Answer: 6
Step-by-step explanation: 12x+3=75
-3 -3
<u>12x</u>=<u>72</u>
12 12
x=6
Answer:
The first side= 9 inches
The second side=12 inches
The third side=7 inches
Step-by-step explanation:
Lets make expressions to represent each of the three sides of the triangle.
If we start with the second side and say its length is x inches, then the first side becomes (x-3) inches.
The third side is gotten by subtracting 2 inches from this first side. Then its expression becomes: (x-3)-2 which can be simplified to x-5 inches.
The perimeter of a triangle is found by adding the lengths of the three sides of the triangle, thus, we add the three expressions and then equate the result to the numerical value of the perimeter.
x+(x-3)+x-5=28
3x-8=28
collecting like terms together we get:
3x=36
x=12 inches
Therefore, the first side (x-3) we substitute for x so 12-3=9
second side x is 12
the third side x-5 gives 12-5=7
The x in the formula is the depth.
You are given two different depths, replace x with the depths, solve for T, then subtract the to find the difference:
At 1200 meters the temperature is:
T = 4500/1200 = 3.75 degrees
At 3750 meters the temperature is:
T = 4500 / 3750 = 1.20 degrees.
The difference in temperature between the two depths is:
3.75 - 1.20 = 2.55 degrees C.
AB = 30 in and BC = 50 in.
We use Pythagorean theorem to solve this. Since AN is an altitude, this means that it is perpendicular to BC. This means BN and AN are the legs of one right triangle, with AB being the hypotenuse:
18²+24² = AB²
324 + 576 = AB²
900 = AB²
Take the square root of both sides:
√900 = √AB²
30 = AB
NC and AN form the legs of the other right triangle, with AC being the hypotenuse:
24²+NC² = 40²
576 + NC² = 1600
Subtract 576 from both sides:
576 + NC² - 576 = 1600 - 576
NC² = 1024
Take the square root of both sides:
√NC² = √1024
NC = 32
BC = BN + NC = 18 + 32 = 50
Answer:
He will earn 18 dollars in interest.
Step-by-step explanation:
I got this answer form multiplying 10% of 90 by 2, which 10% of 90 is 9, and 9 times 2 is 18, so that's how I got my answer. Please comment on this answer to tell me if it's wrong. I hope it is right and that this really helps you. Have a great day!