Answer:

Step-by-step explanation:
Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:
The height of a triangle is 5 cm shorter than its base. This means that:
.
The area of the triangle is 25 cm²
By definition the area of a triangle is:

For this triangle we know that
and
. We substitute these values in the equation and solve for B.


Now we use the quadratic formula to solve the equation.
For an equation of the form
the quadratic formula is:

In this case note that: 
Then:



The solutions are:


For this problem we take the positive solution.

Now we substitute the value of B in the equation to find the height h


Answer:
<em>t = 1.51</em>
Step-by-step explanation:
<u>Exponential Model</u>
The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.
The model can be expressed as

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.
The value of k is not precisely given in the question, we are assuming 
The model is now

We are required to compute the time it takes the mass to reach one-half of its initial value:

Simplifying

Taking logarithms

Solving for t

Answer:
5/9 (F-32) = 25
Step-by-step explanation:
5/9 (F-32) = C
Multiply each side by 9/5
5/9 * 9/5 (F-32) =9/5 C
F -32 = 9/5 C
Add 32
F -32 +32 = 9/5 C +32
F = 9/5 C +32
We want 25 C to Fahrenheit
F = 9/5 *25 +32
F = 9*5 +32
F = 45+32
F = 77
Answer:
x=20
Step-by-step explanation:
Hey there! :)
All you have to do is divide the numerator(top number) by the denominator(bottom number).
17 ÷ 8 = 2.125
Rounded to the nearest hundredth = 2 places after the decimal point.
After the 2 is a 5. If it's 5 or greater, you move it up by 1.
2 + 1 = 3
2.125 = 2.13
Your answer is A ⇒ 2.13
Hope this helps :)