Answer:
x = 98
Step-by-step explanation:
From the given above, we can formulate the equation:
W = C / 218
By substituting the given values:
W = 1090 calories / (218 calories / 1 ounce)
W = 5 ounce
<span>Therefore the guinea pigs will gain additional 5 ounce if
the diet was increased by 1090 calories.</span>
Answer:
A: the proposed route is 3.09 miles, so exceeds the city's limit
Step-by-step explanation:
The length of the route in grid squares can be found using the Pythagorean theorem on the two parts of the route. Let 'a' represent the length of the route to the park from the start, and 'b' represent the route length from the park to the finish. Then we have (in grid squares) ...
a^2 = (12-6)^2 +3^2 = 45
a = √45 = 3√5
and
b^2 = (6 -2)^2 +4^2 = 32
b = √32 = 4√2
Then the total length, in grid squares, is ...
3√5 + 4√2 = 6.7082 +5.6569 = 12.3651
If each grid square is 1/4 mile, then 12.3651 grid squares is about ...
(12.3651 squares) · (1/4 mile/square) = 3.0913 miles
The proposed route is too long by 0.09 miles.
Answer:
A. A cylinder with diameter 8 units
Step-by-step explanation:
∵ The <u>line</u> m is the <em>central axis</em>
So the radius is 4 units. ∴ Diameter is 8 units.
∵ The picture is a <em>rectangle</em>.
[ The <em>rectangle rotates</em> are its side to form a <em>cylinder</em> ]
So a cylinder with diameter 8 units.
The answer is A.
Answer:
1) The terminal side lies in quadrant 2
2) cosФ = -15/17
3) tanФ = -8/15
Step-by-step explanation:
1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1
2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17
3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15
