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3 years ago

A function is graphed on the coordinate plane.

Mathematics

1 answer:

natta225 [31]3 years ago

3 0

Answer: It assigns exactly one output to each input

Step-by-step explanation: A linear function has exactly one output to each input.

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Please help!!!Water flows through a pipe at a rate of 620 gallons every 5.5 minutes. Express this rate of flow in cups per secon

cestrela7 [59]

Answer:

30 cups/second

Step-by-step explanation:

620 gallons = 9,920 cups

5.5 minutes = 330 seconds

9,920/330 = ~30

7 0

3 years ago

A vertical lamppost of height 6 m is at P When Sam stands at the point A. the shadow formed is 2.1 m long. When Sam stands at th

Damm [24]

Step-by-step explanation:

triangle ADA' and OPA' are similar so, using property of similar triangles :

6/AD = (13.3+3.6-PB'+2.1)/2.1

{A'P = 13.3 +3.6 - PB' + 2.1}

6/AD = (16.9-PB'+2.1)/2.1

6/AD = (19-PB')/2.1 - EQN I

As we know, AD = BC as both of them are Sam's height (constant)

triangle OPB' and BCB' are similar so, using property of similar triangles:

6/BC = PB'/3.6

OR, 6/AD = PB'/3.6 (AD = BC) - EQN II

Now,

comparing EQN I AND II we get :

(19-PB')/2.1 = PB'/3.6

or, 68.4 - 3.6PB' = 2.1PB'

or, 68.4 = 5.7PB'

so, PB' = 12 m

Now, as we know,

6/BC = PB'/3.6

OR, 6/BC = 12/3.6

OR, (6×3.6)/12 = BC

So, the height of Sam is 1.8 m.

tanA' = AD/AA'

<A' = tan‐¹(1.8/2.1)

<B' = tan‐¹(1.8/3.6)

Now,

<A'OB' = 180 - tan‐¹(1.8/2.1) - tan‐¹(1.8/3.6)

<A'OB' = 112.833

7 0

2 years ago

A volleyball uniform costs $13 for the shirt, $11 for pants, and $8 for socks. Write two

alexdok [17]

13^12 + 11^12 + 8^12 = 384 It will cost 384 dollars for all 12 uniforms

5 0

4 years ago

Read 2 more answers

What is the area of the composite figure?

natulia [17]

Answer: 100 cm2

Step-by-step explanation:

Hi, to answer this question we have to decompose the figure in to a triangle and a rectangle (see attachment)

Area of a rectangle: base x height

A (R)= 14 x 5 = 70 cm2

Area of a triangle: 1/2 x base x height

Analyzing the figure, the base of the triangle is equal to 14-2 =12 cm.

A (T) =1/2 x 12 x 5 = 30 cm2

Adding both areas: 70+30 = 100 cm2

Feel free to ask for more if needed or if you did not understand something.

3 0

3 years ago

Is (2, 4) a solution to the system<br> y = 2x<br> x + y = 6

posledela

Answer:

yes you plug the numbers in

5 0

3 years ago