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3 years ago

What table is proportional

Mathematics

1 answer:

musickatia [10]3 years ago

5 0

Answer:

Step-by-step explanation:

x is 2 times as y is the pattern

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PLEASE HELP WILL MARK BRAINLIEST

Kipish [7]

Answer:

Step-by-step explanation:

x^2 = 64

√x² = √64

x = 8, -8

answer is B

5 0

3 years ago

The area of a right triangle is sixty square centimetres. Its base is one centimetre less than twice its height. If the base and

NemiM [27]

Answer:

5. None of the above

Step-by-step explanation:

We have this information:

A = 60 cm2

b = 2*h - 1

Let's find out b and h:

The equation of the are of a triangle is A = (b*h)/2, if we replace it with our information, we have

$60 = ((2*h - 1) * h)/2\\ 120 = 2*h^2 - h\\ 0 = 2*h^2 - h - 120$

Let's find h with the quadratic formula:

$\fbox {Quadratic formula:} \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$h = \frac{-(-1)\pm\sqrt{(-1)^2-4*2*(-120)}}{2*2} = \frac{1\pm\sqrt{961}}{4} = \frac{1\pm\ 31}{4}$

h = 8 or h = -7.5

But h represents the height of the triangle, so it has to be a positive number, that's h = 8.

If we replace this in the equation we had for b, we have that b = 2*8 - 1 = 15.

Now we can calculate the hypotenuse with the Pythagorean equation

$\fbox {Pythagorean equation:}$ The square of the length of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the two legs (the two sides that meet at a right angle).

The base and the height are our legs. We will use "H" for the hypotenuse

$H^2 = b^2 + h^2 = 15^2 + 8^2 = 289\\ H = \sqrt {289} = 17$

H = 17

If we decrease the base and the height by 2 centimeters, we have

b' = 15 - 2 = 13 and h' = 8 - 2 = 6

With this, let's calculate the new hypotenuse:

$H'^2 = b'^2 + h'^2 = 13^2 + 6^2 = 205\\ H' = \sqrt {205} \approx 14.3$

$H' \approx 14.3$

So, the hypotenuse decreases $H - H' \approx 17 - 14.3 = 2.7$

3 0

3 years ago

The equations y = (- 16t - 2)(t - 1) and y = - 16t ^ 2 + 14t + 2 represent the height in feet of a beach ball thrown by a child

KatRina [158]

Answer:

0.4375secs

Step-by-step explanation:

Given the height of the beach ball in feet expressed as;

y = -16t^2+14t+2 as the height that represents the height of the ball, we can look for the time taken by the ball to reach its maximum height

At the max height, the velocity is zero i.e dt/dt = 0

dy/dt = -32t + 14

0 = -32t + 14

32t = 14

t = 14/32

t = 0.4375secs

Hence it took the ball 0.4375secs to reach its maximum height

5 0

3 years ago

What vocabulary term means each group of 3 digits separated by commas in a multi digit number

Len [333]

Answer:

the answer is a period

Step-by-step explanation:

7 0

4 years ago

Please help me this is so confusing to me.

Naddik [55]

Hi there! :)

$\large\boxed{A = 120^{o}}$

Find the central angle using a ratio in regards to angle and circumference.

The radius is 27 units, so use the following equation to calculate circumference:

C = 2rπ

Therefore:

C = 2(27)π = 54π

Since we have the total circumference, we can write the following proportion:

$\frac{x}{360} = \frac{18\pi}{54\pi}$

Cross multiply:

54πx = 6480π

Divide both sides by 54π to isolate for x:

x = 120°

8 0

3 years ago