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3 years ago

4) Calculate the exact circumference of OP 5 cm P 12 cm

Mathematics

2 answers:

kodGreya [7K]3 years ago

6 0

12 + 5 = P + 360° - (90° x 2)

17 = 360°P - 180°

17 = 180° => P = 180° - 90° = 90° => P - 5 = P + (5 + 12) => P = 14 in <90 5 CM Angle, P = 14 - 1 = 13 without offset

ludmilkaskok [199]3 years ago

3 0

Answer:

40.84

Step-by-step explanation:

5cm^2 +25cm^2=169

sqaure root of 169 =13

13= diameter

6.5= radius

2 pie r = circumference

6.5x2 pie = 40.84

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William scored 24.5 points out of 30 on his math assignment. His teacher subtracted 5 points for being late. How many points is

Svetradugi [14.3K]

Answer:

William was 0.5 points away from a perfect score.

Step-by-step explanation:

If the teacher didn't subtract 5 points, he would have 24.5 + 5 = 29.5 points.

30 - 29.5 = 0.5

William was 0.5 points away from a perfect score.

8 0

3 years ago

A pizza chef begins to spin a constant volume of dough to make a pie by spinning and tossing the dough into the air, such that t

Alexxandr [17]

Answer:

a ) dAt/dt = 50,24 in/min

dh/dt = - 0,125 in/min

Step-by-step explanation:

The area of the top is At :

At = π*r²

a) Tacking derivatives with respect to time:

dAt/dt = 2* π*r * dr/dt

At t = t₁ r = 16 in and dr/dt = 0,5

Then

dAt/dt = 2*3,14*16*0,5 in/min

a ) dAt/dt = 50,24 in/min

b) The volume of the cylinder is:

Vc = π*r²*h ( where h is the heigh of the cylinder )

Tacking derivatives with respect to time

dVc/dt = 2* π*r*h*dr/dt + π*r²*dh/dt

But dVc/dt = 0 since the volume remains constant, then:

π*r²*dh/dt = - 2* π*r*h*dr/dt

r*dh/dt = - 2*h*dr/dt

dh/dt = - 2*0,5*2/16 in/min

dh/dt = - 0,125 in/min

4 0

3 years ago

The line passes through (9,8) and is perpendicular to x-2y=-16

pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

$x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\$

The equation is in slope-intercept form, the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

$\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2$

Slope intercept form is:

$y=mx+b$

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

$8=-2(9)+b\\8=-18+b\\b=8+18\\b=26$

Putting the values of b and m

$y=-2x+26$

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

4 0

3 years ago

Is this all correct?

Doss [256]

Answer:

Step-by-step explanation:

11. Correct

11a. a is the number of accessories bought

12. 32 = 3.5a + 25

7 = 3.5a

a = 2

12a. cost of the bear

13. correct

13a. f(-1)=8

3 0

3 years ago

Pretty sure its 8 but i just wanna be sure...

Agata [3.3K]

Answer:

Yup i'm pretty sure its 8 :D

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers