Answer:
41 units
Step-by-step explanation:
The diagonal forms a right triangle with the sides, so we can use Pythagorean theorem.
c² = a² + b²
d² = 9² + 40²
d = 41
The diagonal is 41 units long.
Answer:
n + 6 = 3n
Step-by-step explanation:
n + 6 = 3n
6 = 3n -n
6 = 2n
n = 3
9514 1404 393
Answer:
8.6 km
Step-by-step explanation:
The circumference of a circle is given in terms of its radius as ...
C = 2πr
Then the radius can be found from the circumference using ...
r = C/(2π)
Filling in the given values, we find the radius to be ...
r = (54 km)/(2·2.14) = (54 km)/6.28 ≈ 8.59873 km
The radius is about 8.6 km.
Answer:
Sherlock Holmes is a fictional detective created by British author Sir Arthur Conan Doyle.
Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.
Step-by-step explanation:
Given,
Total hours worked by three of them = 285 hours
Let,
x represent the hours of Alexis.
y represent the hours of Becca.
z represent the hours of Cindy.
According to given statement;
x+y+z=285 Eqn 1
Alexis worked 15 hours less than Becca.
x = y-15 Eqn 2
z = 2y+4 Eqn 3
Putting value of x and z from Eqn 2 and 3 in Eqn 1
![(y-15)+y+(2y+4)=285\\y-15+y+2y+4=285\\4y-11=285\\4y=285+11\\4y=296](https://tex.z-dn.net/?f=%28y-15%29%2By%2B%282y%2B4%29%3D285%5C%5Cy-15%2By%2B2y%2B4%3D285%5C%5C4y-11%3D285%5C%5C4y%3D285%2B11%5C%5C4y%3D296)
Dividing both sides by 4
![\frac{4y}{4}=\frac{296}{4}\\y=74](https://tex.z-dn.net/?f=%5Cfrac%7B4y%7D%7B4%7D%3D%5Cfrac%7B296%7D%7B4%7D%5C%5Cy%3D74)
Putting y=74 in Eqn 2
![x=74-15\\x=59](https://tex.z-dn.net/?f=x%3D74-15%5C%5Cx%3D59)
Putting y=74 in Eqn 3
![z=2(74)+4\\z=148+4\\z=152](https://tex.z-dn.net/?f=z%3D2%2874%29%2B4%5C%5Cz%3D148%2B4%5C%5Cz%3D152)
Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.
Keywords: linear equation, division
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