x² - 80 = 0
Add 80
to each side: x² = 80
Square root
each side: x = √80
Look it up: x = + 8.944... (rounded)
and
x = - 8.944... (rounded).
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Here's a cleaner solution:
x² - 80 = 0
Add 80
to each side: x² = 80
Square root
each side: x = √80
But 80 = 16 · 5
So √80 = √16 · √5
√16 = 4, so x = 4 √5
Let, the number of cars = x
Then, x*30/100 = 12
x*30 = 1200
x = 1200/30 = 40
so, your answer would be 40
The set contains the values of x between 7 and 10. If x is an integer, it contains 8 and 9
Answer:
x=63.25
Step-by-step explanation:
Hi there!
We're given ΔDEF with m<E=90°, m<D=49°, DE=55, and EF=x
we need to find the value of x
Let's use trigonometry to do it
Since we are given the measures of the 2 legs (the sides that make up the 90° angle), let's use tangent, specifically tan(49), since we are given the measure of that angle
Recall that tangent is 
in reference to m<D (the angle that is 49°), the opposite side is EF (x) and the adjacent side is DE (55)
so tan(49)=
plug tan(49) into your calculator; remember to have the calculator on degree mode
tan(49)≈1.15 (rounded to the nearest hundredth)
so that means:
1.15=
multiply both sides by 55 to clear the fraction
63.25=x
Hope this helps!
Answer:
Step-by-step explanation:
so, by the Pythagorean theorem
If it is a right triangle:
a^2 + b^2 = c^2
so,
6^2 = 36
8^2 = 64
10^2 = 100
okay, now we plug these into the equation
36 + 64 = 100
so yes, it is a right triangle.
Hope this helped!