Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the length of B C is 24.
Given right triangle ABC, what is the value of tan(A)?

Answer:

Below in bold.

Step-by-step explanation:

a) The rectangle in the middle of the net is 10 cm long.

A = 8

B = 3

C = 6

D = 10

b) Surface area

=  3*6 + 3*10 + 3*8 + 2 * 1/2 + 8 * 6

= 18 + 30 + 24 + 48

= 120 cm^2

[tex]sa = bh + ( b_{1} + b_{2} + b_{3})l[/tex]

[tex]sa = 6(8) + (6 + 8 + 3) \times 10[/tex]

[tex]sa = 48 + (17)(10)[/tex]

[tex]sa = 48 + 170[/tex]

[tex]sa = 220 \: {cm}^{2} [/tex]

Answer:

Step-by-step explanation:

4a. yes: 5 = 3(2)-1    5 = 6 - 1      5 = 5

4b.  No: 1 = 3(4) + 1

      1 = 12 + 1

       1 ≠ 13

4c. No; 1 = 3 - 3

            1 ≠ 3

4d. yes; 7 = -3(5) + 22

              7 = -15 + 22

              7 = 7

4e. no; -8 = -2(-4)

             -8 ≠ 8

4f. no; 8 = -2 + 11

           8 ≠ 9

Answer:

267.95 cubic meters

Explanation:

volume of sphere: (4/3)π(radius)³

Here given:

Volume:

insert values

simplify

final answer

Answer:

V = 267.95

Step-by-step explanation:

The equation to find the volume of a sphere is:

V = [tex]\frac{4}{3} \pi r^{3}[/tex]

r = radius

In the diagram of the question it shows that the radius is 4 m. Plug this into the equation:

[tex]V=\frac{4}{3} (3.14) (4)^{3}[/tex]

Use a calculator to find the answer and then round to two decimal points:

V = 267.95

Hope this helps!!

Answer:

38.88

Step-by-step explanation:

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

Answer:

sin(t) = 4*sqrt(5) / 21; cos(-t) = 19/21

Step-by-step explanation:

think of a right triangle with an adjacent leg a, opposite leg b, and hypotenuse c.

cos(t) = a/c = 19/21. so we can assume a=19 and c=21.

using Pythagorean's theorem, find b: b = sqrt(21^2 - 19^2) = 4*sqrt(5) or 8.944

since tan(t)> 0, b/a > 0 and a is positive so b must be positive. using this information, we know sin(t) = b/c = 8.944/21 or 4* sqrt(5) / 21

since cos x is an even function, cos(-x) = cos x so cos(-t) = cos(t) = 19/21

Answer:

2/3

Step-by-step explanation:

The slope sits next to the x in the slope-intercept equation, y=mx+b. Slope is the m. In the equation in the problem y=2/3x-2.

The slope is 2/3.

Answer:

g(x) = f(x) - 4.

Step-by-step explanation:

4 down = -4

g(x) = f(x) - 4.

Step-by-step explanation:

13113x+1665
_____________________________
Rewrite 13113 as 9 .  1457

Rewrite 1665 as 9 .  185
= 9 .  1457x + 9 .  185
=9(1457x + 185)

Answer:

Step-by-step explanation:

2x + 4 + x + 23 = 180

3x + 27 = 180

3x = 153

x = 51

[tex]\text{First term,} ~a = 72\\\\\text{Common ratio,}~ r = \dfrac{-36}{72} =-\dfrac 12 \\\\\text{Sum of an infinite geometric series,}\\\\S_{\infty} = \dfrac a{1 - r}\\\\\\~~~~~= \dfrac{72}{1+ \dfrac 12}\\\\\\~~~~~=\dfrac{72 }{\tfrac 32}\\\\\\~~~~~=\dfrac{72 \times 2}3\\\\\\~~~~~=48[/tex]

Series: 72 - 36 + 18 - 9 +...

[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]

Identify the following

Solve:

[tex]\rightarrow \sf S \infty \ =(72-36) \ x \ \dfrac{1}{1-\frac{1}{4} }[/tex]

[tex]\rightarrow \sf S \infty \ =48[/tex]

This series has a sum of 48.

The volume of the rectangular prism given its base area and its height is 264 units³.

A rectangular prism is a three-dimensional object that has six faces, 12 sides and 6 vertices.

