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ipn [44]
3 years ago
5

Christopher just found beautiful yarn for 20% off at his favorite yarn store. He can make one scarf from 2/3 of a ball of yarn.

If Christopher buys 12 balls of yarn, how many scarves can he make?
Mathematics
1 answer:
bija089 [108]3 years ago
3 0
Christopher would be able to make 18 scarves.

To solve this problem, we just need to divide 12 by 2/3. To divide 12 by 2/3, we just multiply 12 by 3/2.

This will give us 36 over 2 or just 18.
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Find the four arithmetic means between -21 and -36.
lara31 [8.8K]
The numbers given in the problem above are part of an arithmetic sequence with first and sixth terms equal to -21 and -36, respectively. Firstly, calculate for the common difference (d).
 
                                    d = (-36 - -21) / (6 - 1) = -3

The arithmetic mean is calculated by adding -3 to the term prior to it. 

            a2 = -21 + -3 = -24               a3 = -24 + -3 = -27
            a4 = -27 + -3 = -30               a5 = -30 + -3 = -33

Thus the four arithmetic means are -24, -27, -30, and -33.
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3 years ago
How is the Pythagorean theorem related to the distance<br> formula?
Eddi Din [679]

Answer:

The distance formula is a formalization of the Pythagorean Theorem using (x,y) . They are the same thing (but the distance formula is for working out the distance between two points and Pythagoras theorem is for working out the missing length in a right-angled triangle) in two different contexts.

Step-by-step explanation:

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3 years ago
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How do i find the percentage if my number correct is 68 and my total is 85?
Andreyy89
68 divided by 85 multiply by 100
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The coordinates of the verticies of a rectangle are (-2,3), (4,3), (4,-4) and (-2, -4) what are the demensions of the rectangle?
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3 years ago
Look at the image below plz correct answers Surface area of cones 15 points
monitta

Answer:

A\approx 282.7\ m^2

Step-by-step explanation:

1. Approach

The easiest method to solve this problem is to use the Pythagorean theorem to find the height of the cone. Then one can substitute the values given and found on the cone into the formula to find the surface area in order to solve for the surface area of the given cone.

2. Height of the cone

Imagine drawing a line from the tip of the cone down to the center of the base. This line will form a right angle with the base, thus, a right triangle is formed between the line, the radius (the distance from the center to the circumference or outer edge on a circle) of the base, and the incline of the cone. The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula is as follows:

a^2+b^2=c^2

Where (a) and (b) are the legs or the sides adjacent to the right angle of the right triangle, and (c) is the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown, or rather the height of the cone:

a^2+b^2=c^2

a^2+5^2=13^2

Simplify,

a^2+5^2=13^2

a^2+25=169

Inverse operations,

a^2+25=169

a^2=144

a=12

h=12

3. Find the surface area of the cone.

The following formula can be used to find the surface area of a cone:

A=\pi r(r+\sqrt{h^2+r^2})

Where (\pi) represents the numerical value (3.1415...), (r) represents the radius of the base, and (h) represents the height of the cone. Substitute the given values into the formula and solve for the surface area:

A=\pi r(r+\sqrt{h^2+r^2})

A=\pi 5(5+\sqrt{12^2+5^2})

Simplify,

A=\pi 5(5+\sqrt{12^2+5^2})

A=\pi 5(5+\sqrt{144+25})

A=\pi 5(5+\sqrt{169})

A=\pi 5(5+13)

A=\pi 5(18)

A=\pi 90

A\approx 282.743

3 0
3 years ago
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