Answer: A.
Step-by-step explanation:
To answer this, you must first understand what fractional exponents mean.
An exponent of 1 is simply the base itself. 7^1 = 7.
An exponent of 2 is squaring the base: 7^2 = 49.
An exponent of 1/2 is taking the square root of the base: 7^(1/2) = sq root of 7
Therefore, an exponent of 1/3 is taking the cube root of the base.
In this case, the base is 2.03 * t.
Therefore, this can be represented as the cube root of the product of 2.03 and the age of the mammal, so the answer is A.
Answer:
percentage of the total capacity is 75.6%
Step-by-step explanation:
Hello! To solve this problem we follow the following steps
1. draw the complete scheme of the problem (see attached image)
2. To solve this problem we must find the area of the circular sector using the following equation.(c in the second attached image)
3. observing the attached images we replace the values in the equations and find the area of the circular sector, remember that you must transform the angle to radians
4.we calculate the area of the total circle (At), then subtract the area of the circular sector (Ac) to find the area occupied by water (Aw)
Aw=At-Ac=153.93-37.57=116.36ft^2
5.Finally, we calculate the percentage that represents the water in the tank by dividing the area of the water over the total area of the tank
percentage of the total capacity is 75.6%
Answer:
4x-3y+12=0 is required eqn
Step-by-step explanation:
Let, 3,8 be x1,y1
9,16 be x2,y2
Now,
Eqn of st.line is y-y1 = y2-y2/x2-x1 * (x-x1)
y-8 = 16-8/9-3 * (x-3)
y-8 = 4/3*(x-3)
3y-24 = 4x-12
4x-3y+12=0 is required eqn
The x axis is the one going this way : ——— the y is the opposite going up so you just have to number it and add the dots
<h3>
Answer: <u>
100 ft</u>
is the hypotenuse</h3>
===================================================
Work Shown:
a = 60 and b = 80 are the two known sides
c is the unknown hypotenuse
Applying the pythagorean theorem gets us...
a^2 + b^2 = c^2
60^2 + 80^2 = c^2
3600 + 6400 = c^2
10,000 = c^2
c^2 = 10,000
c = sqrt(10,000)
c = 100
A quick way to see that 100 ft is the missing side is to note that a 6,8,10 right triangle scales up to 60,80,100 after multiplying all three sides by 10.
Or you could start with a 3,4,5 right triangle and multiply all three sides by 20.
