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Helga [31]
3 years ago
5

Honors Geometry QUiz- Please Help

Mathematics
1 answer:
viktelen [127]3 years ago
5 0

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

QUESTION 3

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)

Length, L = √(8² + 2²) = √(68)

The area of the parallelogram, A_R = W × L = √(17) × √(68) = √(17 × 68) = 34

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

The area of the triangle = 1/2 × 2 in. × 5 in. = 5 in.²

The area of the compost shape = The area of the rectangle + The area of the triangle

∴ The area of the compost shape = 35 in.² + 5 in.² = 40 in.²

The area of the compost shape = 40 in.².

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rjkz [21]

Answer:

-41/80, -45/80, -48/80, -51/80, -55/80, -59/80

Step-by-step explanation:

-4/8, -3/4 = -4/8, -6/8

               = -40/80, -60/80

∴ Rational numbers between -40/80 and -60/80 = -41/80, -45/80, -48/80, -51/80, -55/80, -59/80.

4 0
2 years ago
The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a tab
Viefleur [7K]

Answer:

Input - Output

2 - $290

12 - $690

24 - $1170

Step-by-step explanation:

Cost after n months:

The cost after n months is given by the following function:

C(n) = 40n + 210

After 2 months:

This is C(2). So

C(2) = 40(2) + 210 = 80 + 210 = 290

After 12 months:

This is C(12). So

C(12) = 40(12) + 210 = 480 + 210 = 690

After 24 months:

This is C(24). So

C(24) = 40(24) + 210 = 960 + 210 = 1170

Table:

Input - Output

2 - $290

12 - $690

24 - $1170

6 0
3 years ago
#19 please I’m literally failing math
ankoles [38]

Answer:

$51.12

Step-by-step explanation:

Hello there!

In number 19, we want to find the total price of a sweatshirt that costs $48 dollars but has 6.5% sales tax

Sales tax is a small percentage of the cost of an item that is added to items when they are being sold.

In this problem, 6.5% of the cost of the sweatshirt will be added to the cost of the sweatshirt in the form of sales tax. The price of the sweatshirt plus the amount in sales tax will be the total cost of the sweatshirt.

Translating that as an equation,

48 + 48*6.5%=total cost

You can calculate 48*6.5% as \frac{48*6.5}{100}, which is equal to 3.12

So that means that $3.12 will be added to the cost of the sweatshirt.

Therefore,

48 + 3.12=<u>$51.12</u>, which will be the total cost of the sweatshirt, including sales tax

Hope this helps!

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2 years ago
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adelina 88 [10]
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liberstina [14]

Answer:

x+13

Step-by-step explanation:

x +13

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