Answer:
10 ft
Step-by-step explanation:
By using the pythagorean theorem, we know that leg1 squared plus leg2 squared is equal to hypotenuse squared.

Answer:
3.5 cm
Step-by-step explanation:
Given the question:
A circular arc has measure 8 cm and is intercepted by a central angle of 2.3 radians. Find the radius of the circle. Do not round any intermediate computations, and round your answer to the nearest tenth.
Central angle in radian (θ) = 2.3 radian
Length of arc (s) = 8cm
Recall:
Length of arc (s) = radius (r) × central angle (θ)
8cm = radius × 2.3 rad
radius = 8 / 2.3
Radius = 3.478 cm
Radius = 3.5 cm
The volume of the ethanol inside the tube can be obtained by dividing the mass of ethanol by the density. The volume is equal to 15.03 ml or 15.03 cm3. The volume of the tube is equal to pi d^2/4 * h where h is 15 cm. From this formula, the diameter is equal to 1.13 cm.
Answer:
0.0023 = 0.23% probability that all 5 balls selected will be the same color
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the balls are selected is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:
Either 5 amber from a set of 6, or 5 blue from a set of 5. So

Total outcomes:
5 balls selected from a set of 6 + 5 + 4 = 15. So

Probability:

0.0023 = 0.23% probability that all 5 balls selected will be the same color
Answer:
8 cm
Step-by-step explanation:
(See the image attached for details)
- The blue segment measures 15 cm
- The green segment measures 7 cm
- The green and yellow segment when added form the blue segment
- So: ? + 7 = 15
Solve:
? + 7 = 15
Subtract 7 on both sides:
? + 7 = 15
-7 -7
? = 8 cm
Therefore, the yellow segment, or the missing side length, measures 8 cm.