The sides of a rectangle are a number and 4 less than that same numbers. The perimeter is 56. Find the dimensions of the rectangle.

Answer:

Step-by-step explanation:

Suppose that the side length is s.  Imagine that one side is level.  Draw a vertical line through the top vertex perpendicular to the base (level side).  Label this vertical line "h."  Then h and s are related as follows:

                               √3          h

sin 60 degrees = ------- = --------

                                 2           s

                                                                   s√3

and so h = the height of the triangle =  -----------

                                                                       2

The area of this triangle is (1/2)(base)(height), which here is:

(1/2)(s/2)( s√3 /2), or

        (s^2)√3

A = ---------------

               8                                

Answer:

It's -1.

Step-by-step explanation:

-5/4 - (-1/4) = -1.

Answer:

Step-by-step explanation:

-1 - ( -5/4 )

= -1 + 5/4

1/4

Hope this helps

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Answer:

Step-by-step explanation:

One solution would be (1, -4), and the other would be (4, -7).

The ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).

The ordered pair is the pair of two numbers which represented in a manner that it provides a particular order.

In a order pair the first term indicates the x-coordinate, while the second term indicate the y-coordinates. The ordered pair are written in close bracket in the following way.

[tex](x,y)[/tex]

System of equation-

In the given graph, one linear line and one parabola is shown. In this graph the parabola intersect with the line at point (1,-4) and (4,-7).

Thus, the ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).

Learn more about the ordered pair here;

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Answer:

9

Step-by-step explanation:

The average is just another word for mean. You get the mean by adding all the numbers in a data set and then dividing by the number you added.

Answer:

second option

Step-by-step explanation:

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x )

The solution is, :A triangle is rotated 90° about the origin, then, (x, y) - (y, -x), this rule describes the transformation.

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have,

Rotation is a process in which the orientation of a given figure is changed by turning it about a point called origin.  The rotation can be done either clock-wisely or counterclockwise about the origin.

If the given triangle is rotated 90° clockwise, the rule that describe the transformation is; (x, y) - (y, -x)

If the given triangle is rotated 90° counterclockwise, the rule that describe the transformation is; (x, y) - (-y, x)

In the given question, the required rule is; (x, y) - (y, -x). This shows a clockwise rotation of 90° about the origin.

Hence, The solution is, :A triangle is rotated 90° about the origin, then, (x, y) - (y, -x), this rule describes the transformation.

To learn more on transformation click:

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Answer:

-5x + 0y = -11

The y terms are eliminated

Step-by-step explanation:

- 4x – 2y = -2

X - 2y = 9

We want to subtract the second equation from the first

Distribute a minus sign to all the terms in the second equation

- 4x – 2y = -2  

X - 2y = 9

= (-5x + 0y = -11)

Answer:

The answer is D.

Step-by-step explanation:

Answer:

C. (-5, -7)

Step-by-step explanation:

This is correct because the points in Q3 are all negative and C is the only one that contains both negative numbers!

PLEASE MARK BRAINIEST AND HOPE THIS HELPS!!

Answer:

Ans is C(-5, -7)

Step-by-step explanation:

We know that in first quadrant all are positive and in second x is negative and y is positive and in third all are negative ans in four x is positive and y is negative so according to c option it,s the only one that lie in third quadrant because it has both value negative

Answer & Step-by-step explanation:

For this problem, we will be using the tangent trig ratio because we are dealing with the opposite side and the adjacent side of the triangle. Although cosine may be a good ratio to use as well, it is not the best ratio to use because if you were to use the cosine ratio, you will have more steps to complete in order to solve the problem. Plus, we are not dealing with the hypotenuse side of the triangle. Therefore, it is best to use the tangent ratio because it is more efficient and it corresponds to the side lengths we are using.

On the next page, we are given a Venn Diagram. We are asked to tell the difference between finding the angle and finding the side. Then, we are asked to find the similarity between them.

When solving for the unknown side, you have to flip the equation because one of the sides will be known as a variable.

When solving for the unknown angle, you have to use the inverse of the trig ratio that you are using for that problem.

The similarity between the two is that they will always use one of the trig ratios.

Answer:

45% of students are female or 15/32

Step-by-step explanation:

We find out their is 72 Boys and 60 Girls

We add both together to get 132 Students

Then we divide to get our number/fraction

60/132 = 15/32 or 45%

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Step-by-step explanation:

19/20 in decimal form is 0.95

Answer:

0.95

Step-by-step explanation:

19 ÷ 20

Divide.

= 0.95

Answer:

a. 60 boys

b. 228 total students

Step-by-step explanation:

a. If there are 45 girls and the ratio of girls to boys is 3:4, then there are 60 boys. The common multiple is 15.

3 * 15 = 45

4 * 15 = 60

45:60 = 3:4

——————————

b. First we need to find out how many boys there are.

95 / 5 = 19

19 * 7 = 133

So, there are 133 boys and the given number of girls is 95. To find out how many total students there are, we need to add 133 and 95.

133 + 95 = 228

Answers:

minor arc RP = 125 degrees

minor arc QS = 125 degrees

============================================================

Explanation

Definition: A minor arc is a piece of a circle such that it is smaller than a semi-circle with the same radius. In other words, it's measure is always less than 180 degrees.

