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2 years ago

5

Choose an entree (steak, chicken, fish, or tofu), a side (mac & cheese, green beans, french fries, or bread), and a drink (w

ater or soda)
Draw a tree diagram to the best of your abilities

1 answer:

notka56 [123]2 years ago

4 0

You have steak Mac water or steak mac water, etc etc...

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Write an equation for an ellipse centered at the origin, which has foci at (\pm8,0)(±8,0)left parenthesis, plus minus, 8, comma,

mario62 [17]

Answer:

The equation of the ellipse is $\frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1$

Step-by-step explanation:

The standard form of the equation of an ellipse with center (0 , 0) is

$\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$ , where

The coordinates of the vertices are (± a , 0)

The coordinates of the foci are (± c , 0) , where c ² = a² - b²

∵ The ellipse is centered at the origin

∴ The center of it is (0 , 0)

∵ It has foci at (± 8 , 0)

- The coordinates of the foci are (± c , 0)

∴ c = ±8

∵ It has Vertices at (± 17 , 0)

- The coordinates of the vertices are (± a , 0)

∴ a = ±17

∵ c² = a² - b²

- Substitute the values of c and a to find b

∴ (8)² = (17)² - b²

∴ 64 = 289 - b²

- Add b² to both sides

∴ b² + 64 = 289

- Subtract 64 from both sides

∴ b² = 225

- Take √ for both sides

∴ b = ± 15

∵ The equation of the ellipse is $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$

- Substitute the values of a and b in it

∴ $\frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1$ ⇒ $\frac{x^{2}}{289}+\frac{y^{2}}{225}=1$

∴ The equation of the ellipse is $\frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1$

6 0

3 years ago

Plzzzzzz help meeeee

kipiarov [429]

Answer:

Step-by-step explanation:

For A, 7x=21, it is asking, 7 multiplied by what number is 21? We can try to figure it out. Let's start with 0.

7(0)≠21

Then 1.

7(1)≠21

7(2)≠21

7(3)=21

Therefore, for question a, the answer is 3.

For question b, it's asking 6 minus what is 2.

With this one, we can say it is 4, since 6-4=2.

Now moving on to B.

a) 2x+4=16

We need to isolate x in order to find it's value.

So we can begin with subtracting 4 from both sides, getting us:

2x=12

Then, if we divide both terms by 2, we get x.

x=12/2

x=6.

b)

3 x (z/4)=9

Again, we need to isolate z.

So, we multiply both sides by 4, getting us

3z=36

then we divide by 3

z=36/3

z=12

c) 16-x=2

Here we simply subtract 16 from each side, then flip the signs to get positive x.

So, 16-x=2

-x=-14

x=14

d) 4k=20

This is essentially asking, 4 times what number is 20?

So we can divide both sides by 4 and get

k=20/4

k=5

5 0

2 years ago

Circle O has a circumference of 88π cm.

Lena [83]

Answer

44

Step-by-step explanation:

R = C/(2*Pi).

So, in order to find the radius from the circumference, you use the formula R = C/(2*Pi). In other words, just divide the circumference by 2 times pi.

8 0

3 years ago

UURGENTTT PLLZ HELP WILL MARK AS BRANLIEST!!!

lapo4ka [179]

Answer:

Surface area of the wood to be painted = ( $r^{2}$ + r $\sqrt{h^{2} + r^{2} }$ ) $\pi$ - 16 $\pi$

Step-by-step explanation:

Surface area of a cone is given as the sum of the surface area and the area of its base.

i.e Surface area = $\pi$ $r^{2}$ + $\pi$ Lr

where: L is the length of its slant height and r is the radius.

Applying the Pythagoras theorem,

L = $\sqrt{h^{2} + r^{2} }$

Thus,

Surface area = $\pi$ r (r + $\sqrt{h^{2} + r^{2} }$ )

The given cylindrical hole has a radius of 4 cm and depth 2 cm.

The area of one of its circular surfaces = $\pi$ $r^{2}$

= $\pi$ × $(4)^{2}$

= 16 $\pi$ $cm^{2}$

The surface area of the piece of wood to be painted = surface area of cone - area of cylindrical circular surface.

Surface area of the wood to be painted = $\pi$ r (r + $\sqrt{h^{2} + r^{2} }$ ) - 16 $\pi$

7 0

3 years ago

At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist headi

gizmo_the_mogwai [7]

----------------------------------------------------------------------------------------------
Find the duration
----------------------------------------------------------------------------------------------
Time : 9:00am to 10:15am
Duration: 1hour 15 mins or 1.25hours

----------------------------------------------------------------------------------------------
Find difference in distance travelled between the two cyclists.
----------------------------------------------------------------------------------------------
Difference in speed = 6km/h
1 hour = 6 km
1.25 hours = 7.5km

----------------------------------------------------------------------------------------------
Find the distance the cyclist traveled
----------------------------------------------------------------------------------------------
42.5 - 7.5 = 35km
35km ÷ 2 = 17.5km

The slower cyclist traveled 17.5 km in the 1.25 hours

17.5 + 7.5 = 25 km

The faster cyclist traveled 25km in the 1.25 hours

----------------------------------------------------------------------------------------------
Find the speed of the slower cyclist
----------------------------------------------------------------------------------------------
1.25 hour = 17.5 km
1 hour = 17.25 ÷ 1.25
1 hour = 14km

The cyclist was traveling at 14km/h

----------------------------------------------------------------------------------------------
Find the speed of the faster cyclist
----------------------------------------------------------------------------------------------
1.25 hour = 25km
1 hour = 25 ÷ 1.25
1hour = 20 km

The cyclist was traveling at 20km/hour

----------------------------------------------------------------------------------------------
Answer: The speed were 14km/h and 20 km/h
----------------------------------------------------------------------------------------------

8 0

3 years ago

Read 2 more answers