What is the area of a regular hexagon with an apothem 8.7 yards and a side 10 yards long

Answers

Answer 1

Answer: Hello,
Forget the apothem (it is false)

The hexagon is composed of 6 isocele triangles having like base 10 and as height=√(10²-5²)=√75=5√3
The area of one triangle is 10*5√3/2=25√3
6 triangles:150*√3=212,13203... (yd²)

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Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After running for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable. Which equation can be used to represent k, the number of kilometers Julissa runs in t minutes? How does this work i cant really figure it out

Answers

For this case, the first thing we must do is define variables.

We have then:

t: the time in minutes

k: the number of kilometers

The relationship between both variables is direct.

Therefore, the function is:

Where, "c" is a constant of proportionality.

To determine "c" we use the following data:

After running for 18 minutes, she completes 2 kilometers.

Substituting values:

Clearing c we have:

Then, the equation is given by:

Answer:

An equation that can be used to represent k, the number of kilometers Julissa runs in t minutes is:

$k (t) = (1)/(9) * t$

First of all you want to see how long she runs for 1 km and you can figure that out by doing 18/2 and 54/6, they both equal to 9.
So that means that Julissa is running an average of 9 kilometers per minute creating the equation of : t = 9k

If the number of concerts held in a city is correlated to the number of local radio channels, what third variable might most likely be responsible for this correlation?the number of songs played on each channel

the weather conditions of the city

the number of music lovers in the city

the duration of each concert

Answers

The most logical answer to this is the third option:

the number of music lovers in the city

Since this variable will most likely be related to the number of concerts in a city and the number of local radio channels in the same place

Graph this line using the slope and y-intercept:
y=–3x–3

Answers

Answer:

Check the attachment (image).

Step-by-step explanation:

The slope is -3, so you have to put a point on the y-intercept (where the line touches the y-axis), or -3. Then you have to put a point 3 down (so -6 on the y-axis), and 1 right (so 1 on the x-axis) since the slope is actually:
-3/1
...now you get a ruler and make a line running through those points (if on paper).

3.78 is equivalent to what percent

Answers

it is 378% because 378/100= 3.78.

it is 378% because you move the decimal over

Paul travels from Rye to Eston at an average speed of 90km/h. He travels for T hours. Mary makes the same journey at an average speed of 70km/h. She travels for 1 hour long than Paul. Work out the value of T

Answers

Total distance covered;
For Paul;
sxt=distance
90*t= d
For mary;
s*t=d
70*(t+1)=d
70t+70=d

Since they cover same distance;
70t+70=90t
Putting like terms together;
70=90t-70t
70=20t
t=70/20
t= 3 and 1/2 hours

5x+15=90 what do the x equal

Answers

5x+15=90
5x=90-15
5x=75
x=15

$5x+15=90\n5x=75\nx=15$

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