Volume = length x width x height

base area x height

44 x 6 = 264 units³

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Answer:

1) Answer is D

2) Answer is C

3) Answer is D

Step-by-step explanation:

Problem 1

Since we are given 12 numbers to choose from, there's a 2/12 chance of selecting a 2. Additionally, there's a 3/11 chance of selecting a number divisible by 4 AFTER selecting a 2. Thus, since the two events are independent, their probabilities are multiplied, so the probability of selecting a 2 and then a number divisible by 4 is (2/12)(3/11) = 6/132 = 1/22, so option D is correct.

Problem 2

There's a 4/12 chance of selecting an odd number and a 6/11 chance of selecting an even number AFTER selecting an odd number (remember that 0 is neither even nor odd). Multiplying the probabilities, the probability of drawing an odd number and then drawing an even number is (4/12)(6/11) = 24/132 = 2/11, so option C is correct.

Problem 3

There's a 2/12 chance of selecting a zero and a 1/11 chance of selecting a second zero. Thus, multiplying their probabilities, the probability of drawing 2 zeroes is (2/12)(1/11) = 2/132 = 1/66, so option D is correct.

Answer:

12 * Answer:
12 x 3 = 36 + 6 = 42,
Step-by-step explanation:

Step-by-step explanation:

The reason for which an athlete does not use technology to assess performance is To send to college recruiters.

Technology is the culmination of collected knowledge and the application of skills, methods, and procedures utilized in manufacturing and scientific research. Technology is incorporated into the functioning of all machinery, with or without a thorough understanding of its function, for an organization's stated purpose.

The reason for which an athlete does not use technology to assess performance is To send to college recruiters.

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Answer:

√3 is the answer

Step-by-step explanation:

the value of tan60 is √3

Answer:

a5 = 122

Explanation:

Given:

Solve:

a1 = 2

a2 = -3a1+2 = -3(2)+2 = -4

a3 = -3a2 + 2 = -3(-4)+2 = 14

a4 = -3a3 + 2 = -3(14) + 2 = -40

a5 = -3a4 + 2 = -3(-40) + 2 = 122

Answer:

a₅ = 122

Step-by-step explanation:

What is a₅ for the sequence defined by:

[tex]\left\{\begin{array}{ccc}a_1=2\\a_n=-3a_{n-1}+2\\\end{array}\right\\\\\\\hrule[/tex]

Letting n=2:

[tex]a_n=-3a_{n-1}+2\\\\\\\\\Longrightarrow a_2=-3a_{2-1}+2\\\\\\\\\Longrightarrow a_2=-3a_{1}+2\\\\\\\\\Longrightarrow a_2=-3(2)+2\\\\\\\\\therefore a_2=-4[/tex]

Letting n=3:

[tex]a_n=-3a_{n-1}+2\\\\\\\\\Longrightarrow a_3=-3a_{3-1}+2\\\\\\\\\Longrightarrow a_3=-3a_{2}+2\\\\\\\\\Longrightarrow a_3=-3(-4)+2\\\\\\\\\therefore a_3=14[/tex]

Letting n=4:

[tex]a_n=-3a_{n-1}+2\\\\\\\\\Longrightarrow a_4=-3a_{4-1}+2\\\\\\\\\Longrightarrow a_4=-3a_{3}+2\\\\\\\\\Longrightarrow a_4=-3(14)+2\\\\\\\\\therefore a_4=-40[/tex]

Letting n=5:

[tex]a_n=-3a_{n-1}+2\\\\\\\\\Longrightarrow a_5=-3a_{5-1}+2\\\\\\\\\Longrightarrow a_5=-3a_{4}+2\\\\\\\\\Longrightarrow a_5=-3(-40)+2\\\\\\\\\therefore \boxed{\boxed{a_5=122}}[/tex]

Answer:4/3

4/3

Step-by-step explanation:

put values

Do like you do algebraic addition

Option A

The data recorded by Ben shows the attendance log of his classmates over a given period of time.

This refers to a simple chart that resembles a histogram that is used to represent small data.

Hence, we can see that because Ben tracked the attendance of the class over a given time period with the frequency on a frequency table, a sample of a dot plot has been provided below,

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The initial value of the function is f(0) = 1 and the graph of the function has been attached.

We are given the function f(x) = (1/4)ˣ

1) Now, the initial value of the function is;

f(0) = (1/4)⁰ = 1

2) The initial value of the function which is the coordinate (0, 1) can be plotted on the attached graph and the point is where the graph crosses the y-axis.

