SOLVE APPLICATION USING ALGEBRA. TYPE THE EQUATION OR INEQUALITY AND PLEASE SHOW WORK. a) A rectangle with perimeter 18 cm has length that is 3 cm more than twice its width. Find the dimensions of the rectangle.

Make two shapes out of it.

The bottom is a rectangle 14 x 5 = 70 square cm

The top is a triangle 1/2 x 12 x 5 = 30 square cm

Total area = 70 + 30 = 100 square cm

Answer:

100 cm²

Step-by-step explanation:

The composite shape can be cut into two shapes. One triangle and one rectangle. The sum of their areas is the area of the whole composite shape.

The area of the triangle:

b × h × 1/2

(14 - 2) × 5 × 1/2

60 × 1/2

= 30 cm²

The area of the rectangle:

l × w

14 × 5

= 70 cm²

Add the areas of the two shapes.

30 cm² + 70 cm²

= 100 cm²

The area of the composite shape is 100 cm².

Answer:

4 units

Step-by-step explanation:

Since the y value is the same, we only have to look at the x value

-1 - -5

-1 +5

4

The distance is 4 units

Answer:

4 units

Step-by-step explanation:

if you graph these 2 points, they'll be on the same line of the graph separated by 4 units

Answer:

a₁ = 15 and common difference = 8 so the formula is:

aₙ = 15 + (n - 1) * 8

= 8n + 7

Answer:

The circumference formula is 2πr and we know r = 1 so the answer is 2π.

Answer: 6.28 feet

Step-by-step explanation:

The formula for circumference is C= πd Diameter is radius times two. So use a value of π which is usually 3.14 or 3.1416 for practical purposes. Multiply by the diameter. 3.14×2=6.28.

Answer:

V = 200 pi units ^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

V = 1/3 pi ( 10 ^2) (6)

V = 1/3 pi (100) *6

V = 200 pi

Answer:

A. q = 39

Step-by-step explanation:

Since the lines are parallel, their sides will be proportional,

So,

Taking their proportion

=> [tex]\frac{60}{40} = \frac{q}{26}[/tex]

Cross Multiplying

q × 40 = 26 × 60

q = [tex]\frac{1560}{40}[/tex]

q = 39

Answer:

U = x^2

hope this helped!

Answer:

x^2

Step-by-step explanation:

The person above me is spitting mad facts and da TRUTH and also UNUS ANNUS

Answer:

<x = 36°

Step-by-step explanation:

In a regular decagon, Every interior angles is equal to 144.

So,

<x + 144 = 180 [Angles on a straight line]

<x = 180-144

<x = 36°

Answer:

x and y = 66.5

Step-by-step explanation:

180-47=133

133/2=66.5

Answer:

3375/13

Step-by-step explanation:

it's found though this equation  [tex]\frac{84375/25}{325/25}[/tex]

Answer:

[tex]3375/13[/tex]

Step-by-step explanation:

[tex]84,375/325[/tex]

Divide the numerator and denominator by 25.

[tex]3375/13[/tex]

[tex]=259.615385[/tex]

Answer:

x = -5/2

x = 1

Step-by-step explanation:

(x-1) (2x+5) = 0​

Divide both sides by (x-1)

2x+5 = 0​

Subtract 5 on both sides.

2x = -5

Divide 2 into both sides.

x = -5/2

(x-1) (2x+5) = 0​

Divide both sides by (2x+5).

x - 1 = 0

Add 1 to both sides.

x = 1

Answer:

First year's interest is already given.

There are 5 more payments of interest

= 5 * 0.07 * 950 = 332.5

so amount in the account after 6 years = 950 + 332.5 = 1282.5

Answer:

The answer is 1282.50

Step-by-step explanation:

Answer:

The first term as 2.

Pattern: Multiply the previous term and 2 to get the next term.

Step-by-step explanation:

The pattern is every term is 2× the previous term.

The sequence of the differences, 2, 4, 8, 16, 32, … is geometric. The pattern is every term is 2 times the previous term.

