4p = 6(4p + 5)<br><br>what is the value of p?

How do i get the circumference and area of a circle

Annette [7]

Circumference: C=2pir
C stands for circumference. pi is 3.14... and r is the radius.
of course, you can always do, C=pid. where d is diameter because the radius is half the diameter
Area: A=pir^2
A stands for the Area, pi stands for 3.14... r stands for radius, and the little ^2 is the equation squared. The way to solve that is square the radius and then multiply what you got from squaring the radius by pi.

DO NOT replace radius with the diameter when trying to find the Area

7 0

3 years ago

Can someone please help me?

adoni [48]

Answer:

2. x = 3

3. x = 10 and y =2

Step-by-step explanation:

2.

From inspection, we can see that EF = 10 and KL = 5

Therefore the ratio KL : EF = 5 : 10 = 5/10 = 1/2

This means that the side measures of ΔJKL are 1/2 the corresponding side measures of ΔGEF

Therefore, if GF = 22, then JL = 22 ÷ 2 = 11

So: 2x + 5 = 11

⇒ 2x = 11 - 5 = 6

⇒ x = 6 ÷ 2 = 3

x = 3

3.

From inspection, we can see that DF = 12 and HJ = 9

Therefore the ratio DF : HJ = 12 : 9 = 12/9 = 4/3

This means that the side measures of ΔDEF are 4/3 times the corresponding side measures of ΔHGJ

Therefore, if HG = 6, then DE = 6 x 4/3 = 8

So: 2y + 4 = 8

⇒ 2y = 8 - 4 = 4

⇒ y = 4 ÷ 2 = 2

y = 2

Similarly, if GJ = 24, then EF = 24 x 4/3 = 32

So: 4x - 8 = 32

⇒ 4x = 32 + 8 = 40

⇒ x = 40 ÷ 4 = 10

x = 10

7 0

2 years ago

HELP!!!!!!!!!!!!!! ASAP!

xenn [34]

Answer:

∠ ABC = 87°

Step-by-step explanation:

∠ ABD and ∠ DBE are adjacent angles and are supplementary, sum to 180° , so

2x - 17 + x + 32 = 180 , that is

3x + 15 = 180 ( subtract 15 from both sides )

3x = 165 ( divide both sides by 3 )

x = 55

Then

∠ DBE = x + 32 = 55 + 32 = 87° , thus

∠ ABC = ∠ DBE ( vertical angles )

∠ ABC = 87°

8 0

3 years ago

Read 2 more answers

A recent study focused on the number of times men and women send a WeChat message in a day. The information is summarized next.

Ratling [72]

Answer:

1)Null hypothesis: $\mu_{men}=\mu_{women}$

Alternative hypothesis: $\mu_{men} \neq \mu_{women}$

2) Two critical values are $z_{\alpha/2}=-2.58$ and $z_{1-\alpha/2}=2.58$

3) $z=-2.40$

4) $p_v =2*P(z$

5) Comparing the p value with the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, and a would NOT be a significant difference in the mean number of times men and women send a Twitter message in a day.

Step-by-step explanation:

Data given and notation

$\bar X_{men}=23$ represent the mean for the sample men

$\bar X_{women}=28$ represent the mean for the sample women

$\sigma_{men}=5$ represent the population standard deviation for the sample men

$\sigma_{women}=10$ represent the population standard deviation for the sample women

$n_{men}=25$ sample size for the group men

$n_{women}=30$ sample size for the group women

t would represent the statistic (variable of interest)

$\alpha=0.01$ significance level provided

1）Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the means for the two groups are different, the system of hypothesis would be:

Null hypothesis: $\mu_{men}=\mu_{women}$

Alternative hypothesis: $\mu_{men} \neq \mu_{women}$

Since we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{men}-\bar X_{women}}{\sqrt{\frac{\sigma^2_{men}}{n_{men}}+\frac{\sigma^2_{women}}{n_{women}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

2）Determine the critical value(s).

Based on the significance level $\alpha=0.01$ and $\alpha/2=0.005$ we can find the critical values with the normal standard distribution, we are looking for values that accumulates 0.005 of the area on each tail on the normal distribution.

For this case the two values are $z_{\alpha/2}=-2.58$ and $z_{1-\alpha/2}=2.58$

3) Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

$z=\frac{23-28}{\sqrt{\frac{5^2}{25}+\frac{10^2}{30}}}}=-2.40$

4）What is the p-value for this hypothesis test?

Since is a bilateral test the p value would be:

$p_v =2*P(z$

5）Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, and a would NOT be a significant difference in the mean number of times men and women send a Twitter message in a day.

4 0

3 years ago

Find the volume of a right circular cone that has a height of 14.3 ft and a base with a diameter of 17.2 ft. Round your answer t

katrin [286]

Answer:

the real answer is 1107.5 ft

3

Step-by-step explanation:

Volume of Cone:

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

V=

3

1

πr

2

h

\text{Find radius:}

Find radius:

r=\frac{\text{diameter}}{2}=\frac{17.2}{2}=8.6

r=

2

diameter

=

2

17.2

=8.6

h=14.3\hspace{40px}r=8.6

h=14.3r=8.6

Needed information

V=

\,\,\frac{1}{3}\pi r^2h

3

1

πr

2

h

V=

\,\,\frac{1}{3}\pi (8.6)^2(14.3)

3

1

π(8.6)

2

(14.3)

Plug in

V=

\,\,1107.54545168

1107.54545168

Evaluate in calculator

V\approx

V≈

\,\,1107.5\text{ ft}^3

1107.5 ft

3

5 0

3 years ago

4p = 6(4p + 5)what is the value of p?​

4p = 6(4p + 5)what is the value of p?