Answer:
The perimeter of the shape is 32.5
Step-by-step explanation:
Since the dashed line is not a perimeter,
we add the circumference of the circle plus the 3 sides of the rectangle
The circumference is of the half circle with its diameter being the opposite side of the rectangle
The opposite side is the length 10
So the radius is half of this which is 10/2 = 5
The circumference of the semicircle is thus;
pi * r = 22/7 * 5 = 15.71
full circle is 2 * pi * r
semi is half of full so we divide formula by 2
So let’s add up
15.71 + 10 + 3.4 + 3.4 = 32.51
9.74 because if you do 604 divided by 62 you will get 9.74 and if you do 9.74 and multiply it by 62 you will get 604<span />
Answer:
1. 
2. 
3. 
Step-by-step explanation:
1. 
I like to make it an improper fraction first.
Now take the LCM. The LCM is 20.
Now add them.
Make this into a mixed number.
That's your answer for number 1.
2. 
Do the same thing as the previous addition problem but subtract instead.
is your answer for number 2.
3. 
is your answer for number 3.
I hope this helps! Let me know if you need help or if I got anything wrong :)
Expression 3,
because 6 and 8 are factors of 48. Since positive 6 & 8 are the two numbers of choice, the product will be positive. My answer is reasonable because if you were to multiply positive 8 and 6 you will get positive 48.
Now cos⁻¹(0.7) is about 45.6°, that's on the first quadrant.
keep in mind that the inverse cosine function has a range of [0, 180°], so any angles it will spit out, will be on either the I quadrant where cosine is positive or the II quadrant, where cosine is negative.
however, 45.6° has a twin, she's at the IV quadrant, where cosine is also positive, and that'd be 360° - 45.6°, or 314.4°.
now, those are the first two, but we have been only working on the [0, 360°] range.... but we can simply go around the circle many times over up to 720° or 72000000000° if we so wish, so let's go just one more time around the circle to find the other fellows.
360° + 45.6° is a full circle and 45.6° more, that will give us the other angle, also in the first quadrant, but after a full cycle, at 405.6°.
then to find her twin on the IV quadrant, we simply keep on going, and that'd be at 360° + 360° - 45.6°, 674.4°.
and you can keep on going around the circle, but only four are needed this time only.
