Answer:
X=7
Step-by-step explanation:
Since area of a rectangle is 294
Area of a rectangle=length×breadth
Let's the width be x
Since length is 6 times of width=6x
Area=l×w
294=x×6x
294=6x^2
Divide both sides by 6
x^2=49
Square root both sides
x=7
Therefore x is 7
Answer:
1%
Step-by-step explanation:
We use the simple interest equation of A=P(1+rt).
A-the total amount with interest earned
P-the initial amount or principal
r-rate
t-time in years
We substitute the values P=6900, A=6923, and t=0.33 since 4 months divided by 12 months is 0.333 years. We then solve for r.
![6923=6900(1+r(0.33))\\6923=6900(1+0.33r)\\\frac{6923}{6900} =\frac{6900(1+0.33r)}{6900} \\1.0033=1+0.33r\\1.0033-1=1-1+0.33r\\0.0033=0.33r](https://tex.z-dn.net/?f=6923%3D6900%281%2Br%280.33%29%29%5C%5C6923%3D6900%281%2B0.33r%29%5C%5C%5Cfrac%7B6923%7D%7B6900%7D%20%3D%5Cfrac%7B6900%281%2B0.33r%29%7D%7B6900%7D%20%5C%5C1.0033%3D1%2B0.33r%5C%5C1.0033-1%3D1-1%2B0.33r%5C%5C0.0033%3D0.33r)
Our final step is to divide both sides by 0.33.
![\frac{0.0033}{0.33} =\frac{0.33r}{0.33} \\0.01=r](https://tex.z-dn.net/?f=%5Cfrac%7B0.0033%7D%7B0.33%7D%20%3D%5Cfrac%7B0.33r%7D%7B0.33%7D%20%5C%5C0.01%3Dr)
This is the decimal of the rate. We convert to a percentage by multiplying by 100. 0.01(100)=1%.
Answer:
Step-by-step explanation:
P= {1,3,5,7,9,11,13,21}
R ={2,4,6,8,10,12}
O={3,6,9,12,15,18}
The union of two sets contain all the elements in either set.
R ∪ O = {2,4,6,8,10,12,3,9,15,18 } [6 & 12 are in both R and O. we have to write only one time]
P U (R ∪ O) = {1,3,5,7,9,11,13,21,2,4,6,8,10,12,15,18}
Answer : Distance will be 1507.2 feet .
Explanation :
Since we have given that
Radius of circle = 80 feet
So,
Circumference of circle is given by
![2\pi r=2\times 3.14\times 80=502.4 \text{ feet}](https://tex.z-dn.net/?f=2%5Cpi%20r%3D2%5Ctimes%203.14%5Ctimes%2080%3D502.4%20%5Ctext%7B%20feet%7D)
Since , a car travels 3 times around a traffic circle.
So,
![\text{ Distance covered by the car will travel}= 3\times 502.4= 1507.2 \text{ feet }](https://tex.z-dn.net/?f=%5Ctext%7B%20Distance%20covered%20by%20the%20car%20will%20travel%7D%3D%203%5Ctimes%20502.4%3D%201507.2%20%5Ctext%7B%20feet%20%7D)
So, Distance will be 1507.2 feet .