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Naddik [55]
3 years ago
9

Mr. Hernandez's backyard is shaped like a trapezoid with a height of 10 m, a top base of 15 m, and a bottom base of 19 m. In his

backyard, he has a circular vegetable garden whose radius is 3 m.
What is the area of the backyard without the garden?

Use 3.14 for pi.

Enter your answer in the box.
Mathematics
2 answers:
Zolol [24]3 years ago
7 0
The area of the trapezoid is calculated through the equation,
                             A = 0.5(b₁ + b₂)h
where A is area, b₁ and b₂ are the lengths of the bases and h is the height. Substituting the known values,
                              A = 0.5(15 m + 19 m)(10 m)
                                   A = 170 m²
The area of the garden is 170 m². 
DedPeter [7]3 years ago
6 0

Answer:

141.74 just took test

Step-by-step explanation:

You might be interested in
Calculate the sum of the multiples of 4 from 0 to 1000
allochka39001 [22]

Answer:

sum is 125,500

sum in summation notation is \sum\limits_{n=0}^n a+nd= (2a+(n-1)d)n/2

Step-by-step explanation:

This problem can be solved using concept of arithmetic progression.

The sum of n term terms in arithmetic progression is given by

sum = (2a+(n-1)d)n/2

where

a is the first term

d is the common difference of arithmetic progression

_____________________________________________________

in the problem

series is multiple of 4 starting from 4 ending at 1000

so series will look like

series: 0,4,8,12,16..................1000

a is first term so

here a is 0

lets find d the common difference

common difference is given by nth term - (n-1)th term

lets take nth term as 8

so (n-1)th term = 4

Thus,

d = 8-4 = 4

d  can also be seen 4 intuitively as series is multiple of four.

_____________________________________________

let calculate value of n

we have last term as 1000

Nth term can be described

Nth term = 0+(n-1)d

1000 =   (n-1)4

=> 1000 = 4n -4

=> 1000 + 4= 4n

=> n = 1004/4 = 251

_____________________________________

now we have

n = 1000

a = 0

d = 4

so we can calculate sum of the series by using formula given above

sum = (2a+(n-1)d)n/2

       = (2*0 + (251-1)4)251/2

       = (250*4)251/2

     = 1000*251/2 = 500*251 = 125,500

Thus, sum is 125,500

sum in summation notation is \sum\limits_{n=0}^n a+nd= (2a+(n-1)d)n/2

3 0
2 years ago
Frog and Toad decided to meet. Their houses are 120 ft apart. They start hopping towards each other at a speed of 2 ft/min and 3
Alex787 [66]

Answer:

24

Step-by-step explanation:

no explanation, I'm very sorry!

8 0
2 years ago
Which expression shows the result of applying the distributive property to  12(5y+4) ?
brilliants [131]
<span>12(5y+4)
= 12(5y) + 12(4)
= 60y + 48

hope it helps</span>
6 0
3 years ago
17 &lt; 2x + 7 &lt;29*<br> Your Inswer
borishaifa [10]

Answer:

5<x<11

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Tanisha's website had x visitors on Friday. On Saturday, it had 500 more visitors than it did on Friday. The total
liq [111]

If the number of visitors on Friday, Saturday, and Sunday is x, x + 500, and x + 250. Then the total number of visitors will be 3x + 750.

<h3>What is Algebra?</h3>

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Tanisha's website had x visitors on Friday.

On Saturday, it had 500 more visitors than it did on Friday. That is x + 500

The total number of visitors on Friday and Saturday was twice the number on Sunday. That is (2x + 500)/2

Then the total number of the visitors will be

→ Friday + Saturday + Sunday

Then we have

\rm \rightarrow x + x + 500 + \dfrac{2x + 500}{2}\\\\\rightarrow 2x + 500 + x + 250\\\\\rightarrow 3x + 750

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

6 0
2 years ago
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