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olga2289 [7]
2 years ago
11

Find the volume of the figure

Mathematics
1 answer:
natka813 [3]2 years ago
5 0

Answer:

760ft

Step-by-step explanation:

First you find the volume of the rectangle thing :)

so 14 times 19 times 2 = 532ft

than you need to do the triangle so 20 - 14 (for base length) is 6

so 19 times 6 times 2 = 228ft

now you ad them, so 532 + 228 = 760

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(◞ ‸ ◟) PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP ≧﹏≦
Marrrta [24]
<h2>It is an obtuse angle.</h2>

Step-by-step explanation:

Obtuse: An obtuse angle is an angle more than 90^\circ but less than 180^\circ.

Example : 110^\circ,135^\circetc.

Acute : An acute angle is an angle less than 90^\circ

Example : 30^\circ,45^\circ etc.

Straight : A straight angle is 180^\circ.

Right: A right angle is 90^\circ.

Since the angle is more than 90^\circ but less than 180^\circ . So, it is an obtuse angle.

4 0
3 years ago
Find the equation of the sphere centered at (-9,9, -9) with radius 5. Normalize your equations so that the coefficient of x2 is
olganol [36]
<h2><u>Answer</u>:</h2>

(a) x² + y² + z² + 18(x - y + z) + 218 = 0

(b) (x + 9)² + (y - 9)² + 56 = 0

<h2><u>Step-by-step explanation:</u></h2>

<em>The general equation of a sphere of radius r and centered at C = (x₀, y₀, z₀) is given by;</em>

(x - x₀)² + (y - y₀)² + (z - z₀)² = r²               ------------------(i)

<em>From the question:</em>

The sphere is centered at C = (x₀, y₀, z₀) = (-9, 9, -9) and has a radius r = 5.

<em>Therefore, to get the equation of the sphere, substitute these values into equation (i) as follows;</em>

(x - (-9))² + (y - 9)² + (z - (-9))² = 5²

(x + 9)² + (y - 9)² + (z + 9)² = 25      ------------------(ii)

<em>Open the brackets and have the following:</em>

(x + 9)² + (y - 9)² + (z + 9)² = 25

(x² + 18x + 81) + (y² - 18y + 81) + (z² + 18z + 81) = 25

x² + 18x + 81 + y² - 18y + 81 + z² + 18z + 81 = 25

x² + y² + z² + 18(x - y + z) + 243 = 25

x² + y² + z² + 18(x - y + z) + 218 = 0    [<em>equation has already been normalized since the coefficient of x² is 1</em>]

<em>Therefore, the equation of the sphere centered at (-9,9, -9) with radius 5 is:</em>

x² + y² + z² + 18(x - y + z) + 218 = 0

(2)  To get the equation when the sphere intersects a plane z = 0, we substitute z = 0 in equation (ii) as follows;

(x + 9)² + (y - 9)² + (0 + 9)² = 25

(x + 9)² + (y - 9)² + (9)² = 25

(x + 9)² + (y - 9)² + 81 = 25        [<em>subtract 25 from both sides</em>]

(x + 9)² + (y - 9)² + 81 - 25 = 25 - 25

(x + 9)² + (y - 9)² + 56 = 0

The equation is therefore, (x + 9)² + (y - 9)² + 56 = 0

6 0
3 years ago
Negative exponents in denominators can be evaluated using StartFraction 1 Over b Superscript negative and EndFraction nbsp equal
skelet666 [1.2K]

Answer:

b Superscript positive

Step-by-step explanation:

Negative exponents in the denominators can be evaluated by moving the function from the denominator to the numerator and changing the power from negative to the positive.

We have

1/b⁻² = b²

Moving the function with a power from denominator to numerator or from numerator to denominator changes the sign of the power. It is not equal to zero.

This is the property of exponents.

3 0
2 years ago
What is 8/10 simplified by
Oksanka [162]

Answer:

4/5

Step-by-step explanation:

that is it

6 0
2 years ago
Read 2 more answers
Solve 12−5x−4kx=y for x.
IgorC [24]

Answer:

x = \frac{12-y}{4k+5}

Step-by-step explanation:

12-5x-4kx=y

1. Subtract 12 from both sides.

2.Distrubutive property (factor) a(b+c)=ab+ac

x(-5-4k)=y-12

  • Divide by -5-4k

x = \frac{y-12}{-5-4k}

= \frac{12-y}{4k+5}

5 0
3 years ago
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