Answers
Answer:
x = 89
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
45 = 1/2 AB
90 = arc AB
Angle Formed by Two Chords
= 1/2 ( sum of Intercepted Arcs)
x = 1/2 ( 88+ 90)
x = 1/2 (178)
x = 89
Related Questions
Consider the following hypothesis test.H0:μ1−μ2=0 Ha:μ1−μ2≠0The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1=80n2=70 x¯¯¯1=104x¯¯¯2=106 σ1=8.4σ2=7.6a. What is the value of the test statistic?b. What is the p-value?c. With α=.05,α=.05, what is your hypothesis testing conclusion?
Answers
Answer:
a) [tex]z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53[/tex]
b) [tex]p_v =2*P(z<-1.53)=0.126[/tex]
c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance
Step-by-step explanation:
Information given
[tex]\bar X_{1}= 104[/tex] represent the mean for 1
[tex]\bar X_{2}= 106[/tex] represent the mean for 2
[tex]\sigma_{1}= 8.4[/tex] represent the population standard deviation for 1
[tex]\sigma_{2}= 7.6[/tex] represent the population standard deviation for 2
[tex]n_{1}=80[/tex] sample size for the group 1
[tex]n_{2}=70[/tex] sample size for the group 2
z would represent the statistic
Hypothesis to test
We want to check if the two means for this case are equal or not, the system of hypothesis would be:
H0:[tex]\mu_{1}=\mu_{2}[/tex]
H1:[tex]\mu_{1} \neq \mu_{2}[/tex]
The statistic would be given by:
[tex]z =\frac{\bar X_1-\bar X_2}{\sqrt{\frac{\sigma^2_1^2}{n_1} +\frac{\sigma^2_2^2}{n_2}}}= [/tex](1)
Part a
Replacing we got:
[tex]z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53[/tex]
Part b
The p value would be given by this probability:
[tex]p_v =2*P(z<-1.53)=0.126[/tex]
Part c
Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance
Please answer this correctly
Answers
Answer:
8/25
Step-by-step explanation:
The probability of picking a number less than 9 is 4/5.
The probability of picking an even number is 2/5.
[tex]4/5 \times 2/5[/tex]
[tex]=8/25[/tex]
Please answer this correctly
Answers
Answer:
3/4
Step-by-step explanation:
There are 3 numbers greater than 1. 2, 3, and 4. Since there are 4 numbers total, we get a 3/4 chance.
Answer:
3/4
Step-by-step explanation:
There are four options and 3 of them =3 or greater than 1
P(3 or greater than 1) = 3/4
A pair of surfers collected data on the self-reported numbers of days surfed in a month for 30 longboard surfers and 30 shortboard surfers. Complete parts a and b below.
Longboard: 2, 7, 16, 13, 10, 18, 7, 8, 15, 15, 19, 17, 3, 10, 11, 16, 24 5, 20, 6, 9, 11, 8, 21, 22, 18, 14, 12, 16, 24
Shortboard: 17, 16, 7, 5, 13, 8, 7, 6, 15, 8, 8, 16, 10, 23, 24, 10, 20, 16, 16, 24, 23, 14, 6, 12, 10, 7, 12, 25, 13, 22
a) Compare the typical number of days surfing for these two groups.
The median for the longboards was________ days, and the median for the shortboards was_______ days, showing that those with________ typically surfed more days in this month
b) Compare the interquartile ranges.
The interquartile range for the longboards was________ days, and the interquartile range for the shortboards was_______ days, showing more variation in the days surfed this month for the________
Answers
Answer:
(a)The median for the longboards was 13.5 days, and the median for the shortboards was 13 days, showing that those with longboards typically surfed more days in this month.
(b)The interquartile range for the longboards was 10 days, and the interquartile range for the shortboards was 10.5 days, showing more variation in the days surfed this month for the shortboards.
