area of composite figuresssss

Answer:

x = 8

Step-by-step explanation:

Given equation:

[tex]\dfrac{-2}{3} (x+12)+\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]

Start out by simplifying the distributive property on the left hand side.

[tex]\implies \dfrac{-2x}{3} + \dfrac{(-24)}{3} +\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]

Combine like terms on the left hand side.

[tex]\implies x\huge\text{(}\dfrac{-2}{3} + \dfrac{2}{3}\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]

Simplify the left hand side.

[tex]\implies x\huge\text{(}0\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]

[tex]\implies x\huge\text{(}0\huge\text{)} - 8 =\dfrac{-5x}{4} +2[/tex]

[tex]\implies0- 8 =\dfrac{-5x}{4} +2[/tex]

[tex]\implies-8 =\dfrac{-5x}{4} +2[/tex]

Subtract 2 both sides.

[tex]\implies-8 -2 =\dfrac{-5x}{4} +2 - 2[/tex]

[tex]\implies-10 =\dfrac{-5x}{4}[/tex]

Use cross multiplication.

[tex]\implies-10 \times 4 =-5x[/tex]

[tex]\implies-40 =-5x[/tex]

Divide -5 both sides.

[tex]\implies \dfrac{-40}{-5} =\dfrac{-5x}{-5}[/tex]

[tex]\implies 8=x[/tex]

Thus, the value of x is 8.

Answer:

x = 8

Step-by-step explanation:

Given equation:

[tex]-\dfrac23(x+12)+\dfrac23x=-\dfrac54x+2[/tex]

Multiply both sides by 3:

[tex]\implies -2(x+12)+2x=-\dfrac{15}{4}x+6[/tex]

Multiply both sides by 4:

[tex]\implies -8(x+12)+8x=-15x+24[/tex]

Expand brackets:

[tex]\implies -8x-96+8x=-15x+24[/tex]

Combine like terms:

[tex]\implies -96=-15x+24[/tex]

Add 15x to both sides:

[tex]\implies 15x-96=24[/tex]

Add 96 to both sides:

[tex]\implies 15x=120[/tex]

Divide both sides by 15:

[tex]\implies x=8[/tex]

Answer:

90:30 is the answer

only if we use over 2

Answer:

27 pi in^3

Step-by-step explanation:

volume of the cone

= 1/3 x pi x r^2 x h

= 1/3 x pi x(3)^2 x (9)

= 27 pi in^3

Answer:

The answer is R is neither reflexive, nor symmetric, nor

transitive.

Step-by-step explanation:

Let A = {1, 2, 3, 4, 5, 6}.

A relation R is defined on set A as:

R = {(a, b): b = a + 1}

R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}

We can find (a, a) ∉ R, where a ∈ A.

For instance,

(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) ∉ R

R is not reflexive.

It can be observed that (1, 2) ∈ R, but (2, 1) ∉ R.

R is not symmetric.

Now, (1, 2), (2, 3) ∈ R

But, (1, 3) ∉ R

R is not transitive

Thus, R is neither reflexive, nor symmetric, nor transitive.

Answer: 450

Step-by-step explanation:

Answer:

first question = 57 degrees

second question = 27 degrees

Step-by-step explanation:

use trigonometry and SOH CAH TOA

then rearrange to find the value of x

using the power of -1

Answer:

$53.30

Step-by-step explanation:

2.5% of 52 is 1.3

1.3 + 52 = 53.30

hope this helped :)

Answer:

$53.30

Step-by-step explanation:

Cost of lunch : $52

Tax : 2.5%

Divide the tax (2.5%) by 100

2.5 ÷ 100 = 0.025

Multiply 0.025 by the cost of the lunch ($52) to get the sales tax.

52 × 0.025 = 1.3

Now, add 1.5 (sales tax) with 52 (cost of lunch).

52 + 1.3 = 53.30

So, the total cost of the lunch + tax is $53.30.

Hope this helped !

