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3 years ago

A pump takes 12 minutes to add 3000 litres of water to a pond.

Mathematics

1 answer:

Nookie1986 [14]3 years ago

4 0

Answer:

Mam I can speek

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A secant and a tangent to a circle intersect in a 42-degree angle. The two arcs of the circle intercepted by the secant and the

Amanda [17]

Answer:

The measure of the third arc is $150\°$

Step-by-step explanation:

step 1

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

in this problem

Let

x----> the greater arc of the circle intercepted by the secant and the tangent

y----> the smaller arc of the circle intercepted by the secant and the tangent

$42\°=\frac{1}{2}(x-y)$

$84\°=(x-y)$ ----> equation A

$\frac{x}{y}=\frac{7}{3}$

$x=\frac{7}{3}y$ -----> equation B

Substitute equation B in equation A and solve for y

$84\°=(\frac{7}{3}y-y)$

$84\°=(\frac{4}{3}y)$

$y=3*84\°/4=63\°$

Find the value of x

$x=\frac{7}{3}(63\°)=147\°$

step 2

Find the measure of the third arc

Let

z------> the measure of the third arc

we know that

$x+y+z=360\°$ -----> complete circle

substitute the values and solve for z

$147\°+63\°+z=360\°$

$z=360\°-(147\°+63\°)=150\°$

3 0

2 years ago

17h +1= [3h-7| for h.

OlgaM077 [116]

Good evening

6 0

3 years ago

Fill in the missing fraction or mixed number __ + 1/4 = 5/8

gogolik [260]

3/8=answer

1) 5/8-1/4=

2) (5•4)-(1•8)=

8•4

3) 20-8

32 =

4) 12

32=

5) 12/4

32/4=

6) 3

8 =answer

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2 years ago

Solve: A = 4pir2 for r.

Airida [17]

r means radius so it can't be negative.

<=>

A = 4 pi r²

r = sqr (A / 4pi)

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2 years ago

I really wish I knew

Yanka [14]

-27 x -2 = 54
The answer would be the square root of 54

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3 years ago