Step-by-step explanation:
Longboard:
2, 7, 16, 13, 10, 18, 7, 8, 15, 15, 19, 17, 3, 10, 11, 16, 24 5, 20, 6, 9, 11, 8, 21, 22, 18, 14, 12, 16, 24
Sorting in ascending order, we have:
[tex]2, 3, 5, 6, 7, 7, \boxed{8, 8}, 9, 10, 10, 11, 11, 12, \boxed{13, 14,} 15,15, 16, 16, 16, 17, \boxed{18, 18}, 19, 20, 21, 22, 24 , 24[/tex]
Median [tex]=\dfrac{13+14}{2}=13.5[/tex]
[tex]Q_1=\dfrac{8+8}{2}=8 \\Q_3=\dfrac{18+18}{2}=18\\$Interquartile range, Q_3-Q_1=18-8=10[/tex]
Shortboard
17, 16, 7, 5, 13, 8, 7, 6, 15, 8, 8, 16, 10, 23, 24, 10, 20, 16, 16, 24, 23, 14, 6, 12, 10, 7, 12, 25, 13, 22
Sorting in ascending order, we have:
[tex]5, 6, 6, 7, 7, 7, \boxed{8, 8,} 8, 10, 10, 10, 12, 12, \boxed{13, 13} 14, 15, 16, 16, 16, 16, \boxed{17, 20,} 22, 23, 23, 24, 24, 25[/tex]
Median [tex]=\dfrac{13+13}{2}=13[/tex]
[tex]Q_1=\dfrac{8+8}{2}=8 \\Q_3=\dfrac{17+20}{2}=18.5\\$Interquartile range, Q_3-Q_1=18.5-8=10.5[/tex]
Therefore:
(a)The median for the longboards was 13.5 days, and the median for the shortboards was 13 days, showing that those with longboards typically surfed more days in this month.
(b)The interquartile range for the longboards was 10 days, and the interquartile range for the shortboards was 10.5 days, showing more variation in the days surfed this month for the shortboards.
In a jar of coins, 18 out of the 40 coins are dimes. Express the fraction of the coins
that are dimes in three different ways below: (a) as a fraction, (b) as a decimal, and (c) as a percent.
Use long division to determine the decimal.
(a) as a fraction
(b) as a decimal
(c) as a percent
Answers
Answer:
Percent: 20%
Fraction: 1/5
Decimal: 0.20
Step-by-step explanation:
8:40*100 =
( 8*100):40 =
800:40 = 20%
Percent to fraction:
20%=20/100
= 0.2
=0.2×10/10
=2/10
=1/5
Percent to decimal:
20/100 = 0.20
The rectangle has an area of 60 square feet. Find its dimensions (in ft). (x + 4) feet smaller value ___________________ ft larger value ____________________ ft
Answers
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
The rectangle has an area of 60 square feet. Find its dimensions (in ft) if the length of the rectangle is 4 ft more than its widh.
smaller value ___________________ ft
larger value ____________________ ft
Answer:
Smaller value = 6 ft
Larger value = 10 ft
Step-by-step explanation:
Recall that the area of a rectangle is given by
[tex]Area = W \times L[/tex]
Where W is the width and L is the length of the rectangle.
It is given that the rectangle has an area of 60 square feet.
[tex]Area = 60 \: ft^2 \\\\60 = W \times L \\\\[/tex]
It is also given that the length of the rectangle is 4 ft more than its width
[tex]L = W + 4[/tex]
Substitute [tex]L = W + 4[/tex] into the above equation
[tex]60 = W \times (W + 4) \\\\60 = W^2 + 4W \\\\W^2 + 4W - 60 = 0 \\\\[/tex]
So we are left with a quadratic equation.
We may solve the quadratic equation using the factorization method
[tex]W^2 + 10W - 6W - 60 \\\\W(W + 10) – 6(W + 10) \\\\(W + 10) (W - 6) = 0 \\\\[/tex]
So,
[tex](W + 10) = 0 \\\\W = -10 \\\\[/tex]
Since width cannot be negative, discard the negative value of W
[tex](W - 6) = 0 \\\\W = 6 \: ft \\\\[/tex]
The length of the rectangle is
[tex]L = W + 4 \\\\L = 6 + 4 \\\\L = 10 \: ft \\\\[/tex]
Therefore, the dimensions of the rectangle are
Smaller value = 6 ft
Larger value = 10 ft
Verification:
[tex]Area = W \times L \\\\Area = 6 \times 10 \\\\Area = 60 \: ft^2 \\\\[/tex]
Hence verified.
