Calculate the area if the composite figures
(check images)

Answer:

108

Step-by-step explanation:

324 = 2 * 2 * 3 * 3 * 3 * 3

432 = 2 * 2 * 2 * 2 * 3 * 3 * 3

The HCF is 2 * 2 * 3 * 3 * 3 = 108

Answer: pretty sure it’s 6 because of its giving you an x to solve and there is a number across from it you multiply that number by 0.5

Step-by-step explanation:

and 0.5 x 12 is 6

The measure of the side length of the triangle is 6. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

If triangles ADE and ABC shown in the figure below are similar.

From the figure, we have

x / 12 = 2 / 4

      x = 6

Then the correct option is C.

The complete question is attached below.

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Answer:

The college spread is best described by the IQR. The high school spread is best described by the standard deviation.

Step-by-step explanation:

The college data has large outliers which skews the data, therefore the IQR is better measure of spread.

The high school data does not appear to be skewed so the standard deviation is fine as a measure of spread.

the young lad invested 6000$

Answer:2000

Step-by-step explanation:

Answer:

This could be correct in the case and only if k would equal 24.5 so only in that case

Step-by-step explanation:

Answer: Yes,these triangles are similar because they are both obtuse, scalene, and they both have three sides

Answer:

y=+2

Step-by-step explanation:

Every advancement in boxes, gives 2 to the next box. the rate of change would be 2/1

Answer: 21/2 can not be simplified anymore!!

Step-by-step explanation:

Answer:

I’m not sure but it’s b

Step-by-step explanation:

Answer:

2 in

Step-by-step explanation:

Given data

Area= 7 in^2

Volume= 14 in^3

from

Volume= Area* height

substitute

14= 7*x

divide both sides by 7

x=14/7

x= 2 in

Hence the height is 2 in

Answer:

c

Step-by-step explanation:

The table which matches 4x + 7y = 19 is table (d).

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Given is a linear equation,

4x + 7y = 19

(a) When x = -18,

7y = 19 - (4 × -18) = 91 ⇒ y = 13

When x = 1,

7y = 15 ⇒ y = 2.14

So the table (a) is not the one.

(b) When x = -9, 7y = 55, y = 7.857

Table (b) is also not the one.

(c) When x = 0, y = 2.7

Hence (c) is also not an option.

(d) When x = -18, y = 13

When x = -11, 7y = 63, y = 9

When x = -4, 7y = 35, y = 5

So the correct option is table (d).

Hence the correct option is table (d).

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Answer:

4

Step-by-step explanation:

8-4=4

difference in acres

Answer:

0 years:  500 $

Step-by-step explanation:

and 6 years: 1350 $

Answer:

3x-2 = 4 or x = ²/3

Step-by-step explanation:

we have full bars of X's so that represents 3 because we have 3 of them and we subtract the 2 (-1)'s we also have and since it is an equation it is supposed to equal something so in this case it equals 4 (1)'s .

If you solve the equation you get x =²/3

Answer:

10x+12

Step-by-step explanation:

Answer:

10x+12

Step-by-step explanation:

I combined the like terms

Answer:

Difference = £10

Step-by-step explanation:

Represent adult with A and children with C

[tex]A + C = 28775[/tex]

[tex]C : A = 9 : 16[/tex]

[tex]Sales = 615785[/tex]

Required

Determine the difference in price of both tickets

[tex]A + C = 28775[/tex]

Convert ratio to fraction

[tex]C : A = 9 : 16[/tex]

[tex]\frac{C}{A} = \frac{9}{16}[/tex]

Cross Multiply

[tex]16C = 9A[/tex]

Make C the subject

[tex]C = \frac{9}{16}A[/tex]

Substitute [tex]C = \frac{9}{16}A[/tex] in [tex]A + C = 28775[/tex]

[tex]A + \frac{9}{16}A = 28775[/tex]

Take LCM

[tex]\frac{16A + 9A}{16} = 28775[/tex]

[tex]\frac{25A}{16} = 28775[/tex]

