if it's 2:30 PM what time is it gonna be in 45 minutes

let : y = Opponent side, x= Adjecent side

and r= hypotenuse

tan = 4/5

y/x = 4/5 => y =4, x=5

so, r = √4²+5²=√16+25=√41

sin = y/r = 4/ √41

cos = x/r = 5/√41

tan = y/x = 4/5

csc = r/y = √41 /4

sec = r/x = √41 /5

cot = x/y = 5/4

Answer:

3.3 units²

Step-by-step explanation:

Hi there!

[tex]\frac{Angle(sector)}{360} = \frac{Area (sector)}{Area (circle)}[/tex]

Angle of the sector: 15 degrees

Area of the sector: solving for

Area of the circle: ?

1) Determine the area of the circle

[tex]A=\pi r^2[/tex] where r is the radius

Plug in the radius (5)

[tex]A=\pi (5)^2\\A=25\pi[/tex]

Therefore, the area of the circle is 25π units².

2) Plug all information into sector formula

[tex]\frac{Angle(sector)}{360} = \frac{Area (sector)}{Area (circle)}\\\frac{15}{360} = \frac{Area (sector)}{25\pi }[/tex]

Multiply both sides by 25π

[tex]\frac{15}{360} *25\pi = Area(sector)\\\frac{15}{360} *25\pi = Area(sector)\\3.3=Area(sector)[/tex]

Therefore, the area of the sector is approximately 3.3 units².

I hope this helps!

9514 1404 393

Answer:

  a) (x < -3) ∪ (-1 < x)

  b) all real numbers

  c) x ≤ 1

  d) no solution

Step-by-step explanation:

An absolute value inequality of the form |f(x)| ? a resolves to two inequalities:

  ±f(x) ? a

where ? is some comparison symbol.

__

a) |x +2| > 1

resolves to the inequalities ...

  x + 2 > 1   ⇒   x > -1

and the other inequality this resolves to is ...

  -(x +2) > 1

  -x -2 > 1

  -x > 3

  x < -3

Then the solution is the union of the disjoint solution spaces:

  (x < -3) ∪ (-1 < x)

__

b) |2(x -1)| ≥ 0

  2(x -1) ≥ 0   ⇒   x ≥ 1

and the other inequality this resolves to is ...

  -2(x -1) ≥ 0

  x -1 ≤ 0 . . . . . divide by -2

  x ≤ 1

The union of these solutions is ...

  x ∈ all real numbers

__

c) 9x -4 ≤ 6 -x

  10x ≤ 10 . . . . . . add x+4 to both sides

  x ≤ 1 . . . . . . . . . divide by 10

__

d) No solution. (An absolute value cannot be negative.)

__

The attachment shows the solutions plotted against a number line.

_____

Additional comment

When the inequality is of the form ...

  |f(x)| < a

it can be written as the compound inequality ...

  -a < f(x) < a

If the comparison is > instead of <, using the same "expansion" results in an inconsistency:

  -a > f(x) > a . . . . . . never true for a > 0

If you ignore that technicality (which your teacher may not understand), you can do the solution in the same way you would for the other inequality symbol(s). Just remember the result should be the union of the two disjoint solution spaces.

Using (a) as an example:

  -1 > x+2 > 1 . . . . . to solve this, we subtract 2 everywhere

 -3 > x > -1   ⇒   the solution is (-3>x) ∪ (x>-1)

Answer:

-3

Step-by-step explanation:

x=√64=8

y=√121=11

x-y=8-11= -3

Answer:

35492421.7263

Step-by-step explanation:

Answer:

hope it helps

Answer:

Eastbound ship is 15 miles from port. Southbound ship is 8 miles from port.

Step-by-step explanation:

Answer:

Eastbound ship is 15 miles

Southbound ship is 8 miles

i think

Answer:

The probability that the second number is odd is 50%.

Step-by-step explanation:

Given that Malik randomly picked two different numbers from 1 to 9, and the first one was odd, to determine what is the probability that Malik picked a second odd number given that the first number was odd, the following calculation must be performed:

Odd numbers = 1 - 3 - 5 - 7 - 9 = 5 odd numbers

Even numbers = 2 - 4 - 6 - 8 = 4 even numbers

4/8 = 0.5 x 100 = 50%

Therefore, if from 1 to 9 an odd number was obtained, 8 numbers remain, of which 4 are odd. Therefore, the probability that the second number is odd is 50%.

Answer:

The answer for plato is 2/9

Step-by-step explanation:

What is the probability that the sum of the two numbers Malik picks is less than 5, given that the first number is odd and less than 5?

