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3 years ago

Graph each function y= -x squared + 5

Mathematics

1 answer:

AlekseyPX3 years ago

5 0

Because it the -x is ^2 the shape of this line will be a parabola.
Hopefully this helps.

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What is the angle, in degrees, if the Area is 180 square miles and the radius is 42,240 feet?

Savatey [412]

Step-by-step explanation:

the area of a circle (all 360°) is

pi×r²

with r being the radius.

the area of a circle segment is just the corresponding fraction of the whole circle.

so the area of a segment of x degrees is

pi×r² × x/360

in our case we know

pi×42240² × x/360 = 180 mi²

we also know that there are 5280 ft in 1 mile.

so, the radius is actually

42240 / 5280 = 8 miles

and therefore our equation resulting in mi² has to use miles and not ft and has to look that way :

pi×8² × x/360 = 180 mi²

pi×64 × x/360 = 180

pi×64 × x = 180×360

pi×x = 180×360/64 = 1012.5

x = 1012.5/pi = 322.2887598...°

so, the angle of the segment of a circle with the area of 180 mi² and the radius of 8 mi is 322.2887598...°

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2 years ago

Roberta is thinking about joining the food co-op store. If she pays $10.00 to join, she will get 10% off on all the groceries sh

IceJOKER [234]

$100 worth of groceries.

8 0

3 years ago

A school is selling tickets to a drama performance. On the first day of ticket sales the school sold 3 adult tickets and 1 child

baherus [9]

Answer:

System of linear equations

$\left\{\begin{matrix} 3a+c=38 \\\\ 3a+2c=52 \end{matrix}\right.$

a: adult ticket price and c: child ticket price

Step-by-step explanation:

This system of equations can be used to find the price of the adult and child tickets.

We have two equations (one for each day) and two unknowns (adult ticket price and child ticket price).

Let a: adult ticket price and c: child ticket price,

we have for the first day that 3 adult tickets and 1 child ticket adds $38:

$3a+1c=38$

and for the second day we have that 2 adult tickets and 2 child tickets adds $52:

$3a+2c=52$

If we write this as a system of equations, we have:

$\left\{\begin{matrix} 3a+c=38 \\\\ 3a+2c=52 \end{matrix}\right.$

4 0

3 years ago

emilys meal costs 32.75 and darren's meal costs 39.88. emily treats darren by paying for both meals, and leaves a 14 percent tip

tamaranim1 [39]

The total cost would be $82.80.

5 0

3 years ago

Read 2 more answers

Solve each equation by substitution:<br><br>y = 6x - 17<br>y= -4x +23

NISA [10]

Answer:

$y = 6x - 17 \\ y = - 4x + 23 \\ then \\ 6 x - 17 = - 4x + 23 \\ 10x = 40 \\ x = 4 \\ y = 7$

7 0

3 years ago