8.8, you have to find the distance between each dash and see if the two number lines on #11 match.
Answer:x = 1
Step-by-step explanation:
3x + x/4 = x + 3/4
Subtract x from each side
2x + x/4 = 3/4
Times each side by 4
The 4 beneath the x cancels out
3/4 x 4 = 3
2x + x = 3
3x = 3
Divide each side by 3
x = 1
Area of sector = 1/2 * r^2 * x where r = radius and x = angle in radians
86 = 1/2 * r^2 * pi/4
r^2 = 2 * 86 * 4 / pi = 219
r = sqrt 219
= 14.80
1 meter = 1000 millimeters
so, 5 meters = 5*1000 = 5000 millimeters
and 6000 millimeters = 6000 / 1000 = 6 meters
Answer:
19.2
Step-by-step explanation:
<u>1st Case:</u>
4 and 5 are legs of the right triangle.
Using the pythagorean therom: a^2+b^2=c^2
We can say that 4^2+5^2=x^2
16+25=x^2
41=x^2
x=√41
√41 is about 6.4
x=6.4
<u>2nd Case</u>
5 is the hypotenuse of the right triangle and 4 is the legs.
Using the pythagorean therom: a^2+b^2=c^2
We can say that 4^2+x^2=5^2
16+x^2=25
x^2=9
x=3
<u>Final Step</u>
We need to multiply the two possible lengths for x. So for case 1 the length of x was 6.4 and for case two the length was 3. 6.4*3=19.2
Anwser: <u>19.2</u>