Find the surface area of the polyhedron below. The area of each base is 65 cm^2
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Question:

Convert the angle θ=260° to radians.

Express your answer exactly.

θ = ___ radians

Answer:

260° = 13π/9 or 4.54 rad

Step-by-step explanation:

Given

θ=260°

Required

Convert from degree to radians

To convert an angle in degrees to radians, we simply follow the steps below.

1° = 1 * π/180 rad

Replace the 1° with x

So,

x° = x * π/180 rad.

Now, we assume that x = 260

This means that we substitute 260 for x. This gives

260° = 260 * π/180

260° = 260π/180

Divide numerator and denominator by 20

260° = 13π/9

We can leave the answer in this form or solve further.

Take π as 22/7. This gives

260° = 13/9 * 22/7

260° = 286/63

260° = 4.5396825397

260° = 4.54 rad (Approximated)

The value of an angle 260 degree into radians is,

⇒ 260 degree = 13π/9 radians

WE have to given that,

To convert an angle 260 degree into radians.

Now, WE know that;

1 degree = π/180 radians

Hence, We can convert an angle 260 degree into radians as,

1 degree = π/180 radians

260 degree = 260 x π/180 radians

260 degree = 13π/9 radians

Thus, WE get;

260 degree = 13π/9 radians

Learn more about the measurement unit visit:

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Answer:

35 yards

Step-by-step explanation:

20yd+15yd

you add 20yd and the 15yd and that is your area.

Answer:

A; C

Step-by-step explanation:

x = (1/2)(125 - 27) -->

x = (1/2)(98) -->

x = 49 (A)

_________

x = RS -->

(x+2)(2) = (3+5)(3) -->

2x + 4 = 9 + 15 -->

2x = 9 + 15 - 4 -->

2x = 20 -->

x = 10 (C)

Answer:

Anything more than 89.8 miles

Step-by-step explanation:

Since Hertz charges $108/week, divide that by 7 so you have the daily rate.

Which is $15.43. Then set 28 = 15.43 + .14x. Subtract 15.43 from both sides.

12.57 = .14x Then divide both sides by .14  x = 89.8 miles is the break even point, so anything over that is when the Avis price would be less and anything under that is when the Hertz price is less.

Answer:

The factors of the expression [tex]f(x)= 3x^{2} + 4x + 1[/tex] are (3x + 1)(x + 1).

Step-by-step explanation:

The expression is:

[tex]f(x)= 3x^{2} + 4x + 1[/tex]

Factorize the expression as follows:

[tex]f(x)= 3x^{2} + 4x + 1[/tex]

       [tex]=3x^{2}+3x+x+ 1\\\\=3x(x+1)+1(x+1)\\\\=(3x+1)(x+1)[/tex]

Thus, the factors of the expression [tex]f(x)= 3x^{2} + 4x + 1[/tex] are (3x + 1)(x + 1).

Answer: It shows correct if this is the model your looking for

Step-by-step explanation:

Answer:

[tex]z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936[/tex]  

The p value can be founded with this formula:

[tex]p_v =P(z<-0.936)=0.175[/tex]  

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

Step-by-step explanation:

Information given

[tex]\bar X_{1}=7.6[/tex] represent the mean for Gibbs products

[tex]\bar X_{2}=8.1[/tex] represent the mean for the competitor

[tex]\sigma_{1}=2.3[/tex] represent the population standard deviation for Gibbs

[tex]\sigma_{2}=2.9[/tex] represent the sample standard deviation for the competitor

[tex]n_{1}=40[/tex] sample size for the group Gibbs

[tex]n_{2}=55[/tex] sample size for the group competitor

[tex]\alpha=0.05[/tex] Significance level provided

z would represent the statistic

Hypothesis to verify

We want to check if babies using the Gibbs brand gained less weight, the system of hypothesis would be:  

Null hypothesis:[tex]\mu_{1}-\mu_{2}=0[/tex]  

Alternative hypothesis:[tex]\mu_{1} - \mu_{2}< 0[/tex]  

The statistic would be given by:

[tex]z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936[/tex]  

The p value can be founded with this formula:

[tex]p_v =P(z<-0.936)=0.175[/tex]  

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

Answer:

x= 10

Step-by-step explanation:

1/5 x -2/3 = 4/3

Add 2/3 to each side

1/5x -2/3 +2/3 = 4/3 +2/3

1/5x = 6/3

1/5x = 2

Multiply each side by 5

1/5x * 5 = 2*5

x = 10

Answer:

228 of them are made from wool, but there is no enough information to determine how many would he has in stock.

Step-by-step explanation:

Mr Ollivander's stuffed bear shop has 456 bears in stock, and exactly half of them are made from wool, this means that 1/2 of 456 are made from wool

1/2 of 456 = 1/2 × 456 = 456/2 = 228.

