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svet-max [94.6K]
3 years ago
14

Monica's college runs on a trimester schedule, so she receives a bill 3 times a year for tuition. Each trimeste

Mathematics
1 answer:
BigorU [14]3 years ago
7 0

Answer:

total cost for Samantha to get her degree = $5,128.2

Step-by-step explanation:

Number of trimesters per year = 3

Number of years = 4

∴ Total number of trimesters throughout college = 3 × 4 = 12 trimesters

Tuition per trimester = $2.350

Total tuition (12 trimesters) = 2.350 × 12 = $28.2

cost of books per trimester = $425

cost of books throughout college (12 trimesters) = 425 × 12 = $5,100

total cost for Samantha to get her degree = total cost of tuition + total cost of books

total cost for Samantha to get her degree = 28.2 + 5,100

total cost for Samantha to get her degree = $5,128.2

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Samuel has to sell concert tickets worth at least $90. The price of a child ticket is $8, and the price of an adult ticket is $1
alina1380 [7]

Answer:

The second graph is correct, that the line intersects x at 6 and y at 11.5

Step-by-step explanation:

Samuel has to sell at least $90 for his concert. According to the graph, if Samuel sells only child ticket, he will have to sell 11.5 tickets.

If Samuel sells only adult tickets, he will have to sell at least 6.

The correct graph is the second one, that the line intersects x at 6 and y at 11.5

4 0
3 years ago
Honors Geometry QUiz- Please Help
viktelen [127]

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.

5 0
3 years ago
With a rectangle length of 309 cm.and width of 249cmdoes it have the perimeter of 1500 cm?
horsena [70]
1116 is the perimeter it has. The formula for perimeter is 2l+2w=p
so when you plug the numbers in you get 2(309)+2(249)=1116. So it does not have a perimeter of 1500 cm.
7 0
3 years ago
Write the ratio for sin A and cos A. The triangle is not drawn to scale.
Zolol [24]

Option A:

$ \sin A= \frac{14}{50}, \ \cos A= \frac{48}{50}

Solution:

Given data:

AB = 50, BC = 48, AC = 14

To find the value of sin A and cos A:

$\sin A= \frac{Opposite \ side}{Hypotenuse}

$\sin A= \frac{AC}{AB}

$\sin A= \frac{14}{50}

$\cos A= \frac{Adjacent \ side}{Hypotenuse}

$\cos A= \frac{BC}{AB}

$\cos A= \frac{48}{50}

$\therefore \  \sin A= \frac{14}{50}, \ \cos A= \frac{48}{50}

Hence option A is the correct answer.

7 0
3 years ago
Find the area enclosed by y=3, the x-axis and ordinates x=0 and x=4 ​
anygoal [31]

Answer:

A=6

Step-by-step explanation:

If the area is enclosed by x(0,4) and y(3)

That means the area is a triangle

h(height) =3 b=4 c**2=a**2+b**2 c=5

The area of an equlateral triangle is A=h*b/2

A=3*4/2=12/2

3 0
3 years ago
Read 2 more answers
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