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3 years ago

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)

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

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