3) f(1) = (1/4)¹ = 1/4

4) The points  (1, 1/4) and (-1, 4)

5) The horizontal asymptote will be a vertical line which will be the value of x when y = 0.

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Answer:

15

Step-by-step explanation:

- 360 degrees in a complete circle you divide it by 24

360/24=15

The advance tickets were 35 in number and the same day ticket will be 30 in number.

To find out the number of the tickets sold we will give some notations so the notations are as follows:-

A= Cost of advance tickets=$30

S= cost of same-day ticket-=15

[tex]N_A=[/tex] Number of the advance tickets

[tex]N_S=[/tex]Number of same-day tickets.

The equations made by the given data will be:-

[tex]30N_A+15N_S=1500\\\\\\N_A+N_S=65[/tex]

By solving the above equations:-

[tex]N_S=30\ \ \ \ \ \ N_A=35[/tex]

Hence the advance tickets were 35 in number and the same day ticket will be 30 in number.

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Answer:

559.01 i think that is rounded correctly

Step-by-step explanation:

so it did $615.99 - 9.25% = 559.010925

Hope This Is Good And Helped Sorry If i Did It Worng

see the attachment...

hope it helps...!!!

Answer:

There are two solutions.

[tex]x_1 = -0.5\\x_2 = -2[/tex]

Step-by-step explanation:

Step 1

Use the formula of ax^2 + bx + c = 0 to find the coefficients.

[tex]a = 2\\b = 5\\c = 2[/tex]

Step 2

[tex]x=\frac{ (-b+/-sqrt(b^2-4ac))}{(2a)}\\x=\frac{ (-5 +/- sqrt(5^2-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-8*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(9))}{(2*2)}[/tex]

[tex]x = \frac{-5 +/- \sqrt{9} }{4}[/tex]

Step 3

[tex]9 = 3^2\\\sqrt{9} = \sqrt{3*3}\\\sqrt{3*3} = \sqrt{3^2}\\\sqrt{3^2} = 3[/tex]

Step 4

[tex]x_1=\frac{(-5+3)}{4} -- > x_2=\frac{(-5-3)}{4}\\x_1=\frac{(-5+3)}{4}\\x_1=\frac{-2}{4}\\x_1=-0,5[/tex]

[tex]x_2=\frac{(-5-3)}{4}\\x_2=\frac{(-8)}{4}[/tex]

[tex]x_2=-2[/tex]

Hope this helps.

Answer:

26.88

Step-by-step explanation:

20%*22.40=4.48

22.40+4.48=26.88

Answer:

The answer would be B

Step-by-step explanation:

Answer:

9000 grams

Step-by-step explanation:

1 kg = 1000 g

1 * 9 kg = 1000 * 9 g

9 kg = 9000 g

According to the information provided, it can be inferred that the conclusion reached by Alex is that there are no advantages to honor roll students.

To calculate the percentages of students who received the requested classes, we must take into account the data in the table. Additionally, we must perform the following operations:

144 ÷ 100 = 1.44

64 ÷ 1.44 = 44.44%

According to the above, the percentage of students who are on the honor roll and receive their classes is 44.44%.

To calculate the percentage of students who are not on the honor roll and receive their classes, we do the following operation.

356 ÷ 100 = 3.56

315 ÷ 3.56 = 88.48%

According to the above, it can be inferred that the students who are on the honor roll do not have advantages over the others because the percentage of students who are not on the honor roll and receive their science classes is greater than the percentage of students who are on the honor roll and receive their classes.

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The probability distribution for x will be given below.

x              0              1              2              3

P(x)        0.20       0.30        0.40        0.10

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

In a particular region, for families with a combined income of $80,000 or more, 20% have no children, 30% have one child, 40% have two children, and 10% have three children.

Let x be the number of children per family.

We have to construct a probability distribution for x from the given information.

x = 0, 1, 2, 3

For x = 0, the probability will be

P(x) = 20 / 100 = 0.20

For x = 1, the probability will be

P(x) = 30 / 100 = 0.30

For x = 2, the probability will be

P(x) = 40 / 100 = 0.40

For x = 2, the probability will be

P(x) = 10 / 100 = 0.10

Then the probability distribution for x will be given as

x              0              1              2              3

P(x)        0.20       0.30        0.40        0.10

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