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3 years ago

Question:

Mathematics

2 answers:

Minchanka [31]3 years ago

8 0

Answer:

18 feet

Step-by-step explanation:

9/12 = 0.75

24 x 0.75 = 18

NISA [10]3 years ago

6 0

Answer:

Step-by-step explanation:

24x .75 =18

 $24 \times .75 = 18$ 

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Find the mean of the following data set 73, 81, 51, 76, 89, 95, 88

kifflom [539]

Answer:

$mean = \frac{(73 + 81 + 51 + 76 + 89 + 95 + 88)}{7} \\ = 79$

6 0

3 years ago

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On a coordinate plane, a line goes through (negative 4, 0) and (0, 2).

11Alexandr11 [23.1K]

Answer:

y – 2 = 4x

3y = –9x – 6

Step-by-step explanation:

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3 years ago

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Write the equation of the line in fully simplified slope-intercept form.

Lina20 [59]

Answer:

$y=-6x+2$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

$m=\displaystyle \frac{y_2-y_1}{x_2-x_1}$ where two points that fall on the line are $(x_1,y_1)$ and $(x_2,y_2)$

Given the graph, we determine which points we could use. For example, we could use the two points $(0,2)$ and $(1,-4)$ :

$m=\displaystyle \frac{-4-2}{1-0}\\\\m=\displaystyle \frac{-6}{1}\\\\m=-6$

Therefore, the slope of the line is -6. Plug this into $y=mx+b$ :

$y=-6x+b$

2) Determine the y-intercept (b)

Recall that the y-intercept occurs when x=0. Given the point (0,2), we know that the y-intercept is 2. Plug this into $y=-6x+b$ :

$y=-6x+2$

I hope this helps!

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3 years ago

The volume of a tetrahedron is 1 6 of the volume of a parallelepiped whose sides are formed using the vectors coming out of one

Irina18 [472]

Answer: The volume of the tetrahedron is 2 units.

Step-by-step explanation:

Let A = (1, 1, 1)

B = (1, 5, 5)

C = (2, 2, 1)

The volume of a tetrahedron is given as

V = (1/6)|AB, AC, AD|

Where |AB, AC, AD| is the determinant of the matrix of AB, AC, AD.

We need to determine AB, AC, and AD

Suppose A = (a1, a2, a3)

B = (b1, b2, b3)

C = ( c1, c2, c3)

AB = ( b1 - a1, b2 - a2, b3 - a3)

Similarly for AB, AC, BC, etc.

AB = (1 - 1, 5 - 1, 5 - 1)

= (0, 4, 4)

AC = (1, 0, 2)

AD = (1, 1, 0)

Volume =

(1/6) |0 4 4|

|1 0 2|

|1 1 0|

= (1/6)[0(0 - 2) - 4(0 - 2) + 4(1 - 0)

= (1/6)(0 + 8 - 4)

= (1/6)(12)

V = 12/6 = 2 units

5 0

3 years ago

The height of a cylinder is 3 units. Its radius is 10 units. What is the volume of the cylinder, in cubic units? (Use π = 3.14)

serg [7]

The answer would be 942.
since the formula for volume of a cylinder is the area of the base times the height you would need to multiply pi times 10^2 and then times the height of 3.

3.14 * 10^2 = 314
314 * 3 = 942

I hope this helped :)

8 0

3 years ago

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