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
34kurt
3 years ago
13

A swing set is going to be placed over a region of mulch that is shaped like a trapezoid. The bases of the trapezoid have a leng

th of 12 and 15 feet, and the perpendicular distance between the bases is 8.5 feet. What is the area of the region under the swing set? If necessary, round your answer to the nearest tenth.
Mathematics
2 answers:
matrenka [14]3 years ago
7 0

Answer:

114.8\ ft^{2}

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

A=\frac{1}{2}(b1+b2)h

In this problem we have

b1=12\ ft

b2=15\ ft

h=8.5\ ft ----> the height of the trapezoid is the perpendicular distance between the bases

substitute the values

A=\frac{1}{2}(12+15)(8.5)

A=\frac{1}{2}(27)(8.5)=114.75\ ft^{2}

Round to the nearest tenth

114.75=114.8\ ft^{2}

11Alexandr11 [23.1K]3 years ago
3 0

Answer:

114.8 is the answer

Step-by-step explanation:

got it on edgen

You might be interested in
Given z1 = startroot 2 endroot (cosine (startfraction 3 pi over 4 endfraction) i sine (startfraction 3 pi over 4 endfraction) )
vampirchik [111]

The subtraction of complex numbers z_{1} -z_{2} is cos(π)+i sin(π).

Given z_{1} =\sqrt{2}[cos(3π/4+i sin(3π/4) and z_{2}=cos (π/2) +i sin(π/2)

We have to find the value of z_{1} -z_{2}.

A complex number is a number that includes real number as well as a imaginary unit in which i^{2} =1. It looks like a+ bi.

We have to first solve z_{1} and z_{2} and then we will be able to find the difference.

z_{1} =\sqrt{2}[ cos (3π/4)+i sin (3π/4)]

=\sqrt{2}[cos(π-π/4)+ i sin (π-π/4)]

=\sqrt{2} [-cos(π/4)+sin (π/4)]

=\sqrt{2}(-1/\sqrt{2}+1/\sqrt{2})

=\sqrt{2} *0

=0

z_{2} =cos(π/2)+i sin (π/2)

=0+i*1

=1

Now putting the values of z_{1}  and z_{2},

z_{1} -z_{2} =0-1

=-1

=-1+i*0

=cos (π)+i sin(π)

Hence the value of difference between z_{1} and z_{2} is cos(π)+i sin(π).

Learn more about complex numbers at brainly.com/question/10662770

#SPJ4

3 0
2 years ago
9 A rectangle of perimeter 42 cm is
lianna [129]

Answer:

The correct answer is = p = 15 and q = 6.

Step-by-step explanation:

Given:

Perimeter of rectangle = 42 cm

p - q = 9 cm

length = p

width = q

we know:

Perimeter of rectangle= 2(l+w)

solution:

42 = 2(P+q)

21= p+q

Difference of p and q = 9 cm.

Then, P+q=21 .... 1

P-q=9 ....2

Adding both 1 and 2

2P = 30

P= 15cm and

q = 15-9

= 6cm

5 0
3 years ago
Norman makes $15 commission for selling $200 in merchandise. he makes $37.50 commission for selling $500 in merchandise. assumin
vladimir2022 [97]

So he needs to sell $2,000 in merchandise.

<h3>what is the total value of merchandise he needs to sell?</h3>

We can assume that we have a proportional relation:

y = k*x

Where y is the commission and x is what Norman sells, then:

$15 = k*$200

k = $200/$15 = 0.075

$37.50 = k*$500

k = $500/$37.50 = 0.075

Then the relation is:

y = 0.075*x

If he wants a commission of $150, then:

$150 = 0.075*x

$150/0.075 = x = $2,000

So he needs to sell $2,000 in merchandise.

If you want to learn more about proportional relationships:

brainly.com/question/12242745

#SPJ1

3 0
2 years ago
1. Which expression shows 3 less than X?<br> А 3-х<br> cx - 3<br> в 3х
vova2212 [387]
X-3 is the expression that shows it
7 0
4 years ago
Read 2 more answers
Do respond to this it was accident
natka813 [3]
I want points!!!!!!!!!!!!!!!!
3 0
3 years ago
Other questions:
  • Last year, the numbers of skateboards produced per day at a certain factory were normally distributed with a mean of 20,500 skat
    8·1 answer
  • How do i solve question 25
    9·2 answers
  • Two math classes took the same quiz. The scores of 10 randomly selected students from each class are listed below. Sample of Cla
    14·1 answer
  • Meyer used 6 loads of gravel to cover 2/5 of his driveway. how many loads of gravel will he need to cover the entire driveway?
    5·2 answers
  • what is an equation of a line that passes through the point (1,-7) and is parallel to the line 3x+y=3
    15·1 answer
  • (3p-10q)-(p-8q)<br> I can’t figure this out !!!
    9·1 answer
  • Solve the equation 4x^3 + 4x^2-x-1 = 0 given that -1/2 is a zero of f(x) = 4x^3 + 4x^2-x-1.
    11·1 answer
  • Help meeeeeewwww :):):)):
    13·1 answer
  • 1/4m + 3/4m - 3/8(m+1)
    11·1 answer
  • I would like help plz​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!