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3 years ago

Combine and simplify these radicals. √8* √ 20

Mathematics

2 answers:

guapka [62]3 years ago

8 0

Answer:

4√10

Step-by-step explanation:

√(8) √(20)

= √(8 x 20)

= √(160)

= √(16 x 10)

= √(16) x √(10)

= 4 x √10

= 4√10

Natasha2012 [34]3 years ago

4 0

Answer:

4 $\sqrt{10}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Given

$\sqrt{8}$ × $\sqrt{20}$

= $\sqrt{8(20)}$

= $\sqrt{160}$

= $\sqrt{16(10)}$

= $\sqrt{16}$ × $\sqrt{10}$

= 4 $\sqrt{10}$

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A sector with arc measure 72º has an

Lisa [10]

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's find the Radius ~

$\qquad \sf \dashrightarrow \: area = \frac{ \theta}{360} \times \pi {r}^{2}$

$\qquad \sf \dashrightarrow \: 80= \frac{ 72}{360} \times \pi {r}^{2}$

$\qquad \sf \dashrightarrow \: {r}^{2} = \frac{80 \times 360}{72 \times \pi}$

$\qquad \sf \dashrightarrow \: {r}^{2} = \frac{80 \times 5}{ \pi}$

$\qquad \sf \dashrightarrow \: {r}^{} = \sqrt\frac{400}{ \pi}$

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I hope you understood the whole procedure, let me know if you have doubts ~

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8 0

2 years ago

a carpenter is making a circular table top with circumference 4.5 what is the radius of the table top in centmetres

sineoko [7]

That's going to depend completely on the unit of
the 4.5 which, sadly, you have not mentioned.

3 0

3 years ago

Read 2 more answers

Which of the following describes the transformation from Figure 1 to Figure 2?

Anna35 [415]

Answer:

Reflection over the Y axis-

Step-by-step explanation:

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3 years ago

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An assembly line worker at rob bicycle factory adds a seat to a bicycle at a rate of 2 seats every 12 minutes write and solve a

Arturiano [62]

Answer:

6N = T

They will take 96 minutes to add 16 seats.

Step-by-step explanation:

In the factory, the workers add bicycle seats at a rate of 2 seats every 12 minutes.

If the number of seats they add is N and the number of minutes it takes is T, then they are proportional i.e. N ∝ T.

⇒ N = kT ........... (1)

Now, N = 2 for T = 12 minutes.

So, from equation (1), 2 = 12k

⇒ $k = \frac{1}{6}$

Therefore, the equation (1) becomes $N = \frac{1}{6}T$

⇒ 6N = T ......... (2)

Now, for N = 16, from equation (2) we get,

T = 16 × 6 = 96 minutes.

Therefore, they will take 96 minutes to add 16 seats. (Answer)

5 0

3 years ago

What is the rate of change for a linear function that passes through the points (8, -10) and (-6, 14)

Anna71 [15]

Answer: $m=-1.714$

Step-by-step explanation:

By definition, the slope of the line is described as "Rate of change".

You need to use the following formula to calcualte the slope of the line;

$m=\frac{y_2-y_1}{x_2-x_1}$

In this case you know that the line passes through these two points: (8, -10) and (-6, 14).

Then, you can say that:

$y_2=-10\\y_1=14\\\\x_2=8\\x_1=-6$

Knowing these values, you can substitute them into the formula for calculate the slope of a line:

$m=\frac{-10-14}{8-(-6)}$

Finally, you must evaluate in order to find the slope of this line. You get that this is:

$m=\frac{-24}{8+6}\\\\m=\frac{-24}{14}\\\\m=-\frac{12}{7}\\\\m=-1.714$

8 0

4 years ago