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3 years ago

13

WILL GIVE BRAINIEST IF ANSWERED. Lucy is looking for a portable memory device. She found a 1 gigabyte flash drive for $74.95. If

1 gigabyte equals approximately 1,000,000,000 bytes, what is the price of 1 byte?

1 answer:

Nata [24]3 years ago

4 0

1 byte equals 0.00000007495$

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Given: △ABC, AB=5sqrt2 <br> m∠A=45°, m∠C=30°<br> Find: BC and AC

Marysya12 [62]

BC is 10 units and AC is $5+5\sqrt{3}$ units

Step-by-step explanation:

Let us revise the sine rule

In ΔABC:

$\frac{AB}{sin(C)}=\frac{BC}{sin(A)}=\frac{AC}{sin(B)}$
AB is opposite to ∠C
BC is opposite to ∠A
AC is opposite to ∠B

Let us use this rule to solve the problem

In ΔABC:

∵ m∠A = 45°

∵ m∠C = 30°

- The sum of measures of the interior angles of a triangle is 180°

∵ m∠A + m∠B + m∠C = 180

∴ 45 + m∠B + 30 = 180

- Add the like terms

∴ m∠B + 75 = 180

- Subtract 75 from both sides

∴ m∠B = 105°

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

∵ AB = $5\sqrt{2}$

- Substitute AB and the 3 angles in the rule above

∴ $\frac{5\sqrt{2}}{sin(30)}=\frac{BC}{sin(45)}$

- By using cross multiplication

∴ (BC) × sin(30) = $5\sqrt{2}$ × sin(45)

∵ sin(30) = 0.5 and sin(45) = $\frac{1}{\sqrt{2}}$

∴ 0.5 (BC) = 5

- Divide both sides by 0.5

∴ BC = 10 units

∵ $\frac{AB}{sin(C)}=\frac{AC}{sin(B)}$

- Substitute AB and the 3 angles in the rule above

∴ $\frac{5\sqrt{2}}{sin(30)}=\frac{AC}{sin(105)}$

- By using cross multiplication

∴ (AC) × sin(30) = $5\sqrt{2}$ × sin(105)

∵ sin(105) = $\frac{\sqrt{6}+\sqrt{2}}{4}$

∴ 0.5 (AC) = $\frac{5+5\sqrt{3}}{2}$

- Divide both sides by 0.5

∴ AC = $5+5\sqrt{3}$ units

BC is 10 units and AC is $5+5\sqrt{3}$ units

Learn more:

You can learn more about the sine rule in brainly.com/question/12985572

#LearnwithBrainly

6 0

3 years ago

Which of the following demonstrates how the 20 is calculated using the combination pattern

UNO [17]

The combination expression that demonstrates how the 20 is calculated using the combination pattern is 6C3

<h3>Permutation and Combination</h3>

While combination has to do with selection, permutation has to do with arrangement.

According to the combination rule

nCr = n!/(n-r)!r!

The expression that gives the result of 20 is expressed below;

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

6C3 = 6!/6*6
6C3 = 720/36
6C3 =20

Hence the combination expression that demonstrates how the 20 is calculated using the combination pattern is 6C3

Learn more on combination here: brainly.com/question/4658834

#SPJ1

5 0

2 years ago

Find the value of x (3/5)^x(5/3)^2x=125/27

lesya692 [45]

Given:

The equation is

$\left(\dfrac{3}{5}\right)^x\left(\dfrac{5}{3}\right)^{2x}=\dfrac{125}{27}$

To find:

The value of x.

Solution:

We have,

$\left(\dfrac{3}{5}\right)^x\left(\dfrac{5}{3}\right)^{2x}=\dfrac{125}{27}$

$\left(\dfrac{5}{3}\right)^{-x}\left(\dfrac{5}{3}\right)^{2x}=\dfrac{5\times 5\times 5}{3\times 3\times 3}$ $[\because \left(\dfrac{a}{b}\right)^{-m}=\left(\dfrac{b}{a}\right)^{m}]$

$\left(\dfrac{5}{3}\right)^{-x+2x}=\dfrac{5^3}{3^3}$ $[\because a^ma^n=a^{m+n}]$

$\left(\dfrac{5}{3}\right)^{x}=\left(\dfrac{5}{3}\right)^{3}$

On comparing the exponents, we get

$x=3$

Therefore, the value of x is 3.

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3 years ago

F (x) = x²-4x-5 tentukan daerah asal dan daerah hasil fungsi

olganol [36]

I don't understand what is writing but I think the answer could be (x+1)(x-5)

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3 years ago

Mr. Ramirez informs the students that some of the trees they plant will not survive their first year, so the class will take pre

Anni [7]

The percentage of trees that will survive are 26%

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3 years ago

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