Name at least 5 angles for this diagram

Congruent Angles
Vertical Angles
Adjacent Angles
Complementary Angles
Supplementary Angles

Answer:

18

Step-by-step explanation:

Answer:

x=26.44

rounded to the nearest hundredth.

Step-by-step explanation:

Soh Cah Toa

We need opposite for x and adjacent for 44

Length × Tan (Angle)

44 × Tan (31)=26.43786724

Answer:

31 and 174

Step-by-step explanation:

Answer:

D.$93.04

$25+$22.38+$6.95+$38.71 = $93.04

Answer:

E

Step-by-step explanation:

9514 1404 393

Answer:

  A, C, B

Step-by-step explanation:

It is helpful to remember the trig identities ...

  sin = 1/csc

  cos = 1/sec

  tan = 1/cot

__

1. sin(θ)cos(θ)sec(θ)csc(θ) = (sin(θ)csc(θ))(cos(θ)sec(θ)) = (1)(1) = 1 . . . matches A

2. 1/cot²(θ)·sec(θ)cos(θ) = 1/(1/tan²(θ))·(1) = tan²(θ) . . . matches C

3. tan(θ)/cot(θ) = tan(θ)/(1/tan(θ)) = tan²(θ) . . . matches B

Answer:

1.sin Θ cos Θ sec Θ csc Θ

sinocoso×1/coso ×1/sino=1

1. is the required answer

2.1/(cot^2Θ) * sec Θ cos Θ

=sin²o/cos²o×1/coso×coso

=sin²o/cos²o

tan²o is answer

3.tan Θ/ cot Θ

sino/coso/(coso/sino)

sin²o/cos²o

tan²ois answer here o = theta

Answer:

50mb

Step-by-step explanation:

So start with what you have 300/150 = 2 so each song took up 2mb of space, so 25 songs would take up 25x2= 50mb

The number of megabytes taken up by 25 songs is 50 megabytes.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

150 songs = 300 megabytes

1 song = 300 /150 megabytes

1 song = 2 megabytes ______(1)

Now,

Multiply 25 on both sides of (1).

25 songs = 25 x 2 megabytes

25 songs = 50 megabytes

Thus,

25 songs will take 50 megabytes.

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Answer:

Step-⚫️_by-step explanation:

Step-by-step explanation:

The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.

Answer:

480

Step-by-step explanation:

The formula is L*W*H

6*8*10=480

Answer:

7 : 30

Step-by-step explanation:

7/36 : 5/6

42 : 180

7 : 30

Answer:

1

Step-by-step explanation:

whenever there is a varible alone the coefficient is 1

Answer:

D. Point

Step-by-step explanation:

The wall would be like a plane.

You're looking at the wall, and the pinhole is a dot, and the dot is a point.

Answer:

a) 0.3087 = 30.87% probability that exactly two iPhones will end up being serviced under warranty.

b) 0.4718 = 47.18% probability that at least two iPhones will end up being serviced under warranty

c) The expected number of iPhones in the family that require service is 1.5.

d) The standard deviation of the number of iPhones in the family that requires service is 1.0247.

Step-by-step explanation:

For each iPhone, there are only two possible outcomes. Either they have battery issues under warranty, or they do not. iPhones are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Thirty percent of such iPhones will need battery service while under warranty.

This means that [tex]p = 0.3[/tex]

A family owns 5 iPhones produced within the time frame of potential faulty production.

This means that [tex]n = 5[/tex]

(a) What is the probability that exactly two iPhones will end up being serviced under warranty?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{3} = 0.3087[/tex]

0.3087 = 30.87% probability that exactly two iPhones will end up being serviced under warranty.

(b) What is the probability that at least two iPhones will end up being serviced under warranty?

This is:

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{3} = 0.3087[/tex]

[tex]P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{2} = 0.1323[/tex]

[tex]P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{1} = 0.0284[/tex]

[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{0} = 0.0024[/tex]

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.3087 + 0.1323 + 0.0284 + 0.0024 = 0.4718[/tex]

0.4718 = 47.18% probability that at least two iPhones will end up being serviced under warranty.

(c) What is the expected number of iPhones in the family that require service?

[tex]E(X) = np = 5*0.3 = 1.5[/tex]

The expected number of iPhones in the family that require service is 1.5.