A farmer owns 30 acres of land on which he wishes to grow corn and barely. The cost per acre for seedcorn is $30, and the cost per acre for barely seed is $20. The farmer can invest a maximum of $600 in seed for the two crops. During the cultivation process, the farmer needs to spray fertilizers and insecticides specific to each crop. This costs $10 per acre for corn and $15 per acre for barely. He can invest only $400 in this process.
A) Write the two inequalities that are deciding factors for the number of acres of each crop the farmer will plant, based on the amount of money the farmer will spend on planting and cultivating the two crops.
B) replace the inequality signs in the two any qualities with equal signs. For a graft representing the two equations that influence the farmers choice of how much of each crop to grow.
C) should the lines be dilated or solid? Give reasons for both lines. What area should be shaded?
Help please
Answers
ok hola bro graicas por los punto qui :
In order to study the mean blood pressure of people in his town, Richard samples the population by dividing the residents by age and randomly selecting a proportionate number of residents from each age group. Which type of sampling is used?
Answers
Answer:
Stratified sampling
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
Population divided into groups. Some members of each group are surveyed. This is stratified sampling
Determine whether the parallelogram is a rhombus, rectangle, square, or none. Explain.
Q(1, 3), R(3, 4), S(5, 3), T(3, 2)
Select one:
A. QRST is a rhombus that is not a square because its diagonals are perpendicular but not congruent.
B. QRST is a rectangle that is not a square because its diagonals are congruent but not perpendicular.
C. QRST is a square because its diagonals are both perpendicular and congruent.
D. QRST is none of these because its diagonals are neither congruent nor perpendicular.
Answers
Answer:
Step-by-step explanation:
The diagonals of the given parallelogram are QS and RT. We would first determine if its diagonals are congruent.
QS = √(1 - 5)² + (3 - 3)² = 16
RT = √(3 - 3)² + (4 - 2)² = 4
Since QS ≠ RT, it means that they are not congruent and this means that the parallelogram is not a rectangle.
Let us check if the diagonals are perpendicular.
Slope of QS = (3 - 3)/(5 - 1) = 0/4
Slope of RT = (2 - 4)/(3 - 3) = - 2/0
The slopes are not opposite reciprocals. It means that the diagonals are not perpendicular. Therefore, the correct option is
D. QRST is none of these because its diagonals are neither congruent nor perpendicular.
What are the angle measurements of angles 1 &4 for #1 & measurements of angles 1-3 on #2?
Answers
Answer:
1. To find m∠1, we can notice that ∠1 and 46° are complementary, meaning they add up to 90° This means that m∠1 = 90 - 46 = 44°. We can do the same for ∠4. In this case, ∠4 = 90 - 23 = 67°.
2. To find m∠1, we can use the exterior angle formula which means that the measure of an exterior angle is equal to the sum of both of its remote interior angles. This means that ∠1 = 52 + 62 = 114°. To find ∠2 we can do 180 - 52 - 62 = 66° because the sum of all angles in a triangle is 180°. Since ∠2 and ∠3 are vertical angles, ∠3 = ∠2 = 66°.
Please answer this correctly without making mistakes
Answers
Answer: Anything above 2
Step-by-step explanation:
Answer: 3,4,5,6,7,8,9 (Any of these digits work)
Step-by-step explanation:
We want to find a digit that makes the number greater than 3260.2. There are many digits that can fit in there.
3318.7≥3260.2
Here, we plugged in a 3. that makes this sentence true because 3318.7 is greater than or equal to 3260.2. Since 3 works, we know that any digit greater than 3 would fit.
Will give brainliest answer
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
A ≈ 78.54
▹ Step-by-Step Explanation
A = πr²
A = π5²
A ≈ 78.54
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
Hey there!
