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8_murik_8 [283]
3 years ago
15

What’s the area of the shape

Mathematics
1 answer:
maxonik [38]3 years ago
3 0

Answer:

19.63

Step-by-step explanation:

To find the area of a circle you can use the formula πr². The diameter (10) is twice the radius. So, the radius is 5. 5² = 25. 25x π =25π. Then you must divide by 4 because the shape is 1/4 a circle.

Hope this helps ;)

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Sylvia is hiking from Mineral Creek to Blueberry Hilla distance points of 6 1/5 miles. After hiking 2 2/3 miles , Sylvia stops f
Margarita [4]

Given:

Total distance = 6\dfrac{1}{5} miles

Hiking before lunch = 2\dfrac{2}{3} miles

To find:

How much further does Sylvia have left to hike?

Solution:

Let x be the remaining hiking distance.

We know that,

Total hiking distance = Hiking before lunch + Remaining hiking distance

6\dfrac{1}{5}=2\dfrac{2}{3}+x

\dfrac{(6\times 5)+1}{5}=\dfrac{(2\times 3)+2}{3}+x

\dfrac{30+1}{5}=\dfrac{6+2}{3}+x

\dfrac{31}{5}=\dfrac{8}{3}+x

Isolate variable term.

\dfrac{31}{5}-\dfrac{8}{3}=x

\dfrac{93-40}{15}=x

\dfrac{53}{15}=x

It can be written as

\dfrac{45+8}{15}=x

\dfrac{(3\times 15)+8}{15}=x

3\dfrac{8}{15}=x

So, 3\dfrac{8}{15} miles left to hike.

Therefore, the correct option is C.

3 0
4 years ago
Greg the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the ot
MA_775_DIABLO [31]
This problem can be solved by algebraic method.
Let
x = the total time spent of all clients in Plan A
y = the total time spent of all clients in Plan B
We represent two variables x and y because there are two plans that won't be happened simultaneously.
On Wednesday, the two workout plans have the total time of 6 hours. We equate
3x + 5y = 6
While on Thursday, the total time is 12 hours. We also equate
9x + 7y = 12

To find x and y, we can use the substitution method. For the first equation, we arrange it in terms of y, that is
5y = 6 - 3x
y = (6 - 3x)/5

Substitute it to the second equation:
9x + (7/5)(6 - 3x) = 12
9x + (42/5) - (21/5)x = 12
Multiply the equation by 5 to cancel the denominator:
45x + 42 - 21x = 60
45x - 21x = 60 - 42
24x = 18
x = 18/24 = 3/4 hours

For y:
3(3/4) + 5y = 6
9/4 + 5y = 6
Multiply the equation by 4 to cancel the denominator:
9 + 20y = 24
20y = 24 - 9
20y = 15
y = 15/20 = 3/4 hours

Hence, each workout plans are done within 3/4 hours (or 45 minutes).
4 0
3 years ago
How are the place value positions to either side of a particular number related
MAVERICK [17]
They are there unit distance away from each other
8 0
3 years ago
What single decimal multiplier would you use to increase by 9% followed by 3% decrease
MaRussiya [10]

Answer:

= 94

Step-by-step explanation:

To work out the multiplier, first add or subtract the percentage from 100, then convert to a decimal. Example: we want to add 20% to £110. To work out the multiplier, add 20 to 100, to get 120, and then change it to a decimal (divide by 100) to get 1.2. The answer is £110 x 1.2 = £132.

so to workout an increase of 9% followed by 3% we would do:

9% - 3% = 6%. convert = 0.06 = 100-6 = 94 converted into 0.94 x 100 = 94

7 0
4 years ago
The Southside Band marches 1 3/4 miles in an hour in a parade. How far can they march in 5 hours? Multiply. (Enter as an imprope
OlgaM077 [116]
Well you start on the south side of the band and if it works to the 1 to 3 mile ratio then you have your awnser
I hope this helps
8 0
3 years ago
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