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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:

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Find the roots of the following equations: x-1/X=3,X is not equal to zero.​
lana [24]

Step-by-step explanation:

X-1/X=3

X-1=3×X

X-1=3X

-3X+X=1

-2X=1

X=1/2 Answer

5 0
2 years ago
Question help the average income in a certain region in 2013 was ​$62 comma 00062,000 per person per year. suppose the standard
Iteru [2.4K]
Part a
The sample size is large enough to use the central limit theorem because it is greater than 30.

Part b.
The mean of the sampling distribution is 62000.
The standard error is computed as
     SE=\frac{s}{\sqrt{n}}=\frac{27000}{\sqrt{100}}=2700

Part c.
Compute for the corresponding z-score of more than 2700 from the population mean. 
     z=\frac{2700}{2700}=1

Therefore,
     P\left(z\ \textgreater \ 1\right)=0.1587
     
6 0
2 years ago
Find the value of x. Then find the missing angle measures of the polygon
UkoKoshka [18]

Answer:

x=10

5x=50

2x=20

Step-by-step explanation:

110+5x+2x = 180  combine like terms and move the constants to the same side

7x=70

x = 10

5(10) = 50

2(10) = 20

4 0
3 years ago
The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation c = 3. 5b. Whi
Dmitrij [34]

The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable. The values given in the table 3 matches the equation and includes the viable solutions.

<h3>Given information-</h3>

The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation,

c=3.5b

The quantity of the bread depends on the quantity of the loaves.

<h3>Dependent variable</h3>

The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable.

Lets check which table satisfy the above equation.

Table 1-

In the table the first values of the bread and the loves is -2 and -7. The quantity of a bread and loves can not be negative. Thus the table 1 does not provides the viable solution.

Table 2-

In the table 2 the value of the third row is 1.5 loaves and 5.25 breads. Check this by the given equation. When the value of loaves is 1.5 then the value of the bread is,

c=3.5\times1.5

c=4.5

The value of bread must be 4.5. Thus the table 2 does not provides the viable solutions.

Table 3-

Put the values of the loaves in the given equation one by one,

When the value of loaves is 0 then the value of the bread is,

c=3.5\times0=0

When the value of loaves is 3 then the value of the bread is,

c=3.5\times3=10.5

When the value of loaves is 6 then the value of the bread is,

c=3.5\times=21

When the value of loaves is 9 then the value of the bread is,

c=3.5\times9=31.5

All the values of the table 3 satisfies the given equation.

Hence, the values given in the table 3 matches the equation and includes the viable solutions.

Learn more about the dependent variables here;

brainly.com/question/967776

8 0
2 years ago
Ramen purchase a box of candy for himself on the way back to the dorm he ate 2/3 of the candy while he was putting away grocerie
Aleksandr [31]

Answer:

12 chocolates

Step-by-step explanation:

Represent the original number of chocolates by c.  

Then (1/4)(2/3)c = 2

Solving this for c, we multiply both sides by 4:  (2/3)c = 8

and then multiply both sides by (3/2):  c = (3/2)(8) = 12

Originally the box contained 12 chocolates.

6 0
3 years ago
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