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2 years ago

WILL MARK BRAINLIEST FIRST CORRCET ANSWER

Mathematics

1 answer:

Kazeer [188]2 years ago

4 0

The Venn diagram of each situation is a diagrammatic way of representing what the situation stands for

<h3>How to make the Venn diagrams?</h3>

Diagram 1: A ∩ B ∩ C

This means that we shade all intersection points of the sets A, B and C

Diagram 2: (A ∩ B) ∪ C

This means that we shade the intersection points of the sets A and B and the whole of set C

Diagram 3: A ∩ (B ∪ C)

This means that we shade the where the set A intersects with the whole of sets B and C

Diagram 4: (A ∩ B) \ C

This means that we shade the intersection point of the sets A and B without shading any point on set C

Diagram 5: (A\B) ∪ (B\C) ∪ (A\C)

This means that we shade all set A without set B, all set B without set C and all set A without set C. In other words, we shade everything in the set without shading set C

See attachment for the diagrams

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The function H(t) = −16t2 + 75t + 25 shows the height H(t), in feet, of a baseball after t seconds. Part A: After how many secon

nlexa [21]

Step-by-step explanation:

Given that,

The function that shows the height of a baseball after t seconds is given by :

$H(t)=-16t^2+75t+25$ ....(1)

Part (A).

When the baseball hits the ground,

H(t) = 0

So,

$-16t^2+75t+25=0\\\\t=5\ s\ and\ t=-0.31\ s$

After 5 seconds the baseball will hit the ground.

Pat (B)

For maximum height, put dH/dt = 0

So,

$\dfrac{d}{dt}(-16t^2+75t+25)=0\\\\-32t+75=0\\\\t=2.34\ s$

Put t = 2.34 s in equation (1).

$H(t)=-16(2.34)^2+75(2.34)+25\\\\H(t)=112.89\ m$

Hence, this is the required solution.

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3 years ago

How to get beter at maths

Jet001 [13]

Try to understand the problem and take everything step by step

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3 years ago

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Which number line shows the solutions to n < -3? Ples help

kenny6666 [7]

last one. because we don't have equality sign and it can't be the third one

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2 years ago

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Helppp please and tyyyy

DanielleElmas [232]

Answer:

I am pretty sure its B but i dont know for sure

Step-by-step explanation:

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2 years ago

A goat enclosure is in the shape of a right triangle. One leg of the enclosure is built against the side of the barn. The other

Sonbull [250]

Answer:

The lengths are

8 + 8[root]3 , 12 + 8[root]3 and 20 + 8[root]3.

Step-by-step explanation:

Let the side against the barn be xft

We were told that the adjacent side is 4ft more than the side against the barn. This means it has a length of (x + 4)ft.

Lastly, we are told that the hypotenuse is 8ft longer than the side along the barn I.e (x + 4 + 8)ft = ( x + 12)ft.

Since the three lengths form a triangle, the square of the hypotenuse equals the square of the adjacent side plus the square of the opposite side. This is the pythagoras' theorem.

Mathematically, this can be written as follows:

(x + 12)^2 = x^2 + (x + 4)^2

This yields x^2 + 24x + 144 = x^2 + x^2 + 8x + 16

x^2 + 24x + 144 = 2x^2 + 8x + 16

Rearranging this will yield:

x^2 - 16x - 128 = 0

Using the quadratic formula yields the following values for x :

8 - 8[root]3 and 8 + 8[root 3]

Since the first is negative, we discard it and the only correct value of x is 8 + 8[root]3

Now the other length is 12 + 8[root]3 and 20 + 8[root]3.

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3 years ago

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