The transverse axis for this hyperbola is

How do you solve for x in this problem?

irina [24]

Answer: you will use the cosine rule

Step-by-step explanation:

x^2=11^2+8^2-2(11)(8)xcos(16)

x^2=185-169.18

x^2=15.8

Take square root

x=3.96 or 4

4 0

3 years ago

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I need the answer for 10 and how you got the answers

Katyanochek1 [597]

Answer:

A. $y=\frac{3}{4} x$ B. 25% discount

Step-by-step explanation:

PART A:

For the shirt:

$y=$ Sale price of the shirt=$18

$x=$ Cost of the shirt=$24

Now, $\frac{x}{y} =\frac{24}{18} =\frac{4}{3}$

⇒ $y=\frac{3}{4}x$

For the pair of shoes:

$y=$ Sale price of the pair of shoes=$42

$x=$ Cost of the pair of shoes=$56

Now, $\frac{x}{y} =\frac{56}{42} =\frac{4}{3}$

⇒ $y=\frac{3}{4}x$

So, the equation that represents the sale price y of an item that costs x dollars is: $y=\frac{3}{4} x$

PART B:

y=Sale price of an item

x=Cost of the item

Discount on the item $=x-y=x-\frac{3}{4} x=\frac{x}{4}$

Percentage discount on the item $=\frac{\frac{x}{4} }{x}$ ×100 $=25$ %

6 0

4 years ago

Can i please get some quick help?

Tanzania [10]

Answer:

the inverse is the third choice

4 0

3 years ago

7) Suppose that the amount of time it takes to process insurance claims is normally distributed with a mean of 12 weeks and a va

Alina [70]

This question is incomplete, the complete question is;

Suppose that the amount of time it takes to process insurance claims is normally distributed with a mean of 12 weeks and a variance of 9 weeks. What is the probability that the next claim will be processed within; a) 10 weeks, b) 11 weeks, c) 12 weeks.

Answer:

a) the probability that the next claim will be processed within 10 weeks is 25.14%

b) the probability that the next claim will be processed within 11 weeks is 37.07%

c) the probability that the next claim will be processed within 12 weeks is 50.00%

Step-by-step explanation:

Given the data in the question;

mean 12 weeks

Variance = 9 weeks

Standard deviation SD = √Variance = √ 9 = 3 weeks.

Since, the amount of time it takes to process insurance claims is normally distributed.

z = ( x - mean ) / SD

where x is weeks of next claim.

a) 10 weeks

z = ( x - mean ) / SD

we substitute

z = ( 10 - 12 ) / 3

z = -2/3

z = -0.67

{ from standard normal distribution table }

value of z is 0.2514

Therefore, the probability that the next claim will be processed within 10 weeks is 25.14%

b) 11 weeks

z = ( x - mean ) / SD

we substitute

z = ( 11 - 12 ) / 3

z = -1/3

z = -0.33

{ from standard normal distribution table }

value of z is 0.3707

Therefore, the probability that the next claim will be processed within 11 weeks is 37.07%

c) 12 weeks

z = ( x - mean ) / SD

we substitute

z = ( 12 - 12 ) / 3

z = 0/3

z = 0.00

{ from standard normal distribution table }

value of z is 0.5000

Therefore, the probability that the next claim will be processed within 12 weeks is 50.00%

7 0

3 years ago

Im in 10th grade geometry and need help

gulaghasi [49]

Answer: x = 15 ; y = 15√2

Concept:

The given triangle in the question is a 45°-45°-90° triangle.

It is considered to be a special triangle where the ratio of side lengths is 1:1:√2, meaning that the legs that correspond with 45° are 1, while the hypotenuse which corresponds with 90° is √2.

Please refer to the attachment below for a graphical explanation.

Given:

A 45°-45°-90° triangle

Leg₁: 15

Solve:

Knowing that the ratio of the triangle is 1 : 1 : √2

<u>Find the value of x</u>

x leg correspond with 45° angle

Leg₁ correspond with 45° angle

Leg₁ = 15

∵ The given ratio is 1 : 1 for 45° angle

$\boxed{x=15}$

<u>Find the value of y</u>

y hypotenuse correspond with 90° angle

Leg₁ correspond with 45° angle

Leg₁ = 15

∵ The given ratio is 1 : √2 for 45° : 90° angle

$\boxed{y=15\sqrt{2} }$

Hope this helps!! :)

Please let me know if you have any questions

5 0

3 years ago

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