The area of a circle can be given by the formula: [tex]\pi r^2[/tex], where r is the radius, and pi is approximately 3.14
The radius is 5, so we have
3.14 (5^2)
3.14 (25)
78.5
Hope this helps :)
A committee of 4 people is chosen from 7 women and 7 men. How many different committees are possible that consist of 2 women and 2 men?
Answers
Answer: 441
Step-by-step explanation:
2 men from 7 will be the members of committee that makes 7*6/2=21 outputs
2 women from 7 will be the members of committee that makes 7*6/2=21 outputs as well.
Total number of outputs is 21*21=441
The number of ways different committees are possible that consist of 2 women and 2 men is 441.
What is binomial?Two terms joined by a plus or minus sign make up a mathematical expression are termed as binomial.
What is the binomial coefficient?The positive integers that appear as coefficients in the binomial theorem are known as binomial coefficients in mathematics. A binomial coefficient is typically written and indexed by the two integers n ≥ k ≥ 0.
There are the binomial coefficient "7 choose 2", i.e. [tex]\frac{7!}{2!5!}=21[/tex] ways to choose 2 people from a set of 7 people.
So, there are 21 ways to choose 2 men and 21 ways to choose 2 women. This means that there is [tex]21^2 = 441[/tex] ways to choose both 2 men and 2 women.
Learn more about application of binomial coefficient from given link.
https://brainly.com/question/14216809
#SPJ2
Pls hurry least to greatest
Answers
Answer:
First choice
Step-by-step explanation:
Start by arranging the exponents of 10 in ascending order.
9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7 * 10^3
The exponents are in ascending order, -8, -6, 3, 3
Since the last two exponents are equal, we must compare the numbers that multiply the powers of 10. They are 2.5 and 7. Since 2.5 < 7, ascending order is 2.5, 7. That means the line above is in ascending order.
Answer: First choice
SO MANY POINTS! JUST GIVE RIGHT ANSWER!
Answers
Answer:
Option (3)
Step-by-step explanation:
Volume of the flavored ice that can be filled in the cone = Volume of the ice cone - volume of the spherical piece of bubble gum
Volume of a cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]
where r = radius of the cone
h = height of the cone
Volume of the ice cone = [tex]\frac{1}{3}\pi (3)^2(5)[/tex]
Volume of a sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] [r = radius of the bubble gum]
= [tex]\frac{4}{3}\pi (\frac{1.1}{2}) ^{3}[/tex]
= [tex]\frac{4}{3}\pi (0.55) ^{3}[/tex]
Volume of the flavored ice filled in the cone = [tex]\frac{1}{3}\pi (3)^2(5)-\frac{4}{3}\pi (0.55) ^{3}[/tex]
Therefore, Option (3) will be the answer.
find the standard deviation of binomial random variable. A die is rolled 18 times and the number of fours that comes up is tallied
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
The standard deviation is [tex]\sigma =1.5811[/tex]
Step-by-step explanation:
The sample size is n = 18
Generally the probability of getting a four in the toss of the fair die is mathematically represented as
[tex]p = \frac{1}{6 }[/tex]
While the probability of not getting a four is
[tex]q = 1 - p[/tex]
[tex]q = 1 - \frac{1}{6}[/tex]
[tex]q = \frac{5}{6}[/tex]
Now the standard deviation for the binomial random number is mathematically represented as
[tex]\sigma = \sqrt{n * pq }[/tex]
substituting values
[tex]\sigma = \sqrt{18 * \frac{1}{6}* \frac{5}{6} }[/tex]
[tex]\sigma =1.5811[/tex]
PLEASE HELP ME! Simplify the expression 3 4 (1440) + 295.25 + (-33.50) to determine how much money the theater brought in.
Answers
Answer:
1341.75
Step-by-step explanation:
I did the math :)
The guy above me is correct
What is the solution to the equation ſ x+1= 3x-79
X=-16
X=-4
x=4
X= 16
Answers
Answer:
x = 40
Step-by-step explanation:
x+1= 3x-79
Subtract x from each side
x-x+1= 3x-x-79
1 = 2x -79
Add 79 to each side
1+79 = 2x-79+79
80 = 2x
Divide by 2
80/2 = 2x/2
40 =x
Answer:
X= 40
Step-by-step explanation:
x+1 = 3x -79 reorganize. I combined 3 steps to get this:
3x -x = 1 + 79
2x = 80
X = 40
Not sure why that is not a choice!
