Answer:
One solution.
Step-by-step explanation:
To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C</em>".
Using the law of sines we have:
Solving for B, we have:
∠B = 29.4°
Therefore, the measure of the third angle is: ∠C = 37.6°
There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.
Therefore, there is one triangle that satisfies the conditions.
Answer:
<u>The correct answer is C. A(x) = 480/x +2x²</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the problem correctly:
Volume of a rectangular prism with square base = 120 cubic feet
Side of the square base = x
Height of the prism = h
2. Write the surface area of the prism as a function A(x) of the length of the side of the square x.
Let's find out A(x) this way:
Volume of a rectangular prism with square base = 120 cubic feet
x² * h = 120
h = 120/x²
Now, let's substitute h in the surface area formula, this way:
Surface area = 2 * side of the square base² + 4 * side of the square base * height
A(x) = 2x² + 4x * 120/x² (Recall 120/x² = h and side of the square = x)
A(x) = 2x² + 480x/x²
<u>A(x) = 2x² + 480/x </u>
<u>The correct answer is C. A(x) = 480/x +2x²</u>
Answer:
Step-by-step explanation:
That is until they met Dr. Gordon Sato who had an idea of how to help them. He proposed that Hargigo plant mangrove trees near the sea because ... From this one mangrove tree grew many, and these trees gave the people of Hargigo hope. ... They really brought the story of the mangrove trees to life.
24=7/8g
divided by 7/8 divided by 7/8
24*8/7=g
192/7=g
27 3/7=g
The answer is D. 27 3/7
