carry.

If comic books are bundled together in groups of 8, then the total number of comic books in x bundles of comic books would be 8x.

A box can hold a maximum of 60 comic books. Therefore, the inequality to find the maximum number of bundles of comic books that the box can carry is

8x ≤ 60

x ≤ 60/8

x ≤ 7.5

8 0
3 years ago
A teacher had 85 red grapes and 19 students. If each student received the same number of
nata0808 [166]
Divide 85 and 19.
85/19= 4.417....
So, we know that each student can’t have above 4. But, if each student has 4 grapes, 19x4 = 76.
85-76=9
There are 9 grapes left over.
7 0
3 years ago
Eli walked 12 feet down the hall of his house to get to the door. He conti in a straight line out the door and across the yard t
EastWind [94]

Answer:

a. Check the diagram

b. He walked 58 feet

c. He is 18 feet far away from the house

Step-by-step explanation:

a. Eli started inside the house an walked 12 feet (blue arrow), after that he keep walking until the mailbox for 32 feet (green arrow) and after that he came back until the dog 14 feet (red arrow).

b. For calculating how far has he walked we need to take into acount all the travel so we add all the arrows:

12ft + 32ft + 14ft =58ft

He walked 58 feet.

c. The distance from the dog to the house is determine by the substraction between the distance to the mailbox with the distance he walked to the dog then:

32ft - 14ft = 18ft.

He is 18 feet far away from the house.  

6 0
3 years ago
Other questions:
  • Item 20 You are riding a roller coaster when a shoe falls off your foot. The function y=200−16t2 represents the height y (in fee
    14·2 answers
  • How much is $23,000 worth after 10 years at 6%<br> annual interest?
    13·1 answer
  • 4 divided by 0.572 whats the answer
    11·1 answer
  • The angles below are supplementary. What is the value of x? (5 points)
    8·2 answers
  • Which of these numbers is composite? 29, 41, 47, 82, 89
    7·2 answers
  • Use the Right Triangle Alt. Thm., Pythag. Thm. and/or Similar Triangles to solve.​
    14·1 answer
  • Round each number to the<br> nearest 10 and 100.<br> 444 <br> 372<br> 847<br><br> Help please
    5·2 answers
  • What percent of 600 is 3 3/4?
    11·2 answers
  • John's patio is 5 feet long<br> and has an area of 1.30<br> square feet<br> How wide is the patio?
    13·1 answer
  • Divide.round to the nearest tenth .16÷.03220
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!