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AysviL [449]
2 years ago
12

Triangle A has side lengths 3, 4, and 5. Triangle B has side lengths 6, 7, and 8.

Mathematics
1 answer:
cricket20 [7]2 years ago
5 0

Answer:

C

Step-by-step explanation:

Simplify 9, 12, and 15 by dividing each by 3, in which it equals to 3, 4, 5. the side lengths 9, 12, 15 are the dilated version of 3, 4, 5. I hope this helps!!

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Keegan is priting and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total p
Damm [24]

Complete question is;

Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total profits will be p(x) = -x³ + 4x² + x dollars, in thousands will be earned. How many t-shirts (rounded to the nearest whole number) should he print in order to make maximum profits? What will his profits rounded to the nearest whole dollar be if he prints that number of shirts?

Answer:

Number of t-shirts to make maximum profit = 2790 shirts

Maximum profit = $12,209

Step-by-step explanation:

From the question, we are given that the profit function is;

p(x) = -x³ + 4x² + x

For the maximum value of the profit function,

(dp/dx) = 0 and (d²p/dx²) < 0

Since, p(x) = -x³ + 4x² + x

Then,

(dp/dx) = -3x² + 8x + 1

at maximum point (dp/dx) = 0, thus;

-3x² + 8x + 1 = 0

Solving this using quadratic formula, the roots are;

x = -0.12 or 2.79

Also, (d²p/dx²) = -6x + 8

Now, let's put the roots of x into -6x + 8 and check for maximum value conditon;

at x = -0.12

(d²p/dx²) = -6(0.12) + 8 = 7.28 > 0

At x = 2.79

(d²p/dx²) = -6(2.79) + 8 = -8.74 < 0

Maximum has to be d²p/dx² < 0

So, the one that meets the condition is -8.74 < 0 at x = 2.79

Thus, the maximum of the profit function exists when the number of shirts, x = 2.79 (in thousands) = 2790

Now, the maximum profits that corresponds to this number of t-shirts of 2.79(in thousands) is obtained by putting 2.79 for x in the profit function;

So,

p(2.79) = -(2.79)³ + 4(2.79²) + 2.79

p(x) = -21.7176 + 31.1364 + 2.79

p(x) = 12.2088 (in thousand dollars) ≈ $12,209

6 0
2 years ago
Mr. K's math class is 1 {1}{4} hours long. After working problems on the board for 55 minutes {11}{12}hour), he gave the student
mel-nik [20]

The number of hours that students have to work on homework will be 1/3 hours.

<h3>What is subtraction?</h3>

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Mr. K's maths class is 1 and 1/4 hours long.

After working problems on the board for 55 minutes  or 11 / 12 hour.

He gave the students the rest of the class period to work on homework.

Then the number of hours that students have to work on homework will be

⇒ 1 + 1/4 - 11/12

⇒ 5 / 4 - 11/ 12

⇒ (15 - 11) / 12

⇒ 4/12

⇒ 1/3 hours

More about the subtraction link is given below.

brainly.com/question/4319655

#SPJ1

4 0
2 years ago
What is the value of cos theta given that (- 5, - 4) is a point on the terminal side of theta ?
Arte-miy333 [17]

Answer:I believe it's -5√41/41

Step-by-step explanation:

5 0
3 years ago
Elaine is 8 years younger than her brother Tyler. The sum of their ages is 34. What are Elaine's and Tyler's age?
antoniya [11.8K]
<span>Here, Elaine = Tyler + (-8)

</span>⇒ E<span>laine + 0 + Tyler + 0 = 34
</span>⇒ T<span>yler + (-8) + 0 + Tyler + 0 = 34

And, Tyler = [(34 - (0) - (-8)] / 2

Thus, Tyler = 21
And, Elaine = 21 + (-8)
                   =13

</span>∴ T<span>yler = 21 & Elaine = 13


Regards

#Exotic Explorer</span>
4 0
3 years ago
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What is the lateral surface area of a cube with side length 9 cm?
IceJOKER [234]
a=9cm\\\\surface\ area:A_S=6a^2\to A_S=6\cdot9^2=6\cdot81=486\ (cm^2)
7 0
3 years ago
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