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3 years ago

there are about 100 million smartphones in the U.S. your teacher has one smartphone. what share of US smartphones does your teac

her have? express your answer using a negative power of 10.

Mathematics

1 answer:

barxatty [35]3 years ago

3 0

$100 000 000 = 10^{8}$

$\frac{1}{100 000 000} = 10^{-8}$

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I would really appreciate help with the following, along with work shown so I can understand how these were solved.

Alja [10]

First, you have to know the double angle formula:

sin 2A = 2 sin A cos A

cos 2A = cos² A − sin² A = 2 cos² A − 1 = 1 − 2 sin² A

tan 2A<span> = 2 tan </span>A<span> / (1 − tan² </span>A)

Next, find the other leg: 17^2-15^=64, √64 is 8, so the unknown leg length is 8.

sinα=15/17, cosα=8/17, tanα=15/8

sinβ=8/17, cosβ15/17, tanβ=8/15

Plug these values in the above formula, you'll have your answers.

For the half angles, know the half-angle formula:

sin(B/2) = ± √<span>(1 − cos B)/2</span>

cos(B/2) = ± √<span>(1 + cos B)/2</span>

tan(B/2) = (1 − cos B) / sin B<span> = sin </span>B<span> / (1 + cos </span>B)

refer to this website for details:

<span>https://brownmath.com/twt/double.htm
</span>

For the power reduction formula, please search for it. I tried to copy and paste here, but it wouldn't paste.

for number 4, factor the quadratic equation into (cscx-8)(cscx+1)=0

cscx=8 or cscx=-1

You may not have the csc button on your calculator. Recall that csc is 1/sin, so sinx=1/8 or sinx=-1, so x is either 7.18 or 270 degrees

6 0

3 years ago

Chicken cuties are on sale for 3.48 per pound How much will it cost to but 3.5 pounds

kramer

3.48 for 1 pound

You can put it in comparison,

3.48 / 1 = x / 3.5

And then cross-multiply it,
1x = 3.48 x 3.5
x = 12.18

5 0

3 years ago

Lyla is shopping for school supplies. She has $20.00 to spend. She plans to buy a package of pens for $4.98. She also wants to b

Ket [755]

<h3><em><u>Question:</u></em></h3>

Lyla is shopping for school supplies. She has $20.00 to spend. She

plans to buy a package of pens for $4.98. She also wants to buy a

calculator. All calculators are being sold for 30 percent less than the

original price. write an inequality that can be used to find the original price, x, of a calculator lyla can buy.

<h3><em><u>Answer:</u></em></h3>

$4.98+0.7x\leq 20$ inequality that can be used to find the original price, x, of a calculator lyla can buy

<h3><em><u>Solution:</u></em></h3>

Given that,

Lyla has $ 20 to spend

So she can spend entire $ 20 or less than $ 20

Total amount she has = $ 20

She plans to buy a package of pens for $4.98

Cost of package of pens = $ 4.98

She also wants to buy a calculator

Let "x" be the original price of calculator

All calculators are being sold for 30 percent less than the original price

Selling price of calculator = original price - 30 % of original price

Selling price of calculator = x - 30 % of x = x - 0.3x = 0.7x

Selling price of calculator = 0.7x

<em><u>Thus a inequality can be framed as:</u></em>

Cost of package of pens + Selling price of calculator $\leq$ 20

$4.98+0.7x\leq 20$

This means that, combined cost of package of pen and selling price of calculator must be less than or equal to the amount with Lyla ( 20 $ )

Thus the inequality is found

5 0

3 years ago

what is the distance of the ramp in feet? in the picture and please help answer the question below !!!

azamat

The answer is
sin 35 =5/x

0.57=5/x
X= 8.77

4 0

3 years ago

Read 2 more answers

Write the linear function for the given function values.<br> f(-2)=9 and f(6)=7

BigorU [14]

Answer:

$y = -\frac14x + 8.5$

Step-by-step explanation:

Hello!

A linear function is written in the form of $y = mx + b$ , where m is the slope and b is the y-intercept.

Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).

<h2>Slope</h2>

Slope can be calculated by the difference in the x-values divided by the difference in the y-values.

Solve

$\frac{9 - 6}{-2 - 6}$
$\frac{2}{-8}$
$-\frac14$

The slope is -1/4.

<h2 /><h2>Y-intercept</h2>

The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.

Solve

$y = mx + b$
$9 = -\frac14(-2) + b$
$9 = 0.5 + b$
$8.5 = b$

<h2>Equation</h2>

We can find the equation by simply plugging in all the values that we found.

Equation: $y = -\frac14x + 8.5$

6 0

2 years ago