Answer:
I and IV
Step-by-step explanation:
Since 1-sin(θ)² = cos(θ)², the given equation is equivalent to ...
√(cos(θ)²) = |cos(θ)| = cos(θ)
This will be true where the cosine is non-negative, in the first and fourth quadrants.
Answer:
11 and 16
Step-by-step explanation:
A good way to solve these is to work backwards.
X= larger and Y= smaller
if X is 5 more than 2Y than subtract 5 from the total
38 - 5 = 33
divide by 3
33/3 = 11
11 = Y and double that is 22 so add the five back into X and you get 16
Answer:
b. the ranges of penguin heights are the same.
Step-by-step explanation:
Hello!
Statements:
Which statement correctly compares the spreads of the distributions?
a. the mode of penguin heights at county side zoo is greater than the mode at city view zoo.
b. the ranges of penguin heights are the same.
c. the range of penguin heights is greater at city view zoo than at county side zoo.
d. the range of penguin heights is greater at county side zoo than at city view zoo.
The mode and mean are measurements of central tendency, these indicate the position of a data set but don't show any information concerning the distribution of said data.
The range on the other had is a measurement of variance, it shows the difference between the maximum and minimum values of the data set and indicates its total dispersion.
City view Zoo R= 44-37= 7 cm
County side Zoo: R= 45-38= 7 cm
Both ranges are the same.
I hope this helps!
45. These word problems often seem to be two equations in two unknowns, here <em>h</em> for hits and <em>m</em> for misses.
"After 30 tries" translates into

+5 for a hit, -10 for a miss, John lost 90 translates to

We have





Answer: 14
Check: 5(14)-10(16)=-90, good
46. We have to make the odd assumption the grocer sells for his cost, but let's not beat up the question too hard.
Again, two unknowns, <em>b</em> kilograms of Brazil nuts and <em>c</em> kilograms of cashews.
<em>... sold 12 kg of the mixture ...</em>

<em>... cashews $8/kg and Brazil nuts $10/kg and the results is $8.50/kg ...</em>
This one's a bit more involved to translate because we have to recognize the total price is the 8.50 per kg times 12 kg.

The solving is pretty much just like the last one; we eliminate the unknown we're not asked for.




Answer: 9
Check: (9(8)+10(3))/12=102/12 = 8.50 good
Answer:
If corresponding vertices on an image and a preimage are connected with line segments, the line segments are divided equally by the line of reflection. That is, the perpendicular distance from the line of reflection to either of the corresponding vertices is the same. Line is a perpendicular bisector of the connecting line segments.
Step-by-step explanation: