5. 3(x - 1) = 23 – 5(x + 2)​

Answer:

x = 33 degrees

Step-by-step explanation:

To get the value of x, we use the appropriate trigonometric ratio

The side that faces the right angle is the hypotenuse and we have this measure as 25

The side that measures 21 is adjacent to the angle x

So we have to use the trigonometric ratio that connects the hypotenuse and the adjacent

The trigonometric ratio that does this is the cosine

so;

cosine is the ratio of the adjacent to the hypotenuse

So therefore;

cos x = 21/25

x = arc•cos (21/25)

x = 33 degrees

Answer:

(11, 13)

Step-by-step explanation:

First Equation: x+y=24

Second Equation: y=x+2

x + (x + 2) = 24

2x + 2 - 2 = 24 - 2

2x/2 = 22/2

x = 11

y = (11) + 2

y = 13

Therefore, the solution to the system is (11, 13)

Answer:

mean: 34/15=2.27

median: 2

range: highest-lowest...... 6-0=6

mid range: high + low divided by 2

6+0=6/2=3

Answer:

Mean: 2.27

Median: 2

Range: 6

Mid-range: 3

Step-by-step explanation:

The mean is adding the average of the data set; add up all numbers, then divide by how many numbers there are.

2 +3 + 1 + 6 + 1 + 1 + 1 + 0 + 2 + 4 + 5 + 1 + 2 + 2 + 3 = 34

There are 15 numbers in this data set.

34 ÷ 15 = 2.26666666667 ≈ 2.27 (nearest hundredth)

2.27 is the mean.

-------------------------------------------------------------------------------------------------------------The median is the middle number after putting the data set in numerical order.

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The median is 2.

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

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The range is the smallest number subtracted from the largest number.

6 - 0 = 6

6 is the range.

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

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The formula for mid-range is:

Maximum value + largest value ÷ 2.

The largest value is 6.

The minimum value is 0.

6 + 0 = 6

6 ÷ 2 = 3.

The mid-range is 3.

Answer:

18

Step-by-step explanatio:a 52 le quitas la diferencia de 16 y da 36 que lo divides entre 2 y es 18 por lo que 18+18=36+16=52

Step-by-step explanation:

[tex]here \: is \: your \: solution \\ \\ let \: the \: first \: number \: be \: x \\ \\ let \: the \: second \: number \: be \: y \\ \\ now \: according \: to \: question \\ \\ x + y = 52 \\ \\ and \: x - y = 16 \\ \\ now \: add \: both \: equation \\ \\ we \: will \: get \: \\ \\ 2x = 68 \\ \\ x = 68 \div 2 \\ \\ x = 34 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 34 + y = 52 \\ \\ y = 52 - 34 \\ \\ y = 18 \\ \\ x = 34 \: and \: y = 18 \\ \\ hope \: it \: helps[/tex]

Answer:

permutations of the letters of the word "PERMUTATION"

Step-by-step explanation:

The number of permutations of the letters of the word "PERMUTATION" cannot be solved using nPr. The correct answer is B.

The permutation is defined as considered an ordered combination.

The following formula computes the permutation of r items from n:

P(n, r) = n! /(n-r)!

here order matters and repetition is not allowed.

Therefore, nPr cannot be used to solve problems that involve repeating items or where order does not matter.

As per the question, the permutations of the letters of the word "OF", "THINGS", and "N" involve distinct letters and no repetition, so they can be solved using nPr.

However, the word "PERMUTATION" has repeated letters.

Therefore, the number of permutations of the letters of the word "PERMUTATION" cannot be solved using nPr because it does not account for repeated items.

Learn more about the permutations here:

https://brainly.com/question/1216161

#SPJ2

Answer:

pretty sure thats right!

Step-by-step explanation:

we just tested on this

Answer:

Area of the parallelogram = 107,555 square feet

Step-by-step explanation:

Let

h = height of the parallelogram

sin (112°) = h/200 feet

h = sin(112°) × 200

h = 0.927184 × 200

= 185.4368 feet

h = 185.44 feet

Area of the parallelogram = base × height

= 580 feet × 185.44 feet

= 107,555.2 square feet

To the nearest square root = 107,555 square feet

Area of the parallelogram = 107,555 square feet

Answer:

x = - 5

Step-by-step explanation:

The absolute value function always gives a positive result , then

| - 5 | = | 5 | = 5

Thus x = 5, x = - 5

Answer:

$172040

Step-by-step explanation:

187,000 (0.04) = $7480

23(7480) = $172040.

