Someone help with this please!

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

#SPJ2

Answer:

|2| and |14|

Step-by-step explanation:

Answer:

if I am not mistaken I think my answer 56

Answer:

Step-by-step explanation:

time=1 years

interest=principal*time*rate/100

=8000*1*8/100

=64000/100

=640

therefore interest=640

Answer:

Compound Interest = 9680

Step-by-step explanation:

The formula of Compound Interest: [tex]A = P(1 + \frac{r}{n} )^n^t[/tex]

Where;

A = Compound Interest

P = Principal amount

r = Rate of interest

n = amount of deposite annually

t = total time

Therefore:

[tex]A = 8000(1 + \frac{0.08}{1})^1^*^2^.^5[/tex]

[tex]A = 8000(1 + 0.08)^2^.^5[/tex]

[tex]A = 8000(1.08)^2^.^5[/tex]

A = 8000(1.21)

A = 9680

Therefore, the compound interest = 9680

Hope this helps!

Answer:

Solution given:

now

base[b]=8

hypotenuse [h]=17

perpendicular [p]=15

by using Pythagoras law

p²+b²=h²

15²+8²=17²

289=289

It satisfied so

AB is a tangent to the circle.

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:

F

Step-by-step explanation:

3.5*3=10.5

Answer:

y = 5

Step-by-step explanation:

cross-multiply:

6y = 30

y = 5

Answer:

The area of the shade is 12 feet

Step-by-step explanation:

To find the area you would do 6 * 4 which equals 24 but with every triangle you have to cut the area in half so the actual answer would be 12 feet

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: 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:

Step-by-step explanation:

the balloon starts at  (10, 0 )

it ends at  16,0)

in the middle it's at between 10 and 16 , so say about 13, where it reaches 27

so in the middle it's (13,27)

so  ( 11, 9)

(12, 18)

got 13

(14, 18)

(15, 9)

got 16

:P

Answer:

3

Step-by-step explanation:

because two plus two

Answer:

[tex]6\:\text{cups}[/tex]

Step-by-step explanation:

Since the proportion is maintained, we can set up the following proportion:

[tex]\frac{2/3}{1}=\frac{x}{9}[/tex], where [tex]x[/tex] is the amount of glitter, in cups, Mindy will use to make 9 cups of glittery paint.

Cross-multiply to get:

[tex]1x=9\cdot \frac{2}{3},\\x=9\cdot \frac{2}{3}=\boxed{6\:\text{cups}}[/tex]

Answer:

V = 340.339

Step-by-step explanation:

V = [tex]\frac{\pi r^{2} h }{3}[/tex]

V = [tex]\pi[/tex][tex](5)^{2}[/tex] [tex]\frac{13}{3}[/tex] = 25[tex]\pi[/tex] [tex]\frac{13}{3}[/tex]  = about 340.3392 = 340.339

Answer:

340.17 ft.

Step-by-step explanation:

Using the formula, πr²h ÷ 3 (3.14 × radius × radius × height ÷ 3), we can plug-in the unknown values.

'r' means radius; 'h' means height; 'π' means pi.

The radius is 5; the height is 13.

πr²h (3.14 × radius × radius × height ÷ 3) - π5² × 13 = 340.166666667 (3.14 × 5 × 5 × 13 ÷ 3 = 340.166666667)

340.166666667 ≈ 340.17

Therefore, the area of this circular cone is 340.17 ft.

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:

12

Step-by-step explanation:

Answer:

Coping is very bad habit.... sorry I will not answer your question because ur coping...

Answer:

A. Quadrilateral

B. 360° = 2(82°) + 2( 3x - 1 )°

C. f(x) = ( 3x - 1 )

Step-by-step explanation:

360° = 164° + (6x - 2)°

360° - 164° + 2 = 6x

196° = 6x

x = 196°/6

x = Rationalize(32.33333333333)

Answer:

D. relation is a function

hope this helps :-))

Answer:

4

Step-by-step explanation:

Answer: 7

Step-by-step explanation: because it is 5 spaces over

Answer:

For every 5 lunges, 4 pushups

Step-by-step explanation:

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:

-16 and 24

Step-by-step explanation:

-16 x 24 = -384

-16 + 24 = 8

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

Sq:

6*6=36

RG:

13+4=17

17*5=85

4*4=16

36+16+85=137

A= 137 in^2

Answer:

no

Step-by-step explanation:

Answer:

53.4.......

follow me........

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