A small ice cream shop sold 120 ice cream cones last weekend. It sold 42 vanilla cones, 53 chocolate cones, and 25 strawberry cones. What angle measure should be used for chocolate cones in a circle graph of the data?

Answer:

a. The approximate surface area of the Earth based on the diameter of the Earth measured from the poles is approximately 1.961 × 10⁸ mi²

The approximate surface area of the Earth based on the diameter of the Earth measured from the equator is approximately 1.974 × 10⁸ mi²

b. The surface area of the water on Earth using the diameter of the Earth measured from opposite points of the equator is approximately 1.480 × 10⁸ mi²

Step-by-step explanation:

The given parameters are;

The diameter of the Earth measured from the North to the South pole, [tex]D_p[/tex] = 7899.83 miles

The diameter of the Earth measured from (across) opposite points of the equator, [tex]D_e[/tex] = 7926.41 miles

a. The surface area, [tex]A_E[/tex], of the Earth, taking the Earth as a perfect sphere, is given as follows;

A = 4 × π × r²

Where;

r = The radius of the sphere = 1/2 × the diameter of the sphere

For the diameter measured from poles, [tex]r_p[/tex] = [tex]D_p[/tex]/2 = (7899.83 miles)/2 = 3949.915 miles

The approximate surface area of the Earth based on the diameter of the Earth measured from the poles, [tex]A_{Ep}[/tex] = 4 × π × (3949.915 miles)² = 196058359.283 mi² ≈ 1.961 × 10⁸ mi²

For the diameter measured from equator, [tex]r_e[/tex] = [tex]D_e[/tex]/2 = (7926.41 miles)/2 = 3963.205 miles

The approximate surface area of the Earth based on the diameter of the Earth measured from the equator, [tex]A_{Ee}[/tex] = 4 × π × (3963.205 miles)² = 197379906.233 mi² ≈ 1.974 × 10⁸ mi²

b. The percentage of the surface area of the Earth covered by water ≈ 75%

The surface area of water on Earth using the diameter of the Earth = 7926.41 miles (the diameter measured from the equator), we have;

The area of the Earth with a diameter of 7926.41 miles was given as  [tex]A_{Ee}[/tex] = 4 × π × ((7926.41 miles)/2)² = 197379906.233 mi²

The surface area of the water on Earth = 75% × The area of the Earth = 75/100 × 197379906.233 = 148034929.675 mi² ≈ 1.480 × 10⁸ mi²

Answer:

-3/2

Step-by-step explanation:

10 -(-5)/-7-3

15/-10

-3/2

Answer:

hey dear the smallest composite number is 4

Answer:

greater than 27 less than 48

Step-by-step explanation:

Answer:

8 × 10^4

Step-by-step explanation:

Count the number of zeros after 8.

Answer:

80,000= 8*10^4

Step-by-step explanation:

I hope this helps!!!!!

Answer:

the answer is 12 thankyou lorcolantro for wasting our time

Step-by-step explanation:

ya lorcolantro you made me F

The value of the given expression j³k/h⁰ at h = 8, j = -1, and k = –12 will be 12 so option (B) will be correct.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given the expression is

j³k/h⁰

Substituting h = 8, j = -1, and k = –12 into the expression

(-1)³(-12)/(8)⁰ = -1 × (-12)/1 = 12

Hence " The value of the given expression j³k/h⁰ at h = 8, j = -1, and k = –12 will be 12".

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Answer:

Answer: he could work 7 hours tutoring and 6 hours clearing tables

Step-by-step explanation:

The system of inequalities can be used to find the number of hours Logan

can spend on each job in a week.

Response:

The system of inequalities are;

A possible solution of the system of inequality obtained from the graph is the point (5, 8)

The amount Logan makes per hour tutoring = $18 per hour

The amount he makes clearing tables = $10 per hour

Number of hours Logan can work in a week = 13

Amount he must earn in a week = At least $170

Number of hours he spends tutoring = x

Number of hours he spends clearing tables = y

Based on the given information, we have;

Please find attached the graph of the above inequality showing the feasible region.

A possible solution obtained from the feasible region is the point of intersection of the two inequalities which is the point (5, 8), which gives;

Therefore, Logan can spend 5 hours tutoring and 8 hours clearing tables in a week to work for 13 hours and make $170.

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Answer:

x=30

Step-by-step explanation:

So we know its a supplementary angle which is angles athat add up to 180 degrees since its a straight line.

