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3 years ago

(02.02)A rotation is shown in the drawing:

Mathematics

2 answers:

Sergio [31]3 years ago

8 0

Answer:

B. Clockwise 270-degree rotation

frez [133]3 years ago

4 0

Answer:

B) Clockwise 270-degree rotation

Step-by-step explanation:

Clockwise motion is in the same direction as a clock's hands: from the top to the right, then down and then to the left, and back up to the top. The opposite motion is counterclockwise.

From inspection of the diagram, we can see that the curved dotted line (which shows the direction of motion) is suggesting a clockwise motion.

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Find an nth-degree polynomial function<br> n= 3;<br> - 2 and 6 + 2 i are zeros;<br> f(-1)= 53

Bas_tet [7]

Answer:

Find an nth-degree polynomial function.

Step-by-step explanation:

n= 3;

- 2 and 6 + 2 i are zeros;

f(-1)= 53

8 0

3 years ago

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

3 years ago

d(t)=750t/(t+12) where t is the age in years and d is the dosage. what is an expression for the rate of change of a child's dosa

Maksim231197 [3]

This just wants the derivative which you can solve for.
You can do this using a negative expononet or using ...the rational rule forget its name*.... you shoudl get 9000/(t+12)^2

*Quotient rule

3 0

3 years ago

For a standard normal distribution, find the approximate value of P(-0.78 = z = 1.16). Use the portion of the standard normal ta

VikaD [51]

Correction:

I think the question should be like that find the approximate value of

P(-0.78 < z < 1.16)?

Now,

the symbol Ф represent the cumulative density.

first find the

Ф(1.16) from the above given table which is equal to 0.8770.

Now,

find the Ф(-0.78) .

in our table we are given the value of Ф(0.78)=0.7823

so as the curve is symmetrical Ф(-0.78)=1-0.7823=0.2177

P(-0.78 < z < 1.16) = Ф(1.16)-Ф(-0.78)

= 0.8770-0.2177

= 0.6593

6 0

3 years ago

Read 2 more answers

Tell whether the angles are complementary or supplementary. Then find the value of x.

Paha777 [63]

The angles are complementary meaning they =90 degrees.

So take (x-20) and x, and write this equation,

x-20+x=90

2x-20=90

move the 20 over

2x-20=90
+20 +20

2x=110

x=55.

You can check it by plugging it back in,

(55-20)=35
and
x=55

35+55=90.

Thus, you know your answer is correct.

8 0

3 years ago