34.65 divided by 1.5

Is sin A is 7/10 what is Cos A

viva [34]

Answer:

Cos A = (√51)/ 10

Step-by-step explanation:

sin is opposite/hypothenuse

cos is adjacent/hypothenuse

Pythagorus theorem says that c² = a² + b²

10² = 7² + b²

b² = 100 - 49

b = ±√51

It doesn't make sense for a length to be a minus number therefore, we will use +√51.

Cos A = (√51)/ 10

Tell me if I am wrong.

Can I get brainliest

5 0

3 years ago

Suppose that a random sample of 10 adults has a mean score of 62 on a standardized personality test, with a standard deviation o

aniked [119]

Answer:

The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.645*\frac{4}{\sqrt{10}} = 2.08$

The lower end of the interval is the sample mean subtracted by M. So it is 62 - 2.08 = 59.92

The upper end of the interval is the sample mean added to M. So it is 62 + 2.08 = 64.08.

The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.

5 0

2 years ago

a cone with a radius of 3” has a total area of 24pie square inches. Find the volume of the cone. 12pie, 24 pie or 15 pie

Ratling [72]

Answer:

$12\pi (inches)^{2}$

Step-by-step explanation:

Given:

radius of cone = 3 inch

Total area of cone = $24\pi (inch)^{2}$

Find the volume of the cone?

We know the area of cone = $\pi r(r+s)$ -------(1)

Where r = radius

Ans s = side of the cone

Put the area value in equation 1

$24\pi=\pi r(r+s)$ -------(1)

$\frac{24\pi }{\pi r} =r+s$

$\frac{24}{ r}-r =s$

Put r value in above equation.

$s =\frac{24}{ 3}-3$

$s=8-3$

$s=5$

The side s = 5 inches

We know the side of the cone formula

$s^{2}=r^{2}+ h^{2}$

$h^{2}=s^{2}- r^{2}$

Put r and s value in above equation.

$h^{2}=5^{2}- 3^{2}$

$r^{2} = 25-9$

$r^{2} = 16$

$r = 4$

The volume of cone is

$V = \frac{1}{3} \pi r^{2} h$

Put r and h value in above equation.

$V = \frac{1}{3} \pi (3)^{2}\times 4$

$V = 12\pi (inches)^{2}$

The Volume of the cone is $12\pi (inches)^{2}$

7 0

3 years ago

I WILL GIVE BRAINLEST!!! (6 points!)

vlada-n [284]

Answer:

OPTION A: 2x + 3y = 5

Step-by-step explanation:

The product of slopes of two perpendicular lines is -1.

We rewrite the given equation as follows:

2y = 3x + 2

⇒ y = $\frac{3}{2}x + 1$

The general equation of the line is: y = mx + c, where 'm' is the slope of the line.

Here, m = $\frac{3}{2}$ .

Therefore, the slope of the line perpendicular to the line given = $\frac{-2}{3}$ because $\frac{3}{2} \times \frac{-2}{3} = -1$ .

To determine the equation of the line passing through the given point and a slope we use the Slope - One - point formula which is:

y - y₁ = m(x - x₁)

The point is: (x₁, y₁) = (-2, 3)

Therefore, the equation is:

y - 3 = $\frac{-2}{3}$ (x + 2) $

⇒ 3y - 9 = -2(x + 2)

⇒ 3y - 9 = -2x - 4

⇒ 2x + 3y = 5 is the required equation.

6 0

3 years ago

Read 2 more answers

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weqwewe [10]

Step-by-step explanation:

To divide fractions, we have to focus on 4 steps, which are:

1: Change to improper fractions

2: Keep the same

3: Change the sign to multiplication

4: Flip the 2nd fraction in the equation

So, step one:

1/3 / 4/5

Step two:

1/3 / 4/5

Step three:

1/3 x 4/5

Step four:

1/3 x 4/5 = (4 / 15)

4/15 is in simplist for.

Therefore, your answer is 4/15.

Best of Luck to you!!

4 0

3 years ago