Make an equation: 60+60+2x=180COmbine like terms

120+2x=180

subtract 120 on both sides

2x=60

x=30

The third line shows the solutions to n > 0.

The correct option is third line.

A horizontal line with uniformly spaced numerical increments is referred to as a number line.

The way the number on the line can be replied will depend on the numbers on the line.

The number's intended use is described in the question that goes with it, such as when graphing a point.

Locating numbers, comparing numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and other mathematical concepts may all be taught using number lines, which are incredibly versatile manipulatives.

We have a number-line.

To find the number line that shows the solution, n > 0:

n is greater than 0.

At 0, there is an open dot circle.

And the line should be extended toward positive infinity.

Therefore, third line is required number line.

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Answer:

3

Step-by-step explanation:

RS + ST will equal RT.

So, 2 + 3x must equal 5x.

2+3x = 5x

2 = 2x

x = 1

ST = 3x

ST = 3*(1)

ST = 3

Answer:

the answer is 25 insects because that's what the y-intercept is. the y-intercept is the start of the project because it is "0 weeks" on the x-axis

Answer:

r= -6

Step-by-step explanation:

Answer:

Ameliorate retort, pertaining to reinstating interrogate is B., -12.

Step-by-step explanation:

Availing albeit maneuvering the Order of Operations (OO), the contiguous albeit proximate expression may evaluate as the preeminent imminent:

- Thus, the ameliorate retort, reinstating interrogate is the aggregate, -12.

*Hope this helps.

Answer:

18/25

Step-by-step explanation:

i dont have an explanation

Answer:

no one ate any bagels apparently lol

Step-by-step explanation:

Answer: False

Step-by-step explanation:

Although it does go through y= -4

Doing Rise/Run we go up 2 and and over to the right 3 and see it does not cross through the point.

Answer:

C.) 35

Step-by-step explanation:

Supplementary angles equal 180, therefore, the opposite side of both the angles 90 and 125, must be 180 minus that value.

180-125=55

180-90=90

Now we know that the two inside angles equal 55 and 90. Together, that's 145.

Since all the angles within a triangle equal 180, we subtract the two other angles to find p.

180-145=35

Answer:

9

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

f(x)=(−1,−6)

g(x)=(−2/3,7/3)

Step-by-step explanation:

What are we finding the vertex

Answer:

A. -2x^2-2x-4

Step-by-step explanation:

:D

Answer:

the square root of 20 could be between 4 and 5 OR -4 and -5.

Step-by-step explanation:

plus or minus 4 squared is 16 and plus or minus 5 squared is 25. finally, 20 is between 16 and 25.

Answer:

B. (2x + 3y)(x - y)

Step-by-step explanation:

[tex]2x^{2} +xy-3y^{2}[/tex]               Write x y as a difference

[tex]2x^{2} +3xy-2xy-3y^{2}[/tex]    Factor out x from the equation

[tex]xx(2x+3y)-yx(2x+3y)[/tex]   Factor out 2x+3y from the expression

[tex](2x+3y)x(x-y)[/tex]               <----- Answer

The factors of  [tex]2x^2 + xy - 3y^2[/tex] are [tex](x - y) (2x+ 3y)[/tex].

Factors is a number or algebraic expression that divides another number or expression. i.e., with no remainder

We have,

[tex]2x^2 + xy - 3y^2[/tex]

Now,

Using the middle term split method,

[tex]2x^2 + xy - 3y^2[/tex]

Splitting the mid term;

[tex]2x^2 - 2xy + 3xy - 3y^2[/tex]

Now taking commons,

[tex]2x(x - y) + 3y(x - y)[/tex]

Now again taking common factors

We get,

[tex](x - y) (2x+ 3y)[/tex]

So, the factors of given expression are [tex](x - y) (2x+ 3y)[/tex].

Hence, we can say that the factors of  [tex]2x^2 + xy - 3y^2[/tex] are [tex](x - y) (2x+ 3y)[/tex] which are given in option [tex](B)[/tex] .

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Step-by-step explanation:

the c is true

❤❤❤❤❤

Answer:

8/19

Step-by-step explanation:

.....................................

Answer:

30 Bows

Step-by-step explanation:

Every yard is 3 feet, and each bow calls for 1/3 of a yard, so a foot per bow.

So you can make 10 yards, 30 feet by multiplying by 3, and then its pretty straight forward from there. 30 / 1 = 30 Bows

a = 3 and b = 2...........