“Type your answer in the box below without units” HELPPPPP

Answer:

the cheetah traveled 243 m, it could not catch up with the gazelle that traveled 245 m.

Step-by-step explanation:

Given that

Cheetah running at 90 km/h

Separated from a distance of 20 m

Now speed is 97 km/h

The time is 9 seconds

We need to find out whether it would catch up with the gazelle

For  Gazelle

90 km = 90 × 1,000 = 90,000 m

1 h = 1 × (60 x 60) = 3600 s

Now

90,000: 3,600 = 25 m / s

For Cheetah

97 Km = 97 × 1000 = 97,000 m

1 h = 1 × (60 × 60) = 3600 s

Now

97 000: 3600 = 26.94 i.e. 27 m/s

e = 27 m /s × 9 s = 243 m  

e = 25 m/s × 9 s = 225 m

Now

we have to add  20 m advantage to the gazelle.

So,

= 225 + 20

= 245 m

So based on the above calculation

the cheetah traveled 243 m, it could not catch up with the gazelle that traveled 245 m.

Answer: 6 hours

Step-by-step explanation:

48/6 = 8

36/6 = 6

Answer:

AB = 5

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

=> 3² + 4² = AB²

=> AB = [tex]\sqrt{3^{2}+4^{2} }[/tex]

=> AB = 5

Answer:

x = 13

Step-by-step explanation:

BD is the hypotenuse of the smaller triangle and corresponds to 2x - 7.  51 is the longer leg of triangle EFG

The ratio of the two hypotenuses is (2x - 7)/57, and the ratio of the two longer legs is (x + 4)/51.  These ratios are equal to one another.  Thus:

2x - 7      x + 4

--------- = ---------

   57          51

Cross multiplication results in 51(2x - 7) = 57x + 228, or

102x - 357 = 57x + 228

Combining like terms, we get:

45x = 585, and so x = 13.

Answer:its 70 i did it on savas

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Start from left to right

Answer:

Step-by-step explanation: it is jedn

Answer:

Sorry i just needed points.

Step-by-step explanation:

Answer:

28=x

78=y

Step-by-step explanation:

The lines are perpendicular so 78 would be the same for the top line. So the equation fill in would be (5x-62)=78 turning x into 28

Answer:

Graph F

Step-by-step explanation:

Given

x + 3 < 7 ( subtract 3 from both sides )

x < 4

Since x is less than 4 then this is indicated by an open circle at 4 on the number line with the arrow pointing to the left as shown on graph F

Answer:

The probability of the coin landing on heads 3 out of 8 times is 0.22, but the closest thing to that is 0.219.

Answer:

Step-by-step explanation:

The answer is exactly 0.219

You have 8 objects and you want to choose 3 of them. 8 Choose 3 looks like

8 * 7 * 6 / 3!

3! = 6

So the answer is 8*7 = 56

There are 2^8 = 256 ways you can throw either heads or tails.

The number of successes = 56/256 = 0.219 The nine is rounded.

Answer:

i am REALLLYYY not sure about my answer but i think its 6. i dont recommend you to put that answer in lol

Step-by-step explanation:

6 = 3/3

Answer:

$4,499.46

Step-by-step explanation:

after year 1 $4160, after Year 2 $4326.40, after 3 years $4499.46

Answer:

1. p=54

2. -2n - 14

Step-by-step explanation:

1. Combine multiplied terms into a single fraction  

Multiply by 1  

Subtract   7 from both sides of the equation

2. not quiet sure so sorry if you get it wrong

Answer:

there you go

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

D

Answer:

D

Step-by-step explanation:

Answer:

This is a right traingle right? AC =129 is so

Step-by-step explanation:

Answer:

I think it is the orange or the pink.  

Step-by-step explanation:

Answer:

tan45° = x/13

x=13

now y = √13²+13²

y =13√2

Answer:

x = 13

y = 13sqrt(2)

Step-by-step explanation:

it is a 45 - 45 - 90 triangle

Answer:69

Step-by-step explanation:

A) $16

B) p(x) = 16x -800

C) 69 ticketsn:

A) The total of expenses is ...

$280 +100 +20 +400 = $800

If this is covered by 50 tickets, then a ticket must provide revenue of ...

$800/50 = $16

The cost per ticket is $16.

__

B) The profit is the difference between revenue and expenses. The revenue from sale of x tickets will be 16x. The expenses are fixed at 800, so the profit is ...

p(x) = 16x -800

__

C) We can find the number of tickets to sell (x) in order for profit to be at least $300 by solving the inequality ...

p(x) ≥ 300

16x -800 ≥ 300 . . . . . use the expression for p(x)

16x ≥ 1100 . . . . . . . . . add 800

x ≥ 68.75 . . . . . . . . . . divide by 16 . . . (the least satisfactory integer is 69)

In order to raise at least $300, the number of tickets sold must be at least 69.

Answer:

16.5

Step-by-step explanation:

Answer:

16.50

Step-by-step explanation:

5.50 divided by 2 is 2.75

2.75 times 6 is 16.50

Answer:

15

Step-by-step explanation:

Answer:

FV= £12,362.7

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= £12,000

Number of periods (n)= 2 years

Interest rate (i)= 1.5% = 0.015

To calculate the Future Value, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 12,000*(1.015^2)

FV= £12,362.7

Answer: d

Step-by-step explanation:

The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months

Answer:

61.97 feets

Step-by-step explanation:

Using trigonometry :

Horizontal distance between the person and building,

Let distance = d

Tan 15 = 15 / d

0.2679491 * d = 15

d = 15 / 0.2679491

d = 55.980781

To obtain the height, h :

tan 40 = (h-15)/d

d = 55.98

h-15 = 55.98 (tan 40°)

h - 15 = 55.98 * 0.8390996

h - 15 = 46.972797

h = 46.972797 + 15

h = 61.972797

h = 61.97 feets

Answer:

683cm

Step-by-step explanation:

Pay attention next time

Answer:

[tex] \displaystyle A_{ \text{surface}} = 42cm ^{2} [/tex]

Step-by-step explanation:

we are given the base area of a cube

recall the surface area formula of a cube

[tex] \displaystyle A_{ \text{surface}} = 6( {a}^{2} )[/tex]

notice that, we are given the base area 7cm² in other words we are given a² i.e 7cm²

Thus substitute:

[tex] \displaystyle A_{ \text{surface}} = 6( 7 )cm ^{2} [/tex]

simplify multiplication:

[tex] \displaystyle A_{ \text{surface}} = 42cm ^{2} [/tex]

and we are done!

Answer:

9 units

Step-by-step explanation:

Given

[tex]Length = 8[/tex]

[tex]Width = 4[/tex]

[tex]Height = 1[/tex]

Required

Determine the length of the longest segment

To do this, we use:

[tex]Longest = \sqrt{Length^2 + Width^2 + Height^2}[/tex]

So, we have:

[tex]Longest = \sqrt{8^2 + 4^2 + 1^2}[/tex]

[tex]Longest = \sqrt{64 + 16 + 1}[/tex]

[tex]Longest = \sqrt{81}[/tex]

Take positive square root

[tex]Longest = 9[/tex]

Hence, the length of the longest segment is 9 units