Alyssa is jogging near Central Park. She runs along 65th Street for about 0.19 miles, turns right and runs along Central Park West for about 0.28 miles. She then turns right again and runs along Broadway until she reaches her starting point. How long is her total run to the nearest hundredth of a mile?
A: 0.68 miles
B: 0.81 miles
C: 1.15 miles
D: 1.44 miles​

A boat leaves the dock and travels 9 miles due south, then 12 miles due west. Hence, the length of the boat from the dock will be 15 miles.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]  

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

A boat leaves the dock and travels 9 miles due south, then 12 miles due west.

Let x be the length of the boat from the dock.

From the Pythagoras' theorem

[tex]|x|^2 = |12|^2 + |9|^2 \\\\x^2 = 144 + 81\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]

Hence, the length of the boat from the dock will be 15 miles.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

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[tex](2x - 5)( - {3x}^{2} + 4x - 7) \\ - {6x}^{3} + {8x}^{2} - 14x + {15x}^{2} - 20x + 35 \\ - {6x}^{3} + {8x}^{2} + {15x}^{2} - 14x - 20x + 35 \\ - {6x}^{3} + {23x}^{2} - 34x + 35[/tex]

Answer:

-6x^3 + 23x^2 - 34x + 35.

Step-by-step explanation:

(2x - 5) (-3x^2 + 4x - 7)

= 2x(-3x^2 + 4x - 7) - 5(-3x^2 + 4x - 7)

= -6x^3 + 8x^2 - 14x + 15x^2 - 20x + 35

= -6x^3 + 23x^2 - 34x + 35.

Answer:

$3

Step-by-step explanation:

6 x $2 = $12

$15 - $12 = $3

$3 Answer

Answer:

3  is your answer i have the same quiz

Step-by-step explanation:

Answer:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

Step-by-step explanation:

remove parentheses:

[tex] \displaystyle x + 7y = 6x - \frac{2}{3} [/tex]

move x to left hand side and y to right hand side and change its sign:

[tex] \displaystyle x - 6x = -7y - \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle - 5x = \frac{-21y - 2}{3} [/tex]

divide both sides by -5:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

move x to the right hand side and change its sign:

[tex] \displaystyle 7y = 6x - x- \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle 7y =5x- \frac{2}{3} [/tex]

simplify substraction:

[tex] \displaystyle 7y = \frac{15x - 2}{3} [/tex]

divide both sides by 7:

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

and we are done!

Step-by-step explanation:

-1.4 or - 14/10

-1.3 or -13/10

-1.2 or -12/10

-1.1 or -11/10

-1.0 or -1/1

Answer:

B

Step-by-step explanation:

Philip rode less than her so immediately you subtract which cancels answers a and d.

we aren't dividing the answers, he rode 3 TIMES faster, meaning multiply. which is why it's 5

Answer:

262144

Step-by-step explanation:

The sequence increases by a multiple of -4

Therefore, you can either do 4⁹ or you can multiply by -4 until you have done that 9 times

Answer:

x = 103⁰

Step-by-step explanation:

127+40+90+x = 360⁰

257+x = 360⁰

x = 360⁰- 257⁰

x= 103⁰

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

37+82=x(sum of two interior opposite angles is equal to the exterior angle formed)

119=x

therefore x=119 degree

Answer:

The answer is B:8

Step-by-step explanation:

because when you line up the numbers in order

5 6 7 8 11 11 15

The middle number is 8

Answer:

|2| and |14|

Step-by-step explanation:

Answer:

if I am not mistaken I think my answer 56

Answer:

53.4.......

follow me........

Sq:

6*6=36

RG:

13+4=17

17*5=85

4*4=16

36+16+85=137

A= 137 in^2

Answer: Choice D

|-50-12| = |-62| = 62 units

================================================================

Explanation:

Draw out a number line. Mark two points on it at A = -50 and B = 12

The expression |A-B| represents the distance between the two points. So that would be....

|A-B| = |-50-12| = |-62| = 62

Note that negative distance does not make sense. The smallest distance can get is 0. So the result of an absolute value problem is never negative.

-------------------

Slightly alternative method:

If you wanted, you could plot point C on the number like such that C is at 0.

The distance from A = -50 to C = 0 is exactly 50 units

From C = 0 to B = 12 is an additional 12 units

Therefore, the total distance is AC+CB = 50+12 = 62 units

-------------------

Side note: |A-B| is the same as |B-A|. The order of subtraction doesn't matter as long as you use absolute value. If absolute value wasn't there, then A-B is different from B-A.

Answer:

-16 and 24

Step-by-step explanation:

-16 x 24 = -384

-16 + 24 = 8

Answer:

Answer is C.

Step-by-step explanation:

8÷8= 1

1 whole

Answer:

undefined

Step-by-step explanation:

line is straight up and down

Answer:

Undefined. It ends up being 3/0 which can't happen so it remains undefined.

Step-by-step explanation:

Answer: π = 218956.44

Step-by-step explanation:

π = (132π^2)4

π = (54739.11)4

π = 218956.44

Answer:

218956.4

Step-by-step explanation:

Answer:

Here is ur answer :

1. Probability of composing music for a movie is 1

2. To choose the group in 11 th grade , choosing the subject in which it's more probable to score high marks .

3. To decide whether to go out in rain , the probability of getting cold is more than enjoying the rain .

4. Sorry i don't know

Hope the others will help you !!

Answer:

3

Step-by-step explanation:

because two plus two

Answer:

32x²+256x+512

Step-by-step explanation:

f(g(x))=8(2x+8)²=8(4x²+32x+64)=32x²+256x+512

Answer:

F

Step-by-step explanation:

3.5*3=10.5

Answer:

D. relation is a function

hope this helps :-))

Divide each term by −3-3 and simplify.

Inequality Form:

x≥3

Answer:

x≥3

Step-by-step explanation:

Divide both sides by -3.

−3x/ −3 ≤ −9/ −3

x≥3

Answer:

hey I will answer.

Step-by-step explanation:

translation: 1 unit right and 2 units down ... U (-3,-4), M(-1,-1), L(-2,-5) ... R(-4, -3), D(-4,0), L( 0,0), F(0, -3) ... 7) translation: 2 units left and 1 unit down ... D(-4,1), A(-2,5), s-1, 4), N-1, 2).

Answer:

#1

Sum of interior angles is 180:

The law of sines:

#2

The law of cosines:

#3

Same as above:

#4

Sum of interior angles is 180:

The law of sines: