40 people can ride the roller coaster every 15 minutes. How many people can ride the roller coaster every 3 hours?

Answer:

Step-by-step explanation:

UWV is a 30°-60°-90° triangle.

The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2

The length of the side opposite the 90° angle is 10,

so the length of the side opposite the 30° angle is 5

and the length of the side opposite the 60° angle is 5√3

Answer:

Step-by-step explanation:

They are showing you how to factor 12-9i+8i-6i².

Find the greatest common factor in each row and each column.

Blue:  GCF of 12 and -9i = 3

Orange: GCF of 8i and -6i² = 2i

Red: GCF of 12 an 8i = 4

Green: GCF of -9i and -6i² = 3i, but both terms are negative, so use -3i

Answer:

216

Step-by-step explanation:

8(6) + (10+6+8)(7)

48 + 24x7

48 + 168

216

Answer:

51

Step-by-step explanation:

Answer:

The height of the tree is approximately 71.5 feet

Step-by-step explanation:

The given parameters are;

The angle of elevation to see the top pf the tree = 50°

The distance Peggy is laying from the base of the tree = 50 ft.

In order to answer the question using trigonometric ratio, we assume that the angle the tree makes with the ground is 90° that is the tree is perpendicular to the ground

Therefore, the line of sight to the top of the tree,  the height of the tree, and the distance from the base of the tree where Peggy is laying, forms a right triangle

Let, 's', represent the line of sight to the top of the tree, let 'h', represent the height of the tree, and let, 'd', represent the distance from the base of the tree where Peggy is laying

The third angle, θ, of the right triangle opposite 'd' is given by angle sum theorem of a triangle as follows;

θ = 180° - 90° - 50° = 40°

θ = 40°

By sine rule we have;

h/sin(50°) = d/(sin θ)

∴ h/sin(50°) = 60 ft./(sin 40°)

h = sin(50°) × 60 ft./(sin 40°) = 71.5052156 ft.

∴ The height of the tree, h ≈ 71.5 ft. by rounding to the nearest tenth

Answer:

x≥ -5

Step-by-step explanation:

Answer:

30 celsius

Step-by-step explanation:

(86°F − 32) × 5/9 = 30°C

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Equation: }\mathsf{a - 2\dfrac{1}{2} = 1\dfrac{1}{2}}[/tex]

[tex]\large\text{You have to SIMPLIFY the BOTH SIDES of the given EQUATION}[/tex]

[tex]\mathsf{-2\dfrac{1}{2}=\bf -\dfrac{5}{2}}[/tex]

[tex]\mathsf{1\dfrac{1}{2}=\bf \dfrac{3}{2}}[/tex]

[tex]\large\text{New equation: }\mathsf{a + \dfrac{-5}{2}= \dfrac{3}{2}}[/tex]

[tex]\large\text{ADD by }\mathsf{\dfrac{5}{2}}\large\text{ to BOTH SIDES}[/tex]

[tex]\mathsf{a + \dfrac{-5}{2}+\dfrac{5}{2}= \dfrac{3}{2}+ \dfrac{5}{2}}[/tex]

[tex]\large\text{Cancel out: }\mathsf{-\dfrac{5}{2}+ \dfrac{5}{2}}\large\text{ because it gives you 1}[/tex]

[tex]\large\text{Keep: }\mathsf{\dfrac{3}{2}+\dfrac{5}{2}}\large\text{ because it helps solve for \bf a}[/tex]

[tex]\large\text{New equation: }\mathsf{a = \dfrac{3}{2}+\dfrac{5}{2}}[/tex]

[tex]\mathsf{\dfrac{3+5}{2\ \& \ 2}}[/tex]

[tex]\mathsf{3 + 5 = 8}[/tex]

[tex]\mathsf{2\ \& \ 2=2}[/tex]

[tex]\large\text{Equation: }\mathsf{a = \dfrac{8}{2}}[/tex]

[tex]\large\text{Simplify above and you have the \bf a value}\uparrow[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf a = 4}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

have calculated all the numbers that 2838 is evenly divisible by. The numbers that 2838 is divisible by are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, and 2838. You may also be interested to know that all the numbers that 2838 is divisible by are also known as the factors of 2838.

