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2 years ago

–24 + 12d = 2(d – 3) + 22 what does e=

Mathematics

2 answers:

Kitty [74]2 years ago

6 0

Answer:

d = 4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

$-24 + 12d = 2(d-3) + 22$
$-24 + 12d = (2)(d) + (2)(-3) + 22$
$-24 + 12d = 2d -6 + 22$
$12d - 24 = 2d + 16$

Step 2: Subtract 2d from both sides.

$12d - 24 - 2d = 2d + 16 - 2d$
$10d - 24 = 16$

Step 3: Add 24 to both sides.

$10d - 24 + 24 = 16 + 24$
$10d = 40$

Step 4: Divide both sides by 10.

$\frac{10d}{10} = \frac{40}{10}$
$d = 4$

Therefore, d = 4! I hope this helped you.

Andreas93 [3]2 years ago

3 0

Answer:

d=4

Step-by-step explanation:

$- 24 + 12d = 2(d - 3) + 22$

-24+12d = 2d-6+22

12d-2d = -6+22+24

10d = 40

d = 40/10

d =4

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Answer:

QUESTION 2:

The area of the polygon is 21.5 units²

QUESTION 3:

The area of the combined figure is 12 + 18.25·π units²

QUESTION 4:

The area of the figure is 40 units²

QUESTION 5

The area of the compost shape is 40 in.²

Step-by-step explanation:

QUESTION 2.

The area of the polygon is given as follows;

The area of two triangles + The area of trapezoid

1/2×6×3 + 1/2×3×4 + 1/2×(6 + 7) = 21.5 units²

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The diameter of the semicircle, 'd', is given as follows;

d = √(8² + 3²) = √73

The area of the semicircle = π·d²/4 = π·73/4 = 18.25·π unit²

The area of the right triangle beside the semicircle is given as follows;

1/2 × 8 × 3 = 12 unit²

The area of the combined figure = The area of the semicircle + The area of the right triangle

∴ The area of the combined figure = 12 + 18.25·π units²

QUESTION 4:

The dimensions of the parallelogram are;

Width, W = √(4² + 1²) = √(17)

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The area of the parallelogram, $A_R$ = 34 units²

The length of a parallel side, 'A', of the parallelogram is A = 6

The height of the parallelogram, is h = 1

The area of the parallelogram is A = B·h = 6 × 1 = 6 units²

The area of the figure is the sum of the area of the rectangle and the area of the parallelogram

Therefore, we have;

The area of the figure = 34 units² + 6 units² = 40 units²

QUESTION 5

The composite shape consists of a triangle and a rectangle

Therefore, we have;

The area of the rectangle = 5 in. × 7 in. = 35 in.²

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Answer:

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Step-by-step explanation:

We have been given that Mr. Snow bought 90 grams of Christmas candy for each of his 14 grandchildren. We are asked to find the amount of candy bought by Mr. Snow in kilograms.

First of all, we will find the amount of candy in grams by multiplying 90 grams by 14 as:

$\text{Amount of candy bought in grams}=14\times 90$

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