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erma4kov [3.2K]
3 years ago
13

What is the differenece between the largest prime number less than 50 and the smallest composite number greater than 10?

Mathematics
2 answers:
Viefleur [7K]3 years ago
3 0
A)37 because is a prime number just sear up prime numbers on google

Katarina [22]3 years ago
3 0
The biggest prime number less than 50 is 47 and the smallest composite number greater than 10 is 11. 47-11=36 which is the correct answer
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Find the exact value of sin2 theta given sin theta =5/13, 90°<theta <180°
Zepler [3.9K]
Now, we know that 90°< θ <180°, that simply means the angle θ is in the II quadrant, where sine is positive and cosine is negative.

\bf sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{hypotenuse}{13}}\impliedby \textit{now let's find the \underline{adjacent side}}&#10;\\\\\\&#10;\textit{using the pythagorean theorem}\\\\&#10;c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad &#10;\begin{cases}&#10;c=hypotenuse\\&#10;a=adjacent\\&#10;b=opposite\\&#10;\end{cases}

\bf \pm\sqrt{13^2-5^2}=a\implies \pm\sqrt{144}=a\implies \pm 12 =a \implies \stackrel{II~quadrant}{-12=a}&#10;\\\\\\&#10;therefore \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{-12}}{\stackrel{hypotenuse}{13}}&#10;\\\\&#10;-------------------------------\\\\&#10;sin(2\theta )\implies 2sin(\theta )cos(\theta )\implies 2\left(\frac{5}{13}  \right)\left( \frac{-12}{13} \right)\implies -\cfrac{120}{169}
3 0
4 years ago
Terry wants to divide his 120 baseball cards into two groups, so that the ratio of the number of cards in the first group to the
Naddik [55]
Let the number of cards in each group be 2x and 3x.
So,
2x + 3x = 120
5x = 120
x = 120 / 5
x = 24
Number of cards in each group is
2x = 2 × 24 = 48
3x = 3 × 24 = 72
7 0
3 years ago
What is the product of 5/10 x 4/5 in lower terms (simplified)?*
xenn [34]
If I’m not wrong 2/5
6 0
3 years ago
Read 2 more answers
Please help. I’ll mark you as brainliest if correct!
Ksenya-84 [330]

answer is g(x)=|x+2|-1

5 0
3 years ago
Read 2 more answers
The Research Triangle in North Carolina is formed by Raleigh, Durham, and Chapel Hill. Is this triangle a right triangle? Explai
ryzh [129]

The triangle is not a right triangle. This is because the sum of the square of the two shorter lengths is not equal to the square of the longest length.

<h3>Is the triangle a right triangle?</h3>

In order to determine if the triangle is a right triangle, Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

12 ² + 24²

= 144 + 576 = 720

29² = 841

To learn more about Pythagoras theorem, please check: brainly.com/question/14580675

#SPJ1

7 0
2 years ago
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