Find the value of each variable in parallelogram ABCD. Please help <3!

Answer:

radius r = 47/π in

length l = 23.5 in

Step-by-step explanation:

Let us recall that:

Volume of a cylinder = [tex]\pi r^2 h[/tex] --- (1)

The girth g = [tex]2 \pi r + h[/tex]      ----- (2)

Given that:

height (h) + girth (g) = 141

Then g = 141 - h   ----- (3)

Equating equation (2) and (3), we have:

141 - h = 2πr + h

2h = 141 - 2πr

h = 70.5 - πr      ------ (4)

From, here now, we can now replace the value of h into equation (1)

i.e.

V = πr²(70.5 - πr)

V = 70.5πr² -  π²r³

Taking the differential of the above equation with respect to r, we have:

[tex]\dfrac{dv}{dr} = 141 \pi r- 3\pi ^2 r^2[/tex]

By further differentiation:

[tex]\dfrac{d^2v}{dr^2} = 141 \pi - 6\pi ^2 r[/tex]

Let set [tex]\dfrac{dv}{dr}= 0[/tex], Then:

141πr - 3π²r² = 0

141πr = 3π²r²

Divide both sides by πr

141 = 3πr

r = 141/3π

r = 47/π in

Replacing the value of r = 47/π into equation (4), we have:

h = 70.5 - πr

h = 70.5 - π(47/π)

h = 70.5 - 47

h = 23.5 in

From equation (3);

h + g = 141

23.5 + g = 141

g = 141 - 23.5

g = 117.5 in

Volume = πr²h

V = π × (47/π )² × 23.5

V = 16523.94 in³

Answer:

The question seems incomplete.

Step-by-step explanation:

The best i could find out is 450p

Answer:

B. 1,1,2,3,5,8,13,21

Step-by-step explanation:

I calculated it logically

Answer:

1 is the answer

Step-by-step explanation:

-5-(-6) = x

-5 + 6 = x

1 = x

Answer:

s1: -5-(-6)

s2: -5 + 6. multiply minus with minus first

s3: +1. simply arthmatic.

Answer:

3.75 x 10^7

a = 3.745 (rounded) or 3.7464 (exact)

b = 7

Step-by-step explanation:

Assuming you meant "a person takes 8.4 x 10^6 breaths

per year" we would multiply the number of people 4.46 x 10° by the number of breaths each person takes 8.4 x 10^6 and we get 37464000 and in scientific notation it would be 3.75 x 10^7

Please add an attachment/photo.

Answer:

There is no picture.

Answer: $0.05

Step-by-step explanation:

Mean of a given set of numbers simply means that one should find the average of the numbers. Therefore, the mean change of the stock prices will be:

= ($1.25 + -$0.75 + $1.25 + -$0.75 + -$0.75) / 5

= $0.25 / 5

= $0.05

Therefore, the mean change of the stock prices is $0.05.

Answer:

42±5.3

Step-by-step explanation:

Answer:                                              

The supplementary angle are:

∠2

∠3

∠6

∠7

Answer:

X=1

Step-by-step explanation:

I just did the math and boom but i think you should use this app https://www.tiger-algebra.com

Answer:

100,000

Step-by-step explanation:

So, when they say how many times larger 3x10^6 is than 3x10^1, they need you to divide 3x10^6 by 3x10^1.

When doing division and multiplcation with exponents, you subtract and add.

So, we have [tex]\frac{3*10^6}{3*10^1}[/tex]

The 3, that doesnt have a exponent on top or bottom, cancels out:

So now we have [tex]\frac{10^6}{10^1}[/tex]

Finally, since we are dividing 10^6 by 10^1, we are actually subtracting the exponents:

So we have [tex]10^5[/tex]

When you distrubute the ^5, you get:

100,000

So this is how many times bigger 3* [tex]10^6[/tex] is than 3*[tex]10^1[/tex]

HOpe this helps! :D

Answer:

21

Step-by-step explanation:

Given that

The holes of golf is 18

The standard deviation of the score is 16.425 strokes

The sample mean is 5.947

And, there is 90% confidence

We need to find out the number of rounds

So,

At 90% confidence interval, the critical value is +/- 1.645

Margin of error = 5.947

Z_0.05 × SD/sqrt (n) = 5.947

1.645 × 16.425/sqrt (n) = 5.947

sqrt(n) = 1.645 × 16.425 ÷ 5.947

sqrt(n) = 4.54

= 21

Answer:

13.  4 sqrt(3)

14.  sqrt(7)/2

Step-by-step explanation:

13.  sqrt(2) * sqrt(3) * sqrt(8)

We know sqrt(a) * sqrt(b) = sqrt(ab)

sqrt(48)

Look for perfect squares

sqrt(16*3)

sqrt(16) sqrt(3)

4 sqrt(3)

14.  sqrt(14)/ 2 sqrt(2)

We know sqrt(a) / sqrt(b) = sqrt(a/b)

sqrt(14/2) / 2

sqrt(7)/2

Hence, the Answer is

13.  4 sqrt(3)

14.  sqrt(7)/2

Solution:

13.  sqrt(2) * sqrt(3) * sqrt(8)

We know sqrt(a) * sqrt(b) = sqrt(ab)

sqrt(48)

Look for perfect squares

sqrt(16*3)

sqrt(16) sqrt(3)

4 sqrt(3)

14.  sqrt(14)/ 2 sqrt(2)

We know sqrt(a) / sqrt(b) = sqrt(a/b)

sqrt(14/2) / 2

sqrt(7)/2

Answer:

15°C

Step-by-step explanation:

Use the following formula to convert Fahrenheit to Celsius:

[tex]C=\frac{5}{9}(F-32)[/tex]

Substitute the value for the variable and solve for C.

