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belka [17]
3 years ago
7

How do you multiply 6 x 298 using friendly numbers?

Mathematics
1 answer:
anygoal [31]3 years ago
7 0
Let's change 298 into 300 to make it a friendly number, now 300*6
Now subtract 12
1800-12=1788
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A 12 ft. rope is attached to the wall of a garage. A dog’s collar is attached to the end of the rope to allow him to safely stay
Zolol [24]

Since it's a wall, I'm guessing it will only have access to half the circle? Therefore:

<em>Circle area formula: </em>πr²

<em>Radius:</em> 12/2 = 6ft

<em>Our case:</em>

(π * 6²)/2 =

36π/2 =

18π = 56.55ft²

3 0
3 years ago
A line has gradient 5.
MAVERICK [17]

Answer:

x = k - 3

Step-by-step explanation:

Given parameters:

  Gradient of the line = 5;

Coordinates; M(x, 8)

                       N(k, 23)

Solution:

If we use the expression for finding the slope of the line, we can solve this problem;

     Slope  = \frac{y_{2} - y_{1}  }{x_{2} - x_{1} }

    where

    x₁ = x    y₁ = 8

    x₂ = k    y₂ = 23

Input the parameters:

       5  = \frac{23 - 8}{k -x }

          15 = 5(k - x)

           3= k- x

           k - x = 3

 Express x in terms of k;

          -x = 3 - k

Multiply through by -1;

          x = -3 + k

          x = k - 3

7 0
2 years ago
Jerry took a sample of 4 employees in his office and observed how many hours they each worked one day.
Illusion [34]

The error in Jerry's calculation is 4.84

The number of employees, N = 4

The mean is calculated as:

\mu = \frac{10+2+4+8}{4} \\\mu = \frac{24}{4} \\\mu = 6

The formula for the standard deviation is:

SD =\sqrt{\frac{\sum{(x-\mu)^2}}{N} }

This can be further calculated as:

SD = \sqrt{\frac{(10-6)^2+(2-6)^2+(4-6)^2+(8-6)^2}{4} }\\\\SD = \sqrt{\frac{4^2+(-4)^2+(-2)^2+(2)^2}{4} } \\\\SD = \sqrt{\frac{16+16+4+4}{4} } \\\\SD = \sqrt{\frac{40}{4} } \\\\SD = \sqrt{10} \\\\SD = 3.16

Jerry thinks the Standard Deviation = 8

The true Standard Deviation = 3.16

Error = |True value - Measured value|

Error = |3.16 - 8|

Error = 4.84

Learn more here: brainly.com/question/18562832

3 0
1 year ago
Read 2 more answers
What is the exact value that is 59% of 2302?
serg [7]
59% of 2302....turn the percent to a decimal...." of " means multiply
0.59(2302) = 1358.18 <==
3 0
3 years ago
A certain solar collector can absorb 9.0 MJ in 7.0 h. Another panel is added, and together they collect 41 MJ in 5.0 h. How long
Rina8888 [55]
Lets call the rate at which the first panel absorbs solar energy x:
x = 9/7

To find out how much energy the panel will absorb in a certain number of hours, just multiply x by the time:
In 7 hours, energy = (9/7) * 7 = 9MJ
In 8 hours, energy = (9/7) * 8 = (72/7)MJ

Let's call the rate at which the second panel absorbs solar energy y. Therefore, we can write an equation, in x and y, using the information in the question:
5x + 5y = 41

We know what x is, so 5x = 5 * (9/7) = (45/7):
(45/7) + 5y = 41
5y = 41 - (45/7)

41 is the same as (41*7)/7 = 287/7:
5y = 287/7 - 45/7 = (287-45)/7 = 242/7

Divide both sides by 5 to find the value of y (in MJ absorbed per hours, MJ/h):
y = 242/35 = 6.914285714MJ/h

Let's call the time taken for the new panel to absorb 41MJ t:
ty = 41

We know what y is, so substitute that in and solve:
6.914285714t = 41
t = 41/6.914285714 ≈ 5.929752066 hours

I would like to express this value in the SI unit, which is seconds, s:
5.929752066 * 3600 = 21347.1s




6 0
3 years ago
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