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svetoff [14.1K]
2 years ago
7

In which quadrant does θ lie if the following statements are true: cos⁡θ>0 and sin⁡θ>0

Mathematics
1 answer:
Papessa [141]2 years ago
6 0

Answer:

First quadrant

Step-by-step explanation:

cosθ > 0 in first/ fourth quadrants

sinθ > 0 in the first/ second quadrants

sinθ and cosθ are both > 0 in the first quadrant

Then θ lies in the first quadrant

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PLSSS HELP
Dennis_Churaev [7]

The correct standard form of the equation of the parabola is:

(x+3)^{2}= 4(y - 3).

<h3 /><h3>What is a parabola?</h3>

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix). An essential curve of the coordinate geometry's conic sections is the parabola.

For the given question,

Vertex of parabola is (-3,3)

Thus, the equation of the parabola is:

(x-h)^{2}=4(y-k)

(x+3)^{2}= 4(y-3)

Learn more about parabolas here:

brainly.com/question/64712

#SPJ1

4 0
2 years ago
Can anyone solve this for me? and show how you got that answer?
Mashutka [201]

53=20+x

Subtract 20 from 20 and 53

33=x

Hope this helps!

P.S.

Nice tab theme :P

6 0
2 years ago
What is 8.5% of 70 when you multiply
tigry1 [53]
5.95 is your answer. Have a wonderful day
4 0
3 years ago
Read 2 more answers
The average size of 8 farms in Indiana County, Pennsylvania, is 191 acres with standard deviation of 38 acres. The average size
Grace [21]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. it is a two-tailed test. Let μ1 be average size of farms in Indiana County, Pennsylvania and μ2 be the average size of farms in Greene County, Pennsylvania.

The random variable is μ1 - μ2 = difference in the average size of the farms in Indiana County and the average size of the farms in Greene County.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 191

μ2 = 199

s1 = 38

s2 = 12

n1 = 8

n2 = 10

t = (191 - 199)/√(38²/8 + 12²/10)

t = - 0.57

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [38²/8 + 12²/10]²/[(1/8 - 1)(38²/8)² + (1/10 - 1)(12²/10)²] = 37986.01/4677.36142857143

df = 8

We would determine the probability value from the t test calculator. It becomes

p value = 0.58

Let us assume a significance level of 0.05

Since alpha, 0.05 < than the p value, 0.58, then we would accept the null hypothesis. Therefore, at a significance level of 5%, there is not sufficient evidence to conclude that the average size of the farms in Indiana County and the average size of the farms in Greene County are different.

4 0
3 years ago
What is x if the volume of<br> the box is 70 in^3 ?
kirza4 [7]

Answer:

12.25.

Step-by-step explanation:

1) the formula of the volume given in the condition is:

V=2*2/7*10x.

2) If V=70, then

2*2/7*10x=70, where x=12.25.

6 0
2 years ago
Read 2 more answers
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