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Tatiana [17]
3 years ago
8

Write the following using index notation: a) 4x4

Mathematics
1 answer:
Sonbull [250]3 years ago
8 0

Answer:

4^{2}\\

Step-by-step explanation

4 is multiplied 2 times. That means it has an index of 2, therefore, the answer is 4 squared.

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Solve for x! 37m,12m,5xm
dmitriy555 [2]

Answer:

\Huge\boxed{x=7}

Step-by-step explanation:

Hello there!

The first thing we want to do is find the measure of the large leg

To do so we use the Pythagorean theorem which says a^2+b^2=c^2\\

where a and b are legs and c is the hypotenuse

we want to find b given the hypotenuse and short leg

so  b^2=c^2-a^2

all we have to do is plug in a ( a = short leg so a would equal 12) and c ( c = hypotenuse so c would equal 37)

so

b^2=37^2-12^2\\37^2=1369\\12^2=144\\1369-144=1225\\b^2=1225\\\sqrt{b^2} =b\\\sqrt{1225} =35\\b=35

so the longer leg is equal to 35

35=5x

divide each side by 5

5x/5=x

35/5=7

we're left with x=7

3 0
3 years ago
A bee lands on a random point on a ruler edge. find the probability that the point is between 3 and 5.
LekaFEV [45]
It  would be 1/4 because there are 12 inches on a ruler. And if it lands between 3 and 5 there are 3 chances out of 12 that it will land between 3 and 5.  3/12 simplifies to 1/4

6 0
3 years ago
Read 2 more answers
In ∆ABC, m∠A = 60º, m∠C = 30º, and AB = 6 inches. What is the length of side BC?
Alex17521 [72]

The length of the side BC is 6√3 inches

Step-by-step explanation:

Let us revise the sine rule

In Δ XYZ

  • The side XY is opposite to angle Z
  • The side YZ is opposite to angle X
  • The side XZ is opposite to angle Y
  • The sine rule is \frac{XY}{sin(Z)}=\frac{YZ}{sin(X)}=\frac{XZ}{sin(Y)}

In Δ ABC

∵ m∠A = 60°

∵ m∠C = 30°

∵ AB = 6 inches

- By using the sine rule

∵ AB is opposite to ∠C

∵ BC is opposite to ∠A

∵  \frac{AB}{sin(C)}=\frac{BC}{sin(A)}

∴ \frac{6}{sin(30)}=\frac{BC}{sin(60)}

- By using cross multiplication

∴ BC × sin(30) = 6 × sin(60)

∵ sin(30) = \frac{1}{2}  and sin(60) = \frac{\sqrt{3}}{2}

∴ \frac{1}{2} BC = 6( \frac{\sqrt{3}}{2} )

∴ \frac{1}{2} BC = 3\sqrt{3}

- Multiply both sides by 2

∴ BC = 6√3

The length of the side BC is 6√3 inches

Learn more:

You can learn more about the triangles in brainly.com/question/1238144

#LearnwithBrainly

4 0
3 years ago
A bacteria culture starts with 100 bacteria and doubles in size every half hour. (a) how many bacteria are there after 4 hours?
Savatey [412]
19200 all you have to do to figure this out is multiply 100 times 8 since the is 8 halfs in 4 hours.
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5 0
3 years ago
Write the numbers in order from least to greatest
spayn [35]

C.) -4, -7/5, 1/6, 1.6, \sqrt{6}


\sqrt{6} = 2.45

1.6

1/6 = 0.167

-7/5 = -1.4

-4

4 0
3 years ago
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