In 2004 Colin had a salary of $7200

This was an increase of 20% on his salary in 2002. Calculate his salary in 2002.

Answer:

A) 21 in²

B) 42 in²

C) 84 in²

D) I) 4 in²

II) 8 in²

III) 16 in²

E) From our calculations, we can see that doubling one part of the dimensions gives an area that is twice the original one while doubling both dimensions gives an area that four times the original one.

Step-by-step explanation:

We are given dimensions of triangle as;

width; w = 3 inches

length; L = 7 inches

A) Area of triangle is;

A = Lw

A = 7 × 3

A = 21 in²

B) If we double the width, then area is;

A = 7 × (2 × 3)

A = 42 in²

Area is twice the original area

C) If we double the width and length, then we have;

Length = 7 × 2 = 14 in

Width = 3 × 2 = 6 in

Area = 14 × 6 = 84 in²

Area is four times the original one

D) Let's try a triangle with base 2 in and height 4 in.

I) formula for area of triangle is;

A = ½ × base × height

A = ½ × 2 × 4

A = 4 in²

II) If we double the width(base) , then area is;

A = ½ × 2 × 2 × 4

A = 8 in²

This is twice the original area.

III) If we double the width(base) and length(height), then we have;

A = ½ × 2 × 2 × 4 × 2

A = 16 in²

This is four times the original area

E) From our calculations, we can see that doubling one part of the dimensions gives an area that is twice the original one while doubling both dimensions gives an area that four times the original one.

Answer:

54x^2 + 10x

Step-by-step explanation:

Answer:

12 and 16.

Step-by-step explanation:

Let both positive numbers be x and y.

3/4 = x/y....... equation 1

x² + y² = 400..... equation 2

From equation 1

3/4 = x/y

Cross multiply

3y = 4x

Divide both sides by 3

y = 4x/3

Substitute y = 4x/3 into equation 2

x² + y² = 400

x² + (4x/3)² = 400

x² + 16x²/9 = 400

Multiply through by 9

9x² + 16x² = 3600

25x² = 3600

Divide both sides by 25

x² = 3600/25

x² = 144

Take the square root of both sides

x = √144

x = 12

Substitute x = 12 into equation 1

3/4 = x/y

3/4 = 12/y

Cross multiply

3y = 12 x 4

3y = 48

Divide both sides by 3

y = 48/3

y = 16

The Iength οf the diagοnaI οf the square exteriοr waII shοuId be 15 feet.

Accοrding tο the Pythagοrean theοrem, the square οf a right triangIe's hypοtenuse (the side οppοsite the right angIe) equaIs the sum οf its οther twο sides' squares.

Outside waII's Iength and width are equaI if it is a square. Let's caII this Iength "x"

Using the Pythagοrean theοrem, we can find the Iength οf the diagοnaI οf the square:

diagοnaI² = height² + width²

Since the height is 9 ft and οne side οf the square is 12 ft, we can write:

diagοnaI² = 9² + 12²

diagοnaI² = 81 + 144

diagοnaI² = 225

Taking the square rοοt οf bοth sides, we get:

diagοnaI = √(225)

diagοnaI = 15 ft

Therefοre, the Iength οf the diagοnaI οf the square exteriοr waII shοuId be 15 feet.

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Answer:

7/y=3x

(3x)y=7

y=7/3x

Answer:

11.4

Step-by-step explanation:

divide 57 by 5.

hope it helped

Answer:

11.4

Step-by-step explanation:

57/5 could also be written as a mixed fraction

\(11\frac{2}{5}\)

Since 2/5 = 0.4 you can add 11 + 0.4 to give you 11.4

Hope this helps!

Answer:

B: 2029

Step-by-step explanation:

Interest Formula

\(A=P(1+r)^n\)

A= amount

P= initial amount

r= rate/percentage

n= years

All we have to do is plug in the numbers from the word problem to get:

\(20,612(0.018+1)^{n} =25,000\)

From here we solve for n:

\((1.018)^n=\frac{25,000}{20,612} \\(1.018)^n=1.213\\\)

Get the natural log (ln) of both sides:

\(n=\frac{ln(1.213)}{ln(1.018)}\)

n is approximately 10.823

n is the number of years it will take for the population to reach 25,000 people.

2019+10

=2029

Answer:

2029

Step-by-step explanation:

the domain of the function 0≤x≤7.

What is the domain and range of function?

A function's domain and range are its components. A function's range is its potential output; its domain is the set of all conceivable input values. Domain, Function, and Range. If a function f: A B exists that maps every element in A to an element in B, then A is the domain and B is the co-domain. The image of an element 'a' under a relation R is provided by 'b,' where (a,b) R. The set of photographs makes up the function's range.

From the graph, the value of x varies from The x-values -7, -2, 5, and 7

So the domain of the function will be

0≤x≤7

Hence, the domain of the function 0≤x≤7.

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Answer:

315 minutes

It takes 15 minutes for 1 bracelet. 15 minutes multiplied by 21 bracelets is 315. Lmk if you need more help

Answer: 315 minutes.

Step-by-step explanation:

To solve this, we need to find out how long it takes to make one bracelet first.

If it takes 45 minutes to make 3 bracelets, we need to divide 45 by 3, which gives us 15.

