The question is a little hard to understand... let me see what i can do. I'll edit what i figure out on here. :) (PS) Did you reword the question? Do you think you could double check and make sure this is what the question looks like?
Started her day with a full bag of apples (?)
She needs 3 for an apple pie
She had 12 total (?)
Or maybe she needs 12 for a pie and now she has 3?
Answer:
(i) The name of the part of the circle, OQ is a radius
(ii) The radius of the sector QOR is 21 cm
Step-by-step explanation:
The given figure is a sector of the circle O
∵ Any sector of a circle formed from 2 radii and an arc
∴ OQ is a radius
(i) The name of the part of the circle, OQ is a radius
The rule of the length of an arc of a circle is L = × 2 π r, where
- α is the angle of the sector
- r is the radius of the circle
∵ The length of the arc QR is 22 cm
∴ L = 22
∵ The measure of the angle of the arc is 60°
∴ α = 60°
∵ π =
→ Substitute them in the rule above
∵ 22 = × 2 × × r
∴ 22 = r
→ Divide both sides by
∴ 21 = r
(ii) The radius of the sector QOR is 21 cm
Answer: D
H0: μ=522
H1: μ>522
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
So, for this case;
The null hypothesis is that the mean score equals to 522
H0: μ=522
The alternative hypothesis is that the mean score is greater than 522.
H1: μ>522
Answer:
3w+7
Step-by-step explanation:
Let's simplify step-by-step.
8v+w+7−8v+2w
=8v+w+7+−8v+2w
Combine Like Terms:
=8v+w+7+−8v+2w
=(8v+−8v)+(w+2w)+(7)
=3w+7