-----------------OR-----------------

187,000 x 0.04 x 23 = $172040

Answer:

No they will no have the same strength. So what I did was find a common number between them so between 8 and 6 they both can be multiplied to 24. So 6 goes into 24 4 times so I multiplied 3 times 6 and then 8 goes into 24 3 times so I multiplied 3 and 5 and so the final answer is that bart has more strong fertilizer

Step-by-step explanation:

6*4=24 4*3=12

8*3=24  5*3=15

Answer:

x ~0.9

Step-by-step explanation:

To solve for (x) in the given right triangle, use the trigonometric ratios, which are the following,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Each of the sides of a triangle is named with respect to the given angle. In this problem, one is given the side opposite to the given angle, and the side adjacent to it. Use the ratio of tangent (tan) to solve for the unknown side.

[tex]tan(83)=\frac{7}{x}[/tex]

Manipulate the equation so that it is solved for (x),

[tex]x=\frac{7}{tan(83)}[/tex]

x ~ 0.859

Answer:

100,000,000,000

Step-by-step explanation:

1 000 000 times 100 000 = 100,000,000,000

Answer:

B

Step-by-step explanation:

if you can see in the graph, the graph axes calculation is not the same with the one given.

Answer:

18 ft^2

Step-by-step explanation:

Answer:

341 cm²

Step-by-step explanation:

The base is 11 x 11 = 121

Then there is 4 side that are triangles, 11 x 10 ÷ 2 = 55 ----->  55 x 4 = 220

220 + 121 = 341

Answer:

a = 2.3

Step-by-step explanation:

[tex]2a = 4.6 \\ \frac{2a}{2} = \frac{4.6}{2} \\ a = 2.3[/tex]

Answer:

No

Step by step explanation:

a² + b² = c²

6² + 11² = 15²

36 + 121 = 225

157 =/= 225

Answer:

No

Step-by-step explanation:

15 would be the longest angle or, the angle directly across the right angle

To see if this is a right angle, you'd have to do 11²+6², if it was a right angle, the answer would be 15² which it isn't so, it's not a right angle

Answer:

5

Step-by-step explanation:

3x - 8 = 7

collect like terms

3x = 8 + 7

3x = 15

divide both sides of the equation by 3

x = 15/3 = 5

the area of a cross section parallel to the base is the base

the base is 4inches by 3 inches

area is 12 square inches

perimeter is 2(L+W)=2(4+3)=2(7)=14 inches

area is 12 square inches

perimeter is 14 inches

Answer:

-4 x 3/2

Step-by-step explanation:

It will end up being -6 which is less than -4.

Tell me if it is wrong.

Have a nice day!

Answer:

We can use the numbers -4 and [tex]\frac{3}{2}[/tex] to get a product less than -4.

-4 x  [tex]\frac{3}{2}[/tex]  = -6

So, the answer is less than -4.

Please give Brainliest!

Have a great day!

Answer:

[tex]\frac{a12}{b3}[/tex]

Step-by-step explanation:

Hope this is right and helps you!

Answer:

a^12/b^9

Step-by-step explanation:

You need to multiply the exponent -3 to every other exponent

So then you would end up with a^6b^-6/a^-6b^3

Now you need to flip the negative exponents to the other side which would be a^12/b^9

Answer:

Please read explanation

Step-by-step explanation:

A picture would be helpful, but I think the answer might be (6x4x3)+(3x4x4). If your shape is made up of many parts, you should find the volume of each shape then add them up to find the total volume. (To find volume, multiply base x height x width) If you could give a picture, it would be very helpful because I don't really know which numbers I should multiply to find volume. I hope this explanation helps, and please comment if you need to ask me anything.

Answer:

Answer is 136 cubic meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

Required equation:

Answer:

18 bacteria

Step-by-step explanation:

The formula for Exponential growth is given as:

y = a (1 + r)^t

a = Initial sample size = 5

y = Sample size after time t

r = Growth rate = 6% = 0.06

t = Time in hours = 22

Hence,

y = 5 (1 + 0.06)²²

y = 5 × 3.6035374165783565

y =18.017687083 bacteria

Approximately = 18 bacteria

Therefore, there would be 18 bacteria in the sample after 22 hours

Answer:

1. 142

2. 38

3. 142

5. 142

6. 38

7. 142

8. 38

Step-by-step explanation:

Angles across from another angle in an x have the same value

A line has an angle of 180º so the angle on the other side of a split line is whatever angle would make it add up to 180

180º - 38º = 142º

Answer:

53

Step-by-step explanation:

complementary angle meaning it needs to have the whole sum of 90 degree.

90-37=53