Answer:
b. 44°
Step-by-step explanation:
Reference angle = x
Hypotenuse = 21
Adjacent = 15
Apply trigonometric function CAH:
x = 44.4153086° ≈ 44° (nearest degree)
Answer: 375 feet
Step-by-step explanation:
From the question, we are given the information that Sunni is riding a raft down a stream that is moving at a rate of 75 feet per minute.
To calculate how far downstream that she can travel in 5 minute, we have to multiply the distance covered per minute by 5. This will be:
= 75 feet × 5
= 375 feet
Answer:
m∠ABC = m∠BED; Corresponding Angles Theorem
Step-by-step explanation:
<u>Given:</u> line BC is parallel to line ED m∠ABC = 70° m∠CED = 30°
<u>Prove:</u> m∠BEC = 40°
Statement Justification
1. line BC is parallel to line ED - Given
2. m∠ABC = 70° - Given
3. m∠CED = 30° - Given
4. m∠BEC + m∠CED = m∠BED - Angle Addition Postulate
5. m∠ABC = m∠BED - Corresponding Angles Theorem
6. m∠BEC + 30° = 70° - Substitution Property of Equality
7. m∠BEC = 40° Subtraction Property of Equality
Answer:
The experimental probability can be expressed in three ways:
Fraction Form: 3/6 or 1/2
Decimal Form: 0.5
Percent Form: 50%
Step-by-step explanation:
Experimental probability is expressed as:
<em>(Favorable outcomes) / (Total outcomes)</em>
The favorable outcome in this situation is blubbery muffins. There were 3 blueberry muffins sold, so this is the <u>numerator</u> of our fraction.
To find the total outcomes we add 3 + 3, which equals 6. This will be the <u>denominator</u> of our fraction.
The fraction used to express experimental probability will look like this: 3/6
We can further simplify this to 1/2.
3 ÷ 3 = 1
6 ÷ 3 = 2
To find a decimal, we divide 1 ÷ 2 = 0.5
Multiply this by 100 to get a percentage, 0.5 x 100 = 50%
The reliability of a two-component product if the components are in parallel is 0.99.
In this question,
The probability of failure-free operation of a system with several parallel elements is always higher than that of the best element in the system. Reliability can be increased if the same function is done by two or more elements arranged in parallel.
A system contains two components that are arranged in parallel, they are 0.95 and 0.80.
Therefore the system reliability can be calculated as follows
⇒ 1 - ( 1 - 0.95 ) × ( 1 - 0.80 )
⇒ 1 - (0.05 × 0.20)
⇒ 1 - 0.01
⇒ 0.99
Hence we can conclude that the reliability of a two-component product if the components are in parallel is 0.99.
Learn more about reliability of components here
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