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3 years ago

Which line is parallel to the line y = 3x + 6?

1 answer:

7 0

Y = 3x - 9, because for a line to be parallel it has to have the same gradient (x value) as the first line, and y = 3x - 9 is the only equation with the x value of 3.

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A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere

pentagon [3]

Answer:

$V=298.5cm^3$

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

$SA=4\pi r^2$

from this formula we clear the radius r:

$r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }$

and we substitute the known value of the surface area, and also the value of $\pi$ :

$r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm$

and now that we know the radius we find the volume:

$V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3$

the volume of the sphere is $298.5cm^3$

7 0

3 years ago

Problem 1:

Allisa [31]

Answer:

It will cost $120.00

Step-by-step explanation:

8 0

3 years ago

Use a number line to add and subtract.<br><br> +7 + (-3)=

Karolina [17]

Answer:

Step-by-step explanation:

You have positive number and it is bigger that negative so your result will be positive too:

7-3=4

4 0

3 years ago

Given a slope and a point write a perpendicular equation in standard form.

jeyben [28]

Hi there! The answer would be:

y=-2/5x+2.

Explanation:
We can start by plotting the given point (-5,3). From there, we can use the slope to place other points to find the y intercept. Using the slope of the graph, we can find that the line segment hits (2,0). Therefore, how answer would be: y=-2/5x+2

Hope this helps!!! :DD
mark brainliest if possible! If not, that’s okay!

5 0

3 years ago

Need help please...............................

Hunter-Best [27]

Note that the side adjacent to angle XYZ is given (6 cm) and that the hypo is also given (15 cm). Thus, cos XYZ = adj / hyp = 6 cm / 15 cm = 2/5 = 0.4.

XYZ is then arc cos 0.4. Use the arccos function on your calculator to determine XYZ and give XYZ in both degrees and radians.

7 0

3 years ago