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4 years ago

What it is 7/8 plus 1/12

Mathematics

1 answer:

Kitty [74]4 years ago

5 0

Answer:

23/24

Step-by-step explanation:

7/8 + 1/12

We need a common denominator

Both 8 and 12 go into 24

7/8 *3/3 = 21/24

1/12 *2/2 = 2/24

21/24 + 2/24

23/24

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One angle within a triangle is 76 degrees. What is the value of the exterior angle?

mrs_skeptik [129]

Answer:

The value of the exterior angle is $104\°$

Step-by-step explanation:

we know that

The sum of the interior angle plus the exterior angle is equal to $180\°$ , because are supplementary angles.

Let

x-----> the measure of the exterior angle

$76\°+x=180\°$

solve for x

$x=180\°-76\°=104\°$

4 0

4 years ago

Daniel dives into a swimming pool. The height of his head is represented by the function h(t) = -8t2 - 28t + 60, where t is the

8_murik_8 [283]

So, h(t) is how far is Daniel's head from the surface of the water, namely the surface itself is when the height is nill, so his head is at the surface and the height of it is just 0, thus h(t) = 0. Namely, what is "t" when h(t) is 0?

$\bf h(t)=-8t^2-28t+60\implies \stackrel{h(t)}{0}=-8t^2-28t+60
\\\\\\
0=-2t^2-7t+15\implies 2t^2+7t-15=0\implies (2t+3)(t-5)=0
\\\\\\
\begin{cases}
2t+3=0\implies 2t=-3\implies &t=-\frac{3}{2}\\\\
t-5=0\implies &\boxed{t=5}
\end{cases}$

clearly the seconds cannot be a negative unit, so is not -3/2.

6 0

3 years ago

Each letter of the word "thunderstorm" has been written on a separate slip of paper and put into a box. Find the probability of

xxTIMURxx [149]

SOLUTION

From the question, we want to find the probability of selecting a slip of paper with the letter t on it, then selecting the letter r, with replacement.

This means the probability of selecting t and r.

That is

$P(t)\times P(r)$

There are 12 letters (total outcomes). And there are 2r and 2t.

So probability becomes

$\begin{gathered} \frac{possible\text{ outcome}}{\text{total outcome }} \\ P(t)=\frac{2}{12} \\ P(r)=\frac{2}{12} \\ P(t)\times P(r)=\frac{2}{12}\times\frac{2}{12} \\ =\frac{1}{6}\times\frac{1}{6} \\ =\frac{1}{36} \end{gathered}$

Hence the answer is

$\frac{1}{36}$

7 0

1 year ago

PLZ HELP ASAP CIRCLES PART 2

Sveta_85 [38]

For this case we have the following angle:
theta = (9/5) pi
Having the conversion we have:
theta = ((9/5) pi) * (180 / pi)
Rewriting we have:
theta = (9/5) * (180)
theta = (9/5) * (180)
theta = 324 degrees
Answer:
The angle is equivalent to:
theta = 324 degrees

5 0

3 years ago

Graft the solution to the inequality on the number line. <br><br><br> m>2.8

Oduvanchick [21]

Answer:

See the graph of the given inequality in the attachment as shown below:

Step-by-step explanation:

Given the inequality: $m > 2.8$