One side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increases by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle.

Answer:

C

Step-by-step explanation:

the cos of an angle of 45° is equal to √2/2~=0,7071

Do you want the full explanation?

Answer:

ASA

Step-by-step explanation:

ASA rule states that: If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Answer:

Step-by-step explanation:

Find the dimensions of the kitchen, convert to feet

The area is

Answer:

5.56 ft² (nearest hundredth)

Step-by-step explanation:

Given:

If the scale is 1 : 20, then to scale up, multiply the width and length by 20:

⇒ width = 4 × 20 = 80 in

⇒ length = 5 × 20 = 100 in

Area = width × length

        = 80 × 100

        = 800 in²

1 ft = 12 in

⇒ 1 ft² = 12² in² = 144 in²

Therefore, to find the area of the room in square feet, divide the area in inches by 144:

⇒ area = 800 ÷ 144

            = 5.56 ft² (nearest hundredth)

Answer:

140

Step-by-step explanation: all you have to do is add all the numbers then multiply those by 4 then you will get 140

Step-by-step explanation:

Dude THE Values for graph are given or not

Answer:

- Both are quadrilaterals.

- Both have two pairs of side of equal length.

I hope my answer helps you.

Answer: 2 pairs of congruent sides

Hope this helps!

have a nice day!

A) The probability that you make a second free throw given that you made the first free throw

Answer:

See picture & explanation below.

Step-by-step explanation:

The scale is 1:2, so everything is doubled in size.

Count the number of squares each segment is in length and multiply it by 2. Then draw all new segments that are twice as long as the original ones to create a house that is twice as large as the original house.

See the picture below.

Answer:

194,711

Step-by-step explanation:

1,000,000 - 805, 289 = 194,711

If the distance from the earth to the moon is about 3.84 x 10⁶.One-fourth of this distance will be 960,000

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, the distance from the earth to the moon is about 3.84 x 10⁶.

One-fourth of this distance is found by dividing the total distance by 4.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

Suppose the one-fourth of this distance will be x,

(1/4)× 3.84 x 10⁶ =x

x=(3.84 x 10⁶)/4

x=960,000

Thus, if the distance from the earth to the moon is about 3.84 x 10⁶. One-fourth of this distance will be 960,000

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ5

We can organize the data by making a board (i can't draw one so i'll do it in another way)

First, we have to see how many different values are there :
19 ; 21 ; 22; 23 ; 24 ; 25 ; 26 ; 27 ; 28 ; 29 ; 30 ; 31 ; 32 ; 34 ; 35 ; 36 ; 37 ; 39 ; 40 ; 43 ; 44 ;45 ; 46

Frequency :
19 : 1 time
21 : 3 times
22 : 1 time
23 : 1 time
24 : 5 times
25 : 3 times
26 : 2 times
27 : 4 times
28 : 3 times
29 : 2 times
30 : 2 times
31 : 3 times
32 : 2 times
34 : 2 times
35 : 4 times
36 : 2 times
37 : 1 time
39 : 1 time
40 : 1 time
43 : 2 times
44 : 1 time
45 : 1 time
46 : 1 time
47 : 1 time

(that was so long, now you can construct the board yourself right xd)

Answer:

42000(1.0175)^12 = $51720.45

Step-by-step explanation:

Let's break this problem down in a few steps

Since these two fractions are equal to each other, let's solve for x

  [tex]\frac{x}{6}=\frac{5}{6} \\6x=30\\x = 5[/tex]

Thus x = 5

Hope that helps!

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Step 1:  Convert to an expression

x over 6 equals 10 over 12

[tex]\frac{x}{6}=\frac{10}{12}[/tex]

Step 2:  Cross multiply

[tex](x * 12) = (6 * 10)[/tex]

[tex]12x = 60[/tex]

Step 3:  Divide both sides by 12

[tex]\frac{12x}{12} = \frac{60}{12}[/tex]

[tex]x = 5[/tex]

Answer:  [tex]x = 5[/tex]

Explanation: Simply divide 3 over 5. We cannot do much with the fraction since 3/5 can't be reduced. So we leave it as is.

3/5 in decimal form is exactly 0.6 and that converts to 60%, meaning each person gets 60% of a full liter.

Answer:

down below

Step-by-step explanation:

no squares and rectangles are not the same because a square has all 4 sides of the square are the same length while for rectangles have do not have same length for all four sides so therfore squares are not also rectangles

Answer:

2

Step-by-step explanation:

Four years from now: h+4

Hozumi will be 2 years younger than 4 times her present age: 4h-2

h+4=4h-2

6=3h

h=2

Answer:

D = 1120

Step-by-step explanation:

Given:

Substitute the values into the equation:

⇒ D = WT²

[tex]\text{D = WT}^{2} \ \text{can also be written as D = (W)(T)(T)}[/tex]

⇒ D = (W)(T)(T)

⇒ D = (70)(4)(4)

Simplify the RHS:

⇒ D = 280(4)

⇒ D = 1120

Answer:

Median is the middle of the data set. For example this data set is 4, 6, 7, 9, 10. First you take out 4 and 10. The you take out 6 and 9 to get a median of 7. But if there is an even amount of numbers like in this data set, 1, 2, 4, 5. Then you take out 1 and 5 and then find the middle point in between 2 and 4 which is 3.

