Find the area of rectangle ABCD.
20
10 √2+ √82
24
12

Answer:

You end up paying $12.96 for the movies tickets

Step-by-step explanation:

Before Tax Price: $12.00

Sale Tax: 8.00% or $0.96

After Tax Price: $12.96

Answer: D. It reduces the cost of your health services and treatments.

Step-by-step explanation:

Health insurance is a form of insurance that is applicable when someone is sick and has medical expenses to pay.

The benefit of health insurance is that it reduces the cost of your health services and treatments.

Health insurance protects an individual from paying huge amount on medical costs. Once a person is insured, the expense paid by six person is typically low as the insurance company covers the expenses.

Answer:

12.4 miles

Step by Step Explanation:

You have to multiply 20 by 0.6213 then you get your answer. You can round it if you want.

Answer:

12.5

Step-by-step explanation:

I got the answer on Hegarty maths

hope its helpfully

Answer: I believe the first one is ASA, and the third one is SAS, however for the second one, I think it’s none or ASA

Answer:

Market price = Rs. 6,000

Step-by-step explanation:

Given:

Cost price = R.s 4,000

Profit after discount = 20%

Discount = 20%

Find:

Market price

Computation:

Sales price = Cost price[1+Profit after discount]

Sales price = 4,000[1+20%]

Sales price = 4,800

Market price = Sales price[100/(100 - Discount)]

Market price = 4,800[100/(100 - 20%)]

Market price = Rs. 6,000

Answer:

[tex]a^{2} + 12a + 18[/tex]

Step-by-step explanation:

Answer:

x^2 +2x-8

Step-by-step explanation:

Here, we want to write the quadratic polynomial given the sum of the root and the product

mathematically, we can have the factors as -2 And +4

So we have the equation as;

(x-2)(x + 4)

= x^2+ 2x - 8

Answer:

m∠AYB = 85°

m∠C = 50°

Step-by-step explanation:

By is the angle bisector of ∠ABC,

Therefore, m∠1 = m∠2 = 30°

m∠3 = 35°

m∠AYB + m∠YAB + m∠ABY = 180°

m∠AYB = 180° - [(m∠1 + m∠2) + m∠3]

             = 180° - [(30° + 30°) + 35°]

             = 180° - 95°

             = 85°

m∠A + m∠B + m∠C = 180°

2(30°) + 2(35)° + m∠C = 180°

60° + 70° + m∠C = 180°

m∠C = 180° - 130°

m∠C= 50°

Answer:

Step-by-step explanation:

Answer:

2x-8+3x+2=4x+10+3x-6

We move all terms to the left:

2x-8+3x+2-(4x+10+3x-6)=0

We add all the numbers together, and all the variables

2x+3x-(7x+4)-8+2=0

We add all the numbers together, and all the variables

5x-(7x+4)-6=0

We get rid of parentheses

5x-7x-4-6=0

We add all the numbers together, and all the variables

-2x-10=0

We move all terms containing x to the left, all other terms to the right

-2x=10

x=10/-2

x=-5

Step-by-step explanation:

Answer:

y = 2x + 1

Step-by-step explanation:

According to the table:

+1 +1 +1 +1

[x] -2 -1 0 1 2

[y] -3 -1 1 3 5

+2 +2 +2 +2

y = mx + b

b is y when x = 0

m is the change in y divided by the change in m = ∆y/∆x or slope.

+2/+1 = 2 = m

y = 1 when x = 0 so b = 1

therefore y = 2x + 1

Answer:

Ok, so we have the fact that plus +minus=minus

Thats the fact. It always works that way that same signs means positive and different means negative, as explained with logic.

4+(-5)

So we know that 4 is positive and -5 is negative

if you look at it through a number line, substracting 5 from 4 you have

3--->2---->1---->0---->-1

Under zero, the negatives start, so its proved by maths and logic as well.

Step-by-step explanation:

The quotient of two integers with different signs is negative because if a number is divided by the negative number it always gives a negative value.

The number being divided is referred to as the dividend, and the number being divided by it is referred to as the divisor. The quotient is the outcome of the division.

Due to the following causes, it is discovered that the two quotients with the two different signs give a negative quotient.

Divide the absolute values of the integers to divide the two numbers with a different sign. The ratio is adverse. Note from this rule that 12/–3 and −12/3 are equal to – 4.

The product of two negative integers has a positive quotient. If the indicators differ, the response is unfavorable. The answer is yes if the signals are consistent.

Thus, the quotient of two integers with different signs is negative because if a number is divided by the negative number it always gives a negative value.

Learn more about the quotient here,

https://brainly.com/question/16134410

#SPJ2

Answer:

38.60mm

Step-by-step explanation:

Step one:

Given data

We are given that the dimension of the triangles are length 23 mm and 31 mm

Let us assume that the triangle is a right angle triangle

Step two:

Applying the Pythagoras theorem we can find the third as

[tex]z^2= x^2+y^2\\\\z^2= 31^2+23^2\\\\z^2= 961+529\\\\z^2= 1490\\\\[/tex]

square both sides

z= √ 1490

z= 38.60mm

Hence a possible dimension of the third side is 38.60mm

Answer:

(4,2)

Step-by-step explanation:

Just by looking at the graph, you can see that they intersect at (4,2). But just to check:

x - 2 = -0.5x + 4

1.5x = 6

x = 4

y = 4 - 2 = 2

(4,2)

Answer:

C.

Step-by-step explanation:

Answer:

The side length of the prints is approximately 34.785 inches.