That is 228 of them are made from wool.

However, nothing tells us that this is all he has in his stock. There is no information available to determine how many would he has in stock.

Answer:

1/1 x 7/1 x 1/12

Is there any options?

Step-by-step explanation:

Answer:6/8 adding 1/4

Step-by-step explanation: Because im right probably

Answer:

Total cost of covering the pedestal is $12.54.

Step-by-step explanation:

The pedestal is a square prism so top and bottom are of square shape.

Hence, we have here length = width

We know that the Total Surface Area of a Prism is:

[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]

Where l is length,

w is width and

h is height of prism

We know that here w = l = 3 feet

and h = 4 feet

Also, underside of pedestal is not to be covered.

The underside of pedestal is square type.

So,

[tex]\text{Required Total Surface Area = } l\times w+ 2\times w \times h+2\times h \times l[/tex]

[tex]\Rightarrow 3 \times 3 + 2 \times 3 \times 4 + 2 \times 3 \times 4\\\Rightarrow 9 + 24 + 24\\\Rightarrow 57\ ft^{2}[/tex]

Cost of cover per square foot = $ 0.22

Total cost of [tex]57\ ft^{2}[/tex]  [tex]\Rightarrow 0.22 \times 0.57 = \$12.54[/tex]

Answer:

The solutions to the system of equations are [tex]y=4,\:x=5[/tex].

Step-by-step explanation:

To solve the system [tex]\begin{bmatrix}4x+5y=40\\ 6x+3y=42\end{bmatrix}[/tex]

First,

[tex]\mathrm{Multiply\:}4x+5y=40\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:12x+15y=120\\\\\mathrm{Multiply\:}6x+3y=42\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:12x+6y=84[/tex]

[tex]\begin{bmatrix}12x+15y=120\\ 12x+6y=84\end{bmatrix}[/tex]

Subtract the first equation from the second equation

[tex]12x+6y=84\\\underline{-12x-15y=-120}\\-9y=-36[/tex]

Solve [tex]-9y=-36[/tex] for y:

[tex]\frac{-9y}{-9}=\frac{-36}{-9}\\y=4[/tex]

For [tex]12x+15y=12[/tex] plug in [tex]y=4[/tex] and solve for x

[tex]12x+15\cdot \:4=120\\12x=60\\x=5[/tex]

The solutions to the system of equations are:

[tex]y=4,\:x=5[/tex]

Answer:

The overview of the problem is listed in the segment below on the explanation.

Step-by-step explanation:

The given values are:

Sample mean, [tex]\bar{Z}=0.017[/tex]

The hypothesized mean value, [tex]\mu_{0}=0.02[/tex]

Population standard deviation, [tex]\sigma=0.036[/tex]

As we know, the status of the test is as follows:

⇒  [tex]z^* = \frac{\bar X - \mu_0}{\frac{\sigma}{\sqrt{n}}}[/tex]

On putting the values, we get

⇒       [tex]= \frac{0.017 - 0.02}{\frac{0.036}{\sqrt{40}}}[/tex]

⇒       [tex]=-0.5357[/tex]

Now, even though this is a one-sided check, here so the p-value is measured as:

[tex]p=P(Z<-0.5357)[/tex]

  [tex]=0.2[/tex]

Consequently p-value > 0.05 the check isn't relevant so there is no data to suggest that perhaps the concentration of mercury fallen from 1980 until 2012.  

Let x represent the amount of money Gloria  earned mowing lawns.

We have been given that Gloria earned a total of $810 over the summer. She earned $162 babysitting and the rest  from mowing lawns.

The total amount earned by Gloria would be amount earned from baby sitting and lawn mowing that is [tex]x+162[/tex].

Now we will equate total earnings of Gloria by 810 as:

[tex]x+162=810[/tex]

[tex]x+162-162=810-162[/tex]

[tex]x=648[/tex]

Therefore, Gloria earned $648 from mowing lawns.

Answer:

Gloria earned $648 from mowing lawns

Step-by-step explanation:

Answer:

96 square feet

Step-by-step explanation:

Area= length x width

So for the rug it would be 12x8

12x8=96

Answer:

C

Step-by-step explanation:

The expression that represents the expected count of leased SUVs from the given data is; C: (35)(30)/95

We are given;

sample size; n = 95 vehicles

From the table gotten online, we see that;

There are 20 owned SUV's and 10 leased SUV's

From the chi square results gotten from online calculator, we can say that; the expected count of leased SUVs is gotten as;

(35)(30)/95

Therefore we can conclude that the expression that represents the expected count of leased SUVs is option C.

