The ratio of the surface areas of two similar solids is 4:49. What is the ratio of a volumes?
1 answer:
Answer: 8/343
Step-by-Step:
If two similar solids have a scale factor of a:b then,
The ratio of their surface areas (2D) is- a^2:b^2
The ratio of their volume (3D) is- a^3:b^3
First you want to square root the scale factor numbers to find the original value. Then you cube the original numbers to find the answer.
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Answer:
m∠ MNL = 78º
Step-by-step explanation:
<u>Arcs meassures </u>
mML = (11x - 5)º
mJK = (4x + 26)°
<u>Angle meassure</u>
m∠MNL = (10 x – 12)º
______________________
angle measure = average of arcs
m∠MNL = (mML+ mJK)/2
Replacing
(10x – 12)º = ((11x - 5)º + (4x + 26)° )/ 2
10x -12 = (15x + 21 )/2
10x - 7.5x = 10.5 + 12
2.5x = 22.5
x= 9
m∠MNL = (10 x – 12)º
= 90 - 12
= 78º
Answer:
y = 3/4x - 5
Step-by-step explanation:
An equation of a line can be written in slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept.
Let's plug in what we know.
The slope is 3/4.
y = 3/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the point (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 3/4(4) + b
To find b, multiply the slope and the input of x(4)
-2 = 3 + b
Now, subtract 3 from both sides to isolate b.
-5 = b
Plug this into your standard equation.
y = 3/4x - 5
This is your equation. It has a slope of 3/4, and passes through (4, -2)
Hope this helps!
