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2 years ago

Please help, this is due by 2:18pm est

Mathematics

1 answer:

My name is Ann [436]2 years ago

3 0

71 and the blank angle are a linear pair/supplementary angles, meaning that their sum is 180 degrees.

71 + y = 180

y = 109

The sum of the interior angles of a triangle is 180 degrees. Therefore, all of the angles inside of the triangle will add up to 180.

109 + 46 + x = 180

x = 25

Answer: x = 25 degrees

Hope this helps!

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a garden is made up of two squares and a quarter circle. what are the perimeter and area of the garden

FrozenT [24]

The complete question in the attached figure

Part A) find the perimeter
[perimeter of the garden]=[perimeter square 1]+[perimeter a quarter circle]+[perimeter square 2]

[perimeter square 1]=5+5+5-----> 15 ft
[perimeter square 2]=5+5+5-----> 15 ft
[perimeter a quarter circle]=(2*pi*r)/4------> 2*pi*5/4-----> 7.85 ft

[perimeter of the garden]=[15]+[7.85]+[15]-------> 37.85 ft

the answer Part A) is
the perimeter of the garden is 37.85 ft

Part B) Find the area of the garden

[Area of the garden]=[Area square 1]+[Area a quarter circle]+[Area square 2]

[Area square 1]=5*5-----> 25 ft²
[Area square 2]=5*5-----> 25 ft²
[Area a quarter circle]=(pi*r²)/4------> pi*5²/4-----> 19.625 ft²

[Area of the garden]=[25]+[19.625]+[25]-------> 69.625 ft²

the answer Part B) is
the Area of the garden is 69.625 ft²

8 0

3 years ago

(1 point) A recent report for a regional airline reported that the mean number of hours of flying time for its pilots is 56 hour

Ray Of Light [21]

Answer:

(53.812 ; 58.188) ; 156

Step-by-step explanation:

Given that :

Sample size (n) = 51

Mean (m) = 56

Standard deviation (σ) = 9.5

α = 90%

Using the relation :

Confidence interval = mean ± Error

Error = Zcritical * (standard deviation / sqrt (n))

Zcritical at 90% = 1.645

Error = 1.645 * (9.5 / sqrt(51))

Error = 1.645 * 1.3302660

Error = 2.1882877

Hence,

Confidence interval :

Lower boundary = 56 - 2.1882877 = 53.8117123

Upper boundary = 56 + 2.1882877 = 58.1882877

Confidence interval = (53.812 ; 58.188)

2.)

Margin of Error (ME) = 1.25

α = 90%

Sample size = ((Zcritical * σ) / ME)^2

Zcritical at 90% = 1.645

Sample size = ((1.645 * 9.5) / 1.25)^2

Sample size = (15.6275 / 1.25)^2

Sample size = 12.502^2 = 156.3000

Sample size = 156

3 0

3 years ago

What is the formula for finding the measure of a missing angle on a triangle?

Marat540 [252]

Answer:

Step-by-step explanation:

you add two angles and then subtract it from 180 degrees

Hopefully it is right

for example: A angle+B angle-180 degrees

3 0

3 years ago

Rewrite the rational exponent as a radical by extending the properties of integer exponents. 2 to the 3 over 4 power, all over 2

Zepler [3.9K]

We are asked in this problem to determine the simplified expression of the statement given. The rules that apply in exponential functions is that when an exponential term is raised to the power of an integer, the simplified term has a degree that is equal to the product of the integers involved. The operations involved should be applicable to terms with the same base number only. In this problem, we thus write:

2^3/4 / 2^1/2 = 2^3/4 * 2^-1/2 = = 2^(3/4 - 1/2) = 2^ 1/4. hence the answer is 2^0.25 or simply equal to 1.1892 determined using a calculator.

6 0

3 years ago

In the right -angled tringles began the ABC in the ED :8cm ,and DC :10cm then the length of the air

fgiga [73]

ED:8cm,DC:10 so the air is HD:18

7 0

3 years ago

Please help, this is due by 2:18pm est​

Please help, this is due by 2:18pm est