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Find the indicated side for each triangle below:​

Answer:

-8.05E14

Step-by-step explanation:

If you arent familiar with E notation it means the same thing as [tex]10^x[/tex] where x is the number proceeding the E

Answer:

a=96

b=42

c=138

Step-by-step explanation:

as lines BA and BC are equal, angles BAC and BCA are also equal, so b = 42. Now a can be found by 180 - 42 - 42 as sum of angles in a triangle is 180. The line AC is a straight line, so b + c = 180 , so c = 180 - 42 = 138

Answer:

8.25 min

Step-by-step explanation:

1600 m / 5.5 min = pace

2400  /  (1600 / 5.5 ) = 8.25 min

Answer:

  D. 12p + 36 > 480

Step-by-step explanation:

The number of pages read is the sum of the number already read (36) and the product of the number read each day (p) and the number of days (12). Rylee wants this number of pages read to be more than 480.

__

The inequality expressing a sum greater than 480 is ...

  12p +36 > 480 . . . . choice D

None of the above because all are examples of the closure property as it relates to polynomials.

A function is known to be closed if its input value is equal to its output.

Accordng to the question, we need to select the function that obeys the law of closure.

To select the correct polynmials, we need to determine the function that has its left hand side equal to the right.

From the given options,we can see that all their right hand sides are equal to the left, hence we can conclude that "none of the above because all are examples of the closure property as it relates to polynomials"

Learn more on closure property here: https://brainly.com/question/17475166

Answer:

a45 = 320

Step-by-step explanation:

The 45th term of the Arithmetic Sequence will be 355.

We have a Arithmetic Sequence with a = 3 and d = 8.

We have to determine the 45th term of this sequence.

The formula to calculate the nth term of an Arithmetic Sequence is -

a(n) = a + (n - 1)d

a - first term of A.P.

d - Common difference of A.P.

n - position of term

According to the question -

a = 3

d = 8

n = 45

Then, using the formula to calculate the nth term, we get -

a(n) = a + (n - 1)d

a(45) = 3 + (45 - 1)8

a(45) = 3 + 44 x 8

a(45) = 3 + 352

a(45) = 355

Hence, the 45th term of the Arithmetic Sequence will be 355.

To solve more questions on Arithmetic Sequences, visit the link below-

https://brainly.com/question/19828148

#SPJ2

Answer:

[tex]\huge\boxed{\bf\: 83 \: yd^{2}}[/tex]

Step-by-step explanation:

Consider rectangle ABCD.

Here,

AB = DC = 9 yd (length = l)

AD = BC = 7 yd (width = w)

Area of this rectangle:

= l * b

= 9 * 7

= 63 yd²

[tex]\rule{150pt}{2pt}[/tex]

Now, take rectangle DEGF.

Here,

DE = FG = 5 yd (length = l)

DF = EG = 4 yd (width = w)

Area of this rectangle:

= l * b

= 5 * 4

= 20 yd²

[tex]\rule{150pt}{2pt}[/tex]

Total area of the compisite figure:

= Area of rectangle ABCD + Area of rectangle DEGF

= 63 yd² + 20 yd²

= 83 yd²

[tex]\rule{150pt}{2pt}[/tex]

For a regular 17-gon, the measure of the internal angles is:

a =  158.8°

The measure of the sum of the internal angles of a regular figure of N sides is:

(N - 2)*180°

For the case where N = 17, we have:

(17 - 2)*180° = 2,700°

That is the measure of the sum of the internal angles, and we have 17 of them, so the measure of each angle is:

2,700°/17 = 158.8°

If you want to learn more about angles, you can read:

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[tex]14^{-x+10}~~ = ~~13^{3x} \\\\[-0.35em] ~\dotfill\\\\ \log(14^{10-x})=\log(13^{3x})\implies (10-x)\log(14)=x\log(13^3) \\\\\\ 10-x=\cfrac{x\log(13^3)}{\log(14)}\implies \cfrac{10-x}{x}=\cfrac{\log(13^3)}{\log(14)}\implies \cfrac{10}{x}-\cfrac{x}{x}=\cfrac{\log(13^3)}{\log(14)}[/tex]

[tex]\cfrac{10}{x}-1=\cfrac{\log(13^3)}{\log(14)}\implies \cfrac{10}{x}=\cfrac{\log(13^3)}{\log(14)}+1\implies \cfrac{10}{~~\frac{\log(13^3)}{\log(14)}+1~~}=x \\\\\\ \cfrac{10}{~~\frac{\log(13^3)+\log(14)}{\log(14)}~~}=x\implies \cfrac{10\log(14)}{\log(13^3)+\log(14)}=x[/tex]

6+6+8+14=34 all you need to do is add them I think

Using it's concept, it is found that the probability that the special ball is chosen is given by:

[tex]p = \frac{1}{C_{n,k}}[/tex]

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The total number of outcomes is given by the combination of k balls from the set of n balls, given by:

[tex]C_{n,k} = \frac{n!}{k!(n - k)!}[/tex]

One ball is special, hence the probability the special ball is chosen is given by:

[tex]p = \frac{1}{C_{n,k}}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

Step-by-step explanation:

4x - 96 = 0

4x = 96

x = 96/4

x = 24

Hope it helps you :)

The capital market line with fee will be 0.3771 and the capital allocation line will be 0.24.

