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3 years ago

Please help me with these rotation problem.

Mathematics

1 answer:

FrozenT [24]3 years ago

3 0

Answer:

see below

Step-by-step explanation:

In the attachment, the points are listed in the order given in the problem statement. (They are listed to the right of the "rotation matrix", with x-coordinates above y-coordinates.)

I really don't like to do repetitive calculations, so I try to use a graphing calculator or spreadsheet whenever possible. Angles are measured CCW.

As always, the rotation transformations are ...

180° — (x, y) ⇒ (-x, -y)

270° — (x, y) ⇒ (y, -x)

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Tutorial Exercise A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due

ANTONII [103]

Answer:

Both the boats will closet together at 2:21:36 pm.

Step-by-step explanation:

Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).

Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),

Formula : d=v*t

at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)

the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)

Formula : D= $\sqrt{(x2-x1)^2+(y2-y1)^2}$

⇒ $D = \sqrt{20^2t^2+15(t-1)^2}$

Now let $F(t) = D^2(t)$

∵ $F'(t) = 800t + 450(t-1) = 1250t -450\\F'(t) =0$

⇒ t= 450/1250

⇒ t= .36 hours

⇒ = 21 min 36 sec

Since F"(t)=0,

∴ This time gives us a minimum.

Thus, The two boats will closet together at 2:21:36 pm.

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3 years ago

If you have 5 blue marbles, 8 yellow marbles, and 2 green marbles. What is the probability of pulling a yellow marble?

Anika [276]

Add all them up. 5+8+2 = 15

How many yellows? 8/15 = 0.533 ~~ 53%

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2 years ago

Read 2 more answers

Find the slope of the line (18,0)(10,-5)

Leya [2.2K]

Answer:

$m=\frac{5}{8}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (18, 0)

Point (10, -5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]: $m=\frac{-5-0}{10-18}$
Subtract: $m=\frac{-5}{-8}$
Simplify: $m=\frac{5}{8}$

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2 years ago

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You answer 12 emails in 15 minutes. How many emails can you answer in 2 hours?

Marysya12 [62]

Answer:

Step-by-step explanation:

you divide 60 min by 15 to get 4 then u multiply 12 × 4 =48 then multiply 48 × 2=96

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3 years ago

How are percent transmittance and absorbance related algebraically?

statuscvo [17]

Answer:

So, if all the light passes through a solution without any absorption, then absorbance is zero, and percent transmittance is 100%. If all the light is absorbed, then percent transmittance is zero, and absorption is infinite.

Absorbance is the inverse of transmittance so,

A = 1/T

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A ∝ b · c

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% Transmittance, $\%T=100\times T$

Absorbance,

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Hence, $A=\log_{10}\times \dfrac{1}{T}$ is the algebraic relation between absorbance and transmittance.

8 0

3 years ago

Please help me with these rotation problem.​

Please help me with these rotation problem.