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3 years ago

What is the slope of the line with equation y = –3?

Mathematics

1 answer:

zubka84 [21]3 years ago

3 0

So since the first one is -3 the third would be a +3 positive

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Find the height of the giraffe in the diagram. Show your work below.

dlinn [17]

The distance from the person to the mirror is 5 ft. The distance from the mirror to the giraffe is 15 ft.

15/5 = 3

Multiply the height of the person by 3:

5 ft = 60 inches 60+3 = 63 inches

63 x 3 = 189 inches

189/12 = 15.75 ft = 15 feet 9 inches

The giraffe is 15 ft 9 inches tall

7 0

3 years ago

The graph shows the temperature of ice cream in an ice chest during an overnight trip. What is the domain of this function?

mariarad [96]

Let

x-------> the number of hours

y------> the temperature in degrees Fahrenheit

we know that

For $x=0\ hours$

$y=-10\°\ F$

For $x=30\ hours$

$y=30\°\ F$

The domain of the function is the interval----------> $[0,30]$

$0\ hours \leq x\leq 30\ hours$

The range of the function is the interval----------> $[-10,30]$

$-10\°\ F \leq y\leq 30\°\ F$

therefore

<u>the answer is</u>

The domain is all real numbers 0 through 30

4 0

3 years ago

Read 2 more answers

Which method could be used to factor 4x^2-50?

Natali [406]

Factor out the gcf
factor by grouping
perfect square trinomial
or
difference of squares
?

5 0

3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h a

Elodia [21]

We have been given that a sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. We are asked to find the volume of the sphere.

We know that height of sphere is equal to its radius. This means that $r=h$ .

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$

$\text{Volume of cylinder}=\pi r^2 h$

Using $r=h$ , we will get:

$\text{Volume of cylinder}=\pi r^2\cdot r$

$\text{Volume of cylinder}=\pi r^3$

Upon comparing volume of sphere and volume of cylinder, we can see that volume of sphere is $\frac{4}{3}$ times volume of cylinder.

$\pi r^3=21$

$\frac{4}{3}\pi r^3=\frac{4}{3}\cdot 21$

$\frac{4}{3}\pi r^3=4\cdot 7$

$\frac{4}{3}\pi r^3=28$

Therefore, the volume of the sphere would be 28 cubic meters.

4 0

3 years ago

Read 2 more answers

Solve for x Round to the nearest tenth one place after the decimal !

aniked [119]

Answer:

x = 14.4

Step-by-step explanation:

x is sin(angle 24/30)×24

how do we get the angle at 24/30 ?

by using the extended Pythagoras for baselines opposite other than 90 degrees.

c² = a² + b² - 2ab×cos(angle opposite of c)

in our example the angle 24/30 is opposite of the side 18.

so,

18² = 24² + 30² - 2×24×30×cos(angle 24/30)

324 = 576 + 900 - 1440×cos(angle 24/30)

324 = 1476 - 1440×cos(angle 24/30)

1440×cos(angle 24/30) = 1152

cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5

angle 24/30 = 36.9 degrees

x = sin(36.9) × 24 = 14.4

4 0

3 years ago