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3 years ago

Hello everyone! Can someone please help me, I don`t understand....

Mathematics

1 answer:

hichkok12 [17]3 years ago

3 0

Answer:

Step-by-step explanation:

You have to find the slope

Slope= y₂ - y₁ / x₂-x₁

A(3, -3), B(2, 1)

Slope of AB m₁ = 1-[-3] / 2-3 = 1+3 / -1 = 4/-1 = -4

B(2, 1) ; C(7, -2)

slope of BC m₂= -2-1 / 7-2 = -3/5

A(3, -3) ; C(7, -2)

Slope of AC m₃ = -2-[-3] / 7-3 = -2+3 / 4 = 1/4

m₁ * m₃ = -4 * (1/4) = -4/4 = -1

When the product of slope is (-1), then two lines are perpendicular.

So AB and AC are perpendicular. Δ ABC is a right-angled triangle

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A crew ship has 148 rooms with fifty on each of the two upper decks and the rest on the two lower decks.An upper deck room cost

AURORKA [14]

I'm not sure what your four step plan is, but here is how I would solve it:

50 rooms on each upper deck x 2 decks = 100 rooms

100 rooms x 1000 per room = 100,000

That leaves 48 rooms on the 2 lower decks, so 48/2=24 rooms per lower deck

48 rooms x 900 per room = 43,200

100,000 + 43,200 = $143,200 (maximum room sales amount)

Hope this helps!! :)

4 0

4 years ago

How can you tell if a number can be divided by 10?

Lisa [10]

Answer:

if a number end's with zero then it is divisible by zero.

3 0

3 years ago

Quadrilateral PQRS is a square whos side length is 10. Let X and Y be points outside the square so that XQ = YS = 6 and XP = YR

erik [133]

Answer:

392

Step-by-step explanation:

Triangles XQP and YRS are right triangles because triples 6, 8, 10 are Pythagorean triples.

Extend lines XQ, YR, YS and XP and mark their intersection as A and B.

Quadrilateral XAYB is a square because all right triangles PXQ, QAR, RYS and SBP are congruent (by ASA postulate) and therefore

all angles of the quadrilateral XAYB are right angles

all sides of XAYB are congruent and equal to 6 + 8 = 14 units.

Segment XY is the diagonal of the square XAYB, by Pythagorean theorem,

$XY^2=XA^2+AY^2\\ \\XY^2=14^2+14^2\\ \\XY^2=196+196\\ \\XY^2=392$

3 0

3 years ago

How do I find the missing side for question 39

lana66690 [7]

Hello from MrBillDoesMath!

Answer:

#39 6.1 (approx)

$41 14.6 (approx)

Discussion:

# 39

From plane trigonometry

cos(69) = x/17 or

x = 17 * cos(69) = 6.1 (approx)

#41

sin(59) = x/17 or

x = 17 * sin(59) = 14.6 (approx)

Regards,

MrB

6 0

4 years ago

b. Suppose 20% of all balls produced by a particular manufacturer are less than 1.680 inches in diameter, and assume that the

zhannawk [14.2K]

Answer: Mean = 4.8

Standard deviation = 1.96

Step-by-step explanation:

The mean and standard deviation of the binomial distribution is given by :-

$\mu=np\\\sigma=\sqrt{np(1-p)}$ , where n is the total number of trials , p is the the probability of success.

Given : The probability that the produced by a particular manufacturer are less than 1.680 inches in diameter = 20%=0.2

Sample size : n=24 [since 1 dozen = 12]

Now, the mean and standard deviation of the binomial distribution is given by :-

$\mu=24\times0.2=4.8\\\\\sigma=\sqrt{24(0.2)(1-0.2)}\\\\=1.95959179423\approx1.96$

5 0

3 years ago