Answer:
Using the 30-60-90 triangle to find sine and cosine
sin(60 degrees) = 2√3 4.
sin(60 degrees) = √3 2.
sin(30 degrees) = 2 4.
sin(30 degrees) = 1 2.
cos(60 degrees) = 2 4.
cos(60 degrees) = 1 2.
cos(30 degrees) = 2√3 4.
cos(30 degrees) = √3 2.
In the accompanying diagram of the right triangle ABC, what is tan C?
1 answer:
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Logarithmic functions and exponential functions are inverse and opposite of one another
The logarithmic function is , and the length at 8 pascals is 3 units
The exponential function is given as:
Express f(x) as y
Swap the positions of x and y
Take the logarithm of both sides
Apply the rule of logarithm
Divide both sides by log(2)
Apply the change of base rule of logarithm
When the strength is 8 pascals, we have:
Express 8 as 2^3
So, we have:
Evaluate log 2 base 2
Hence, the logarithmic function is , and the length at 8 pascals is 3 units
Read more about logarithmic and exponential functions at:
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.