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Slav-nsk [51]
3 years ago
15

Answer the two questions! i’ll give brainliest

Mathematics
1 answer:
MrRa [10]3 years ago
8 0

Answer:

<em>| In Terms of Pi π | </em>

<em>V = 6000 π m3</em>

<em>-----------------------</em>

<em>or</em>

<em>V = 18840 m3</em>

<em>-----------------------</em>

<em>| In Terms of Pi π | </em>

<em>V = 168 π m</em>

<em>------------------------</em>

<em>or</em>

<em>V = 527.78756580309 m3</em>

Hope this helps :)

<em>-ilovejiminssi ♡</em>

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Answer:

Pedro saves $9.55 each week.

4 0
3 years ago
A quadrilateral has vertices at $(0,1)$, $(3,4)$, $(4,3)$ and $(3,0)$. Its perimeter can be expressed in the form $a\sqrt2+b\sqr
seraphim [82]

Answer:

a + b = 12

Step-by-step explanation:

Given

Quadrilateral;

Vertices of (0,1), (3,4) (4,3) and (3,0)

Perimeter = a\sqrt{2} + b\sqrt{10}

Required

a + b

Let the vertices be represented with A,B,C,D such as

A = (0,1); B = (3,4); C = (4,3) and D = (3,0)

To calculate the actual perimeter, we need to first calculate the distance between the points;

Such that:

AB represents distance between point A and B

BC represents distance between point B and C

CD represents distance between point C and D

DA represents distance between point D and A

Calculating AB

Here, we consider A = (0,1); B = (3,4);

Distance is calculated as;

Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

(x_1,y_1) = A(0,1)

(x_2,y_2) = B(3,4)

Substitute these values in the formula above

Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

AB = \sqrt{(0 - 3)^2 + (1 - 4)^2}

AB = \sqrt{( - 3)^2 + (-3)^2}

AB = \sqrt{9+ 9}

AB = \sqrt{18}

AB = \sqrt{9*2}

AB = \sqrt{9}*\sqrt{2}

AB = 3\sqrt{2}

Calculating BC

Here, we consider B = (3,4); C = (4,3)

Here,

(x_1,y_1) = B (3,4)

(x_2,y_2) = C(4,3)

Substitute these values in the formula above

Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

BC = \sqrt{(3 - 4)^2 + (4 - 3)^2}

BC = \sqrt{(-1)^2 + (1)^2}

BC = \sqrt{1 + 1}

BC = \sqrt{2}

Calculating CD

Here, we consider C = (4,3); D = (3,0)

Here,

(x_1,y_1) = C(4,3)

(x_2,y_2) = D (3,0)

Substitute these values in the formula above

Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

CD = \sqrt{(4 - 3)^2 + (3 - 0)^2}

CD = \sqrt{(1)^2 + (3)^2}

CD = \sqrt{1 + 9}

CD = \sqrt{10}

Lastly;

Calculating DA

Here, we consider C = (4,3); D = (3,0)

Here,

(x_1,y_1) = D (3,0)

(x_2,y_2) = A (0,1)

Substitute these values in the formula above

Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

DA = \sqrt{(3 - 0)^2 + (0 - 1)^2}

DA = \sqrt{(3)^2 + (- 1)^2}

DA = \sqrt{9 +  1}

DA = \sqrt{10}

The addition of the values of distances AB, BC, CD and DA gives the perimeter of the quadrilateral

Perimeter = 3\sqrt{2} + \sqrt{2} + \sqrt{10} + \sqrt{10}

Perimeter = 4\sqrt{2} + 2\sqrt{10}

Recall that

Perimeter = a\sqrt{2} + b\sqrt{10}

This implies that

a\sqrt{2} + b\sqrt{10} = 4\sqrt{2} + 2\sqrt{10}

By comparison

a\sqrt{2} = 4\sqrt{2}

Divide both sides by \sqrt{2}

a = 4

By comparison

b\sqrt{10} = 2\sqrt{10}

Divide both sides by \sqrt{10}

b = 2

Hence,

a + b = 2 + 10

a + b = 12

3 0
3 years ago
Alyssa needs 4 pieces of wood that are 12 inches long to build a box. She bought a length of wood that was 60 inches long. How m
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Answer:

She has 12 inches wood left

Step-by-step explanation:

5 0
2 years ago
What is the solution to the equation? x = 1 x = 6 x = 12 x = 24
stiks02 [169]

Answer:

<h2>X=6</h2>

Option B is the correct option

solution,

\sqrt{5x - 7}  =  \sqrt{3x + 5}

Cancel the square roots on both sides

5x - 7 = 3x + 5

Add 7 to both sides

5x - 7 + 7 = 3x + 5 + 7

Simplify

5x = 3x + 12

Subtract 3x from both sides

5x - 3x = 3x + 12 - 3x

Simplify

2x = 12

Divide both sides by 2

\frac{2x}{2}  =  \frac{12}{2}

Simplify

x = 6

Hope this helps...

Good luck on your assignment..

4 0
3 years ago
Help Due Tomorrow Morning
laila [671]

3. The answer is .18 repeating because 2 divided by 11 gives it a repeating number.

4. The answer is .4 repeating

5. The answer is .25 terminating

7 0
3 years ago
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