) tan c
С
45
36
B.
27
A
4/3
3/5
Ο Ο Ο Ο Ο
27/45
314
4/5

Answer:

Horizontal distance = 0 m and 6 m

Step-by-step explanation:

Height of a rider in a roller coaster has been defined by the equation,

y = [tex]\frac{1}{3}x^{2}-2x+8[/tex]

Here x = rider's horizontal distance from the start of the ride

i). [tex]y=\frac{1}{3}x^{2}-2x+8[/tex]

      [tex]=\frac{1}{3}(x^{2}-6x+24)[/tex]

      [tex]=\frac{1}{3}[x^{2}-2(3x)+9-9+24][/tex]

      [tex]=\frac{1}{3}[(x^{2}-2(3x)+9)+15][/tex]

      [tex]=\frac{1}{3}[(x-3)^2+15][/tex]

      [tex]=\frac{1}{3}(x-3)^2+5[/tex]

ii). Since, the parabolic graph for the given equation opens upwards,

    Vertex of the parabola will be the lowest point of the rider on the roller coaster.

    From the equation,

    Vertex → (3, 5)

    Therefore, minimum height of the rider will be the y-coordinate of the vertex.

    Minimum height of the rider = 5 m

iii). If h = 8 m,

    [tex]8=\frac{1}{3}(x-3)^2+5[/tex]

    [tex]3=\frac{1}{3}(x-3)^2[/tex]

    (x - 3)² = 9

    x = 3 ± 3

    x = 0, 6 m

    Therefore, at 8 m height of the roller coaster, horizontal distance of the rider will be x = 0 and 6 m

Answer:

c = 16g

Step-by-step explanation:

g = 1/16 c

Multiply both sides by 16.

16g = c

c = 16g

Answer:

c = 16g

Step-by-step explanation:

g=1/16c

This is an algebric equation that requires you to multiply both sides by 16.

g × 16 = 1/16c × 16

16g = c

Answer:

44° , acute angle

Step-by-step explanation:

Given

y = 8x + 12 ← substitute x = 4

y = 8(4) + 12 = 32 + 12 = 44°

Since 44° < 90° then angle y is acute

Answer:

2×4=8

3×4=12

12÷2=6

8+6=14

Step-by-step explanation:

Answer:

17m

Step-by-step explanation: Cut the triangle in half and place it over the other triangle creating a square. We know that one side is 3m so since all the sides of a square are equal 3 times 3 equals to 9. For the rectangle 2 times 4 is 8. So finally 8 plus 9 equals to 17. The area of the composite figure is 17m.

Answer:

9.5 14.5 and 4.5

Step-by-step explanation:

That’s correct

Answer:

The value of the car will be

4450.15

Step-by-step explanation:

we know that

11.75%=11.75/100=0.1175

so Let

x-----> the value of the car after 11 years

X=17600(1-0.1175)11=4450.15

Step-by-step explanation:

Answer:

9.45

Step-by-step explanation:

6 2/6 = 6.3

1 1/2 = 1.5

6.3 * 1.5 = 9.45

9.45

Answer:

smaller ∡ = 36°

larger ∡ = 144°

Step-by-step explanation:

1x + 4x = 180

5x = 180

x = 36

Answer:

Step-by-step explanation:

our triangle has one length:     3.76+1.7=5.46

                           another side: 1.36+1.1=2.46

                            last side:        7.1+5.1=12.20

Perimeter is=5.46+2.46+12.20=20.12 cm

Answer:

45

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

g(x)=3(x-5)

g(-1)=3(-1-5)

g(-1)=3(-6)=-18

Answer:

amogus??

Step-by-step explanation:

Answer:

59,09

.........................................................

Answer:

6 pizza, 6 pasta

Step-by-step explanation:

Now from the question we can see that Mia has comparative advantage in Pasta production and Mario in Pizza production.

Now before they both specialized, Mia's production was 6 pizza, 6 pasta. Mario also was making 6 pasta, 6 pizza.

So in total both were making 12 pizza and 12 pasta.

After they had specialized, Mario's pizza production is 18 pizza and Mia's pasta production is 18 pasta.

So we have that mia is producing 6 more pizza, 18-12 = 6

and Mario is also producing 6 more pasta.

So there is net gain of 6 pizza and 6 pasta.

#Please rate positively...thank you

Answer: Given In the Chart Below

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

7/8=0

Answer:

1/1 or 1

Step-by-step explanation:

the rise is 1 and the run is 1

Answer:

1

Step-by-step explanation:

slope is found by rise/run.

in this case, the rise is 1, and the run is 1. so, the slope is 1/1=1

Answer:

A

Step-by-step explanation:

2.2*4 = 8.8

8.8+1.7= 10.5

Answer:

The answer is A 2.2

Step-by-step explanation:

2.2×4=8.8

8.8+1.7=10.5

Length length radius of a wheel in an inline skates = 41 millimeters

Circumference of wheel = Millimeters traveled by the wheel in one rotation

(pi value = [tex] \tt\: \frac{22}{7} [/tex])

Circumference of wheel :

[tex] = \tt2\pi r[/tex]

[tex] =\tt 2 \times \frac{22}{7} \times 41 [/tex]

[tex] = \tt \frac{2 \times 22}{7} \times 41[/tex]

[tex] = \tt \frac{44 \times 41}{7} [/tex]

[tex]\color{plum} =\tt 257.71 \: mm[/tex]

Thus, the wheel will travel 257.71 mm in one rotation.

Distance traveled by the wheel in 5 rotations :

= distance traveled by the wheel in 1 rotation × 5

[tex] =\tt 257.71 \times 5[/tex]

[tex]\color{plum} = \tt\bold{1288.55 \: mm}[/tex]

[tex] =\tt \frac{1288.55}{10} \: cm[/tex]

[tex] \color{plum}=\tt 128.855 \: cm[/tex]

▪︎Therefore, the distance traveled by the wheel in 5 rotations = 1288.55 millimeters or 128.855 cm.

Answer:

129

Step-by-step explanation:

distance from -29 to 0 plus 100 to 0

hope this helped :))

Answer:

Rational

Step-by-step explanation:

-9 is rational because 9 is a perfect square and all perfect squares are rational.

Answer:

10 < 18 + 7

10 < 25

True yyes

cuz it is above 10

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

For a point to satisfy an inequality, when it is pluged in, the inequality must be true. So, first, plug in 3 for x and 10 for y. After plugging in the points the inequality is 10< 6(3)+7, then simplify the inequality. This equals 10<25, which is a true statement. Therefore the answer is yes.

Answer: The relation is a function.

Step-by-step explanation: Since there is one value of y for every value of x in (-2,4), (3,7), (0,8), (5,8), and (1,6), this relation is a function.

I hope this helps you out!

Answer:

la verdD no c

Step-by-step explanation:

pero tu pon lo q creas nadie es perfecto

Answer:

(2x-14)+(8-12x)

-14+8+2x-12x

-6-10

-16

Answer:

A+B=-29

Step-by-step explanation:

A=-25

B=-4

so B+A=-29

-25+-4=-29

(a+b)/2

Step-by-step explanation:

if a and b are the two end points of a straight line

Answer:

True

Step-by-step explanation:

At least that's what wiki says