Answer:
f(x) = g(x-9)
Step-by-step explanation:
Answer: it will take them about 24 minutes working together
Step-by-step explanation:
1/40 + 1/60 =
6/240 + 4/240 = 10/240 = 1/24
1/24 = 1/t
Cross multiplication:
1*t = 1*24
t= 24
Answer:
If
, the slang height of the cone is approximately 23.521 inches.
Step-by-step explanation:
The surface area of a cone (A) is given by this formula:

Where:
- Base radius of the cone, measured in inches.
- Slant height, measured in inches.
In addition, the slant height is calculated by means of the Pythagorean Theorem:

Where
is the altitude of the cone, measured in inches. If
, then:

And:

Given that
, the following second-order polynomial is obtained:

Roots can be found by the Quadratic Formula:



As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.
Answer:
260cm²
Step-by-step explanation:
area of this parallelogram 20×13=260cm²
Answer: 4 / 5
Explanation:
1) For a right triangle, the ratio sine is defined as:
sin(x) = opposite-leg / hypotenuse
2) x is the angle. In this case: A
3) As per the figure, the opposite leg to tha angle A measures 28
4) As per the figure, the hypotenuse measures 35
5) Calculations:
sin(A) = 28 / 35
Simplify dividing both numerator and denominator by 7 => 28/35 = 4/5