Students standing in line for a theme park were surveyed about their favorite ride. Their responses are shown below. If one student is picked randomly, then which of the following is true?

Answer:

C: 31 m/s

Step-by-step explanation:

It falls from a dam.

Thus;

Initial velocity; u = 0 m/s

Height; h = 49 m

Acceleration due to gravity is 9.8 m/s²

To solve for the final velocity this, we will use Newton's third equation of motion;

v² = u² + 2gh

v² = 0² + 2(9.8 × 49)

v = √960.5

v ≈ 31 m/s

Answer:

73 feet

Step-by-step explanation:

50 + 23 = 73 feet

Answer:

[tex]<F+<K+<H+<G=360[/tex]°

[tex]90[/tex]°[tex]+3x+90+2x=360[/tex]°

⇒[tex]5x+80=360\\[/tex]

⇒[tex]5x=360-+80[/tex]

⇒[tex]5x=-+80[/tex]

⇒[tex]x=\frac{-+80}{5}[/tex]

⇒x=36°

3x=3×36=108°

2x=2×36=72°

FG≈HG=17

hope it helps...

have a great day!!

Answer:

[tex] 10 \: { \: m}^{2} [/tex]

Step-by-step explanation:

area of the shaded region = Area of triangle formed in rectangle with base (10 - 6 = 4) 4m and height 2 m + Area of triangle formed in square with base 2 m and height 6 m

[tex] = \frac{1}{2} \times 4 \times 2 +\frac{1}{2} \times 2\times 6 \\ \\ = 4+6 \\ \\ = 10 \: { \: m}^{2} [/tex]

Answer:

shaded region = 10 m squared

Step-by-step explanation:

Area square = 6x6 = 36    Area reatangle 4x2 = 8

both areas = 44

Now lets subtract some white parts to obtain the shaded parts

1/2 of 4x6 = 12

1/2 of 6x6 = 18

1/2 of 4x2 =4

12+18+4= 34

44-34 = 10

answer: 1.75

say you have 1 dollar and 3 quarters, this would give you $1 dollar and 75 cents =1.75

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

r = 3.7 cm

Step-by-step explanation:

19.02 = 1/2π(2radius) + diameter

expanding:

19.02 = 1/2(3.14)(2r) + 2r

19.02 = 3.14r + 2r = 5.14r

r = 19.02/5.14 = 3.7 cm

Answer:

im too late

Step-by-step explanation:

Answer:

a=-2

We move all terms to the left:

2(2a+3)-6-(5a+2)=0

We multiply parentheses

4a-(5a+2)+6-6=0

We get rid of parentheses

4a-5a-2+6-6=0

We add all the numbers together, and all the variables

-1a-2=0

We move all terms containing a to the left, all other terms to the right

-a=2

a=2/-1

a=-2

Step-by-step explanation:

We move all terms to the left:

2(2a+3)-6-(5a+2)=0

We multiply parentheses

4a-(5a+2)+6-6=0

We get rid of parentheses

4a-5a-2+6-6=0

We add all the numbers together, and all the variables

-1a-2=0

We move all terms containing a to the left, all other terms to the right

-a=2

a=2/-1

a=-2

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Answer:

a = -2

Step-by-step explanation:

2(2a+3)-6=5a+2

distrubute the 2

4a + 6 - 6 = 5a + 2

   combine like terms

    4a = 5a + 2

    -5a     -5a

        -a = 2

         a = -2

Answer:

A. Exactly one solution

Step-by-step explanation:

8x+6y=10

-8x+6y=2

0+12y=12 added two equations together

12y=12

y=1

solve for x

8x+6y=10

8x+6(1)=10

8x=4

x=1/2

Answer: 63

Step-by-step explanation: 21+21+21

Answer:

63

Step-by-step explanation:

21*3= 63

63*1/3= 21

Answer:

1

Step-by-step explanation:

12/4 + 2 * 1/2 - 3 = 1

Answer:

53.8 mi^2

Step-by-step explanation:

First we need to determine the radius of the crater.  The circumfence formula is C = 2(pi)r, and here C = 26 miles.  Thus,

26 mi = 2(pi)r, so that

      26 mi

r = ------------ = 4.13 miles

        2pi

Then the area of the crater  is A = (pi)r^2, or:

A = 3.14(4.13 mi)^2 = 53.8 mi^2

Answer:

It would fill 8 tanks

Step-by-step explanation:

45minutes = 3/4 of an hour

It would fill 6/(3/4) tanks in 6 hours

6/(3/4) = 6/3*4 = 2*4 = 8

Answer:

xx = (316 - 4) ÷ 6

xx = 52 students per bus

The shape is a pentagon.

The interior angles of a pentagon always add up to 540°.

When you add up all the labeled angles in the picture, you get (16x + 12).

16x + 12 = 540

16x = 528

X = 33

Step-by-step explanation:

4x-25+3x+25+3x+15+4×+2x-3=360

4x+3x+3x+4x+2x-25+25+15-2=360

16x +12=360

16x=360-12

16×÷16=348÷16

×=21.75

Answer: 2.5 is greater than x

Step-by-step explanation:

Answer:

Angles 1 and 2 are vertical

Angles 3 and 4 are adjacent

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

379.00 - 15.00 + 154.00 x 3 + 65.00 + 13.00 = 904

0.55 x 63 = 34.65

34.65 + 904 = 938.65

Answer:

Your answer is D

Step-by-step explanation:

because 379-15+154x3+65+13+0.55x63=938.65

Answer:

The correct answer is A. 18 cm2

Cubic polynomial

[tex] {x}^{3} + {2x}^{2} - 5x - 10[/tex]

Binomial

[tex]2x - 3[/tex]

By vertical method of multiplication we get,

[tex] {2x}^{4} + {x}^{3} - {16x}^{2} - 5x + 30[/tex]

Answer:

15

Step-by-step explanation:

it says below 2.5 so you would not count the ones on 2.5 but count everything from 2 and below which wound be 15

Answer: 15 because if you look a the dots and it said less than 2,5 hours you would go backward from 2.5 all the way to 0 hours

hope it helps  

Answer:

106,000 is the answer help me with my answer to

Answer:

The medians differ by $14,000, but if the IQR is larger than about $7,000, there will not be a meaningful difference between the median salaries in the two cities.

Step-by-step explanation:

Answer:

Step-by-step explanation: it looks right to me but who knows

Answer:

Yes

Step-by-step explanation:

The line intersects the y axis at point 4 (y > 3/2 x + 4), and for every 2 squares to the right it goes 3 squares up (y > 3/2 x + 4). Also, it's the > sign, which is correct when it goes in that direction.

Answer: 7/8

Step-by-step explanation:

1 1/4 - 3/8 = 1.25 - 0.375 = 0.875 = 7/8

Answer:

A1 = more than two 1s

A2 = 0.4286

Step-by-step explanation:

hope this helps!

-8y+4

-2y-6y=-8y

7-3=4

-8y+4

Step-by-step explanation:

hope it helps.........

Answer:

The answer is 6.

Step-by-step explanation:

All you need to do is turn 33 and 44 into a fraction ([tex]\frac{33}{44}[/tex]). Then you need to simplify it and it's simplest form is [tex]\frac{3}{4}[/tex]. then you up the fraction to [tex]\frac{6}{8}[/tex] and that's your answer.