(d) What is the standard deviation of the number of iPhones in the family that requires service?

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5*0.3*0.7} = 1.0247[/tex]

The standard deviation of the number of iPhones in the family that requires service is 1.0247.

Answer:

5/6=10/12 10/12=5/6 3/12=1/4 3/4=9/12

Answer:

Adjacent Angles

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex and a common side but do not overlap. They share the same vertex and the same common side.

Answer:

Step-by-step explanation:

radius = distance between (2,3) and (5,3) = √[(5-2)² + (3-3)²]  = 3

The required radius of the circle is

center is (2,3)
point on the circle is (5,3).

Radius of the circle is the distance between the center to the circumference.

Radius = [tex]\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]
=[tex]\sqrt{(5-3)^2-(3-3)^2}[/tex]

Radius = [tex]\sqrt{4}[/tex]
Radius = 2

Thus, the required radius is 2 .

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Answer:

30

Step-by-step explanation:

21*10=210

210/7=30

x=30

Answer:

30..

Explanation

Answer:

The answer would be C. 5

Step-by-step explanation:

Answer:

8792mi^2

Step-by-step explanation:

basic area calculations width times length

Answer:

The formula for slope is sometimes referred to as "rise over run", because the fraction onsists of the "rise" (being the change in y, going up or down) divided by the "run" (being the change in x, going from left to the right).

Step-by-step explanation:

Answer:

Good sir/madam, in a fraction, it is always rise over run.

Answer:

Budgins.

Step-by-step explanation:

Waitroze is selling the cans of soup for 1.27 more than Budgins. So, therefore, Budgins has a WAY better deal than Waitroze.

Answer:

Eliminating the parameter, the equation is [tex]y = x - 2[/tex]

Step-by-step explanation:

We are given the following parametric equations:

[tex]x = t^2 + 1[/tex]

[tex]y = t^2 - 1[/tex]

We want to eliminate the parameter t. From the first equation:

[tex]x = t^2 + 1[/tex]

[tex]t^2 = x - 1[/tex]

Replacing in the second equation:

[tex]y = x - 1 - 1[/tex]

[tex]y = x - 2[/tex]

Eliminating the parameter, the equation is [tex]y = x - 2[/tex]

Answer:

y=-3/2x+5.5

Step-by-step explanation:

Subtract 3x from both sides. You are left with 2y=-3x+11. To isolate the y by itself, divide by 2 on both sides. you are left with y=-3/2x+5.5

Answer:

A = 708 mm^2

Step-by-step explanation:

[tex]A=\frac{a+b}{2} h\\\\A=\frac{19+40}{2} *24\\\\A=\frac{59}{2} *24\\\\A= 708[/tex]

Answer:

-11, and -9 is the range for 1/2 and 0 respectively

Step-by-step explanation:

Answer:

1. 45 dollars per year.

2. 49.73 dollars per year.

3. 56.6 dollars per year.

4. Increases

Step-by-step explanation:

Average rate of change

The average rate of change of a function [tex]f(x)[/tex] over an interval [a,b] is given by:

[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]

In this question, we have that:

[tex]A(t) = 900(1.05)^t[/tex]

1. What is the average rate of change for the first year?

[tex]A(0) = 900(1.05)^0 = 900[/tex]

[tex]A(1) = 900(1.05)^1 = 945[/tex]

So

[tex]A = \frac{A(1)-A(0)}{1-0} = \frac{945-900}{1-0} = 45[/tex]

45 dollars per year.

2. What is the average rate of change for the first five years?

[tex]A(0) = 900(1.05)^0 = 900[/tex]

[tex]A(5) = 900(1.05)^5 = 1148.65[/tex]

[tex]A = \frac{A(5)-A(0)}{5-0} = \frac{1148.65-900}{5-0} = 49.73[/tex]

49.73 dollars per year.

3. What is the average rate of change for the first ten years?

[tex]A(0) = 900(1.05)^0 = 900[/tex]

[tex]A(10) = 900(1.05)^{10} = 1466[/tex]

[tex]A = \frac{A(10)-A(0)}{10-0} = \frac{1466-900}{10-0} = 56.6[/tex]

56.6 dollars per year.

4. Does the average rate of change increase or decrease as time from the initial deposit gets longer?

From the previous items, it increases.