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2 years ago

Can someone please answer this!!!!

Mathematics

1 answer:

alexandr402 [8]2 years ago

3 0

Step-by-step explanation:

$\frac{y}{20 \sqrt{3} } = \sin(30)$

$y = 20 \sqrt{3} \times \frac{1}{2}$

$y = 10 \sqrt{3}$

$\frac{x}{20 \sqrt{3} } = \cos(30)$

$x = 20 \sqrt{3} \times \frac{ \sqrt{3} }{2}$

$x = 30$

option D, x=30 and y = 10√3

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If (x,y) is a solution to the system of equations shown below, what is the product of the y-coordinates of the solutions? x^2+4y

aliina [53]

Answer:

The product of the y-coordinates of the solutions is equal to 3

Step-by-step explanation:

we have

$x^{2}+4y^{2}=40$ -----> equation A

$x+2y=8$ ------> equation B

Solve by graphing

Remember that the solutions of the system of equations are the intersection point both graphs

using a graphing tool

The solutions are the points (2,3) and (6,1)

see the attached figure

The y-coordinates of the solutions are 3 and 1

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The product of the y-coordinates of the solutions is equal to

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2 years ago

The manager of the Danvers-Hilton Resort Hotel stated that the mean guest bill for a weekendis $600 or less. Amember of the hote

alexdok [17]

Answer:

$H_{0}: \mu \leq 600\text{ dollars}\\H_A: \mu > 600\text{ dollars}$

Step-by-step explanation:

We are given the following in the question:

Manager's claim: The mean guest bill for a weekend is $600 or less.

A member of the hotel’s accounting staff noticed that the total charges for guest bills have been increasing in recent months.

A sample of weekend guest bills were collected to test the manager’s claim.

We design the null and alternate hypothesis in the following manner:

$H_{0}: \mu \leq 600\text{ dollars}\\H_A: \mu > 600\text{ dollars}$

Conclusion when null hypothesis cannot be rejected:

When we fail to reject the null hypothesis and accept the null hypothesis, thus, we have enough evidence to support the manager's claim that the mean guest bill for a weekend is $600 or less.

Conclusion when null hypothesis can be rejected:

When the null hypothesis is rejected, we accept the alternate hypothesis.

Thus, there are not sufficient evidence to support the manager's claim that the mean guest bill for a weekend is $600 or less.

5 0

2 years ago

Another teacher has a monthly salary of $2000 She spends $943 per month on rent Her monthly salary then increases by 15% What pe

Aleks04 [339]

Answer:

47.15%

Step-by-step explanation:

Getting a raise of 15% would increase the teacher's salary by 300. 943 of 2300 is 47.15%.

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1 year ago

PLEASE HELP ME PLEASE HELP

aliina [53]

To grandparents house :
140/56 = 2.5 hours

Return trip :
140/50 = 2.8 hours

Total time : 2.8+2.5 = 5.3 hours

7 0

3 years ago

Read 2 more answers

Can someone please help me on this question?

yan [13]

Answer: q³⁰

Explanation:

First just solve the first part using the exponent rules

p²q⁵ becomes 1/p-⁸q-²⁰ then we flip the fraction so the exponents become positive. Now we have p⁸q²⁰.

Before multiplying the other equation, we must simplify. p-⁴q⁵ becomes 1/p⁴q-⁵ and since it's the exponents being raised to a power we simply multiply the inner exponents times the outer exponent which yields 1/p⁸q-¹⁰. We must make q-¹⁰ positive so we will then bring it to the numerator of the fraction which gives us: q¹⁰/p⁸.

Multiply q¹⁰/p⁸ * p⁸q²⁰/1 = p⁸q³⁰/p⁸ divide the p exponents by each other which yields 0 since when u divide exponents you just subtract them so 8 - 8 = 0. Your answer is now q³⁰/1 or just q³⁰

4 0

3 years ago