[tex]C=\frac{5}{9}(59-32)\\C=\frac{5}{9}(27)\\C=15[/tex]

Therefore, 59°F is equivalent to 15°C.

Answer:

---

Step-by-step explanation:

3 adults and 1 child go to a park. The admission fee for adults is x, and the fee for children is y. They spent a total of 15 dollars. Solve for x and y.

---

hope it helps

sorry if it doesn't. I'm the person who solves the problems, not creates them

Answer:

answer

is 6.325.............

Answer:

2√10

Step-by-step explanation:

I also got this question and it says I got it correct with this answer choice

Answer:

answer in picture

Step-by-step explanation:

Answer:

The answer is C and E

Step-by-step explanation:

Answer: 290

Step-by-step explanation: Because a circle area is 360 and if you subtract 70 from 360 you will get 290

And 290 + 70 = 360

Answer:

24 packages

Step-by-step explanation:

Answer:

The answer is 24

Step-by-step explanation:

Answer:

40 years.

Step-by-step explanation:

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

Brayden saves $1,500 at a yearly simple interest rate of 2.5%.

This means that [tex]P = 1500, I = 0.025[/tex]

How many years does it take for the amount he has saved to be double the original amount?

This will happen when the earned money is the principal, that is, E = 1500. So

[tex]E = P*I*t[/tex]

[tex]1500 = 1500*(0.025)*t[/tex]

[tex]t = \frac{1}{0.025}[/tex]

[tex]t = 40[/tex]

40 years.

Answer:

Step-by-step explanation:

40 years.

Step-by-step explanation:

The simple interest formula is given by:

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

Brayden saves $1,500 at a yearly simple interest rate of 2.5%.

This means that

How many years does it take for the amount he has saved to be double the original amount?

This will happen when the earned money is the principal, that is, E = 1500. So

Answer:

50%

Step-by-step explanation:

Recall : When given a normal or Symmetric distribution, the mean of the distribution is at the centre with 0.5 or 50% of the distribution to either side (right and left) of the distribution.

Hence, if the mean = 21 ; then the percentage of student body with atleast 21 years is the percentage to the left of the distribution, which is 50%.

Therefore, P(x ≤ 21) = 0.5 = 50%

Answer:

The 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends is [tex](0.67 - 1.96\sqrt{\frac{0.67*0.33}{n}}, 0.67 + 1.96\sqrt{\frac{0.67*0.33}{n}})[/tex], in which n is the size of the sample.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

67% of internet users said the internet has generally strengthened their relationship with family and friends.

This means that [tex]\pi = 0.67[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 - 1.96\sqrt{\frac{0.67*0.33}{n}}[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 + 1.96\sqrt{\frac{0.67*0.33}{n}}[/tex]

The 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends is [tex](0.67 - 1.96\sqrt{\frac{0.67*0.33}{n}}, 0.67 + 1.96\sqrt{\frac{0.67*0.33}{n}})[/tex], in which n is the size of the sample.

Answer:

9

Step-by-step explanation:

Highest number is 19 lowest is 10. 19-10 is 9.

Answer:

Kindly check explanation

Step-by-step explanation:

An appropriate research design which may be employed is to perform a random assignment of the 150 students into two groups whereby a certain group is made to perform the jumping exercise and the other group sitting still for 5 minutes, after this concentration level is measured in both groups in other to evaluate if there are differences in concentration levels between the two groups.

Given the hypothesis :

H0: There is no difference in the mean improvement of long-term concentration for either treatment.

Ha: The mean improvement of long-term concentration is greater for the jumping jacks treatment.

A type 1 error occurs when a true null is rejected ; this means that we conclude that The mean improvement of long-term concentration is greater for the jumping jacks treatment when this is actually not true. Hence, students will be allowed to do jumping jack in class but there won't be any improvement.

A type 11 error occurs when we fail to reject a false null hypothesis ; Hence, we conclude that There is no difference in the mean improvement of long-term concentration for either treatment when the jumping Jacks treatment actually does improve concentration level. Hence, the school will fail to allow students do jumping jack in class.

In my opinion, type 11 error is more serious in this scenario because, the school would have failed to identify and ignored a treatment which makes it's students attain a better level of concentration.

Answer:

25 months

Step-by-step explanation:

quick math