Answer:
Square root ( 2 )
Step-by-step explanation:
We have to determine which value is equivalent to | f ( i ) | if the function is: f ( x ) = 1 - x. We know that for the complex number: z = a + b i , the absolute value is: | z | = sqrt( a^2 + b^2 ). In this case: | f ( i )| = | 1 - i |. So: a = 1, b = - 1. | f ( i ) | = sqrt ( 1^2 + ( - 1 )^2) = sqrt ( 1 + 1 ) = sqrt ( 2 ).
Answer:
x=6
Step-by-step explanation:
6 times 2 equals 12. 12 +3 equals 15!
Hope this helps :)
We can set up a proportion.
2/3 = x/1
Cross multiply.
2 * 1 = 2. 3 * x = 3x, so we have 3x = 2.
Now we can divide 3 by 2 to get our answer, which is 1.5. :)
Answer: For Ryan to get an average of exactly 91, she needs to get a 90 on her fifth quiz.
Step-by-step explanation:
You can find the average of a set of numbers by adding them together and dividing the sum by the amount of numbers added.
Ryan has five total quizzes. Only four of them are known, so we can represent her fifth quiz as X.
, dividing the five quizzes' sum by 5
She wants the average to be exactly 91, so you can set the expression equal to 91 and solve:
For Ryan to get an average of exactly 91, she needs to get a 90 on her fifth quiz.
Answer:
128.67 feet
Step-by-step explanation:
We would be solving this question using the Trigonometric function of tan.
Tan( of the angle of elevation) = height of the tower ÷ height of the shadow.
Angle of elevation = 65°
Height of the tower = unknown, which is designated as X
Height of the shadow = 60 feet.
Therefore,
tan 65° = X/ 60 feet
We crossmultiply
X = tan 65° × 60 feet
X = 128.67041523 feet.
Approximately, X = 128.67 feet.
Therefore, the tower is 128.67 feet tall.
