What does the a equal in this problem: 27 = 3°?​

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:

-16 and 24

Step-by-step explanation:

-16 x 24 = -384

-16 + 24 = 8

Step-by-step explanation:

[tex]from \: boyle 's \: law \\ P _{1}V _{1} = P _{2} V _{2} \\ (4 \times 20) = (P _{2} \times 5) \\ P _{2} = \frac{(4 \times 20)}{5} \\ P _{2} = 16 \: atm[/tex]

Answer:

For #9 it can be 4,6, or 7

#10 is angle 3

#11 is 134

#12 is 49

Step-by-step explanation:

#9 just look at the picture given and see which one is opposite from it

#10 look at which one is beside it but that the ’half‘ circles are facing each other

#11 and #12 subtract the angles they give you and see if they are next to each other and if they are that subtract the number they give you by 180-the degrees of a line

Answer:

52ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

cylinder's height=3×(diameter of sphere)=3×6=18 cm

radius of cylinder=3 cm

volume of cylinder=π r²h=π(3)²×18=162 π cm³

volume of sphere=4/3 π(3)³=36 π cm³

reqd. empty space=162 π-3×36π=54 πcm³

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:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

15^2 = 9^2 + x^2

x^2 = 15^2 -9^2

x^2 = 225-81

x^2 = 144

x = 12

Answer:

19g^2

Step-by-step explanation:

Answer:

144 I think????? ????????

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:

Answer is C.

Step-by-step explanation:

8÷8= 1

1 whole

[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:

because two plus two

Answer: ghrhuydduyfgjrguh

Step-by-step explanation:

jcjdmsjskskms

jsjsksjsmsjdjskaowkdndnd

jsjsksisjsjdhdjeiwksjd

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:

it is a 1

Step-by-step explanation:

Answer:

21 / 252

Step-by-step explanation:

Recall : nCr = n! ÷ (n-r)!r!

The total possible outcome ; 5 questions out of 10

10C5 = 10! ÷ 5!5! = (10*9*8*7*6)÷(5*4*3*2*1) = 252

Required outcome :

All 5 questions set being from the 7 questions covered and 0 from the 3 left uncovered

7C5 * 3C0

7C5 = 7! ÷ 2!5! = (7*6) ÷ (2*1) = 21

3C0 = 3! ÷ 3!0! = 1

Probability = required outcome / Total possible outcomes

P(All 5 questions prepared for appears) :

[7C5 * 3C0] ÷ 10C5

(21 * 1) / 252

= 21 / 252

Answer: 37, [tex]\frac{x+2}{7}[/tex]

Step-by-step explanation:

Given

[tex]f(x)=7x-2\\g(x)=x^2+1\\h(x)=3x[/tex]

now,

[tex]g(h(x))=(3x)^2+1\\g(h(x))=9x^2+1[/tex]

for x=2

[tex]g(h(2))=9\cdot (2)^2+1\\g(h(2))=36+1\\g(h(2))=37[/tex]

Inverse of [tex]f(x)[/tex] is given by

[tex]y=7x-2\\x=\dfrac{y+2}{7}\\\\f^{-1}(x)=\dfrac{x+2}{7}[/tex]

Answer:

50.27

Step-by-step explanation:

remember that the circumference of a circle is 2πr

so 3.15x8 and then multiply by two

Answer:

200.96 ft²

Step-by-step explanation:

Step 1: Define/formula

To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.

[tex]a=\pi r^2(3.14*radius*radius)[/tex]

Step 2: Solve

According to the word problem, the radius is 8.

From here, we plug the numbers into the formula.

[tex]\pi 8^2(3.14*8*8)=200.96ft^2.[/tex]

Step 3: Conclude

Therefore, the area of this circle is 200.96 ft.²

Answer:

a

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 !!

I'll help.

A student needs 15 minutes to solve an algebra problem. How many minutes does the student need to solve 5 problems?

it's easy, you only need to divide 15 by 5.

Like this :

15÷5= 3

• because 5×3 = 15 , so you just need to flip it over

so, the student need 3 minutes to solve 5 problems

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:

[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!

Answer:

0.25 is a decimal

Step-by-step explanation:

[tex]\\ \tt\longmapsto 132\pi=A4[/tex]

[tex]\\ \tt\longmapsto A=\dfrac{132\pi}{4}[/tex]

[tex]\\ \tt\longmapsto A=33\pi[/tex]

Answer:

I need this tooo, did u find it??

Step-by-step explanation: