Okay. The equation for a sphere's surface area is A = 4 * pi * r^2. Let's plug 5 in for r.
I got 314 cm^2 is the surface area, but it always helps to double check work! Hope this helps!
Answer:
(20,-4)
Step-by-step explanation:
We are given;
One end point as (2,5)
Point of division as (10,1)
The ratio of division as 4:5
We are required to calculate the other endpoint.
Assuming the other endpoint is (x,y)
Using the ratio theorem
If the unknown endpoint is the last point on the line segment;
Then;
![\left[\begin{array}{ccc}10\\1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%5C%5C1%5Cend%7Barray%7D%5Cright%5D)
=![\frac{4}{5} \left[\begin{array}{ccc}x\\y\end{array}\right]](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D)
+![\frac{5}{9}\left[\begin{array}{ccc}2\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
Therefore; solving the equation;
solving for x
x = 20
Also
solving for y
y= -4
Therefore,
the coordinates of the end point are (20,-4)
Answer:
Gallons
Step-by-step explanation:
Tanks are too big to be measured by teaspoons or pints of water and are typically by gallon.
Answer:
The equation in slope-intercept form is y = 6x + 5
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
Let us solve the question
∵ A line has a slope of 6
∵ m is the slope of the line
∴ m = 6
∵ The line has a y-intercept of 5
∵ b is the y-intercept
∴ b = 5
→ Substitute the values of m and b in the slope-intercept form
∵ y = m x + b
∴ y = 6x + 5
∴ The equation in slope-intercept form is y = 6x + 5
Answer:
(2x+2)+(x+34)=180°[by linear pair]
3x+36=180°
3x=180°-36°
3x=144
x=144/3
x=48