This means it takes 15 minutes to make one bracelet.

Now, we need to multiply 15 by 21.

15 x 21 = 315.

This means it will take 315 minutes to make 21 bracelets.

Step-by-step explanation:

20 T=2-

T=2-/20

hope this helps

Based on the provided information, we can say that Kibo has a volume of approximately 54.01 cubic meters.

To compare the volume of Kibo, Destiny, and Columbus, we need to calculate the volumes of each module.

The volume of a chamber can be determined utilizing the equation V = πr^2h, where r is the span and h is the level (or length for this situation) of the chamber.

For Kibo:

Radius (r) = 2.2 meters

Length (h) = 11.2 meters

V_kibo = π * (2.2^2) * 11.2

      = 4.84 * 11.2

      ≈ 54.01 cubic meters

For Destiny and Columbus, we would need their respective dimensions to calculate their volumes using the same formula.

Destiny is a U.S. laboratory module on the International Space Station. It is a multi-sided module, so we would need the measurements of each side to calculate its volume.

Columbus is a European laboratory module, which is also multi-sided.

Without the specific dimensions of Destiny and Columbus, we cannot accurately compare their volumes to Kibo. However, based on the provided information, we can say that Kibo has a volume of approximately 54.01 cubic meters.

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Answer: Both

Step-by-step explanation:

Answer:

Both

Step-by-step explanation:

Both are splitting the image in half and both halves are equal making it symmetry.

Okay so you put -6 in where y is then solve and youll get your answer

-8x-7(-6)=-6

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Answer:

is called a controlled operation

Step-by-step explanation:

that's what its called i just know

Answer:

Hey, kevinlopez1225, your answer is Number one!

Astradele

The combinations are ab, ac, ad, bc, bd, and cd. So, six games is the answer

Answer:

The experimental probability depends on how many times you're spinning it and theoretical probability is stating what "would" happen if you're only spinning it once. After you get the theoretical probability, you would multiply that percentage by 25 to get the experimental probability percentage.

Step-by-step explanation:

The experimental probability depends on the number of times the experiment is conducted. The result from a theoretical probability is what would happen if the experiment is done once.

Probability determines how likely a stated event would occur. The probability the event occurs is 1 and the probability that the event does not occur is 0. Experimental probability is based on the result of an experiment that has been carried out multiples times

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Answer:

160

Step-by-step explanation:

Answer:

\(-2\frac{1}{4}<-1\frac{1}{4}<\frac{3}{4}<|1\frac{1}{4}|<|-1\frac{3}{4}|<|-2\frac{1}{4}|\)

Step-by-step explanation:

Mod of any number represents the absolute value of the number.

Therefore, \(|-2\frac{1}{4}|=2\frac{1}{4}\) = 2.25

\(-2\frac{1}{4}=-2.25\)

\(|1\frac{1}{4}|=1.25\)

\(\frac{3}{4}=0.75\)

\(|-1\frac{3}{4}|=1\frac{3}{4}=1.75\)

\(-1\frac{1}{4}=-1.25\)

Now we can arrange these numbers in ascending order.

-2.25 < -1.25 < 0.75 < 1.25 < 1.75 < 2.25

Therefore, \(-2\frac{1}{4}<-1\frac{1}{4}<\frac{3}{4}<|1\frac{1}{4}|<|-1\frac{3}{4}|<|-2\frac{1}{4}|\)

When two angles are complementary, it means that they add up to 90°.

This way,

Thereby,

Solving for x,

Answer: Option B

Answer: 5/2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

13-3/5-1 = 10/4 or 5/2

Answer:

2.5

Step-by-step explanation:

Gradient (slope) =

\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)

Set x for the balls and set y to the bats.

Now, the total of bats and balls is no more than 30. This means that their sum is not greater than 30.

We can write no more than( less than or equal to ) with the next

symbol "≤".

Therefore, we can write the next inequality:

x + y ≤ 30

Step-by-step explanation:

solution

here,

1 dollar = rs 72.45

or, 1/72.45 dollars= rs 1

or, rs 1 = 1/72.45 dollars

now,

rs 1449= 1449/72.45 dollars

or,rs1449= 20 dollars

therefore, 20 dollars can be exchanged for rs 1449

firstable its not 45

its sin(-240)=sin(60)

sin(60)=√3/2

sin45=√2/2

The right answer is No solution.

Look at the attached picture

Hope it will help you

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

\(\sqrt\)3x+4=5

Step-by-step explanation:

3x+4=25

3x=21

x=7

Answer:

V=4298.0915\approx 4298.09

V=4298.0915≈4298.09

Step-by-step explanation:

Answer:

Graph C.

Domain: [-1, ∞)

Range: [0, ∞)

Explanation:

When we have a function h(x) = f(x + c), we can say that the graph of h(x) is the graph of f(x) shifted c units to the left.

In this case, we have h(x) = √(x + 1), so, if the basic function is f(x) = √x, we can say that

h(x) = f(x + 1)

h(x) = √(x + 1)

Therefore, the graph of h(x) is the graph of y = √x shifted 1 unit to the left. So, the correct graph is C.

Then, the domain is the set of values that the variable x can take and the range is the set of values that h(x) can take. So, the domain and range of h(x) are

Domain: [-1, ∞)

Range: [0, ∞)