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Marrrta [24]
3 years ago
7

Price per shirt: $5, $10, $15, $20, $25

Mathematics
1 answer:
I am Lyosha [343]3 years ago
4 0
I think you have to notice the pattern first. For every number of t-shirt sales, the cost is half of that. So, I think the expected number of t-shirt sales would be 60 for $30.
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The figure shows the dimensions of the side panel of a skateboard ramp.
Helen [10]

Answer:

A=28.7\ ft^{2}

Step-by-step explanation:

we know that

The formula to calculate the area of a triangle applying the law of sines is equal to

A=\frac{1}{2}(a)(b)sin(C)

we have

a=14\ ft

b=12\ ft

C=20\°

substitute in the formula

A=\frac{1}{2}(14)(12)sin(20\°)

A=28.7\ ft^{2}

7 0
3 years ago
Dwayne is 4 years older than Sarah. In 7 years the sum of their ages will be 48 . How old is Dwayne now?
zalisa [80]

Answer: 37

Step-by-step explanation: If you start your math by taking 48 and subtracting 7 you will get 41, this question says it the sum of both ages will be 48 in 7 years so subtract those to get 48. After, you can subtract 4 from 41 since that is just the sum of both ages, you take 41 and minus 4, your answer is 37 (sorry if its wrong but I think its most likely going to be correct)

5 0
1 year ago
Consider the points A(5, 3t+2, 2), B(1, 3t, 2), and C(1, 4t, 3). Find the angle ∠ABC given that the dot product of the vectors B
Vilka [71]

Answer:

66.42°

Step-by-step explanation:

<u>Given:</u>

A(5, 3t+2, 2)

B(1, 3t, 2)

C(1, 4t, 3)

BA • BC = 4

Step 1: Find t.

First we have to find vectors BA and BC. We do that by subtracting the coordinates of the initial point from the coordinates of the terminal point.

In vector BA B is the initial point and A is the terminal point.

BA = OA - OB = (5-1, 3t+2-3t, 2-2) = (4, 2, 0)

BC = OC - OB = (1-1, 4t-3t, 3-2) = (0, t, 1)

Now we can find t because we know that BA • BC = 4

BA • BC = 4

To find dot product we calculate the sum of the produts of the corresponding components.

BA • BC = (4)(0) + (2)(t) + (0)(1)

4 = (4)(0) + (2)(t) + (0)(1)

4 = 0 + 2t + 0

4 = 2t

2 = t

t = 2

Now we know that:

BA = (4, 2, 0)

BC = (0, 2, 1)

Step 2: Find the angle ∠ABC.

Dot product: a • b = |a| |b| cos(angle)

BA • BC = 4

|BA| |BC| cos(angle) = 4

To get magnitudes we square each compoment of the vector and sum them together. Then square root.

|BA| = \sqrt{4^2 + 2^2 + 0^2} = \sqrt{20} = 2\sqrt{5}

|BC| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}

2\sqrt{5}\sqrt{5}\cos{(m\angle{ABC})} = 4

10\cos{(m\angle{ABC})} = 4

\cos(m\angle{ABC}) = \frac{4}{10}=\frac{2}{5}

m\angle{ABC} = cos^{-1}{(\frac{2}{5})}

m\angle{ABC} = 66.4218^{\circ}

Rounded to two decimal places:

m\angle{ABC} = 66.42^\circ

3 0
2 years ago
Can anyone solve this for me???
Elena-2011 [213]

Answer:

Step-by-step explanation:

It x

5 0
3 years ago
A tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a total of
Elan Coil [88]

The answer is 1.C 2.$500

3 0
3 years ago
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