The geometric series is a series in which the ratio of two consecutive numbers is constant.

The sequence of the differences, 2, 4, 8, 16, 32, … is geometric.

So, The ratio of two consecutive numbers is constant.

r = 4/2 = 2

r = 8/4 = 2

Thus, The pattern is every term is 2 times the previous term.

Learn more about geometric series;

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Answer:

4 sets

Step-by-step explanation:

1 gallon contains 8 pints. It takes 2 pints per table, so we should divide 8 by 2.

By doing this, we get 4, therefore he can stain 4 sets of tables with a gallon of stain.

Answer:

The price at the end of the week is $33.

Step-by-step explanation:

We are given that on Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4.

The price of a company’s stock on Monday = $30 per share

So, the mathematical statement that represents the situation is given by;

Price of company’s stock on Monday = $30

On Tuesday, the stock price drops $3, so the price of company’s stock on Tuesday = Price of company’s stock on Monday - Drop in price on Tuesday

              = $30 - $3 = $27

On Wednesday, the stock price rises $7, so the price of company’s stock on Wednesday = Price of company’s stock on Tuesday + Rise in price on Wednesday

              = $27 + $7 = $34

On Thursday, the stock price rises $3, so the price of company’s stock on Thursday = Price of company’s stock on Wednesday + Rise in price on Thursday

              = $34 + $3 = $37

On Friday, the stock price drops $4, so the price of company’s stock on Friday = Price of company’s stock on Thursday - Drop in price on Friday

              = $37 - $4 = $33

Hence, the price at the end of the week is $33.

Answer:

D

Step-by-step explanation:

5.50. 5.50+0.25= 5.75, 5.75+0.25= 6.00, 6.00+0.25= 6.25, 6.25+0.25= 6.50

Option D is the answer:

5.50, 5.75, 6.00, 6.25, 6.50...

Answer:

4

Step-by-step explanation:

just change the x into -6

-(-6)-2 = 6 - 2 = 4

Answer:

f(x)=-x-2

f(-6)=-(-6)-2

f(-6)=4

Step-by-step explanation:

Answer:

80 = x

Step-by-step explanation:

The base angles are the same if the side lengths are the same

The unmarked angle is 50 degrees

The sum of the angles is a triangle is 180 degrees

180= 50+50+x

180 = 100 +x

180 -100 = 100+x-100

80 = x

Answer:

80°

Step-by-step explanation:

In an isosceles triangle, if the two sides are the same length, then the two angles formed on the base line are equal.

The other angle on the base line is also equal to 50°.

Angles in a triangle add up to 180°.

x° + 50° + 50° = 180°

x° + 100° = 180°

x° = 180° - 100°

x° = 80°

Answer:

1. y = -2n + 9

2. y = (1/2)x + 1/2

Step-by-step explanation:

1.

The equation of a line is denoted by y = mx + b, where m is the slope and b is the y-intercept.

Slope is calculated by taking two coordinates and dividing the difference of the y-coordinates by the difference of the x-coordinates. The y-intercept is where the line intersects the y-axis.

Let's choose any two points on the line: (4, 1) and (3, 3). Then:

slope = m = (3 - 1) / (3 - 4) = 2 / (-1) = -2

Now, we can also see that at the point (0, 9), the line intersects the y-axis, so that means b = 9.

The equation is thus y = -2n + 9.

2.

Let's again choose any two points to find the slope: (1, 1) and (3, 2). Then:

slope = m = (2 - 1) / (3 - 1) = 1/2

We can see that the line crosses the y-axis at the point (0, 1/2), so that means b = 1/2.

The equation is thus y = (1/2)x + 1/2.

