DO NOT PUT IN A LINK JUST TELL ME this is serious this is a test<br>(NOO LINK!!!!!!)

How to round 36,993 to the nearest thousand

Vitek1552 [10]

The answer is 37000 becuse 36.99=if rounded 37

4 0

3 years ago

Cam has 32 dollars. How many roses can he afford to buy?

Vlad [161]

Answer:

8 roses

Step-by-step explanation:

roses cost about 4 dollars, and 8 times 4=32

6 0

3 years ago

») What is the volume of a ball with adiameter of 6 centimeters? Use 3.14for (pie)How is the volume of a sphere related tothe vo

Dahasolnce [82]

Volume of a sphere and a cone

We have that the equation of the volume of a sphere is given by:

$V=\frac{4}{3}\pi r^3$

We have that the radius of a sphere is half the diameter of it:

Then, the radius of this sphere is

r = 6cm/2 = 3cm

<h2>Finding the volume of a sphere</h2>

We replace r by 3 in the equation:

$\begin{gathered} V=\frac{4}{3}\pi r^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot3^3 \end{gathered}$

Since 3³ = 3 · 3 · 3 = 27

$\begin{gathered} V=\frac{4}{3}\pi3^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot27 \end{gathered}$

If we use π = 3.14:

$\begin{gathered} V=\frac{4}{3}\pi\cdot27 \\ \downarrow \\ V=\frac{4}{3}\cdot3.14\cdot27 \\ \downarrow \\ V=4.18\bar{6}\cdot27 \end{gathered}$

Rounding the first factor to the nearest hundredth (two digits after the decimal), we have:

4.18666... ≅ 4.19

Then, we have that:

$\begin{gathered} V=\frac{4}{3}\pi\cdot27 \\ \downarrow \\ V=4.19\cdot27 \\ =113.13 \end{gathered}$

Then, we have that:

<h2>Finding the volume of a cone</h2>

We have that the volume of a cone is given by:

$V=\frac{1}{3}\pi r^2h$

where r is the radius of its base and h is the height:

Then, in this case

r = 3

h = 6

and

π = 3.14

Replacing in the equation for the volume:

$\begin{gathered} V=\frac{1}{3}\pi r^2h \\ \downarrow \\ V=\frac{1}{3}\cdot3.14\cdot3^2\cdot6 \end{gathered}$

Then, we have:

3² = 9

$\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot3^2\cdot6 \\ \downarrow \\ V=\frac{1}{3}\cdot3.14\cdot9\cdot6 \\ V=\frac{1}{3}\cdot3.14\cdot54 \\ V=56.52 \\ \end{gathered}$

Answer: the volume of the cone that has the same circular base and height is 56.52 cm³

5 0

1 year ago

What is the equation of the line that passes through the point (4.11) and is perpendicular to the line with the following equati

Klio2033 [76]

Answer:

$y = x +7$

Step-by-step explanation:

Given

$Point\ (x_1,y_1) = (4,11)$

Perpendicular to $y = -x + 14$

Required

Determine the line equation

An equation has the form

$y = mx + b$

Where

$m = slope$

By comparison with $y = -x + 14$

$m = -1$

Because the line is perpendicular to $y = -x + 14$ , the following relationship exists

$m_1 = \frac{-1}{m}$ i.e. the condition for perpendicularity

Where m1 is the slope of the equation that passes through $Point\ (x_1,y_1) = (4,11)$

So, we have:

$m_1 = \frac{-1}{-1}$

$m_1 = 1$

The line equation is then calculated using:

$y - y_1 = m_1(x - x_1)$

Where

$m_1 = 1$

$Point\ (x_1,y_1) = (4,11)$

So, we have:

$y - 11 = 1(x - 4)$

$y - 11 = x - 4$

Add 11 to both sides

$y - 11+11 = x - 4+11$

$y = x - 4+11$

$y = x +7$

<em>The B, C and D parts of your question are not clear.</em>

<em>Apply the same steps used in (a) above and you'll get your answers</em>

7 0

3 years ago

Passes through (2,-1) and (1,-7)

Contact [7]

Answer:

y = 6x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (1, - 7)

m = $\frac{-7+1}{1-2}$ = $\frac{-6}{-1}$ = 6, thus

y = 6x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, - 7), then

- 7 = 6 + c ⇒ c = - 7 - 6 = - 13

y = 6x - 13 ← equation of line

4 0

3 years ago

DO NOT PUT IN A LINK JUST TELL ME this is serious this is a test(NOO LINK!!!!!!)