Answer:
The missing leg is 8 feet and the hypotenuse is 10 feet.
Step-by-step explanation:
Use the Pythagorean theorem which is A²+B²=C².
So we know the first side is 6 so plug that into the equation which would now be 6²+B²=C².
Because the hypotenuse is 2 feet longer than the missing leg we can plug in C=B+2 which would now make it 6²+B²=(B+2)².
Now we solve what we have so far which would now make the equation 36+B²=B²+4B+ 4.
Now we can figure out that 4B=32.
Now isolate the variable, B, by divide both side of 4B=32 by 4.
This gives us B=8.
So the other side is 8 feet.
Since we know that the hypotenuse is 2 feet longer than the leg we just add 2 feet to the original 8 feet to find the hypotenuse to be 10 feet.
(325-120)/2.5=2050/25=82
=>82 students attended the dance
Answer:
8/3x + 6 (first option)
Step-by-step explanation:
Well youc an use the destructive property, multiply 2/3 with each number in this expression
2/3* 4x= 8/3x
and
2/3 *9 is 6
Now just plug it in as usual
8/3x+6
0.083, I used my caculater, hope i helped
Answer:
Step-by-step explanation:
The first thing we have to do is find the measure of angle A using the fact that the csc A = 2.5.
Csc is the inverse of sin. So we could rewrite as
or more easy to work with is this:
and cross multiply to get
2.5 sinA = 1 and
which simplifies to
sin A = .4
Using the 2nd and sin keys on your calculator, you'll get that the measure of angle A is 23.58 degrees.
We can find angle B now using the Triangle Angle-Sum Theorem that says that all the angles of a triangle have to add up to equal 180. Therefore,
angle B = 180 - 23.58 - 90 so
angle B = 66.42
The area of a triangle is
where h is the height of the triangle, namely side AC; and b is the base of the triangle, namely side BC. To find first the height, use the fact that angle B, the angle across from the height, is 66.42, and the hypotenuse is 3.9. Right triangle trig applies:
and
3.9 sin(66.42) = h so
h = 3.57
Now for the base. Use the fact that angle A, the angle across from the base, measures 23.58 degrees and the hypotenuse is 3.9. Right triangle trig again:
and
3.9 sin(23.58) = b so
b = 1.56
Now we can find the area:
so
A = 2.8 cm squared
