Which ordered pair makes both inequalities true? y x On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded. (–3, 5) (–2, 2) (–1, –3) (0, –1)

Answer:

The length of a is equal to 14.9.

The angle measure of b is equal to 71°.

The length of c is equal to 25.5.

General Formulas and Concepts:
Pre-Calculus

Law of Sines:
[tex]\displaystyle \bold{ \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} }[/tex]

Step-by-step explanation:

Step 1: Define

Identify given from triangle.

Length corresponding with x°: 14.9

Other given angle: 71°

Length corresponding with 71°: 25.5

Step 2: Find Values

∴ we have completed the expression using Law of Sines.

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Topic: Precalculus

Unit: Trigonometry

Answer:

343 cubic inches

Step-by-step explanation:

7 times 7 times 7 is 343

Answer:

(0,8)

Step-by-step explanation:

(2,5) to (0,8)

(2-2,5+3) --> (0,8)

Answer:

18 miles= how many feet

____95,040_____feet

Step-by-step explanation:

happy to help ya:)

Answer:

The length of AC is 2.33 units.

Step-by-step explanation:

You have to use Tangent Rule, tanθ = opposite/adjacent :

[tex] \tan(θ) = \frac{oppo.}{adj.} [/tex]

Let oppo. = AC,

Let adj. = BC = 5,

Let θ = 25°,

[tex] \tan(25) = \frac{ac}{5} [/tex]

[tex]ac = 5 \tan(25) [/tex]

[tex]ac = 2.33 \: units \: (near.hundredth)[/tex]

Step-by-step explanation:

The first term is 6x3

Because he subtracted like terms 8x3 and 2x3

Answer:

6x³

Step-by-step explanation:

2x²y + 8x³ – xy² – 2x³ + 3xy² + 6y³=

6x³+2x²y+2xy²+6y³

Answer: Interest will be 3%

Step-by-step explanation:

4.5x = x * r * 13.5

4.5x = 13.5x*r

r = 13.5x/4.5x = 3%

Answer:

Interest will be 3%

Step-by-step explanation:

4.5x = x * r * 13.5

4.5x = 13.5x*r

r = 13.5x/4.5x = 3%

Thank you!

Answer:

2184 ways

Step-by-step explanation:

We need to choose exactly one song from each CD, so the number of possible ways to choose a song from a CD is the number of songs in that CD.

The first song is from a CD with 12 songs, so there are 12 possibilities of choosing a song.

The second song is from a CD with 14 songs, so there are 14 possibilities of choosing a song.

The third song is from a CD with 13 songs, so there are 13 possibilities of choosing a song.

Now, to find the number of possible ways to play these songs, we just need to multiply the number of possibilities for each song:

Number of possible ways = 12 * 14 * 13 = 2184 ways

Answer:

1.2 x 10^-1 or 12x10^-2

Answer: Systematic Sampling

Step-by-step explanation: In the systematic sampling every nth person is taken from a population.

The teacher used sampling method that is the Systematic Sampling, The correct answer would be option (D) Systematic Sampling.

Sampling is defined as to draw valid conclusions from your results, you have to carefully decide how you will select a sample that is representative of the group as a whole.

The Systematic Sampling is defined as the Simple random sample and systematic sampling are comparable, but systematic sampling is generally a little simpler to carry out. Every person in the population is assigned a number, but instead of assigning numbers at random, people are picked at specified intervals.

For example, The company's workers are all listed in alphabetical order. If choose number 6 as your starting point at random from the first 10 digits. Every tenth individual on the list is chosen starting at number 6 (6, 16, 26, 36, and so on), creating a sample of 100 persons.

According to question,

Teacher is surveying her classes to see how she feels about an activity the class did the day before. Since she has such large classes, she surveys the first 10 students that walk into class.

In given problem having that every student in the population is assigned a number, but instead of assigning numbers at random, students are picked at specified intervals.

Hence, the teacher used sampling method that is the Systematic Sampling.

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Answer:

4.2 gallons

67.2 cups

Step-by-step explanation:

He had 3 gallons of punch.

He added another 1.2 gallons.

The number of gallons of punch he has now is:

3 + 1.2 = 4.2 gallons

1 gallon = 16 cups

=> 4.2 gallons = 4.2 * 16 = 67.2 cups

He has 67.2 cups

If we borrowed $500 for 6 years at a rate of 7% interest then we will have to pay approximately $750 after 6 years.

Given that principal amount is $500 , years are 6 and rate of interest be 7%.

We are required to find the amount that we have to pay after 6 years if we borrow $500.

Compound interest is the interest that is calculated on the principal plus the accumulated interest at that point of time.

Sum after compounding is given as under:

S=P[tex](1+R)^{N}[/tex]

So we have to just put the values to find the money that we have to pay after 6 years.

S=500[tex](1+0.07)^{6}[/tex]

=500[tex](1.07)^{6}[/tex]

=500*1.5

=$750

Hence if we borrowed $500 for 6 years at a rate of 7% interest then we will have to pay approximately $750 after 6 years.

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Answer: 0.2

Step-by-step explanation:

The first hundred natural numbers are 1 to 100.

Now, the numbers that are multiples of 5 are the numbers that end in 5 or 0, so we have:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

So in the range, we have 20 multiples of 5.

Now, when we select at random, each number has the same probability of being selected, then the probability of randomly selecting a multiple of 5 is equal to the number of multiples of 5 divided the total number of options in the set.

we have 20 multiples of 5, and in the set we have a total of 100 numbers, then the probability is:

P = 20/100 = 0.2

Answer:

It's a Binomial

Step-by-step explanation:

Answer:

5/9 is greater

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Answer:

A. The daily records of the distance of each hotel from home during a cross country trip.

Step-by-step explanation:

A discreet graph is one that is composed of unconnected, "scattered" points. The best option is A because B,C and D would all be graphed to show the increase or decrease in values, (function) while the distances of the hotels are not something that you would have to measure!

