The ~ symbol means that the 2 shapes are similar, meaning the same shape but not the same size.
To determine the measure of side length EF, you must find the relationship between the 2 side lengths.
You should set these up as ratios of the length to the width. So, for ABCD, it is 30/45. Make this equal to x/75. If you simplify the first ratio to 2:3, you can then multiply by both numerator and denominator by 25 to get x = 25 in/ 75 in.
Another way is to use cross products with you proportion. 75 x 30 = 45x. Solve for x to get 50 inches.
Answer:
Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is
.
Step-by-step explanation:
There are two kew parameters for a sphere: Center (
,
,
) and Radius (
). The radius is the midpoint of the line segment between endpoints. That is:


The radius can be found by halving the length of diameter, which can be determined by knowning location of endpoints and using Pythagorean Theorem:


The general formula of a sphere centered at (h, k, s) and with a radius r is:

Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is
.
Answer:
523.6
Step-by-step explanation:
V=πr^2(h/3)=π*10^2*(5/3)=523.59878
Answer:
30
Step-by-step explanation:
We need to find the greatest common factor of 120 and 144.
First, write the prime factorization of both:
120 = 2³×3×5
144 = 2⁴×3²
Both have 2³ and 3 in common, so the GCF is:
GCF = 2³×3
GCF = 24
So the side length is 24 cm. The number of squares along the width is:
120 / 24 = 5
And the number of squares along the length:
144 / 24 = 6
So the number of squares need to fill the entire area is 5×6 = 30. This is the least number of squares with whole-number side lengths that he can use.
Answer: Total Surface Area
Step-by-step explanation:
Hi, to calculate the amount of cardboard needed to create a cereal box we have to calculate the total surface area.
The volume is used to calculate the amount of cereal that the box can contain, and the lateral surface area will not include all the cardboard needed for the complete box.
Feel free to ask for more if needed or if you did not understand something.