~ an aesthetics lover

Answer:

1. y = -2x + 9

2. y = (1/2)x + 1/2

Step-by-step explanation:

There was a mistake on the last one so I would like to correct it it is

y= -2x+9

The other one said -2n its -2x

Answer:

x=1/2. y=4

Step-by-step explanation:

4(2x+3y=13)=8x+12y=52

2(4x-y=-2)=8x-2y=-4

subtract equation one from equation two to get

14y=56 then u will divide bothe sides by 14. for x u substitute y in equation one

Answer:

x = 1/2 y = 4

Step-by-step explanation:

Equation 1

2x + 3y = 13

Equation 2

4x - y = -2

Multiply equation 2 by 3

12x - 3y = -6

Add equation 1 to 3

14x = 7

x = 7/14

x = 1/2

Substitute x into equation 1

2(1/2) + 3y = 13

3y = 13 -1

3y = 12

y= 12/3

y = 4

x =1/2 y = 4

Hope this helps.

Answer:

173.6

Step-by-step explanation:

0.7(248)

173.6

Answer:

£ 173.6

Step-by-step explanation:

£248 *0.30= 74.4

£248 -74.4 =173.6

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Just stick it into a calculator lol

Answer: -11/2

Step-by-step explanation:

First, find the reciprocal of -16/121. Which is -121/16 (you can put the negative sign anywhere). Now, you must multiply the two fractions:

[tex]\frac{8}{11} *-\frac{121}{16}[/tex]      

You can cross out the terms 8 and 16 because they can be simplified into 1 and 2. And you can cross out 11 and -121 because they can be simplified into 1 and -11:

= [tex]\frac{1}{1} * -\frac{11}{2}[/tex]

Now multiply the numerators together, and multiply the denominators:

= [tex]-\frac{11}{2}[/tex]

Answer:

3(3+4n)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder

h represents the height of the cylinder

π is a constant

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Where

r represents the radius of the cone

h represents the height of the cone

This means that the volume of the cone is 1/3 × volume of cylinder. Since the volume of the given cylinder is 230 cubic units, then

Volume of cone = 1/3 × 230 = 76.7 cubic units

Answer:

-2 ≤x≤5

Step-by-step explanation:

The domain is the inputs

The lowest value of x is -2 and every value of x is valid up to 5

-2 ≤x≤5

Answer:

A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees.

Step-by-step explanation:

The measures of the angles of in a triangle should correspond to the length size of the side opposite each angle in a triangle.

In simple terms, this means that the larger the measure of an angle, the longer the length of the side opposite that angle. Therefore, the smallest measure of an the 3 angles in the triangle should correspond with the shortest length.

Therefore, the triangle with the correct side length would be "A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees." Check the attachment below to see how each side length corresponds with each angle opposite them.

Answer:

D

Step-by-step explanation:

your welcome

Answer:

False

Step-by-step explanation:

Is the following statement true or false?

The intersection of a plane and a ray can be a line segment.

Answer:

C

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other.

Thus the angle at the intersection of the diagonals is 90°

The sum of the 3 angles in a triangle = 180°

Sum the angles in the lower triangle and equate to 180, that is

90 + x + x + 40 = 180

2x + 130 = 180 ( subtract 130 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25 → C

The value of x is 25.

What are some of the properties of a rhombus?

Given

ABCD is a rhombus,

∠CAD = x°,

∠BDA = (x + 40)°.

Find the equation in x

Let the point where the diagonals intersect be E.

Then, using the property of the rhombus ∠AED = 90°.

We know, in a triangle that the sum of all the three interior angles equals 180°. So, we get,

     ∠AED + ∠BDA + ∠CAD = 180°

⇒                 ∠BDA + ∠CAD = 180° - ∠AED

                                                = 180° - 90° = 90°      (∠AED = 90°)

Put the given values of these angles,

          (x + 40)° + x° = 90°.

This is the equation to be solved to obtain x.  

Solve for x  

           (x + 40)° + x° = 90°

⇒   (2x)° = 90° - 40° = 50°

⇒         x° = (50 / 2)°

⇒         x = 25.

The required value of x is 25.

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Answer:

its y = |x| + 2

Step-by-step explanation: