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2 years ago

In which quadrant does the terminal side of the angle 215° lie?

Mathematics

1 answer:

Ivan2 years ago

5 0

1. You got it right.

4π/9 x 180/π = 80°

2. To get a coterminal angle you start with your angle and then you add or subtract 360° (one cycle around the circle).

-123+360+360 = 597°

-123-360 = -483°

3. The angle is 215° from the point (1,0) on the unit circle. The angle 215° is between 180° and 270° so it is in quadrant 3.

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Solve for p: -9 + p < 15 A. p > 24 B. -p > 6 C. p < 24 D. -p < -6

Soloha48 [4]

Answer:

C. In the given expression -9 + p < 15 , the value of p < 24.

Step-by-step explanation:

Here, the given expression is :

-9 + p < 15

Now, solving for the value of p.

If equals are added to both sides of inequality, the inequality remains unchanged.

Now, -9 + p < 15

⇒ -9 + p + 9 < 15 + 9 (adding +9 on both sides)

or, p < 24

Hence, in the given expression -9 + p < 15 the value of p < 24.

5 0

2 years ago

Please help me with this question PLEASE

uysha [10]

Assume Josh made X cupcakes; Alice made Y cupcakes; Tom made Z cupcakes.
Josh made 10 more cakes than Alice so,
X = Y + 10 ---- 1st Eqn.

Alice made 8 more than Tom so,
Y= Z+8 --- 2nd Eqn.

Total cakes = 62 so,
X+Y+Z = 62 ---- 3rd Eqn.

by solving three equations we get X= 30; Y= 20; Z=12.
So Tom made 12 cupcakes

7 0

2 years ago

Simplify x² + 3x + 2/X +1

kiruha [24]

Answer:

Step-by-step explanation:

It will be 7x+1

3 0

2 years ago

If the inspection division of a county weights and measures department wants to estimate the mean amount of

Amanda [17]

If inspection department wants to estimate the mean amount with 95% confidence level with standard deviation 0.05 then it needed a sample size of 97.

Given 95% confidence level, standard deviation=0.05.

We know that margin of error is the range of values below and above the sample statistic in a confidence interval.

We assume that the values follow normal distribution. Normal distribution is a probability that is symmetric about the mean showing the data near the mean are more frequent in occurence than data far from mean.

We know that margin of error for a confidence interval is given by:

Me= $z/2* ST/\sqrt{N}$

α=1-0.95=0.05

α/2=0.025

z with α/2=1.96 (using normal distribution table)

Solving for n using formula of margin of error.

$n=(z/2ST/Me)^{2}$

n= $(1.96*0.05)^{2} /(0.01)^{2}$

=96.4

By rounding off we will get 97.

Hence the sample size required will be 97.

Learn more about standard deviation at brainly.com/question/475676

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The given question is incomplete and the full question is as under:

If the inspection division of a county weights and measures department wants to estimate the mean amount of soft drink fill in 2 liters bottles to within (0.01 liter with 95% confidence and also assumes that standard deviation is 0.05 liter. What is the sample size needed?

7 0

1 year ago

Which lines, if any, must be parallel based on the given information? Justify your conclusion.

77julia77 [94]

A must be parallel to b.

Proof:
∠3 = ∠13 (given)
∠15 = ∠13 (vertically opposite angles are equal)
Since ∠13 = ∠3 and ∠13 = ∠15, ∠15 = ∠3

Then, a must be parallel to b (transverse line d cuts parallel lines producing converse alternate angles that are equal (ie ∠15 = ∠3))

7 0

2 years ago

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