9514 1404 393

Answer:

  $109.97

Step-by-step explanation:

Each straight piece of wire is the diagonal of a square that is 3" on a side. The Pythagorean theorem tells you the length of that diagonal is ...

  d = √(3^2 +3^2) = √18 = 3√2 . . . inches

There are 4 such diagonals on each trivet, so the total length of wire for 12 trivets is ...

  (12)(4)(3√2) = 144√2 . . . inches

At a cost of $0.54 per inch, the total cost for 12 trivets will be ...

  ($0.54)(144√2) = $109.97

The cost of the copper wire for making 12 trivets is $109.97.

Answer:

Check pdf

Step-by-step explanation:

55.77°

In ◣ ABC, (consider the diagram)

cosΦ = b/h = 9/16

cosΦ = 9/16

Φ = 9/16 × cos-¹

Φ = 55.77

Hence, the angle between the ladder and ground is approximately 56°.

Answer:

x-3y-7=0

Step-by-step explanation:

2x-6y=14

2x-6y-7=0

x-3y-7=0

Answer:

D

Step-by-step explanation:

Answer:

22 and 500 and 23

Step-by-step explanation:

Answer:

A: Decrease, y is 80% of x

B: Increase, y is 160%of x

Step-by-step explanation:

It sounds like it wants to know what percent Y is of X, so if y was 50% of x, that would mean y was half as much of x. so if x was 10 and y was 5

A:  x is 5 and y is 4  since y is less it is a decrease.  to find the percent do 100*y/x, so in this case that's 100*4/5 =80, so y is 80% of x.  and it makes sense it is less than 100% since x is less than y

B: x=5 and y=8  y is greater than x so it is an increase and will be more than 100%.  100*8/5 = 160 so y is 160% of x

Answer. 655.4

Step-by-step explanation:

what did u get?

Answer:

A:

i) ∠ABC is an inscribed angle

ii) ∠ATC is a central angle

B: ∠ABC = 150/2 = 75°

C: ∠ATC = 150°

Answer:

35/14

Step-by-step explanation:

Volume = 4 * h * 7 / 2 = 14h

35/14 = h

Answer:

no

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

Answer:

Hope that answers your question

Answer:

I thinks it's the third one

Answer:

Each student should get 7:75 gallons of water

Step-by-step explanation:

Do 62 divided by 8

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

−

3000

)

Focus:  

(

0

,

−

2999.9

¯¯¯¯¯¯¯¯¯¯¯¯

603174

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

3000.0

¯¯¯¯¯¯¯¯¯¯¯¯

396825

x

y

−

2

−

2974.8

−

1

−

2993.7

0

−

3000

1

−

2993.7

2

−

2974.8

Step-by-step explanation:

Answer:

3y+6-6=30-6 (subtract 6 from both sides)

3y=24 (simplfy by subtracting those numbers)

3y/3 = 24/3 (divide both sides of the equation)

y=8 (simplfy by divding with those numbers)

Step-by-step explanation:

Hope this helps :)

Answer:

3y+6-6=30-6

Step-by-step explanation:

Step-by-step explanation:

Blank #1 STQ

Blank #2 SSS (Side-Side-Side)

Answer:

66$

Step-by-step explanation:

50$-11$+27$

66$

Answer:

$66

Step-by-step explanation:

$50- $11= $39

$39+ $27= $66

Answer:

A. 21 (boys) and 14 (girls)

Step-by-step explanation:

2+3=5

35÷5= 7

7×3=21 boys

7×2=14 girls

Answer:the answer is 6,012 after 7 years

Step-by-step explanation:

i just took the quiz