Answer:

A

Step-by-step explanation:

Because I have big brain and also y’all know what edge is I got it correct

Answer:

C

Step-by-step explanation:

like I said, find the square area and subtract the triangles.

28 x 28= 784

Find the dimensions of the triangles. Since the surrounding shape is a square, the legs should be equal in length.

28-11.6=16.4

16.4/2=8.2

8.2 is the leg's length.

8.2*8.2*1/2*4=134.48

Subtract it to the square's area. 784-134.48= 649.52

Now round!

You get C

Answer:

see below

Step-by-step explanation:

(x + 1.5)² - 2.25 - 28 = 0

(x + 1.5)² - 30.25 = 0

(x + 1.5)² = 30.25

Answer:

-128 it’s on the table

Step-by-step explanation:

HEY!HERE IS UR ANSWER:

So as x=-12

Well then y=-200-6(-12)

y=-200+72 {Positive 72 cause negative 6 * negative 12 equals positive 72}

y=-128

HOPE IT MAKES UR DAY BETTER!!

Answer:

P=32m

A=48 m^2

Step-by-step explanation:

if two shorter sides are 4m each and the two longer sides are 12 m

4+4+12+12 to find the total P

Area, time the LENGTH by WIDTH to find the squared meters in the rectangle .

4x12 = AREA

Answer:

12.73

Step-by-step explanation:

The diagonal of the square forms the shape of a right angle with two adjacent sides of the square.

The diagonal is the hypotenuse.

Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides of the triangle:

[tex]d^2 = a^2 + b^2[/tex]

where d = hypotenuse = diagonal.

Since the other two sides are equal, then:

[tex]d^2 = a^2 + a^2\\\\d^2 = 2a^2[/tex]

The length of the side of the square is 9:

[tex]d^2 = 2 * 9^2 \\\\d^2 = 2 * 81\\\\d^2 = 162\\\\d = \sqrt{162}\\ \\d = 12.73[/tex]

The length of the diagonal is 12.73

Answer:

12.73

Step-by-step explanation:

Answer:

1134cm³

Step-by-step explanation:

rolled along the length means the length becomes the height of the cylinder.

length of rectangle = height of cylinder= 44 cm

breadth of rectangle = circumference of top and bottom circles = 18 cm

to find radius = 2πr = 18

2 * 22/7 *r = 18

22/7r = 18/2

22/7r = 9

r = 9*7/22

r= 63/22

Volume of cylinder formula = πr²h

= 22/7 * 63/22 * 63/22 *44

= 63 * 18

= 1134 cm³

(We cannot take it as a hollow cylinder because a rectangular sheet can only have one radius)

Hope this helps you!

Answer:

it might come from 9/n = 10/m

Answer:

9/m=10/n

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

LJK is a special right triangle with angle measures of 90° 60° 30°

If the side length of hypotenuse is 8√2 the side length that sees 30° would be half of it so it's 4√2

LMJ is a special right triangle with angles 90° 45° 45° and if the side length of hypotenuse is 4√2 the the value of equal sides would be 4

Answer:

The answer is A, parallel.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

took the test

Answer:

7 ducks equals 7 pigs.

Step-by-step explanation:

English Translation

On a farm it is observed that for 12 ducks there are 5 chickens, for three chickens there are 8 turkeys, for 10 turkeys there are 9 pigs. How many ducks equals 7 pigs?

Solution

For 12 ducks, there are 5 chickens

12 ducks = 5 chickens

For 3 chickens, there are 8 turkeys

3 chickens = 8 turkeys

For 10 turkeys, there are 9 pigs

10 turkeys = 9 pigs

We first need to create a direct relationship between ducks and pigs to know how many ducks are equivalent to 7 pigs.

9 pigs = 10 turkeys

8 turkeys = 3 chickens

10 turkeys = (10×3/8) chickens = 3.75 chickens

Hence, 9 pigs = 10 turkeys = 3.75 chickens

9 pigs = 3.75 chickens.

12 ducks = 5 chickens

5 chickens = 12 ducks

3.75 chickens = (3.75×12/5) ducks = 9 ducks.

9 pigs = 3.75 chickens = 9 ducks

9 pigs = 9 ducks.

Hence, 7 pigs = 7 ducks too.

Hope this Helps!!!

Answer:

Step-by-step explanation:

Given the equation cos(22f − 1) = sin(7f + 4), the following steps must be followed in order to get the value of f;

From the trigonometry identity, sin(90-theta) = cos theta.

cos(22f-1) = sin (90-(22f-1))

cos(22f-1) = sin (90-22f+1)

cos(22f-1) = sin (91-22f)... 3

substituting eqn 3 into the original equation given, we will have;

sin (91-22f) = sin(7f + 4)

91-22f = 7f+4

7f+22f = 91-4

29f = 87

f = 87/29

f = 3

A correct option is an option (a)

Given function is,

[tex]cos(22f-1) = sin(7f + 4)[/tex]

As we know the relation,

[tex]cosx=sin(90-x)[/tex]

Now, apply the above relates to the given function.

[tex]cos(22f − 1) = sin(7f + 4)\\sin(90-(22f-1))=sin(7f + 4)\\90-22f+1=7f+4\\-22f-7f=4-91\\-29f=-87\\f=3[/tex]

So, the required value is [tex]f=3[/tex]

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