Answer:

c

Step-by-step explanation:

Answer:

(f  ° g)(x) = 20x + 7

Step-by-step explanation:

(f  ° g)(x) = f(g(x)) = 5(4x - 1) + 12 = 20x - 5 + 12 = 20x + 7

Answer:

Hello! answers:

Question 13: 12

Question 14: 18

Question 15: 15

Hope that helps!

For question 13 I found the answer by doing 6 ÷ 2 and 6 ÷ 2 = 3 so I know that 4 will be enlarged by 3 so 4 × 3 = 12 so 12 is the answer for 13

For question 14 I found the answer by using 1 of the sides so I did 24 ÷ 16 and 24 ÷ 16 = 1.5 and 1.5 × 12 = 18 so the answer is 18

For question 15 I did the same thing!

25 ÷ 20 = 1.25 and 1.25 × 12 = 15 so 15 is the answer Hope that helps!

Answer:

The chart shows a growth of 22-24 miles per gallon.

Step-by-step explanation:

Answer:

9.225 < x [tex]\leq[/tex] 9.235

Step-by-step explanation:

Answer:

pretty sure it is D

Step-by-step explanation:

since 50-44=6 and you divide that by 2 giving you 3

Answer:

37.5%

Step-by-step explanation:

one day has 24 hours

100%->24

1%->0.24

9÷0.24 = 37.5%

Answer:

37.5%

Step-by-step explanation:

Hours he spent = 9

Total hours= 24

Percenag = 9/ 24 x 100 = 37.5%

I hope im right1

Answer:

A. 55

Step-by-step explanation:

its a right angle and triangles are equal to 180 so 180 - (95 + 35) = 55

Hope this helps! Please tell me any questions or concerns in the comments! Byeee <3

Answer: 30.8%

Step-by-step explanation:

Given

Total students receiving financial aid are 6101

Students who are graduate and receiving financial aid are 1879

Probability is the ratio of the favorable and total outcomes

So, the probability is  given by

[tex]P=\dfrac{1879}{6101}\\\\P=0.307\ \text{or}\ 30.8\%[/tex]

Answer:

31%

Step-by-step explanation:

The same directions as the answer above, but make sure to round up 30.8% to 31%!

I have acellus too and I've already checked the answer, it's correct. I hope this helps!

Answer:

58

Step-by-step explanation:

It is going to be 58 because that is the more "random" number. It is does not fit with the rest of your numbers.

Answer:

the outlier is 58. it skews the data

Step-by-step explanation:

Answer:

4-pack is better

Step-by-step explanation:

2.04÷4=0.51p each

4.68÷9=0.52p each

Answer:

-4

-4 and so on

Answer:

5.291502622

Step-by-step explanation:

If you put 28 into a calculator and put it under a square root (√28) the answer is 5.291501622, or 5.3. If you want to check it, square the 5.3 and 28 should be the answer

Answer: -4

Step-by-step explanation:

1. -4(m+6) = -8 (Simplify)

2. -4m -24 = -8 (Add 24 to -8)

3. -4m = 16 (Divide -4 by both sides to isolate m)

4. m = -4

HOPE THIS HELPED YOU!

Answer:

D. 4,   B. 4,   C. 8

Step-by-step explanation:

The data are centered around 4; the plot is pretty evenly spread out around the center, 4 miles.  (The actual average is 3.88.)

The most number of miles run (look for tallest column of dots) is 4.

The number of people who ran is 8 (count the dots above the 5-mile label).

Answer:

Your right the answer is B a=60 , b=120

A ratio of 1:2 just means one value is twice that of the other.

Answer:

B (a=60, b=120)

Step-by-step explanation:

1. m∠AOB = 180°

2. Since the ratio of a to b is 1:2, set the measure of a as x, and the measure of b as 2x.

3. a+b = 180, so x+2x = 180, 3x = 180, x = 60

4. x = a, so if x=60, then a = 60

5. if b=2x, then b = 2a, which is 2*60 = 120

Hope this helps

Answer: 1/8

Step-by-step explanation:

1) A  B  C  D  E  F  G  H -> The probability of spinning a vowel is 2/8.

2) 1 2  3  4  5  6 -> The probability of rolling an even number on a standard dice is 3/6.

3. To find the probability of spinning a vowel and rolling an even number on a standard dice, we just have to multiply both of the probabilities:

2/8 * 3/6 = 6/48.

4. Simplify 6/48 and you get -> 1/8.

HOPE THIS HELPED YOU!

First lets find out how much sugar was needed

1/4=1/4=2/4

2/4+1/6=6/12+2/12=8/12

8/12 simplified=2/3

2/3 of the sugar is needed

3/4-2/3=9/12-8/12=1/12

1/12 of the sugar was left

Answer:

Step-by-step explanation: