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valentinak56 [21]
2 years ago
9

Consider the right triangle below. A right triangle with a hypotenuse with length 6.5 feet, and side lengths of 2.5 feet and 6 f

eet. What is the perimeter and area of the given triangle
Mathematics
1 answer:
anyanavicka [17]2 years ago
3 0

Step-by-step explanation:

the perimeter is the easiest, really. we only need to add all side lengths. there is nothing else to the perimeter calculation.

so,

perimeter = 6.5 + 2.5 + 6 = 9 + 6 = 15 ft.

area is also relatively easy for right-angled triangles, because the sides that enclose the 90° angle, act also as height of the triangle to each other.

so, it is a half-rectangle, and we only need to multiply these 2 sides (not including the Hypotenuse) and divide this by 2.

area = 6×2.5/2 = 3×2.5 = 7.5 ft²

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Consider the linear equation 2x - 3y = -12 graph the points
levacccp [35]

The graph of linear equation 2x - 3y = -12 is as shown below.

I this question, we have been given a linear equation 2x - 3y = -12

We need to graph the points.

For x = 1,

2(1) - 3y = -12

2 - 3y = -12

-3y = -14

y = 14/3

For x = 0,

2(0) - 3y = -12

y = (-12)/(-3)

y = 4

For x = -1,

2(-1) - 3y = -12

-3y = -12 + 2

y = (-10) / (-3)

y = 10/3

So, we get coordinates (1, 14/3), (0, 4) and (-1, 10/3)

Now we plot these points.

The graph of linear equation 2x - 3y = -12 is as shown below.

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4 0
1 year ago
The difference of two numbers is 120 and thier product is 3600 find them?
maksim [4K]

Answer:

(144.8100,24.8128) (x,y)

7 0
3 years ago
PLS PLS HELP FIND THE VOLUME!!! PLS PLS I GIVE U ALL MY POINTS
ICE Princess25 [194]

Answer:

1232

Step-by-step explanation:

Step 1: 8x14 to find the base

Step 2: Base times Height

Good Luck! And have a great day!

5 0
3 years ago
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Amy is solving the equation using the steps shown.
Delicious77 [7]

The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.

The equation is given as:

\mathbf{(x^2 - 16)(x + 2) = 0}

The possible next steps are:

1. Expand the equation as follows

\mathbf{x^3+2x^2-16x-32 = 0}

2. Express x^2 -16 as a difference of two squares as follows

\mathbf{(x + 4)(x- 4)(x + 2) = 0}

However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give \mathbf{(x + 4)(x- 4)(x + 2) = 0}

This is so, because the question says Amy is trying to solve for variable x.

This step will ensure that she gets the possible values of x, unlike expanding the whole equation .

Hence, the correct next step is \mathbf{(x + 4)(x- 4)(x + 2) = 0}

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7 0
2 years ago
A certain radioactive material decays in such a way that the mass in kilograms remaining after t years is given by the function
Angelina_Jolie [31]

The mass of radioactive material remaining after 50 years would be 48.79 kilograms

<h3>How to determine the amount</h3>

It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.

Given the radioactive decay formula as

m(t)=120e−0.018t

Where

t= 50 years

m(t) is the remaining amount

Substitute the value of t

m(t) = 120e^-^0^.^0^1^8^(^5^0^)

m(t) = 120e^-^0^.^9

Find the exponential value

m(t) = 48.788399

m(t) = 48.79 kilograms to 2 decimal places

Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms

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7 0
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