Based on this definition, a minor arc is where we take the shortest path between any two points on a circle. For minor arc RP, we start at R then go to the right and take the shortest path to P. We do not go left when we start at R because that's the longer path and it is the major arc.

Minor arc RP is subtended by central angle ROP = 120 degrees. This central angle is equal to the arc measure in question. This isn't really a theorem, but more a definition if anything.

Central angle QOS is equal to angle ROP through the vertical angles theorem. Any pair of vertical angles are always congruent. Since QOS is 125 degrees, so is minor arc QS.

Answer:

Arc RP is 125, Arc QS is 125, Arc QR is 55, and arc SP is 55

Step-by-step explanation:

We know Arc QS is 125 degrees because angle QOS is a vertical angle with Angle ROS, so Arc QS is 125, and ARC RP is 125. We can figure out the other two arcs using the knowledge that ARC QR is equal to arc PS because angle QOR an SOP are vertical angles and all the degrees have to add up to 360. From this we get 2x + 125 + 125 = 360. From here we simplify and get 2x + 250 = 360; 2x = 110; x = 55, so arc QR and ARC SP are both 55.

Hope this helps :)

Answer:

A

Step-by-step explanation:

Let me know If you want me to explain it.

Answer:

A. h = V/(pi * r^2)

Step-by-step explanation:

V = pi r^2 h

Divide both sides by pi r^2.

V/(pi r^2) = h

The h variable is isolated now.

Answer: A

Slope = -6

Step-by-step explanation:

Given that the column of the table are:

Column X (-2,-1,0,1,2) and

Column Y (8,2,-4,-10,-16) 

Since the table represent a linear function, the equation of the function will obey the general linear equation

Y = MX + C

Where M = slope

M = ( Y2 - Y1 ) / ( X2 - X1 )

Let Y1 = 8, Y2 = 2 and X1 = -2 and X2 = -1

Substitutes all the parameters into the formula

M = ( 2 - 8 )/( -1 - - 2 )

M = ( 2 - 8 ) / ( -1 + 2 )

M = -6/1

M = -6

Therefore, the slope of the function is -6

Why am I just finding this?

Answer:

150 steps

Step-by-step explanation:

let the number of steps=x

time taken to go up=1/3×x=x/3 s

time taken to go down =1/2×x=x/2 s

now

[tex]\frac{x}{2} -\frac{x}{3} =25\\multiply ~by~6\\3x-2x=25 \times 6\\x=150[/tex]

Answer:

m = 2

Step-by-step explanation:

30m + 45m = 150

75m = 150

m = 150/75

m =2

Answer:

m = 2

Step-by-step explanation:

30m + 45m = 150

75m =150

÷75    ÷75

m = 2

Answer:

Domain { -1,3,5}

Step-by-step explanation:

The domain is the input to the function

Domain { -1,3,5}

Answer:

53 sweets.

Step-by-step explanation:

The mean out of 10 bags of sweets is 42. That means that all the numbers of sweets added up would be 420.

39 + 40(2) + 41(5) + 43 + x = 420

39 + 80 + 205 + 43 + x = 420

367 + x = 420

x = 53.

So, in the 10th bag, there are 53 sweets and a sugar high for whoever eats that many sweets.

Hope this helps!

Answer:

X=53 sweets

Step-by-step explanation:

Answer:

x = 4c - 18

Step-by-step explanation:

=> 4c-3 = x+ 15

Subtracting 15 to both sides

=> x = 4c-3-15

=> x = 4c - 18

Answer:

x=6

Step-by-step explanation:

4x- 3 = x+15

-1x       -1x

3x- 3=15

+3       +3

3x=18

÷3  ÷3

x=6

Answer:

95 degrees

Step-by-step explanation:

Since the sum of the angles in a quadrilateral must add up to 360 degrees:

95+85+Z+85=360

Z+265=360

Z=95 degrees

Hope this helps!

Answer:

Z = 95°

Step-by-step explanation:

if W = Y => X = Z => Z = 95°

Answer:

its wht u r searching for...

Answer:

Solution,

Principal=$1200

Rate=3%=3/100=0.03

Interest=$108

Time=?

Now,

[tex]t = \frac{i}{p \times r} [/tex]

[tex] = \frac{108}{1200 \times 0.03} \\ = \frac{108}{36} \\ = 3 \: years[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

A. Garden plants grow better in wet soil than in dry soil.

Step-by-step explanation:

A testable hypothesis is theory that can actually be proven by facts rather than opinions

Answer:

Pretty easy (if you know geometry)!

Step-by-step explanation:

First, we know that A and B have angle bisectors. This means the angles that are divided by that angle bisector are equal (or their measures).

Thus, m<DBA= 1/2 Beta; m<DAB=1/2 Alpha.

Time to find m<ADB. Using the sum of all angles in a triangle = 180* theorem, we can come up with this equation:

[tex]180= m<ADB+\frac{1}{2} \alpha +\frac{1}{2} \beta[/tex]

So, solving:

[tex]180-\frac{1}{2} \alpha -\frac{1}{2} \beta =m<ADB[/tex]

So there you go! Hope this helps!

Answer:

Step-by-step explanation:

I = PRT

P = 1000

R = 2.5% or 0.025

T = 4

I = (1000)(.025)(4)

I=100

1000+100=1100

but the answer choices???