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Helen [10]
2 years ago
6

A grounds crew is marking out a circular logo at the center of a football field. The logo will

Mathematics
1 answer:
patriot [66]2 years ago
8 0

Answer:

circumference of a circle formula is C=2*pi*r

Step-by-step explanation:

then  

141.3 = 2*pi * r

solve for r

141.3/ (2*pi) = r

22.48859 feet

diameter is  2*r

2*22.48859= 44.9771 feet

divide by 3 because there are 3 feet in one yard

44.9771/3= 14.99239 yds.  

it doesn't say to round off, but I would call this 15 yds.

Diameter is 15 yards   ± .008 yds  That's just about 1/4 of an inch

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Solve for x and y. (Geometry) <br> Can you also show the steps of how u did it
Kazeer [188]

Answer:

y = 10

x = 25

Step-by-step explanation:

From the U theorem the sum of these two angles 120+2x+y = 180

same goes for the bottom part too:

2x-y+140 = 180 now add two equations up

120+2x+y + 2x-y+140 = 180 + 180 add like terms (-y will eliminate +y)

4x + 260 = 360 subtract 260 from both sides

4x = 100 divide both sides by 4

x = 25 since the sum of 2x-y+140 = 180 we can find the value of y by replacing x with 25

2*25 - y + 140 = 180

50 - y + 140 = 180 add like terms

190 - y = 180 subtract 190 from both sides

-y = -10 and y = 10

8 0
2 years ago
Which shows all of the solutions of the equation? h e l p
dalvyx [7]
Answer is x=4/11
just square root 16/121
4 0
3 years ago
What is the distance to the earth’s horizon from point P?
Klio2033 [76]

The distance to the earth’s horizon from point P is 281.6 miles

<h3>How to determine the distance to the earth’s horizon from point P?</h3>

The tangent line from P meets the radius of the earth at a right angle.

This means that the triangle is a right triangle.

The length of x is then calculated as:

(3959 + 10)^2= 3959^2 + x^2

Rewrite as:

x^2 = (3959 + 10)^2- 3959^2

Evaluate

x^2 = 79280

Take the square root of both sides

x = 281.6

Hence, the distance to the earth’s horizon from point P is 281.6 miles

Read more about distance at:

brainly.com/question/3503424

#SPJ1

7 0
2 years ago
What is the length of EF¯¯¯¯¯? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. ft
Dovator [93]
When finding the third side of a scalene triangle, use Law of Cosine with its formula

c^2 = A^2+B^2 - 2AB(cosC)

Now, you just have to input all your data in the formula, 

c^2 = 6^2+11^2 - 2(6)(11)(cos40degrees)
c^2 = 36+121 - 2(6)(11)(cos40degrees)
c^2 = 36+121 - 2(6)(11)(0.77)
c^2 = 157 - 101.12
c^2 = 55.88
c = square root of 55.88
c = 7.48 ft

Length of EF is 7.48 ft
4 0
3 years ago
Read 2 more answers
A machine used to regulate the amount of a certain chemical dispensed in the production of a particular type of cough syrup can
olchik [2.2K]

Answer:

The mean value of the chemical to be added to every bottle of syrup so that the bottle wont be rejected would be = 1.41750 ml

Step-by-step explanation:

Standard deviation ( σ )= 0.250 ml

assume the required amount of chemical to be deposited in each syrup bottle to be X

Hence the distribution of X in each bottle can be represented as :

X Г N ( u , 0.250 )

for a bottle not to be rejected  :  P ( X ≤ 2 )

To determine the setting so that no more than 1% of the bottles of cough syrup prepared by this machine will be rejected we have to standardize the variable X

at X = 2 ml

\frac{x - u }{std}  = \frac{2 - u}{std}

z = \frac{2-u}{0.250} = z ----------- ( 1 )

probability for a bottle to be rejected : P( x >2 ) = 1 - P ( x ≤ 2 )

                                                                             = 0.01

attached below is a normal distribution curve showing probability values

from the curve

p( 0 < Z < z ) = 0.5 - 0.01 = 0.49  

Area = 0.49 hence from the Normal table where area = 0.49 the value of z = 2.33

Referring back to equation 1 above:  z = \frac{2-u}{0.250} = 2.33 --------- (2)

<em>u</em> = mean value that should be added so that the bottle will not be rejected

make <em>u</em> subject of the equation : u = 2 - ( 2.33 * 0.250 )

                                                       u = 1.41750

The mean value of the chemical to be added to every bottle of syrup so that the bottle wont be rejected would be = 1.41750 ml

6 0
3 years ago
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