Point M is in the interior of angle AOB, the ray OC is a bisector of this angle. Prove that the measure of angle MOC is equal to one-half the difference of the measure of angles AOM and BOM
Answers
Answer:
Step-by-step explanation:
Given: point M,
m<AOB,
OC the bisector of m<AOB
Thus,
m<AOC = m<BOC (bisector property of OC)
m<MOC = m<BOM (congruence property)
m<AOM - m<BOM = m<AOC = m<BOC
m<BOC = m<MOC = [tex]\frac{m<AOC}{2}[/tex] (angle property)
Therefore,
m<AOM > m<BOM (point M location property)
m<MOC = [tex]\frac{m<AOM - m<BOM}{2}[/tex]
I need help with this asap. (4x+2)(x+1)=
Answers
Answer:
4x² + 6x + 2
Step-by-step explanation:
Solve by factoring.
4x · x = 4x²
4x · 1 = 4x
2x · 1 = 2x
2 · 1 = 2
Combine like terms.
4x² + 4x + 2x + 2
= 4x² + 6x + 2
Hope this helps.
full can of milk weighs 70 pounds. If exactly half of the milk is poured out, it weighs 38 pounds. How much does the empty can weigh?
Answers
Answer:
the milk weighs less than 70 pounds
milk = 64 half of 64 = 32 difference between 32 and 38= 6 64+6 = 70
empty can =6 pounds
Answer:
38 is the weight with the can so if we subtract the total weight by the weight of half we can see how much the can weighs
70 - 38 = 32
38 - 32 = 6 so the can weighs 6 pounds.
Hope this helps
Step-by-step explanation:
A 90% confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. The interval was ($139,048, $154,144). Give a practical interpretation of the interval.
a) 90% of the sampled CEOs have salaries that fell in the interval $139,048 to $154,144b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144. c) 90% of all CEOs in the electronics industry have salaries that fall between $139,048 to $154,144d) We are 90% confident that the mean salary of the sampled CEOs falls in the interval $139,048 to $154,144.
Answers
Answer:
b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.
Step-by-step explanation:
Confidence interval:
Confidence level of x%
We build from a sample.
Between a and b.
Intepretation: We are x% sure that the population mean is between a and b.
In this question:
90%
45 CEO's
Between ($139,048, $154,144).
So
We are 90% sure that the mean salary of all CEO's falls within this interval.
The correct answer is:
b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.
Solve the equation. Round the solution to the nearest tenth . Enter the solution set of the equation . 2P o =P 0 (1.053)^ t
Answers
Answer: t= 13.4
Step-by-step explanation:
The given equation is [tex]2P_0=P_0(1.053)^t[/tex]
To solve this equation for 't', we first divide both sides by [tex]P_0[/tex], we get
[tex]2=(1.053)^t[/tex]
Taking log on both the sides, we get
[tex]\log 2= \log(1.053)^t[/tex]
Since [tex]\log a^b=b\log a[/tex]
Then,
[tex]\log 2= t\log1.053\\\\\Rightarrow0.30103=t(0.02243)\\\\\Rightarrow t=\dfrac{0.30103}{0.02243}\\\\\Rightarrow t=13.4208649131\approx13.4[/tex]
Hence, the value of t is 13.4.
Write the Maclaurin series for f(x) = x^7e^x5. (2 points) a) the summation from n equals 1 to infinity of the quotient of x to the 7th power and n factorial b) the summation from n equals 0 to infinity of the quotient of x to the 12th power and the quantity n plus 5 factorial c) the summation from n equals 0 to infinity of the quotient of x to the quantity 5 times n plus 7 power and n factorial d) the product of x raised to the 5 times n power and the summation from n equals 1 to infinity of the quotient of x to the 7th power and n factorial
Answers
Recall that
[tex]e^x=\displaystyle\sum_{n=0}^\infty\frac{x^n}{n!}[/tex]
Then
[tex]e^{x^5}=\displaystyle\sum_{n=0}^\infty\frac{x^{5n}}{n!}[/tex]
and
[tex]x^7e^{x^5}=\displaystyle\sum_{n=0}^\infty\frac{x^{5n+7}}{n!}[/tex]
Select the two binomials that are factors of this trinomial.