Regular polygons have equal sides

Irregular polygons have unequal sides

Answer:

regular polygons have sides and interior angles that are the same and irregular polygons have sides and interior angles that are different

Step-by-step explanation:

[tex]\text{Given that,}\\\\(x_1,y_1) = (7,4)~ \text{and}~ (x_2,y_2)=(4,4)\\\\\text{Distance,}~ d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\~~~~~~~~~~~~~~~~=\sqrt{(7-4)^2+(4-4)^2}\\\\~~~~~~~~~~~~~~~~=\sqrt{3^2}\\\\~~~~~~~~~~~~~~~~=3[/tex]

Step-by-step explanation:

First you do 2 squared plus 5 squared since it is A and B

2² + 5² = 29

Then you square root 29

which is 5.385164807 or 5.4 when you round

Answer:

7

Step-by-step explanation:

As you can see, each time (let's say n) increases by 1, it divides by 1/2. So from a1 to a2, you get 28/2 or 14, then from a2 to a3, 14/2 or 7.

7 being your answer.

Answer:

Step-by-step explanation:

Given the recursive formula.

Use it to determine the value of te third term.

Answer: 12:14 21:18 42:36

Answer:

1/10

1/5

0.5

Explanation:

1/10 = 0.1

1/5 = 0.2

Answer:

add all and devide by the amount of numbers so in this case 0+5+6+7+7 devided by 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

0 + 5 + 6 + 7 + 7 = 25

25/5 = 5

Answer:

Step-by-step explanation:

If we divide 8 by 10, we get 8/10, which reduces to 4/5 or 0.8.  Carter misplaced his decimal point.

Answer:

150 ft² of carpet is needed

Step-by-step explanation:

Dimensions of the floor :

∴ Area of carpet required = Area of floor

Area of floor

Area:-

Answer:

To get the discount for the 5 pound bag of apples, we must first note the following:

The original price of the apples, which in this case it is 2.99

Also we must note the sale price for the apples which is 1.59

to get the discount for apples we must then create an equation based on the above information,

Discount for A= original price -sale price

Discount for A=2.99-1.59

Discount for A=1.40

Part 1 Answer is 1.40 which is the discount for apples at Handy Dandy Grocery.

Part 2

To get the discount for oranges we follow the same steps.

Discount for R= Original price for R -sale price for R

Discount for R=3.99-2.59

Discount for R=1.40

In conclusion, for both part one and part two we can derive a formula based on the apples and orange and say discount in both cases is arrived by the following:

D=Op-Sp. ( d= discount, Or= original price, Sp= sale price.)

Answer:

I'm not certain I understand what is being requested.  Please see the attached explanation for two different approaches.

Step-by-step explanation:

See attachment.

Answer:

The answer would be team D as their range is 24.

Step-by-step explanation:

Team A: range of 27

Team B: Range of 32

Team C: Range of 27

Team D: Range of 24

Team D has the lowest range found by subtracting the larger number 46 by the smaller number 22.

Answer:

3*30 = 90

Step-by-step explanation:

3*30 = 90

Answer:

0.6

Step-by-step explanation:

I used 30 60 90 triangle.

Answer:

[tex]x2 - 9x + 14 = 0[/tex]

Step-by-step explanation:

x2 - 9x + 14 = 0

Answer:

35 : 28

Step-by-step explanation:

Check the attachment.

What are you dragging so I can help?

Answer:

y-intercept: 20

x-intercept: 5

Step-by-step explanation:

First, you want to rearrange the equation to make y on one side

2y=20-4x

Next, the y-intercept is 20.

Then to find the x-intercept, you have to make the equation equal to 0.

20-4x=0

Now, you solve for x.

20-4x=0

-4x=-20

-x=5

x=5

The x-intercept is 5.

Answer:

answer is -1/2

have a nice day

Answer:

I think the answer is 15 but I am not sure hoping this helps good luck

Answer:

its 13

Step-by-step explanation:

Answer:

like if it's rere it's ree duh awsee a