2x + 6 = 10 x= whats the answer?

What type of number is π/2

sweet-ann [11.9K]

Answer:

Step-by-step explanation:

whole number No

integer No

rational : No, because pi is irrational.

irrational: YES. π/2 is the ratio of pi to 2, BUT pi is irrational.

7 0

3 years ago

PLEASE I NEED THIS TODAY!!!

Troyanec [42]

Answer:

Option D $y\leq -3x-3$ and $y$

Step-by-step explanation:

step 1

Find the equation of the inequality A

we know that

The solution of the inequality A (dashed line) is the shaded area below the dashed line

The equation of the dashed line is $y=-\frac{1}{2}x+2$

therefore

The equation of the inequality A is $y$

step 2

Find the equation of the inequality B

we know that

The solution of the inequality B (solid line) is the shaded area below the solid line

The equation of the solid line is $y=-3x-3$

therefore

The equation of the inequality B is $y\leq -3x-3$

The system of linear inequalities is

$y\leq -3x-3$ and $y$

6 0

3 years ago

Imagine you are given the diameter of a circle and asked to find its volume. Select the statement that describes what you should

ivanzaharov [21]

Answer:

We need to take the diameter and divide by 2 to find the radius

Step-by-step explanation:

The volume of a sphere is found by

V = 4/3 pi r^3

So we need the radius

We know the diameter

r = d/2

We need to take the diameter and divide by 2

3 0

4 years ago

Construct the confidence interval for the population mean mu. c = 0.90, x = 16.9, s = 9.0, and n = 45. A 90% confidence inte

Georgia [21]

Answer:

The 90% confidence interval for population mean is $14.7 < \mu < 19.1$

Step-by-step explanation:

From the question we are told that

The sample mean is $\= x = 16.9$

The confidence level is $C = 0.90$

The sample size is $n = 45$

The standard deviation

Now given that the confidence level is 0.90 the level of significance is mathematically evaluated as

$\alpha = 1-0.90$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the standardized normal distribution table. The values is $Z_{\frac{\alpha }{2} } = 1.645$

The reason we are obtaining critical values for $\frac{\alpha }{2}$ instead of that of $\alpha$ is because $\alpha$ represents the area under the normal curve where the confidence level 1 - $\alpha$ (90%) did not cover which include both the left and right tail while $\frac{\alpha }{2}$ is just considering the area of one tail which is what we required calculate the margin of error

Generally the margin of error is mathematically evaluated as

$MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$MOE = 1.645* \frac{ 9 }{\sqrt{45} }$

$MOE = 2.207$

The 90% confidence level interval is mathematically represented as

$\= x - MOE < \mu < \= x + MOE$

substituting values

$16.9 - 2.207 < \mu < 16.9 + 2.207$

$14.7 < \mu < 19.1$

3 0

3 years ago

Answer ASAP. Please give correct answer. (Involves a bunch of circles and trig identities)

iren [92.7K]

Answer:

45.40

Step-by-step explanation:

First of all, the shape of rope is not a parabola but a catenary, and all catenaries are similar, defined by:

y=acoshxa

You just have to figure out where the origin is (see picture). The hight of the lowest point on the rope is 20 and the pole is 50 meters high. So the end point must be a+(50−20) above the x-axis. In other words (d/2,a+30) must be a point on the catenary:

a+30=acoshd2a(1)

The lenght of the catenary is given by the following formula (which can be proved easily):

s=asinhx2a−asinhx1a

where x1,x2 are x-cooridanates of ending points. In our case:

80=2asinhd2a

40=asinhd2a(2)

You have to solve the system of two equations, (1) and (2), with two unknowns (a,d). It's fairly straightforward.

Square (1) and (2) and subtract. You will get:

(a+30)2−402=a2

Calculate a from this equation, replace that value into (1) or (2) to evaluate d.

My calculation:

a=353≈11.67

d=703arccosh257≈45.40

7 0

3 years ago