x2 + 6x + 8
O A. X+4
O B. x+8
O C. X-4
O D. x+ 2
SUBMIT
Answers
Hey there! :)
Answer:
A. x + 4
D. x + 2
Step-by-step explanation:
Starting with:
x² + 6x + 8
Find numbers that add up to 6 and multiply to 8. We get:
2, 4.
Put these into the factors:
(x + 2)(x + 4)
Therefore, the correct answers are:
A. x + 4
D. x + 2
Find the approximations T10, M10, and S10 for π 7 sin x dx. 0 (Round your answers to six decimal places.)
Answers
Answer:
Step-by-step explanation:
Well, since it was not given the interval let's use the interval [0,5] with n=10
So now, for the Trapezoidal Rule to approximate the area enclosed by the Integral of: [tex]f(x)=7\pi \sin(x)[/tex]
[tex]T_{10}=\frac{b-a}{2n}[f(a)+2f(x_1)+ ....2f(x_{n-1})+f(b)][/tex] Plugging in:
[tex]T_{10}=\frac{5-0}{2*10}[f(0)+2f(\frac{1}{2})+2f(1)+2f(\frac{3}{2})+2f(2)+2f(5/2)+2f(3)+2f(7/2)+2f(4)+2f(9/2) +f(5)][/tex]
[tex]T_{10}=\frac{1}{4}[0+21.086+37+43.87+39.99+26.322+6.20-15.43-33.285-42.99-21.087][/tex]
[tex]T_{10}\approx 15.419[/tex]
Now the same area according to Simpson rule:
[tex]S_{10}=\frac{b-a}{3n}[f(a)+4f(x_{1})+2f(x_{2})+4f(x_{3} )+2f(x_{4})+4f(x_{5})+2f(x_{6})+4f(x_{7})+2f(x_{8})+4f(x_{9})+f(b)]\\S_{10}=\frac{5}{3*10}[0+74.01+43.87+79.98+26.322+12.413-15.43-66.571-42.99-21.08]\approx 15.085[/tex]
[tex]S_{10}\approx 15.0585[/tex]
1/3 times the difference of a number and five is -2/3 which equation best shows this
Answers
Answer:
[tex]\frac{1}{3}*(x-5)=\frac{-2}{3}[/tex]
Step-by-step explanation:
Let the number be x
Difference of a number & 5 : x-5
1/3 time the difference of a number & 5: 1/3 (x-5)
Equation:
[tex]\frac{1}{3}*(x-5)=\frac{-2}{3}[/tex]
Solution:
[tex]x-5=\frac{-2}{3}*\frac{3}{1}\\\\x-5=-2\\\\x=-2+5\\x=3[/tex]
Charles's law states that at constant pressure, the volume of a fixed amount of gas varies directly with its temperature measured in Kelvins. A gas has a volume of 250 ml at 300°K. a.) Write an equation for the relationship between volume and temperature. b.) What is the volume if the temperature increases at 420°K?
Answers
Answer:
equation is pv=nRT
p, n, R are constants
so, v is directly proportional to Temperature
v1/v2=T1/T2
250/v2=300/420
v2=350
a water storage tank is in the shape of a hemisphere. If the radius is 29ft, approximate the volume of the tank in cubic feet
Answers
Answer:
The answer is 51080.2 cubic feetStep-by-step explanation:
Volume of a hemisphere is given by
[tex]V = \frac{2}{3} \pi {r}^{3} [/tex]
where r is the radius of the hemisphere
From the question
r = 29 ft
Substitute the value of r into the formula
That's
[tex]V = \frac{2}{3} \pi \times {29}^{3} [/tex]
[tex]V = \frac{48778}{3} \pi[/tex]
We have the final answer as
V = 51080.2 cubic feetHope this helps you
According to this diagram, what is tan 74°?