Step-by-step explanation:

First, we have to calculate the area of the original oil painting ([tex]A[/tex]), measured in square inches, by the following formula:

[tex]A = l^{2}[/tex] (1)

Where [tex]l[/tex] is the length of the side, measured in inches.

And the length of the miniature is determine by means of reduction factor ([tex]k[/tex]), with no unit:

[tex]\frac{A}{k} = l'^{2}[/tex] (2)

If we know that [tex]l = 55\,in[/tex] and [tex]k = 2.5[/tex], then the side length of the miniatures is:

[tex]l' = \sqrt{\frac{l^{2}}{k} }[/tex]

[tex]l' = \frac{l}{\sqrt{k}}[/tex]

[tex]l' = \frac{55\,in}{\sqrt{2.5}}[/tex]

[tex]l' \approx 34.785\,in[/tex]

The side length of the prints is approximately 34.785 inches.

Step-by-step explanation:

Its F

Answer:

20,18,16,14,12,10,8,6,4,2

10,9,8,7,6,5,4,3,2,1

Step-by-step explanation:

Pattern A:

Rule : start with 20 and subtract 2

Pattern B:

Rule : Start with 10 and subtract 1

Pattern 1:

20 - 2 = 18

18 - 2 = 16

16 - 2 = 14

14 - 2 = 12

12 - 2 = 10

10 - 2 = 8

8 - 2 = 6

6 - 2 = 4

4 - 2 = 2

20,18,16,14,12,10,8,6,4,2

Pattern 2:

10 - 1 = 9

9 - 1 = 8

8 - 1 = 7

7 - 1 = 6

6 - 1 = 5

5 - 1 = 4

4 - 1 = 3

3 - 1 = 2

2 - 1 = 1

10,9,8,7,6,5,4,3,2,1

Answer:

yes

Step-by-step explanation:

vvttgvggf

Answer:

6 packages B

7 packages A

Step-by-step explanation:

let the number of packages A be a and the number of packages B be b

Total number of packages is 13;

Thus;

a + b = 13 •••••(i)

Total package a cost is 18(a) = 18a

Total package b cost is 22(b) = 22b

Total of both is 258

18a + 22b = 258 •••••••(ii)

From i, a = 13-b

Put this in equation ii

18(13-b) + 22b = 258

234-18b + 22b = 258

4b = 258-234

4b = 24

b = 24/4 = 6

since;

a + b = 13

a + 6 = 13

a = 13-6

a = 7

Answer:

I believe the answer is

Yes, the points shown on the line would be part of y = 0.5x

Answer:

A

Step-by-step explanation:

Answer:

5, 1, 0.2

Step-by-step explanation:

Divide the number by 5 to get the next one.

Answer:

x ≈ 2.1

y ≈ 5.4

w = 5

Step-by-step explanation:

The given parameters are;

Segment AC = 13

Segment BC = y

Segment AD = 12

Segment CD = w

Segment BD = x

By Pythagoras's theorem, for the right triangle ΔACD, we have;

[tex]\overline {AC}[/tex]² = [tex]\overline {AD}[/tex]²  + [tex]\overline {CD}[/tex]²

∴ 13² = 12² + w²

w² = 13² - 12² = 25

w = √(25) = 5

w = 5

By, Pythagoras's theorem similarly, in the right triangle ΔBCD we have;

y² = x² + w²

∴ y² = x² + 5² = x² + 25

y² = x² + 25

In the right triangle ΔABC we have;

[tex]\overline {AB}[/tex]² = [tex]\overline {AC}[/tex]²  + [tex]\overline {CB}[/tex]²

∴ (12 + x)² = 13² + y² = 13² + (x² + 25)

(12 + x)² = 13² + (x² + 25)

144 + 24·x + x² = 13² + x² + 25

24·x = 13² + 25 - 144 = 50

x = 50/24 ≈ 2.1

x ≈ 2.1

y² = x² + 25

∴ y = √(x² + 25) = √((50/24)² + 25) = 65/12 ≈ 5.4

y ≈ 5.4

Answer:

a=16

Step-by-step explanation:

I believe this is right if it is wrong please tell me.

Answer:

16km

Step-by-step explanation:

Since its a right angle triangle we can use the pythogorean theorem, which is a^2 + b^2 = c^2

So if we apply it to this situation we get,

12^2 + b^2 = 20^2

144 + b^2 = 400

b^2= 400 - 144

b^2= 256

b= 16

So the answer is 16km

Hope this helped :)

Answer:

The line u and line v have no point of intersection because they are parallel lines

Step-by-step explanation:

The slope of a straight line is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The slope of line u is (4 - (-8))/(5 - 9) = -3

The equation for line u is y - 4 = -3*(x - 5)

y = -3·x + 15 + 4 = 19 - 3·x

The slope for line v is (-7 - 2)/(7 - 4) = -3

The equation for the line v is y - 2 = -3*(x - 4)

∴ y = -3x + 12 + 2 = -3x + 14

y = 14 - 3·x

Therefore. line u and line v have the same slope and are therefore parallel and they do not intersect

Answer:

The correct answer is A: Zero

Step-by-step explanation:

Answer:

18.2°, 161.8° and 378.2°

Step-by-step explanation:

Given the expression:

8 sin x = 2.5

Divide both sides by 8

sinx = 2.5/8

Sinx = 0.3125

x = arcsin(0.3125)

x1 = 18.2

Since sin theta is positive in the second quadrant, x2 = 180 - 18.2 = 161.8°

Since our angle must lie in between  0° and 720°,then;

x3 = 360 + 18.2 = 378.2°

Hence the required angles are 18.2°, 161.8° and 378.2°