Answer:
D. 10.6
Step-by-step explanation:
Using Pythagoras' theorem
hyp² = side ² + side²
hyp² = 7² + 8²
hyp² = 49 + 64
hyp² = 113
hyp = sqrt of 113
hyp = 10.6
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Answer:
Sarah is making 4 batches of granola bars. She needs 7/8 cup peanuts to each batch and her measuring cup holds 1/8 cup.
Thus, if one cup holds then to make , Sarah will have to measure = 7 times for one batch of granola bars.
Therefore, for making 4 batches of granola bars, Sarah must measure 1/8 cup peanuts 7 x 4=28 times.Step-by-step explanation:
Answer: The angle through which the pendulum travels =
.
Step-by-step explanation:
Formula: Length of arc:
, where r= radius ( in radians) ,
= central angle.
Given: Length of pendulum (radius) = 45 cm
Length of arc= 27.5 cm
Put these values in the formula, we get

In degrees ,
![\theta=\dfrac{11}{18}\times\dfrac{180}{\pi}=\dfrac{110\times7}{22} \ \ \ \ [\pi=\dfrac{22}{7}]](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cdfrac%7B11%7D%7B18%7D%5Ctimes%5Cdfrac%7B180%7D%7B%5Cpi%7D%3D%5Cdfrac%7B110%5Ctimes7%7D%7B22%7D%20%5C%20%5C%20%5C%20%5C%20%20%20%20%5B%5Cpi%3D%5Cdfrac%7B22%7D%7B7%7D%5D)

Hence, the angle through which the pendulum travels =
.
Answer:
15x^3y+6x^2y^2+9xy^3
Step-by-step explanation:
3xy ( 5x^2 +2xy +3y^2)
Distribute the 3xy to all terms in the parentheses
3xy*5x^2+3xy*2xy+3xy*3y^2
15x^3y+6x^2y^2+9xy^3