Gianna's family reserved a campsite for 5 nights for a family vacation. They paid $115 total for the reservation. Let c be the cost of the reservation per night. Write and solve an equation to find c.​

Answer:

1) 270 degrees

2)  pi/4 rad

Step-by-step explanation:

1.) For which value of theta is sine theta = negative 1?

Given

sintheta = -1

theta = arcsin(-1)

theta = -90degrees

Since sin is negative in the third and 4th quadrant

In the third quadrant, theta = 180 + 90 = 270degrees

In the fourth quadrant, theta = 360 - 90 = 270 degrees

Hence the required value of theta is 270degrees

2) Given the radius of the circle to be 1, the y axis value will also be 1 units

Opposite = 1

adjacent = 1

hyp = √1²+1²

hyp = √2

sin theta = opp/hyp

sin theta = 1/√2

theta = arccsin(1/√2)

theta = 45 degrees

Express in radians

45 degrees = pi/4 radians

Hence the required angle in the first quadrant is pi/4 rad

Answer:

3pi/2

Step-by-step explanation:

that is only one that makes sine negative. others make it 0 or positive

Answer:

b is the answer okkkkkkkkkkkkkkkk

Answer:

45km

Step-by-step explanation:

Distance covered in 1min 20sec (80sec) = 1km

Distance covered in 1 min (60sec) = 1km/80sec

Distance covered in 1Hr (3600sec) = (1/80)*3600 = 45km.

Answer:

B. -1/8

Step-by-step explanation:

A. -8(-1/2) + 2 = 6 (incorrect answer)

B. -8(-1/8) +2 = 3 (correct answer)

C. -8(8) + 2 = -62 (incorrect answer)

D. -8(9) + 2 = -70 (incorrect answer)

I hope this helps :)

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The difference between 14 - 3x and - 9x + 7 is

= 14 - 3x - ( - 9x + 7)

= 14 - 3x + 9x - 7

= 6x + 7

hope it helps :)

Answer:

Step-by-step explanation:

No it doesn't. When you get stuck on a question like this one, you should go to Desmos and graph the equation. I've done that for you.

Correctly stated the equation should read f(x) = (x + 2)^2 + 4

As you can see from the graph the vertex is at -2,4. To find the x value of the vertex, create a small equation

x + 2 = 0

x = - 2

That will turn what is inside the brackets into 0. The value for x is always what will turn (x + a) to zero.

Answer:

w = 5

Step-by-step explanation:

(3w - 1) ÷ 3 - (2w + 1) ÷ 3 = 1

(Graph, just switch w to x)

Answer:

higkygbjoknmmnnnbv

Answer:

n has to be negative

Answer:

Step-by-step explanation:

A rectangular room must have a perimeter of 20 feet and an area of at least 20 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a foot

------------

L + W = 10 --> W = 10 - L

---

L*W >= 20

----

Solve L*W = 20

L*(10 - L) = 20

-L^2 + 10L - 20 = 0

Answer:

B

Step-by-step explanation:

A square pyramid is one with a square base. The correct option is B.

A square pyramid is one with a square base. It is a right square pyramid with C4v symmetry if the top is perpendicular to the centre of the square. It is an equilateral square pyramid if all edge lengths are equal.

The place at which the up-side down pyramid will intersect with the plane will be a square.

Hence, the correct option is B.

The complete question is:

If a vertical plane cuts through a square pyramid down from the vertex, which of the following best describes the shape of the cross-section?

A. Pentagon

B. Square

C. Rectangle

D. Triangle

Learn more about Square Pyramid:

https://brainly.com/question/15219357

#SPJ2

Answer:

2x^2 + 3x - 2

Step-by-step explanation:

=> area of rectangle = length*width

=> length = (2x -1)

=> width = (x + 2)

=> area = (2x - 1) (x + 2)

=> area= 2x(x + 2) - 1(x + 2)

=> area = 2x^2 + 4x - 1x - 2

=> area = 2x^2 + 3x - 2

hope it helps

Answer:x=1 or x=−2

Step-by-step explanation:

Answer:

y^2-1=80

y^2=81

y = positive and negative 9

y2−1=80

Step 1: Add 1 to both sides.

y2−1+1=80+1

y2=81

Step 2: Take square root.

y=±√81

y=9 or y=−9

Answer:

y=9 or y=−9

Answer:

4.672 × 10⁶

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

First I add all of the numbers given and I get 40. Now 40 - 18= 22.

Answer:

22%

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hope this helps hope you get it right

Answer:

I believe it would be D, sorry if I didn't get it right!

Step-by-step explanation:

Answer:

0.6 + 15b + 4 = 25.6

15b +4 = 25

15b = 25 - 4

15b = 21

b = 21/15

b = 7/5

hope it helps

Answer:

Exact Form:

b=7/5

Answer: 52.8 kilometers

Step-by-step explanation:

This week she plans to run 2²/₅ times as much as last week.

If she ran 22 kilometers last week, then multiple 22 by 2²/₅ to find out the number of kilometers to run this week.

First convert the improper fraction to a proper one:

2²/₅ = 12/5

= 12/5 * 22

= 264/5

= 52.8 kilometers

Answer:

3?

Step-by-step explanation:

Answer:

p=3

Step-by-step explanation:

-28 on both sides. should come up with this:

-5p = -15

now divide 5 with both sides. should come up with this

p=3

then youre done!!! hope this helps have a good day :)

Answer:

9/24

Step-by-step explanation:

This is because when we multiply 3/8 with 3 in both numerator and denominator we get,

[tex] \frac{3 \times 3}{8 \times 3} = \frac{9}{24} [/tex]

Hence, 9/24 is required answer.

Answer:

9/24

Step-by-step explanation:

Fraction             Equivalent Fractions

3/8          6/16               9/24

Answer:

a)  y = 2 x - 1

b)  y = - x + 7

c)  y = 7 x + 2

Step-by-step explanation:

Use a pair of (x1, y1) and (x2, y2) points to find the equation of the line for each tables:

a) (5, 9) and (10, 19)

slope: (y2 - y1) / (x2 - x1) = (19 - 9) / (10 - 5) = 10 / 5 = 2

Then  y = 2 x + b

solve for b in:  9 = 2 (5) + b

b = 9 - 10 = -1

Then   y = 2 x - 1

b) (2, 5) and (5, 2)

slope: (y2 - y1) / (x2 - x1) = (2 - 5) / (5 - 2) = -3 / 3 = -1

Then  y = - x + b

solve for b in:  5 = - (2) + b

b = 5 + 2 = 7

Then   y = - x + 7

c) (3, 23) and (6, 44)

slope: (y2 - y1) / (x2 - x1) = (44 - 23) / (6 - 3) = 21 / 3 = 7

Then  y = 7 x + b

solve for b in:  23 = 7 (3) + b

b = 23 - 21 = 2

Then   y = 7 x + 2

Answers:

a. -4/3 or -1 1/3

b. 4/3 or 1 1/3

c. -3

d. 3

Step-by-step explanation:

hope this helps!

Answer:

Scale factor=8

Step-by-step explanation:

height =(64/8=8)

Length (40/5=8)

Hope this helps ;)

Answer:

Scale Factor: 1/8

Step-by-step explanation:

8/64 simplified (divided by 8) = 1/8

5/40 simplified (divided by 5) = 1/8

Answer:

If its per month then its 900

Step-by-step explanation:

3600/4 = 900

900*4 = 3600