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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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Pls check my answers i don’t know if they’re correct
Elina [12.6K]

Answer:

Yes, you have it right

Step-by-step explanation:

The ratio is 2-1, with the length being 1, and the width being 2. The width is always going to be 2 times the amount of length. And you have done it right here. Nice job!

3 0
3 years ago
4. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. In a
borishaifa [10]

675 people will have score between 85 and 120

Step-by-step explanation:

Given

Mean = 100

SD = 15

If we have to find percentage of score between two values we have to find the z-score for both values and then area under the curve for both values

z-score is given by:

for a value x:

z-score = \frac{x-mean}{SD}

So,

For 85:

z-score = z_1 = \frac{85-mean}{SD}\\ = \frac{85-100}{15}\\=\frac{-15}{15}\\=-1

z-score = z_2 = \frac{120-mean}{SD}\\ = \frac{120-100}{15}\\=\frac{20}{15}\\=1.3333

Now we have to find the area under the curve for both values of z-score. z-score tables are used for this purpose.

So,

For z1 : 0.1587

For z2: 0.9082

The area between z11 and z2:

z_2-z_1 = 0.9082-0.1587=0.7495

So the probability of score between 85 and 120 is 0.7495

As the sample is of 900 people, the people with scores between 85 and 120 will be:

900*0.7495 = 674.55 people

Rounding off to nearest whole number

675 people will have score between 85 and 120

Keywords: Probability, SD

Learn more about probability at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

4 0
4 years ago
Prove that : sin^4(2x)=3/8-1/2cos4x+1/8cos8x<br> Someone plzz help!!!
Gekata [30.6K]
Sin^2 (2x) = (1 - cos(4x))/2
---> sin^4 (2x) = (1/4)(1 - cos4x)^2 = (1/4)(1 - 2cos4x + cos^2 (4x)) and replace cos^2(4x) by (1/2)(1+cos(8x)) --->answer
7 0
3 years ago
a student scores 71 out of 100 on a test, if the maximum score on the tests is also 100, what score does the student need to mai
Nonamiya [84]
(71+x)/2=78
71+x=156
x=85

Th student needs to score a min of 85
8 0
3 years ago
Find the sum of the first 150 positive even integers.
Gnoma [55]

Answer:

22650

Step-by-step explanation:

3 0
2 years ago
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