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3 years ago

If J/24 = K, then J/6 =

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

8 0

Answer:

Step-by-step explanation:

$\frac{J}{24}$ = K ( multiply both sides by 24 to clear the fraction )

J = 24K ( divide both sides by 6 )

$\frac{J}{6}$ = 4K

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The national debt of a country is

olganol [36]

Answer: $3 \times 10^{13}$

Explanation:

Highlight the first digit on the very left (2). The 7 right next to it means we'll round that 2 up to a 3. Every other digit becomes a zero.

The number 27,895,168,401,112 rounds to 30,000,000,000,000 which is the number 30 trillion.

It converts to the scientific notation $3 \times 10^{13}$ because we basically start with 3.0 and move the decimal point 13 spots to the right to arrive at 30 trillion as shown above.

8 0

3 years ago

The expression P(4, 3) is equal to:<br> -3!<br> -4!<br> - 1

nexus9112 [7]

Answer:

$P(4,3) = 4!$

Step-by-step explanation:

Given

P(4,3)

Required

Solve

Using permutation formula;

$P(n,r) = \frac{n!}{(n-r)!}$

This implies that

$P(4,3) = \frac{4!}{(4-3)!}$

$P(4,3) = \frac{4!}{(1)!}$

$P(4,3) = \frac{4!}{1!}$

$P(4,3) = \frac{4!}{1}$

$P(4,3) = 4!$

6 0

3 years ago

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.

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

$\bf \pm\sqrt{13^2-5^2}=a\implies \pm\sqrt{144}=a\implies \pm 12 =a \implies \stackrel{II~quadrant}{-12=a}
\\\\\\
therefore \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{-12}}{\stackrel{hypotenuse}{13}}
\\\\
-------------------------------\\\\
sin(2\theta )\implies 2sin(\theta )cos(\theta )\implies 2\left(\frac{5}{13} \right)\left( \frac{-12}{13} \right)\implies -\cfrac{120}{169}$

3 0

3 years ago

What is the answer of this question?

polet [3.4K]

Answer:

116

Step-by-step explanation:

8.2 / 2 = 4.1

a = $\sqrt{7^{2}-4.1^{2} } = 5.6736$

0.5 x 8.2 x 5.6736 = 23.2618

23.2618 x 5 = 116.309 = 116

7 0

3 years ago

Six times the difference of a number and three is equal to three less than the number.

icang [17]

Answer:

x=3

Step-by-step explanation:

lets take x as the number

6(x-3)=x-3

since it says "6 times" we know that we will have to multiply the difference by 6 and it says the difference of a number and 3 is equal to 3 less than the number so we know that we are subtracting 3 from x

6x-18=x-3

6x-x=18-3

5x=15

x=3

3 0

3 years ago