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3 years ago

The central angle of a minor arc is an acute angle.

1 answer:

3 0

<span>The central angle in a minor arc is acute. In a minor arc, the angle must be less than 180˚. However, it doesn't have to be less than 90˚. So the central angle is sometimes acute.

hope this helps u leave a like if it does</span>

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Juliet wants to know if the chicken broth in this beaker will fit into this rectangular food storage container.

Blizzard [7]

Answer:

Doesn't fit

Step-by-step explanation:

There are 2.4litres in the beaker if you count the lines; they increment by 0.4 litres each. The volume of the storage container is 20 x 15 x 7 = 2100 cm^3 (cm cubed). 1 cm^3 = 1 ml; the cube can hold 2100 mL which is 2.1 litres, which is less than the 2.4 litres in the beaker, therefore it will not fit.

4 0

3 years ago

Show questions

cupoosta [38]

Answer:

The cost is a fixed $2, plus $3.25 for any additional hour.

Then if you rent it for x hours, the cost is:

c(x) = $2 + $3.25*x

Is this situation continuous or discrete?

Yes, it is discrete, because x is "the number of hours"

so if you rent it for 1.30 hours, they will say "ok, this is equivalent to two hours".

This means that while the values of x are continuous, the possible costs are:

{$2, $2 + $3.25, $2 + 2*$3.25, ....}

Which is a discrete set.

Then the sign for 1 to 5 hours will be:

1 hour ---------- $2 + $3.25 = $5.25

2 hours -------- $2 + 2*$3.25 = $8.50

3 hours--------- $2 + 3*$3.25 = $11.75

4 hours--------- $2 + 4*$3.25 = $15

5 hours -------- $2 + 5*$3.25 = $18.25

In the other park the cost is only $4 for each hour (no fixed cost) then the total cost for x hours is:

c(x) = $4*x

Now, which option is better?

If we look at the costs for different numbers of hours for this other equation, we have:

1 hour ----- $4

2 hours ---- 2*$4 = $8

3 hours ----- 3*$4 = $12

4 hours ------ 4*$4 = $16

Then: if you want to skate 2 hours or less, Skate City is cheaper, if you want to skate more than that, kate Days is cheaper.

This happens because the first one has a smaller slope, meaning that is larger at first, but as x grows the price does not grow as much as in Skate City

7 0

3 years ago

Leila's father used six-tenths of a full tank of gasoline on their trip. Nine gallons were used.

Bad White [126]

Answer:

Step-by-step explanation:

if 6/10 = 9 gal. then we can divide 9 by 6 and then multiply that answer by ten

5 0

4 years ago

Music that has melodies created based on the roll of dice or a random set of numbers is called

VladimirAG [237]

Aleatoric music is music that has melodies that are based on the roll of dice or a random set of numbers.

4 0

4 years ago

Read 2 more answers

A parabola can be drawn given a focus of (5, -3) and a directrix of y=1. Write the equation of the parabola in any form.

Anna71 [15]

Answer:

(x²-10x+33)/(-8) = y

Step-by-step explanation:

The distance between any point on a parabola from both its focus and directrix are the same.

Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,

$\sqrt{(x-5)^2+(y-(-3))^2}$ is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.

Equating the two equations given, we have

$\sqrt{(x-5)^2+(y-(-3))^2} = |y-1|$

square both sides to get

(x-5)²+(y+3)²=(y-1)²

expand the y components

(x-5)² + y²+6y+9 = y²-2y+1

subtract y²+6y+9 from both sides

(x-5)² = -8y - 8

expand the x components

x²-10x+25 = -8y - 8

add 8 to both sides to isolate the -8y

x²-10x+33 = -8y

divide both sides by -8 to isolate y

(x²-10x+33)/(-8) = y

6 0

3 years ago