Are these triangles congruent? If so, name the triangle congruence method.

If the adjacent is 8, the opposite is 15, and the hypotenuse is 17. Express sin H as a fraction in simplest terms.

Serggg [28]

Answer:

$\frac{15}{17}$

Step-by-step explanation:

Have a nice day

5 0

3 years ago

The buying rate and selling rate of a Australian dollar in a bank are rs 80.20and rs 81.40respectively how much Australian dolla

olya-2409 [2.1K]

Answer:

5000 Australian Dollars

Step-by-step explanation:

To find out how many Australian dollars need to be sold, we first need to find the profit of a single dollar sold.

We will be using the formula for profit, which is:

Profit = Total Revenue - Total Cost

Now we define the available variables.

Total Revenue = 81.40

Total Cost = 80.20

Profit = 81.40 - 80.20

Profit = rs 1.20/dollar

Now we have to find how many dollars we have to sell to get a profit of rs 6000.

We simply divide the amount of profit that we want to the price per dollar.

Total Profit = 6000

Profit per dollar = 1.20

This give us:

6000 / 1.20 = 5000 Australian Dollars.

4 0

3 years ago

quinn is playing video games at a virtual reality game room . The game room charges 20 dollars for every 30 minutes of play time

USPshnik [31]

Answer:$100

Step-by-step explanation:

He need five periods of play time because 150 divided my 30 is 5. Then, you multiply 5 times the $20 because it is $20 for every 20 minutes.

Therefore, the answer is 20.

5 0

3 years ago

For which angle theta is cos theta =-1?<br>a) 270<br>b) 360<br>c) 450<br>d) 540

yanalaym [24]

Answer:

540°.

Step-by-step explanation:

On a unit circle, cos θ = -1 at 180°.

However, cos θ has a period of 2π, or 360°. This means that cos θ will equal to -1 again after 2π.

To solve for the angle:

180° + 360° = 540°. This is the next angle at which cos θ = -1.

7 0

3 years ago

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I'm reasking a previous question to make it more clear. This is a Linear Equation that I must solve. It includes fractions (the

Ugo [173]

Assuming the equation is:

$\frac{x}{2}-\frac{10x-25}{10}=3(x+3)-(x-14)$

When fractions involve numeric denominators, the fractions can be removed by multiplying (both sides) by the LCM of the denominators.

Here the denominators are 2 and 10, hence the LCM is 10.

Multiply by 10 on both sides, not forgetting to distribute when multiplying on the right side:

$10\frac{x}{2}-10\frac{10x-25}{10}=10*3(x+3)-10(x-14)$

simplify, remember that there are always implied parentheses around numerators and denominators:

$5x-(10x-25)=30(x+3)-10(x-14)$

Now, distribute, i.e. remove parentheses and distribute:

5x-10x+25=30x+90-10x+140

Simplify

-5x+25=20x+230

transpose terms

25-230=20x+5x

solve

x=-205/25=-41/5

In this particular case, we can also take advantage of the term

(10x-25)/10=5(2x-5)/10=(2x-5)/2 which greatly simplifies the solution process, because the LCM will then be 2 instead of 10.

If we do that, the solution will be:

Multiply by 2 on both sides, not forgetting to distribute when multiplying on the right side:

$\frac{x}{2}-\frac{10x-25}{10}=3(x+3)-(x-14)$

simplify, remember that there are always implied parentheses around numerators and denominators:

$2\frac{x}{2}-2\frac{2x-5}{2}=2*3(x+3)-2(x-14)$

$x-(2x-5)=6(x+3)-2(x-14)$

Now, distribute, i.e. remove parentheses and distribute:

$x-2x+5=6x+18-2x+28$

Simplify

-x+5=4x+46

solve

5-46=4x+x

-41=5x

x=-41/5

with the same results.

7 0

4 years ago

Read 2 more answers