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3 years ago

The diameter of a wheel on a car is 16 inches. What is the circumference of the wheel? Use 3.14 for pi.

Mathematics

1 answer:

Umnica [9.8K]3 years ago

3 0

Answer:

The circumference of the wheel is 50.24 inches

Step-by-step explanation:

What I did was divide the diameter by two (Because you need to radi to get the diameter) to be sure of the answer. I then, multiplied the diameter by 3.14 to get 50.24in.

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What is the relationship between the unfinished puzzle and the missing piece

Mrac [35]

I would say that the unfinished puzzle has more than one piece and the missing piece is only one, itself.

7 0

3 years ago

The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5

Ivanshal [37]

Answer:

The probability of a customer buying carrots is 0.10.

Step-by-step explanation:

Here, given:

P (Customer buying apples) = 12%

⇒ P(A) = 12 \100 = 0.12

P(Customer Buying apples AND Carrots) = 5%

⇒ P(A ∩ C ) = 5 /100 = 0.05

P(Customer buying apples OR carrots ) = 17%

⇒ P(A∪ C) = 17/100 = 0.17

Now, we know that:

Now, here substituting the values, we get:

P(A∪ C) = P(A) + P(C) - P(A ∩ C )

⇒ 0. 17 = 0.12 + P(C) - 0.05

or, 0.17 - 0.07 = P(C)

or, P(C) = 0.10

or, P(Customer Buying Carrots) = 0.10

Hence, the probability of a customer buying carrots is 0.10.

4 0

3 years ago

In the figure, the measure of angle 9 is 80 degrees and the measure of angle 5 is 68. Find the measure of each angle.

murzikaleks [220]

Answer/Step-by-step explanation:

Given:

m<9 = 80°,

m<5 = 68°

Lines w and v are parallel to each other.

m<1 = m<9 (corresponding angles theorem)

m<1 = 80°

m<2 + m<1 = 180° (linear pair)

m<2 + 80° = 180° (substitution)

m<2 = 180° - 80°

m<2 = 100°

m<3 = m<1 (vertical angles are congruent)

m<3 = 80°

m<4 = m<2 (vertical angles are congruent)

m<4 = 100°

m<6 + m<5 = 180° (linear pair)

m<6 + 68° = 180° (substitution)

m<6 = 180° - 68°

m<6 = 112°

m<7 = m<5 (vertical angles)

m<7 = 68°

m<8 = m<6 (vertical angles)

m<8 = 112°

m<10 = m<2 (corresponding angles)

m<10 = 100°

m<11 = m<9 (vertical angles)

m<7 = 80°

m<12 = m<10 (vertical angles)

m<12 = 100°

m<13 = m<5 (corresponding angles)

m<13 = 68°

m<14 = m<6 (corresponding angles)

m<14 = 112°

m<15 = m<13 (vertical angles)

m<15 = 68°

m<16 = m<14 (vertical angles)

m<16 = 112°

6 0

3 years ago

TRUE OR FALSE: FOR ANY FUNCTION, X=F^-1(Y), THEN Y=F(X). PLEASE EXPLAIN

Vesnalui [34]

Answer:

True.

Step-by-step explanation:

For example let f(x) = 3x + 1 then f-1(x) is found as follows

Let f(x) = y = 3x + 1 then

3x = y - 1

x = (y-1) / 3

x = f-1(x) = (x - 1)/3.

So:

Replacing the x in y by (x - 1)/3 :-

x = f(-1)(y) = ( (3x + 1) - 1) / 3

= 3x / 3

= x.

So y = f(x).

7 0

3 years ago

the perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length. Find the length a

statuscvo [17]

Answer:

Length: 139 feet

Width: 104 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle can be given by $P = 2l + 2w$ . We are given the perimeter of the pool along with the width.

$P = 486$

$w = l - 35$

From here, all we have to do is plug back into the original formula:

$486 = 2l + 2(l - 35)$

Which can be further simplified as:

$486 = 2l + 2l - 70$

$486 = 4l - 70$

From here, all we have to do is add 70 to both sides of the equation and divide by four:

$556 = 4l$

$139 = l$

To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:

$P = 2l + 2w$

$P = 2(139) + 2(104)$

$P = 278 + 208$

$P = 486$

And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.

5 0

3 years ago

Read 2 more answers