Answer:
x=12
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
9^2 + x^2 = 15^2
81 + x^2 = 225
Subtract 81 from each side
x^2 =225-81
x^2 =144
Take the square root of each side
sqrt(x^2) = sqrt(144)
x=12
<h2>4000 miles (6,437.38 kilometers)</h2>
Since 1 inch is 500 miles on the map, 8 inches would be 8 times more than 500 miles.
In this problem, we have to use <u>multiplication method</u> to solve the problem.
Multiply 500 miles × 8 inches. In simplified manner:
500 × 8
We get the answer:
500 × 8 = 4000
Final result:
<h3>
4000 miles</h3>
<em>Hope this helps :)</em>
For the figure on the left, the answers are a = 8 and b = 4
This is a 30-60-90 triangle. The short leg is always opposite the smallest angle (30 degrees). The rule is the smallest side is opposite the smallest angle. Similarly, the largest side is opposite the largest angle. In a right triangle the largest side is always opposite the 90 degree angle. This side is the hypotenuse.
Recall that the longer leg is sqrt(3) times the short leg. The notation "sqrt" is shorthand for "square root".
So long leg = (short leg)*sqrt(3) which means b = 4 must be the case to end up with long leg = 4*sqrt(3)
The hypotenuse is twice that of the short leg, so a = 2*b = 2*4 = 8
=======================================
For the figure on the right, the answers are x = 2*sqrt(3) and y = 2
The short leg is y, which is opposite the 30 degree angle (this is another 30-60-90 triangle). So y is half of the hypotenuse 4. That explains how y = 2.
The long leg x is equal to sqrt(3) times the short leg, so
(long leg) = (short leg)*sqrt(3)
x = y*sqrt(3)
x = 2*sqrt(3)
9514 1404 393
Answer:
b) x < -4
Step-by-step explanation:
Eliminate parentheses and you have ...
4x +4 > 16 +7x
-12 > 3x . . . . . . . . subtract 4x+16
-4 > x . . . . . . . . divide by 3
The number line will have an <em>open circle</em> at -4 and be shaded to the <em>left</em>. The pictures are a bit fuzzy, but we think choice B has that description.
