Answer:
28.3
Step-by-step explanation:
Use the Pythagorean Theorem to solve for the answer. 10^2 + x^2 = 30^2
Step-by-step explanation:
1a. Just add both of them.
1b. We just subtract both of the functions.
1c.
1d.
It was used to see how your basic math skills
Answer:
<h2>8 times greater</h2>
Step-by-step explanation:
The formula of a volume of a cube:
a - edge length
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The edge length of cube B is a.
The edge length of cube A is 2a.
Calculate the volumes:
How many times greater is the volume of the cube A than the volume of cube B?
Make the quotient:
Answer:
CD = 14 cm; DE = 21 cm
Step-by-step explanation:
The perimeter is the sum of side lengths (in centimeters), so ...
CD + DE + CF + EF = 55
CD + DE + 8 + 12 = 55 . . . . . . . substittute for CF and EF
CD + DE = 35 . . . . . . . . . . . . . . subtract 20
___
The segment DF is a diagonal of the rhombus, so bisects angle D. That angle bisector divides ΔCDE into segments that are proportional. That is, ...
CD/DE = CF/EF = 8/12 = 2/3
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So, we have two segments whose sum is 35 (cm) and whose ratio is 2 : 3. The total of "ratio units is 2+3=5, so each must stand for a length unit of 35/5 = 7 (cm). The sides are ...
CD = 2·7 cm = 14 cm
DE = 3·7 cm = 21 cm
<em>Check</em>
CD + DE = (14 +21) cm = 35 cm . . . . . matches requirements