Read more about Chi Square Test at; https://brainly.com/question/4543358

Answer:

27.5 pages read per hour

Step-by-step explanation:

Answer:

80 books = $400

Step-by-step explanation:

Answer:

Yes, he is correct

Step-by-step explanation:

d = sqrt[(6-2)² + (3-4)²]

d = sqrt[4² + (-1)²]

d = sqrt(16 + 1)

d = sqrt(17)

Answer:

A

Step-by-step explanation:

Yes he is correct.

he didn't substitute the values in the wrong places.

he did use the proper order of operations.

he didn't evaluate the powers incorrectly.

Therefore, A is correct.

Answer:

A sample size of 657 is needed.

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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

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

95% confidence level

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

In the past, 19% of all homes with a stay-at-home parent had the father as the stay-at-home parent.

This means that [tex]\pi = 0.19[/tex]

(a) What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03?

A sample size of n is needed.

n is found when [tex]M = 0.03[/tex]

Then

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

[tex]0.03 = 1.96\sqrt{\frac{0.19*0.81}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.19*0.81}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.19*0.81}}{0.03}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.19*0.81}}{0.03})^{2}[/tex]

[tex]n = 656.91[/tex]

Rounding up to the nearest whole number.

A sample size of 657 is needed.

Answer:

  s = 2/3t

Step-by-step explanation:

For some time (t) in minutes, Sarah can iron "s" shirts:

  s = (12/18)t

  s = 2/3t

_____

If you need to, you can start with a proportion:

  shirts/minutes = s/t = 12/18

Then multiply by t to get the above equation.

Square prism + Triangular prism. Hope it helps.

Answer:

we can conclude that more than 50% of community college students plan to vote in the next presidential election

Step-by-step explanation:

Decision Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 95% confidence interval) ---- reject Null hypothesis

Z score < Z(at 95% confidence interval) ------ accept Null hypothesis

Null hypothesis H0: 50% of community college students plan to vote in the next presidential election

H0: p = 0.50

Ha: More than 50% of community college students plan to vote in the next presidential election

Ha: p > 0.50

P-value = 0.02

From the decision rule;

Since the p-value for this study is less than the significance level.

0.02 < 0.05

So, we reject the null hypothesis, there is enough evidence to reject the null hypothesis. We thereby accept the alternative hypothesis.

Therefore, we can conclude that more than 50% of community college students plan to vote in the next presidential election

Answer:

x=10

Step-by-step explanation:

9x-3=87

add 3 to both sides

9x=90

divide by 9 on both sides

x=10

Answer:

x=10

Step-by-step explanation:

9x-3=87

you add 3 to both sides

9x-3(+3)=87(+3)

which equals

9x=90

90/9= 10

answer:

x =10

I hope this helped!

Answer:

  it is not on the graph

Step-by-step explanation:

Put the given values into the equation and see if it is true:

  -2(2) +1/3(6) = -1

  -4 +2 = -1 . . . . . . . .FALSE

The point is not on the graph of the equation.

Answer:

I dont know sorry

Step-by-step explanation:

Answer:

its a relation

Step-by-step explanation:

Answer:

step 2

Step-by-step explanation:

khan academy

Answer:

r=idk

y=idk

Step-by-step explanation:

Answer:

The number of mice that will be infected next week are 130 while

The number of mice that will be infected in 3 weeks are 111

Step-by-step explanation:

From the information given , the researcher is studying the spread of a virus in a population of 1000 laboratory mice. i.e, n = 1000

Number of infected = 300

Non infected = 1000 - 300 = 700

Probability an infected mouse will overcome = 80% = 0.8

Probability a noninfected mouse becomes infected = 10% = 0.10

The number of infected that will overcome = 0.8 * 300 = 240

The number of non infected that will become infected = 0.1 * 700 = 70

The number that will be infected on the first week =

300 - 240 + 70

= 130

Number that will be healthy on the first week =

700 + 240 - 70

= 870

Calculating for week 2:

The number of infected that will overcome = 0.8 * 130 = 104

The number of non infected that will become infected = 0.10 * 870 = 87

The number that will be infected on the second week =

130 - 104 + 87

= 113

Number that will be healthy on the second week =

870 + 107 - 87

= 887

Calculating for week 3:

The number of infected that will overcome = 0.8 * 113 = 90.4

The number of non infected that will become infected = 0.10 * 887 = 88.7

The number that will be infected on the third week =

113 - 90.4 + 88.7

= 111.3 ≈ 111

Number that will be healthy on the third week =

887 + 90.4 - 88.7

= 888.7 ≈ 889

From our calculations, the number of mice that will be infected next week are 130

The number of mice that will be infected in 3 weeks are 111

Answer:

80

Step-by-step explanation:

I just did this and its right!

Answer:

80

Step-by-step explanation:

step-by-step explanation is xy xyz wyz xyz 80