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krok68 [10]
3 years ago
8

Shirley wants to find the distance her unicycle moves on the sidewalk when the tire makes one complete revolution. If the diamet

er of her unicycle tire is 14 inches, find the distance the unicycle moves in one complete revolution. Use as an approximation for pi.
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
6 0

Answer:

44 in

Step-by-step explanation:

The circumference of the tire will be the same as the distance the unicycle moves in one complete revolution.

Find the circumference with the formula C = \pid, where d is the diameter

Plug in the values:

C = \pi(14)

C = approx. 44 in

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This question is really confusing me, it talks about unknown angle problems with Algebra.
Sever21 [200]

Answer:

20

Step-by-step explanation:

The two given and marked angles add up to 90.

A = x

B = 3x + 10

A + B = 90          Substitute for A and B. A and B are just letters I gave things.

x + 3x + 10 = 90        Combine the left

4x + 10 = 90              Subtract 10 from both sides.

4x +10-10 = 90-10     Combine

4x = 80                      Divide by 4

4x/4=80/4

x = 20

3 0
3 years ago
Read 2 more answers
A trapezoid and a rectangle are both quadrilaterals. This means they both have_____ sides and_______ angles. The angles in a rec
Yanka [14]

Answer:

both have equal sides and equal Angel's

the angels In a rectangle 4 sides

the angles in a trapezoid is 4 sides

4 0
2 years ago
A box contains 24 transistors,4 of which are defective. If 4 are sold at random,find the following probabilities. i. Exactly 2 a
zavuch27 [327]

SOLUTION

This is a binomial probability. For i, we will apply the Binomial probability formula

i. Exactly 2 are defective

Using the formula, we have

\begin{gathered} P_x=^nC_x\left(p^x\right?\left(q^{n-x}\right) \\ Where\text{ } \\ P_x=binomial\text{ probability} \\ x=number\text{ of times for a specific outcome with n trials =2} \\ p=\text{ probability of success = }\frac{4}{24}=\frac{1}{6} \\ q=probability\text{ of failure =1-}\frac{1}{6}=\frac{5}{6} \\ ^nC_x=\text{ number of combinations = }^4C_2 \\ n=\text{ number of trials = 4} \end{gathered}

Note that I made the probability of being defective as the probability of success = p

and probability of none defective as probability of failure = q

Exactly 2 are defective becomes the binomial probability

\begin{gathered} P_x=^4C_2\times\lparen\frac{1}{6})^2\times\lparen\frac{5}{6})^{4-2} \\ P_x=6\times\frac{1}{36}\times\frac{25}{36} \\ P_x=\frac{25}{216} \\ =0.1157 \end{gathered}

Hence the answer is 0.1157

(ii) None is defective becomes

\begin{gathered} \lparen\frac{5}{6})^4=\frac{625}{1296} \\ =0.4823 \end{gathered}

hence the answer is 0.4823

(iii) All are defective

\begin{gathered} \lparen\frac{1}{6})^4=\frac{1}{1296} \\ =0.00077 \end{gathered}

(iv) At least one is defective

This is 1 - probability that none is defective

\begin{gathered} 1-\lparen\frac{5}{6})^4 \\ =1-\frac{625}{1296} \\ =\frac{671}{1296} \\ =0.5177 \end{gathered}

Hence the answer is 0.5177

3 0
11 months ago
find the present value that will grow to $7000 if the annual interest rate is 3.5% compounded quarterly for 9 uears
Gwar [14]
PV=FV/(1+i)^t

FV=7000, i=3.5%=0.035,t=9

put everything in the formula
PV=7000/(1+0.035)^9
PV=$5136.12
7 0
3 years ago
PLEASE HELP I WILL GIVE EXTRA POINTS
Evgen [1.6K]

Answer:

  C

Step-by-step explanation:

A relation is a function if each input gives exactly one output. There is one price for each number of pounds, so the relation is a function.

__

<em>Additional comment</em>

Relations expressed in terms of ordered pairs or tables can be identified as "not a function" if any input (x) value is repeated. Relations expressed as a graph will be "not a function" if any vertical line intersects the graph at more than one point. (This is called "the vertical line test.")

The cost function in this case is a straight line through the origin. It has a slope of $5.99/lb. Any polynomial relation will be a function.

6 0
2 years ago
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