Answer:
In terms of π, the area of the shaded sector is 108πin²
Step-by-step explanation:
Area of the shaded sector, which is the major sector=x°/360(πr²)
A=270/360×π×(12in)²
A=¾π×144in²
A=108πin²( in terms of π)
So this is just working with exponents, but negative exponents can be a little tricky. your example didn't do a great job of showing how you calculate negative exponents.
for #2, you have 10⁻⁶
to convert negative exponents into something that makes more sense to our brain, you can set it beneath 1:
... or, in the event that you can't see that because you're on the app: (1)/(10⁶). so now, instead of calculating 10⁻⁶, which would probably give you a confusing decimal, you just need to figure out 10⁶ -- and positive exponents are much easier to deal with.
10⁶ = 1,000,000
BUT remember that you have to put this value beneath a 1 to account for your negative exponent and (1/1,000,000) is your answer for part A.
so, use the same steps for the rest of the problems:
1) convert negative exponent to positive exponent beneath 17⁻³ = (1)/(7³)
2) calculate 7³7³ = 343
<span>
3) your result is (1/343)</span>
<span>for 12</span>⁻², again, you'll put it beneath 1 so that it becomes (1)/(12²), then you'll calculate 12² (12*12 = 144), so that your result is (1/144). that leaves the letter D for number 2, which you'll have to write into your boxes at the top.
i hope this helps! you can message me if you have any specific ones that cause you trouble and i'll do my best to help.
Answer:
The relationship ⇒ <u>25x + 40y = 12,250</u>
Step-by-step explanation:
The number of student memberships = x
The number of adult memberships = y
The monthly membership fee for a student = $25
The monthly membership fee for an adult = $40
The total fee = 25x + 40y
Al's Athletic Club receives $12,250 in membership fees for the month of January.
So, the relationship between x and y is:
<u>25x + 40y = 12,250</u>
Answer:
AB = 4.73
Step-by-step explanation:
Given BC = 2 and A = 25
°
To find AB we have to use sin function in trig equation:
sin A = BC/AB
sin 25° = 2/AB
Multiply both sides by AB
AB x sin 25° = 2
AB x 0.42 = 2
Dividing the equation by 0.42
AB = 4.73
Answer:
y will increase by 8
Step-by-step explanation:
y = 8x+2
We increase x by 1
Replace x with x+1
y = 8(x+1) +2
y = 8x+8+2
y = 8x+2 +8
y will increase by 8