Multiply both sides by 16

[tex]16 * \frac{25A}{16} = 28775*16[/tex]

[tex]25A= 28775*16[/tex]

[tex]25A= 460400[/tex]

Make A the subject

[tex]A = \frac{460400}{25}[/tex]

[tex]A = 18416[/tex]

Substitute 18416 for A in [tex]C = \frac{9}{16}A[/tex]

[tex]C = \frac{9}{16} * 18416[/tex]

[tex]C = \frac{9* 18416}{16}[/tex]

[tex]C = \frac{165744}{16}[/tex]

[tex]C = 10359[/tex]

If a children ticket costs £15, then total children tickets cost:

[tex]Children = 10359 * 15[/tex]

[tex]Children = 155385[/tex]

The total sales is given as:

[tex]Sales = 615785[/tex]

So, the total cost of adult ticket is:

[tex]Adults = 615785 - 155385[/tex]

[tex]Adults = 460400[/tex]

Recall that number of adults is: 18416

So, an adult ticket costs

[tex]An\ adult\ ticket = \frac{460400}{18416 }[/tex]

[tex]An\ adult\ ticket = 25[/tex]

So, we have that:

Children Ticket = £15

Adult Ticket = £25

The difference is:

Difference = £25 - £15

Difference = £10

Answer:

327

Step-by-step explanation:

[tex]\frac{(3+9)8}{2} (2)+9(11)+8(11)+3(11)+10(11)=96+88+33+110\\ = 327[/tex]

Answer:

60

Step-by-step explanation:

So we have all four side lengths: 8, 3, 10, and 9. Since there's one diagonal side, the best way to solve this is to split the shape in two. So the area of the first shape would be 24 because 8 x 3 is 24. The other one would be different. The side length is 8, so we multiply 9 by 8 and get 72. But since it's a triangle, we have to divide that by 2. Then we get 36. If you add 36 and 24, you get 60. That would be your area.

Answer:

32 slices

Step-by-step explanation:

as each slice is 1/8 of pizza, there are 8 slice on each pizza

as such 4 pizzas will have 4*8=32

9514 1404 393

Answer:

  (c)  y = 2x-1 and y = 2x-1

Step-by-step explanation:

A system of equations in which both equations describe the same line will have infinitely many solutions (all points on that line).

The same line is (obviously) described by the (identical) equations ...

  y = 2x-1 and y = 2x-1

Answer:

positive + positive is negative

negative+ positive = negative ii think

Step-by-step explanation:

f(x)=x2−14 is the answer

Answer:

9

Step-by-step explanation:

They're vertical angles, so they are equal:

5x + 4 = 49

subtract 4 from both sidese

5x = 45

divide both sides by 5

x = 9

Answer: x=9

Step-by-step explanation: First of all, the two shown inner angles are equivalent. This allows you to set up an equation like: (5x+4)=49

Then simply use algebra to solve...

(5x+4)=49

-4 -4 (subtract "4" from each side)

5x=45

5x/5=45/5 (divide each term in the equation by "5")

x=9

Hope this helps!

Answer:

A.) 3/4

Step-by-step explanation:

You can find this by dividing the distance from point Z to point Y by the distance of point X to point Y. The distance from Z to Y is 6 and the distance from X to Y is 8, so that means that the slope is 6/8, which simplifies to 3/4.

Answer:

x = 12°

Detailed explanation down below.

Step-by-step explanation:

Ill be delighted to help

8° + 6x is an exterior angle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

In this situation, those two angles are 30° and 4x+2°

So lets put this in an equation

30° + 4x + 2° = 8° + 6x

4x + 32° = 6x + °8

Now lets subtract 8° from both sides to make it simpler

New equation =

4x + 24° = 6x

Lets evaluate X=

6x - 4x = 24°

2x = 24°

x= 24/2

x= 12°

Answer:

27.5 miles.

Step-by-step explanation:

44km ÷ 8km = 5.5

5.5 x 5 = 27.5

Answer:

27.5 miles

Step-by-step explanation:

i think that's the method I know and I believe that's the answer hope it helps you have a great day.