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Mkey [24]
1 year ago
14

A circle rolls once, without slipping, along the outside of a square with sides of length 4 inches, and returns to its starting

point at A. The radius of the circle is 1 inch. To the nearest hundredth of an inch. how far does the center of the circle travel? (Use 3.14 for pi)
PLS PLS HELP. And show work and explain!

Mathematics
1 answer:
pentagon [3]1 year ago
3 0

Answer:

16 inches

Step-by-step explanation:

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Sam’s parents agreed to pay 25 percent of the cost of a new bike if Sam paid the rest. If Sam’s parents paid $65, what was the p
mixer [17]
The original price would be 260 I think. Because if they paid 25% that should be 1/4 so add 65 three more times.
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2 years ago
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A spinner with 4 congruent sectors labeled 1-4 is spun. Then a die is rolled. What is the probability of getting even numbers on
SOVA2 [1]
The spinner is divided into 4 equal sections number 1 to 4.

So, for spinner, total sections = 4
Favorable sections = 2 (i.e sections with even numbers)

So, probability of getting even number on the spinner = 2/4 = 1/2

Total number of outcome when a dice is rolled = 6
Favorable outcomes= 3 (i.e outcomes with 2,4 and 6)

So, probability of getting an even number = 3/6 = 1/2

Since both events are independent, we can write:

The probability of getting an even number in both events = 1/2 x 1/2 = 1/4
4 0
2 years ago
What value of x would make KM ∥ JN?
stepan [7]

Answer:

x = 10

Step-by-step explanation:

By the converse of the side-splitter theorem, if \dfrac{JK}{KL}= \dfrac{NM}{ML} , then KM ∥ JN.

Substitute the expressions into the proportion:

\dfrac{x-5}{x}= \dfrac{x-3}{x+4}

Cross-multiply:

(x – 5)(x+4) = x(x – 3).

Distribute:

x(x) + x(4) - 5(x) - 5(4) = x(x) + x(-3).

Multiply and simplify:

x^2 +4x- 5x - 20 = x^2-3x\\-x-20=-3x\\$Collect like terms$\\-x+3x=20\\2x=20\\$Divide both sides by 2\\x=10

Solve for x: x = 10

Therefore, the value of x that would make KM parallel to JN is 10.

4 0
1 year ago
Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that
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ракеп

Step-by-step explanation:

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7 0
1 year ago
An ice cream stand uses the expression 2 + 0.5x2+0.5x2, plus, 0, point, 5, x to determine the cost (in dollars) of an ice cream
Rashid [163]

Answer:

An ice cream cone with 5 scoops cost is, $4.5

Step-by-step explanation:

As per the statement:

An ice cream stand uses the expression 2+0.5x to determine the cost of an ice cream cone that has x scoops of ice cream.

⇒ Cost of an ice cream cone C(x) = 2+0.5x         .....[1]

Given: x = 5 scoops

We have to find the cost of an ice cream cone with 5 scoops cost.

Substitute the given value of x =5 in [1] we have;

C(5) = 2+0.5(5)

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Therefore, an ice cream cone with 5 scoops cost is, $4.5

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1 year ago
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