The slope of the capital market line will be:

= (17% - 7% - f)/27

= (10% - f)/27

f = 0.3771

The slope of the capital allocation line will be:

= (13% - 7%) / 25%

= 0.24

The reward to variability ratio will be:

= (17 -7)/27

= 0.3771

The client's reward to variability ratio will be:

= (13 - 7)/25

= 0.25

This shows that the client will be disadvantaged of the switch since it's lower.

Learn more about capital on:

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Answer:

x = 1

Step-by-step explanation:

Given:

2(3x - 7) + 18 = 10

Solution:

Subtract 18 from both sides

2(3x - 7) + 18 = 10

              - 18    -18

---------------------------

2 (3x-7) = -8

Now divide both sides by 2

2 (3x-7)               -8

-----------     =  ------------

  2                      2

Simplify

3x - 7 = -4

Then add 7 to both sides

3x - 7 = -4

   + 7     +7

--------------------

3x = 3

Divide both sides by 3

3x                     3

-----------     =  ------------

  3                     3

x = 1

Thus, Solution : x =1

~Lenvy~

Answer:

[tex]x = 1[/tex]

Step-by-step explanation:

Simplify both sides of the equation

[tex]2(3x - 7) + 18 = 10[/tex]

Distribute

[tex](2)(3x) + (2)( - 7) + 18 = 10 \\ 6x + - 14 + 18 = 10[/tex]

Combine like terms

[tex](6x) + ( - 14 + 18) = 10[/tex]

[tex]6x + 4 = 10[/tex]

Subtract 4 from both sides

[tex]6x + 4 - 4 = 10 - 4[/tex]

[tex]6x = 6[/tex]

Divide both sides by 6

[tex] \frac{6x}{6} = \frac{6}{6} [/tex]

[tex]x = 1[/tex]

Using the normal approximation to the binomial, it is found that there is a 0.119 = 11.9% probability that at least 60 will return next month.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, we have that:

Thus, the mean and the standard error for the approximation are given as follows:

Using continuity correction, the probability that at least 60 will return next month is P(X > 60 - 0.5) = P(X > 59.5), which is 1 subtracted by the p-value of Z when X = 59.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{59.5 - 54}{4.6476}[/tex]

Z = 1.18

Z = 1.18 has a p-value of 0.881.

1 - 0.881 = 0.119.

0.119 = 11.9% probability that at least 60 will return next month.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

it will take approximately 6.67 annum(years) to double the price of an item that is inflated by 15% each annum(year)

Step-by-step explanation:

[tex]0.07 \times x = 441[/tex]

[tex]x = \frac{441}{0.07} [/tex]

[tex]x = 6300[/tex]

Answer:

how  to find the mean: add all your values together then divide them by how many numbers u added

example:

5,7,9,9,10

add= 40

divide by 5, we have 5 values = 8

[tex]~~~~~\dfrac 13 \ln\left(x^6 \right) +\dfrac 12 \ln\left(x^2\right) = \ln x^a\\\\\implies \ln \left(x^6 \right)^{\tfrac 13} + \ln \left(x^2 \right)^{\tfrac 12} = \ln x^a\\ \\\implies \ln x^2 + \ln x = \ln x^a\\\\\implies \ln(x^2 \cdot x) = \ln x^a \\\\\implies \ln x^3 = \ln x^a\\ \\\implies 3 \ln x = a \ln x\\\\\implies a =3[/tex]

There is a probability of 22.66% that their average catch is less than 31.5 pounds

The z score is used to determine by how many standard deviations the raw score is above or belaw the mean. It is given by:

z = (raw score  - mean)/ (standard deviation ÷ √sample)

Given that, mean = 32, std = 4, sample = 36, hence:

For 31.5:

z = (31.5 - 32) / (4 ÷√36) = -0.75

P(z < -0.75) = 0.2266

There is a probability of 22.66% that their average catch is less than 31.5 pounds

Find out more on z score at: https://brainly.com/question/25638875

Answer:

D=9×30 and B=4x+20°=9.-30 B a 420

Step-by-step explanation:

1. feet/min

2. square feet/min

3. cubic feet/min

4. square feet/min

A)

Hence rate of walking should be measured in feet/minute

B)

Hence rate of painting should be in sqaure feet per minute

C)

Hence rate of paining is measured in cubic feet per minute

D)

Hence rate of mopping should be in sqaure feet per minute

Answer:

20 Box.

The answer is B.

Step-by-step explanation:

Given information:

Each box is 60 cm^3.

Total Volumes boxes are 1200 cm^3.

Divide Total Box/Each Box.

[tex]1200/60=20 box[/tex]

Answer:

B

Step-by-step explanation:

Total volume 1200 divided by each box of 60 = 20 boxes

Option A has 16 boxes

Option B has 20 boxes

Option C has 30 boxes

Option D has 24 boxes

Therefore, the correct answer is B

Answer:

the cost of 9 articles is 40.5

Answer:

2 hours 30 minutes

Step-by-step explanation:

Mike rides to School and back for 30 minutes. It means that he rides to school 15 minutes.

90min-15min = 75min (one way, walking)

2*75min = 150min = 2h 30min

Mike's will walk to school and back home 2h 30min

Answer:

97.31 [tex]m^2[/tex]

Step-by-step explanation:

The area of the octagon is:

[tex]\frac{8 * 5.3 * 2.65\sqrt{3} }{2}[/tex] ~97.31 m^2

Answer:

look at analysis

Step-by-step explanation:

11. 23.81

12.

part A

y is 12 and x is 4

part B

4

part C

5×12×4

240