Answer:
'scuse me sir? haha
Step-by-step explanation:
A) The answer is 24 m
x - the distance from the spot on the beach to the parking lot
Triangles that are divided by x distance is similar, and therefore:
x : 18 = 32 : x
x * x = 18 * 32
x² = 576
x = √576
x = 24
Thus, the distance <span>the spot on the beach from the parking lot is 24 m.
</span>
b) The answer is 40 m.
x - the distance from the spot on the beach to the parking lot
b - distance from the parking lot to the refreshment stand.
First, find the horizontal leg (a) of the biggest right triangle. According to the Pythagorean theorem:
a² + b² = c²
a = ?
b = ?
c = 32 m + 18 m = 50 m
Find a from the right triangle which sides are a (as a hypotenuse), x, and 18 m.
x² + 18² = a²
x = 24
24² + 18² = a²
576 + 324 = a²
900 = a²
a = √900
a = 30 m
Now, find b:
a² + b² = c²
30² + b² = 50²
900 + b² = 2500
b² = 2500 - 900
b² = 1600
b = √1600
b = 40 m
Thus the distance from the parking lot to get the refreshment stand is 40 m.
Answer:
x = -2 or x = 1/2
Step-by-step explanation:
First get the eq in standard form, which means:
x² should not have that 2 in front of it
move the other 2 to the left
so first let's divide by 2:
x² + 3/2 x = 1
now move the 1 to the left
x² + 3/2 x - 1 = 0
now look for two numbers that, when multiplied, give -1, and when added, give 3/2. This is a bit of trial-and-error if you want to solve in this way.
The numbers are 2 and -1/2, since 2*-1/2 = -1, and 2 - 1/2 = 3/2
The factorization thus is:
x² + 3/2 x - 1 = (x+2)(x-1/2) = 0
Either factor (x+2) or (x-1/2) can be zero to solve the solution, hence x = -2 or x = 1/2
Set up a proportion.
27% = 0.27
81/0.27 = x/1
Multiply 1 to both sides:
x = (81 * 1)/0.27
Multiply:
x = 81/0.27
Divide:
x = 300
So they hope to sell 300 magazine subscriptions.
I hope this helps! Just follow the instructions.
