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2 years ago

Find the distance between the points (-6,7) and (0,8)

1 answer:

8 0

We can solve this problem by using the distance formula. The distance formula is: $\sqrt{(x_{1}-x)^{2} + (y_{1} - y)^{2}}$ We can now put in values and solve.

$\sqrt{(-6-0)^{2} + (7-8)^{2}}$

$\sqrt{36 + 1}$

$\sqrt{37}$

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Nyoko needs to be at school at 7:45 AM. It takes her 15 minutes to walk to school, 5/12 hour to eat breakfast, 0.7 hour to get d

defon

So, she wants to be at school at 7.40 (5 mins early)

she needs:

15 mins
5/12 hours (which is $\frac{5}{12} = \frac{25}{60}$ , so 25 mins

so far: 40 mins

then 0.7 and 0.15: we can add those, since they're in decimals: 0.85.

how many minutes is this?

$\frac{85}{100} *60= \frac{85}{10} *6=\frac{85}{5} *3=\frac{13}{1} *3=39$

so 39 mins.

together with the previous 40, it's 79 minutes, which is 1 hour and 19 minutes: so she needs to wake up 1 hour and 19 minutes before 7.40 , which is

6.21!

6 0

2 years ago

If 5t = 3p what is the ratio of t to p

ratelena [41]

All you have to do is put it in fraction form, this is the answer: 5/t=3/p

4 0

2 years ago

To get to his office from home, Greg walks 7 blocks north and then 3 blocks east. After work he meets some friends at a cafe; to

Natali [406]

Answer:

The straight-line distance in feet is 4.174,20

Step-by-step explanation:

To get this straight-line distance we can imagine both locations in a chart.

Work will be point (3, 7) (7 blocks north and then 3 blocks east)

Cafe must be calculate from the first point. Greg walks 2 blocks south (5)and 6 blocks west (-3)

Cafe= (-3, 5)

Formula of Distance between two points

d (P₁ y P₂)=√ ((x₂-x₁ )²+ (y₂-y₁ )²)

d (P₁ y P₂)=√ ((-3-3 )²+ (5-7 )²)

d (P₁ y P₂)=√ ((-6 )²+ (-2 )²)

d (P₁ y P₂)=√ (36+ 4)=√40= 6,3245 blocks

Each block is 660 feet long

The straight-line distance in feet is

d=6,3245 blocks *660 feet/block=4.174,20 feet

7 0

2 years ago

In a new card game, you start with a well-shuffled full deck and draw 3 cards without replacement. If you draw 3 hearts, you win

lyudmila [28]

Answer:

Expected pay winning $50= $0.585

Expected pay winning $25= $2.36

Expected pay for anything else= $-4.35

Expected returns=3.59

Expected value for one play= $(-1.41)

Do not play this game because you will lose $1.41

Step-by-step explanation:

Probability P(3 hearts) = (13/52)×(12/51)×(11/50) = 0.013

Probability P(3black)= (26/52)×(24/51)×(23/50) = 0.118

Probability P(drawing anything else)= 1 - 0.013 - 0.118= 0.869

Expected pay($50)= 0.013$(50-5)= $ 0.585

Expected pay($25)= 0.118(25-5)$ = $2.36

Expected pay for anything else= 0.869(0-5)$ =$(-4.347)

Expected value of one play=$ (0.585 + 2.353 -4.347) = -$1.41

c) Do not play the game.

6 0

2 years ago

How do you round 38,288 to the nearest 100

lys-0071 [83]

Consider the number 38,288

Now, we have to round this number to the nearest hundreds place.

The place value to the extreme right of the number is ones, then tens, hundreds, thousands, ten thousands and so on.

So, the digit at hundreds place = 2

Consider the digit to the right of the hundred place which is '8', which is greater than 5.

Therefore, we will add '1' to the digit at hundreds place.

Therefore, the number 38,288 rounded to nearest hundreds is 38,300.

8 0

2 years ago

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