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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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Line k passes through points (-3,-6) and (-1,12) what is the slope of the line perpendicular to line c
yan [13]
Do you mean "perpendicular to k"?  We have no line c there so I'm going with line k.  First we need the slope of line k.  Fitting those values into the slope formula we have m= \frac{12-(-6)}{-1-(-3)} = \frac{18}{2} =9.  So the slope of k is 9.  The slope of a line perpendicular to k has the opposite sign and the fraction is flipped.  The perpendicular slope then is -1/9.
4 0
3 years ago
A boy walks 58 feet up a ramp having a 22.5 degree inclination. how high is he standing from the ground?
yKpoI14uk [10]

Boy is 22.5 feet high from the ground

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

The given question can be solved by sin, as value of perpendicular is to be evaluated and height and angle is provided. Let height from the ground be x

sin(22.5°) = x / 58

x = 58sin22.5 = 58(.38258)  =  22.5 feet high.

Thus the Boy is 22.5 feet high from the ground.

Learn more about trigonometry here :

brainly.com/question/26719838

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6 0
2 years ago
0.00045-2.5*10^-5 in scientific notation?
expeople1 [14]

Answer:

The answer is 4.25*10^−4

Step-by-step explanation:

First convert 2.5*10^-5 into decimal form

That's

2.5*10^-5 = 0.000025

0.00045 - 0.000025 = 0.000425

= 4.25*10^−4 in scientific notation

Hope this helps

7 0
4 years ago
A blue bowling ball, that has a mass of 2 kg and a diameter of 27 cm, rolls down a bowling alley at an average speed of 200 cm p
ElenaW [278]

Answer:

5 seconds

Step-by-step explanation:

1000 cm / 200 cm/s = 5 s

8 0
3 years ago
On a set of blueprints, the length of a building is 16 inches. The actual building is 85 1/3 feet long. Which of the following i
dusya [7]

Answer:

1 : 64

Step-by-step explanation:

We require the dimensions to be the same units

1 foot = 12 inches , then

85 \frac{1}{3} feet = \frac{256}{3} × 12 = 256 × 4 = 1024 inches

Scale is then

16 in : 1024 in ( divide both parts by 16 )

= 1 : 64

6 0
3 years ago
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