Answer:
Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?
A. 125 B. 156 C. 192 D. 208 E.317
The volume of the toy is 125 cubic cm ,option A is the closest answer.
Step-by-step explanation:
Given:
A rectangular container .
Length of the container =8 cm
Width of the container = 6 cm
Height of the container when water is filled =
= 4 cm
Height of the container when the toy is submerged =
=6.6 cm
Volume of the toy = Volume of the container with the toy - Volume of the container (with water)
Volume of the toy = 
= 
= 
= 
=
cubic centimeters.
So,the closest value to the volume of the toy is 125 cubic centimeters.
Answer:
Is D I think
Step-by-step explanation:
<em>Here we are required to determine the initial monthly fee charged by the electric company.</em>
The initial fee charged by the electric company is; C = $10
To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.
y = mx + c.
- where m = slope of the relation.
- and c = <em>intercept = the initial fee charged by the electric company</em>.
- y = <em>Monthly charge at each time</em>.
To find the slope;
By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).
Therefore, m = 0.12 , y = 82 and X = 600;
we then have;
Therefore, the initial fee charged by the electric company is; C = $10.
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Answer:

Step-by-step explanation:
Recall the negative angle identity for the sine function:
Then, we can find the value of
:

Now recall the definition of the tangent function:

Therefore, now that we know the value of
, we can solve in this equation for 
