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julia-pushkina [17]

3 years ago

9

John, who is 42 years old, has a nephew age 9. In how many years will the age of his nephew be one-fourth John's age. Solve alge

braically.

1 answer:

Andreyy893 years ago

6 0

Answer:

hope this is correct..........

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otez555 [7]

Answer:

20°

Step-by-step explanation:

$arc \: length = \frac{ \theta}{360 \degree} \times circumference \\ \\ \frac{1}{3} = \frac{ \theta}{360 \degree} \times 6 \\ \\ \theta = \frac{360 \degree}{18} \\ \\ \theta =20 \degree$

8 0

3 years ago

Suppose that an urn contains 3 black marbles, 7 yellow marbles, and 10 green marbles. If one marble is selected, determine the p

Yuliya22 [10]

Answer:

1/2

Step-by-step explanation:

Simple probability is a ratio of the number of ways the thing we want to happen can to the total possible outcomes.

(For example, we flip a coin and want heads, but it can land on heads or tails. Our probability of getting heads is 1/2, one way to get heads over the 2 possible outcomes)

So for this problem, there's 20 possible things that CAN happen (3 + 7 + 10) and 10 ways we get what we want (a green marble).

Our probability of getting a green marble is $\frac{10}{20\\}$ , which simplifies to $\frac{1}{2}$

3 0

3 years ago

Start with the standard formula for the area of a triangle, and rewrite it to solve for the base, b.

solong [7]

Answer:

2A/h = b

Step-by-step explanation:

The formula for area of a triangle is

A = 1/2 bh

Multiply each side by 2

2A = 2*1/2 bh

2A = bh

Divide each side by h

2A/h = bh/h

2A/h = b

4 0

3 years ago

Read 2 more answers

The measures of the angles of a convex polygon form an arithmetic sequence. The least measurement in the sequence is 128º. The g

Over [174]

$\bf \qquad \qquad \textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\ a_n=n^{th}~value\\
----------\\
\stackrel{least}{a_1}=128\\\\
\stackrel{greatest}{a_n}=172
\end{cases}$

$\bf S_n=\cfrac{n}{2}(128~+~172)\implies S_n=\cfrac{n}{2}(300)\implies S_n=150n
\\\\\\
\textit{but we also know that sum of all interior angles is }180(n-2)
\\\\\\
\stackrel{\textit{sum of the angles}}{S_n}=\stackrel{\textit{sum of the angles}}{180(n-2)}=150n
\\\\\\
180n-360=150n\implies 30n=360\implies n=\cfrac{360}{30}\implies n=12$

7 0

3 years ago

Read 2 more answers

Please help me !!!!!!!!!

lidiya [134]

Answer:

f(-2) = 0

f(1) = 12

f(2) = 5

Step-by-step explanation:

f(-2) will lie in the function $f(x) =x^2 - 4$

$\therefore f( - 2) = {( - 2)}^{2} - 4 = 4 - 4 = 0$

f(1) will lie in the function $f(x) =2x^2 +10$

$\therefore f(1) = 2 {(1)}^{2} + 10 = 2 + 10 = 12$

f(2) will lie in the function $f(x) =5$

$\therefore f(2) = 5$

5 0

3 years ago