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2 years ago

Circle M has a radius of 7.0 cm. The shortest distance between P and Q on the

Mathematics

2 answers:

sattari [20]2 years ago

9 0

Answer: C. $25.6\ cm^2$

Step-by-step explanation:

Given: Circle M has a radius = 7.0 cm.

The shortest distance between P and Q on the circle (arc length)= 7.3 cm.

Now, the central angle 'x' is given by :-

$x=\dfrac{l}{r}\\\\\Rightarrow\ x=\dfrac{7.3}{7}=1.04285714286\ radian$

Now, the area of sector is given by :-

$A=\dfrac{1}{2}r^2x\\\\\rightarrow\ A=\dfrac{1}{2}(7)^2(1.04285714286)\\\\\Rightarrow\ =25.55\approx25.6\ cm^2$

Lorico [155]2 years ago

7 0

Answer:

oops sorry accidental click i don't know how to get out sorry for letting you down

Step-by-step explanation:

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At a display booth at an amusement park, every visitor gets a gift bag. Some

kotegsom [21]

The bag will often contain all three items every 70 bags ⇒ answer C

Step-by-step explanation:

At a display booth at an amusement park, every visitor gets a gift bag

according to these information:

1. Hat Every 2nd visitor

2. T-shirt Every 7th visitor

3. Backpack Every 10th visitor

We need to know how often a bag will contain all three items

To solve this problem you must find a number divisible by 2, 7, and 10

To find that number start with the multiples of the largest one and

check them with the other two numbers

∵ The largest number is 10

∵ The multiples of 10 are 10 , 20 , 30 , 40 , 50 , 60 , 70 , 80 , .......

- Look for the first multiple of 10 is divisible by 7

∵ 70 is the first multiple of 10 divisible by 7

∵ 70 is divisible by 2 because its even number

∴ 70 is the smallest number divisible by 2, 7 and 10

The bag will often contain all three items every 70 bags

Learn more:

You can learn more about numbers in brainly.com/question/537998

#LearnwithBrainly

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2 years ago

N JKL, mJ = 90, mK = 30, and mL = 60. Which of the following statements about JKL are true?

Leya [2.2K]

KL=2*JL
I tried to find the rest of the question online, and I'm not sure if radicals couldn't show up or something, but attached is an image of the rules for a 30-60-90 triangle, so hopefully this helps.

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2 years ago

Callan goes for a hike every Saturday. Callan hikes at a rate of three miles per hour.

ioda

Answer:

I believe its

1. 3

3. 9

5. 15

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2 years ago

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Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours dur

Gelneren [198K]

I am setting the week hourly rate to x, and the weekend to y. Here is how the equation is set up:

13x + 14y = $250.90
15x + 8y = $204.70

This is a system of equations, and we can solve it by multiplying the top equation by 4, and the bottom equation by -7. Now it equals:

52x + 56y = $1003.60
-105x - 56y = -$1432.90

Now we add these two equations together to get:

-53x = -$429.30 --> 53x = $429.30 --> (divide both sides by 53) x = 8.10. This is how much she makes per hour on a week day.

Now we can plug in our answer for x to find y. I am going to use the first equation, but you could use either.

$105.30 + 14y = $250.90. Subtract $105.30 from both sides --> 14y = $145.60 divide by 14 --> y = $10.40

Now we know that she makes $8.10 per hour on the week days, and $10.40 per hour on the weekends. Subtracting 8.1 from 10.4, we figure out that she makes $2.30 more per hour on the weekends than week days.

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2 years ago

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To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by

Anastaziya [24]

We are given equation g = 748u, where g is the total number of gallons of water used and u is the number of units.

We can see that the number of units of water being used by customers.

The number of units of water doesn't depend on the total number of gallons of water used.

Therefore, the number of units u is an independent variable.

The value of the total number of gallons is totally depends on the number of units used.

Therefore, the total number of gallons of water used g is a dependent variable.

So, we can conclude following statements:

1) g is the dependent variable.

2) u is the independent variable.

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2 years ago

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