MATHEMATICS HIGH SCHOOL

What is the area of a triangle with vertices at (0, −2), ​(8, −2)​ , and ​(9, 1)​ ?

Answers

Answer 1
Answer:

Answer:

A=1/2*(8)*(3)

A=12

Description:

The area of a triangle is A=1/2*b*h

Meaning the area of the triangle is 12.

A=1/2*(8)*(3)

A=12

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Hope this helps.

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I work at a hotel and my time is 5:30 am to9:30am. I have to put out the breakfast for 6:30 and break down at 9:30 am. How many hours are they giving me to wash dishes and clean up? I also do housekeeping and my time is 9:00 am to 3:00pm. I had 12 check out and 4 stay over . How many minutes are they giving me to clean each room?

Answers

So, with 12 check outs and 4 stays over you will have to clean up 16 rooms ( I assume that the hotel has the habit of cleaning up the room even if people stay overnight)

so the time between 9 am and 3 pm is 4 hours, that is 4*60=240 minutes.

This means it's 240/16=120/8=60/40=15, 15 minutes per room.

About the first part of the sentence: I assume that you can start washing the dishes alrady at 6:30 (dishes you used for preparation,etc) - so you can clean up from 6:30 till 9:30 - that is three hours!

Simplify sin(3x+13)=cos(4x)

Answers

Sin(3×+13)=sin(pi/2-4×)
3x+13 =pi/2 -4×          or 3×+13 =pi-pi/2 + 4×
7× = pi/2 - 13 +k2pi   or -× = pi/2 +k2pi
× = pi/14 - 13/7 k2pi/7   or X = -pi/2 + kpi

A rock is placed in a graduated cylinder to determine its volume. The following data are obtained. What is the volume of the rock?Initial volume of water: 13.7 mL
Final volume of water: 28.9 mL

Answers

easy
when rock is in water, it takes up a certain volume, say x
so
initial+x=final volume
luckily we have final and inital
13.7ml+x=28.9ml
minus 13.7ml both sides
x=15.2ml


the volme of the rock is 15.2ml

Answer:

The answer is 15.2 cm ^3

The other guy was wrong. (sorry if I'm to late.)

Step-by-step explanation:

Line A is represented by the following equation:x + y = 2

What is most likely the equation for line B so the set of equations has no solution? (4 points)

x + 2y = 2
2x + 2y = 4
2x + y = 2
x + y = 4

Answers

Line A : x + y = 2

The most likely equation for line B so that the set of equation has no solution is: 

x + y = 4

====

x + y = 2
x = 2 - y

2-y + y = 4
0 = 4 - 2
0 ≠ 2

there is no value for x nor y. so, no solution.

Answer:

2x+2y=4

Step-by-step explanation:

What is the square root of 13 squared

Answers

The given expression is simplified to 13.

What is the square root?

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

Given that, √13²

Now, √13²= (13^2)^{(1)/(2) }= 13^{(2)/(2) }

= 13¹

= 13

Therefore, the given expression is simplified to 13.

To learn more about the square root of a number visit:

brainly.com/question/8971086.

#SPJ5
It's the absolute value of 13, which is 13.
If you taken (-13) squared and then take square root, you'd also get 13.

Two buses go from Sacramento to San Diego. The express bus makes the trip in 6.8 hours and the local bus takes 10.2 hours for the trip. The speed of the express bus is 25 mph faster than the speed of the local bus. Find the speed of both buses.

Answers

Answer: Speed of local bus is 50 mph  and speed of express bus is 75 mph

Step-by-step explanation:

let say speed of local bus = x

so speed of express bus = x + 25

Distance = Speed × Time

Distance traveled by local bus  = x × 10.2 = 10.2x

Distance traveled by express bus = (x + 25) × 6.8

since Distance traveled by local bus is same as Distance traveled by express bus

⇒10.2x = (x + 25) × 6.8

⇒ 10.2x = 6.8x + 170

⇒ 10.2x - 6.8x = 170

⇒ x = 170/3.4 = 50

So Speed of local bus = x = 50 mph

and Speed of express bus =  x + 25 = 50 + 25 = 75 mph
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