Phil bought 700 shares of a company's stock for $9.29/share. He pays a broker a commission of $18 to buy and sell stock. After o
2 answers:
You might be interested in
Equation to find number's value:
Number's value: n = 35
Explanation:
Let n be the unknown number for this problem.
One fifth of a number is the same as .
Three times the number is the same as 3n.
Twice the number plus 42 is the same as 2n + 42.
So, using the information we've gathered so far, we can create the equation that will provide us with n's value.
Equation:
We can use this equation to find n's value.
You can subtract 2n from both sides to get the equation , which is the same thing as the equation we were using.
Now add n and together to get
.
After you do this, your equation should look like .
Now divide both sides by to get n's value.
n = 35
Answer:
m=
n=7
Step-by-step explanation:
Hi there!
We are given a right triangle (notice the 90°) angle, the measure of one of the acute angles as 60°, and the measure of the hypotenuse (the side OPPOSITE from the 90 degree angle) as 14
We need to find the lengths of m and n
Firstly, let's find the measure of the other acute angle
The acute angles in a right triangle are complementary, meaning they add up to 90 degrees
Let's make the measure of the unknown acute angle x
So x+60°=90°
Subtract 60 from both sides
x=30°
So the measure of the other acute angle is 30 degrees
This makes the right triangle a special kind of right triangle, a 30°-60°-90° triangle
In a 30°-60°-90° triangle, if the length of the hypotenuse is a, then the length of the leg (the side that makes up the right angle) opposite from the 30 degree angle is , and the leg opposite from the 60 degree angle is
In this case, a=14, n=, and m=
Now substitute the value of a into the formulas to find n and m to find the lengths of those sides
So that means that n=, which is equal to 7
And m=, which simplified, is equal to
Hope this helps!