Answer:

Step-by-step explanation:

Use the formulas supplied in the picture attached. There's nothing to really learn here, it is just a plug-and-chug formula:

[tex]sin(3x)sin(2x)=\frac{1}{2} [cos(3x-2x)-cos(3x+2x)][/tex]

[tex]sin(3x)sin(2x)=\frac{1}{2} [cos(x)-cos(5x)][/tex]

Moving on to the second problem:

[tex]cos(a)sin(b)=\frac{1}{2}[ sin(a+b)-sin(a-b)][/tex]

Therefore:

[tex]2cos(a)sin(b)=sin(a+b)-sin(a-b)[/tex]

Where:

[tex]a+b=5x[/tex]

[tex]a-b=3x[/tex]

Solve for 'a' using the second equation to get:

[tex]a=3x+b[/tex]

Plug this into the first equation to get:

[tex]3x+b+b=5x[/tex]

[tex]3x+2b=5x[/tex]

[tex]2b=2x[/tex]

[tex]b=x[/tex]

Therefore:

[tex]a+x=5x[/tex]

[tex]a=4x[/tex]

Finally:

[tex]sin(a+b)-sin(a-b)=2cos(4x)sin(x)[/tex]

Explanation:

Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.

Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.

Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.

Choice D is ruled out for similar reasoning as choice A. Recall that [tex]\sec(x) = \frac{1}{\cos(x)}[/tex]

Answer:

0 ≤ sin x < 1/2.

Step-by-step explanation:

sin π6 = 1/2

sin 5π/6 = 1/2

sin 0 and sin 180 = 0

The dotted line indicates that the value of the sine is less than 1/2 and the solid line indicates that value  is greater or equal to zero.

So the inequality is 0 ≤ sin x < 1/2

Answer:

the answer is simple 4

Step-by-step explanation:

10n4 simple just like 10 to the 4th power

The y-intercept will be where it crosses the y-axis. The y-axis is the line that goes up and down also know a vertically.

Answer:

1) Factored Form: y = (x - 3)(x + 1)

  X intercepts: (-1, 0), (3, 0)

  Axis of Symetry: x = 1

  Vertex: (1, -4)

  Domain: All real numbers -  (-∞, ∞)

  Range: y ≥ 4

2) Facotred Form: y = (x - 8)(x + 1)

   X intercepts: (-1, 0), (8, 0)

   Axis of symetry: x = 3.5

   Vertex: (3.5, -20.25)

   Domain: All real numbers - (-∞, ∞)

   Range: y ≥ -20.25

Step-by-step explanation:

Answer:

The correct answer is 1.65

Step-by-step explanation:

~Hope this helps! :)

Answer:

they are both prime numbers

have a nice day

The answer is below.

So, this is what they have in common.

#LearningWithBrainly

~NatLikesAnime!

Answer:

9000 grams

Step-by-step explanation:

Keep in mind the conversion 1 kilogram = 1000 grams, as 1 kilo means 1000.

⇒ 1 kilogram = 1000 grams

⇒ Ben's dog = 9 kilogram = x kilograms = 1000x grams

⇒ x = 9

⇒ Ben's dog = 9 kilogram = 1000x grams

                                            = 1000(9) grams

                                            = 9000 grams

Answer:

Your answer is,

9000 grams

Step-by-step explanation:

Hope this helps you :)

pls mark brainliest <3

`

`

`

``Tori

Answer:

Divide y by x. The answer is 8

For example 252 divided by 30 equals 8.4

Round it out to 8.

Answer:

The answer is A

Step-by-step explanation:

you divide the Y by the X

Answer: the center is (-5, 5) and the radius is 15

Step-by-step explanation:

the standard form of a circle is

(x-h)^2 + (y-k)^2 = r ^2 where h is the x coordinate and k is the y coordinate of the center of the circle

(h,k) = the center of the circle

r = radius

therefore,

(x+5)^2 + (y-5)^2 = 225 means that x has to be -5 since subtracting a negative creates a positive and y must be 5 as it is negative in the equation

think of it as making the sum/difference 0 within the parentheses:

(x+5) -5+5 = 0 so x=-5

(y-5) 5-5 = 0 so y =5

so the center of the circle is (-5,5)

the radius is simply 225 square rooted which is 15

hope this helps :)

Answer:

Step-by-step explanation:

Actually, it is 8.

3/8: nothing need be done.

3/4: Multiply top and bottom of the fraction by 2.

3*2 / 4*2 = 6/8

So the lowest common multiple is 8.

The factions become 3/8 and 6/8

Answer:

tanC = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{36}{15}[/tex] = [tex]\frac{12}{5}[/tex]