MATHEMATICS COLLEGE

Pls helpp pls pls pls

Answers

Answer 1

Answer:

Answer: 16^2 + 12^2

Step-by-step explanation:

20^2 = 400

16 x 16 = 256

12 x 12 = 144

256 + 144 = 400

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Convert 3,A5D Base 16 to Base 10

Answers

Answer:

14941.

Step-by-step explanation:

In base 16 we have that :

A=10, B=11, C=12, D=13, E=14, F=15 and the process of change is:

3: $3*16^(0)= 3$

A5D= $10*16^(2)+5*16^(1)+13*16^(0)= 2560+80+13=2653.$

3A5D = $3*16^(3)+10*16^(2)+5*16^(1)+13*16^(0)= 12288+2560+80+13=14941.$

Ages of patients (in years) in a clinic: 19, 8, 21, 19 (round to the nearest whole ).

Answers

I'm guessing you're looking for the mean or average? That would be the sum of all the ages divided by the numbers of people
So:
19+8+21+19=67
Divided by 4
67/4= 16.75
Rounded up you get 17

Evaluate the given integral by changing to polar coordinates. sin(x2 y2) dA R , where R is the region in the first quadrant between the circles with center the origin and radii 2 and 4

Answers

Answer:

I = 1.47001

Step-by-step explanation:

we have the function

$f(x,y)=sin(x^2y^2)\n$

In polar coordinates we have

$x=rcos\theta\ny=rsin\theta$

and dA is given by

$dA=rdrd\theta$

Hence, the integral that we have to solve is

$I=\int \limt_2^4 \int \limit_0^(\pi /2)sin(r^4cos^2\theta sin^2\theta)rdrd\theta$

This integral can be solved in a convenient program of your choice (it is very difficult to solve in an analytical way, I use Wolfram Alpha on line)

I = 1.47001

Hope this helps!!!

I need help plz plz plz help me ASAP. And SHOW YOUR WORK

Answers

r= 8

C= 2,5•r+15
C= 2,5•8+15
C= 20+15
C= 35

Nina's total cost will be 35 $, £, € (i don't know which of them)

Answer:

The cost of the wristband for 8 rides is $35.

Step-by-step explanation:

The expression for the cost, C, for r rides is

C = 2.5r + 15

Since she wants to go on 8 rides, r is 8.

Substitute r with 8 in the cost equation and evaluate it.

C = 2.5r + 15

C = 2.5 * 8 + 15

C = 20 + 15

C = 35

The cost of the wristband for 8 rides is $35.

CE is an angle bisector of angle ACB.If m angle ACE = 2x - 15 and m angle ECB = x +5,
determine the value of x.

Answers

The value of x from the angle bisector is: x = 20

How to find the value of the angle bisector?

Angle bisector theorem is a theorem in geometry that states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle. An angle bisector is a ray that divides a given angle into two angles of equal measures.

Thus, we can say that:

∠ECB = ∠ACE

Thus:

x + 5 = 2x - 15

2x - x = 15 + 5

x = 20

Read more about angle bisector at: brainly.com/question/24334771

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Answer:

x = 20

Step-by-step explanation:

$\because \overrightarrow {CE}$ is an angle bisector of $\angle ACB.$