A 20 foot ladder is leaning against the side of a building. If the bottom of the ladder is 12 feet away from the base of the building, how far up the side of the building does the ladder reach? Draw a picture and show your work. (2 points)

Answer:

D) 3x + 7y = 49

E) x / 3 = 9

F) 2x + 4

Since that is a right triangle, we can use pythagorean theorem.

[tex]c^2=a^2+b^2[/tex]

solve.

[tex]c^2=40^2+9^2\\\\c^2=1681\\\\\sqrt{c^2}=\sqrt{1681} \\\\c=41[/tex]

the value of x is 41

Answer:

  10,071 years

Step-by-step explanation:

If 'a' is the fraction remaining, it satisfies the equation ...

  a = (1/2)^(t/5750)

Solving for t, we get ...

  log(a) = log(1/2)×t/5750

  t = 5750×log(a)/log(1/2) ≈ -19,101.09×log(a) . . . years

__

If 70.3% is lost, then 1 -0.703 = 0.297 is the fraction remaining. The age is estimated to be ...

  -19,101.09×log(0.297) ≈ 10,071 . . . years

The bones were about 10,071 years old.

Answer:

(5 × 4) - 13 = 7

Step-by-step explanation:

Given that,

→ n = 5

Let's solve the problem,

→ x = n × 4

→ x = 5 × 4

→ [ x = 20 ]

Then 13 less than the product will be,

→ x - 13

→ 20 - 13 = 7

Therefore, the solution is 7.

Answer:

2. Polynomial

3. Not a polynomial

4. Polynomial

5. Polynomial

Step-by-step explanation:

Answer:

Step-by-step explanation:

20+24

⇨2(10+12)

Therefore ⬇︎

2(10+12) is our expression with 2 as a factor for each term ツ

Answer:

D

Step-by-step explanation:

Factor
this is how is should be
x + 2 = 0
=> x = -2
x - 3 = 0
=> x = + 3

Answer:

Step-by-step explanation:

Y= 4x+3 make x the subject

4x = y - 3

x = (y-3)/4

Answer:

1/12 for red marbles

1/12 for black marbles

Step-by-step explanation:

reason why both 1/12 it because you picked a marble first and you brought it back, then you pick again

Answer:

B

Step-by-step explanation:

Answer choice A,C, and D are all linear based on their context. Answer choice B "doubles" resulting in an exponential function.

Answer:

£15.10

x + 20

64 counters in the bag

Total money = £21.30

Step-by-step explanation:

20p = £0.20

50p = £0.50

100p = £1.00

Total value:

⇒ 8 × 20p + 5 × 50p + 11 × £1 = 8 × 20p + 5 × 50p + 11 × 100p

                                                = 160p + 250p + 1100p

                                                = 1510p

                                                = £15.10

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20 more than x:   x + 20

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If one quarter of the counters in a bag are yellow, and there are 16 yellow counters in the bag:

⇒ total number of counters in the bag = 16 × 4 = 64

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Let x = number of 20p coins

Let y = number of 50p coins

Let z = number pf £1.00 coins

Given:

⇒ 0.20x = 2.80

⇒ x = 2.80 0.20

⇒ x = 14

Therefore, there are 14 twenty pence coins.

Given:

We have calculated that there are 14 twenty pence coins, therefore:

⇒ total number of coins = number of 20p × 3            

                                        = 14 × 3

                                        = 42

As the total number of coins is 42:

⇒ x + y + z = 42

⇒ 14 + y + z = 42

⇒ y + z = 42 - 14

⇒ y + z = 28

Therefore, the total number of 50p and £1 coins is 28.

Given:

⇒ y = z + 10

Substitute  y = z + 10  into y + z = 28 and solve for z:

⇒ (z + 10) + z = 28

⇒ 2z + 10 = 28

⇒ 2z = 18

⇒ z = 9

Therefore, there are 9 one pound coins

total number of coins:

⇒  x + y + z = 42

substituting the found values of x and z:

⇒  14 + y + 9 = 42

⇒  23 + y = 42

⇒  y = 19

Therefore, there are 19 fifty pence coins

20p coins = 14

50p coins = 19

£1 coins = 9

Therefore, total money:

= 14 × 20p + 19 × 50p + 9 × 100p

= 280p + 950p + 900p

= 2130p

= £21.30

Answer:

Step-by-step explanation:

P(Walk or Bike)=[tex]\frac{72}{466} +\frac{90}{466}[/tex]

                        =[tex]\frac{81}{233}[/tex]  = 0.347

Answer:

x=72.4

Step-by-step explanation:

Since we have an angle that is facing a known side, we are able to use sine

Step 1- Prepare your equation: sin(∅°)=opposite/hypotenuse

Step 2- Substitute: sin(28°)=34/x

Step 3- Calculate: use a graphing calculator to solve the equation, make sure to have the answer to degrees not radians

Step 4- Answer: 72.4 by calculator

ur wlcm :)

brainliest?

Answer:

first angle is 95

second angle is 95

third angle is 95

the sum of angle in a quadrilateral is 360

therefore 95+95+95°=285

to get the fourth angle=360-285=75

therefore the fourth angle is 75°

Answer:

the difference is the slope

Step-by-step explanation:

y = mx+b

m is the slope

b is the y-intercept

2x+4

3x+4

4x+4

the m constant changes meaning the slope is the difference

Answer:

Step-by-step explanation:

we are being told that each square is one unit.  so,  look at peak to peak and count the units.  

1,2,3,4,5,6,7

From peak to peak is 7 units, so the period is 7

Step-by-step explanation:

here you go hope it helps you

Answer:

980.18 cm^3

Step-by-step explanation:

Volume of cylinder w/out spheres = pi r^2 h

  = pi 8^2 *6

 now subtract the volume of the TWO spheres

      2   * 4/3 pi * 3^3

for result = 980.18 cm^3

Answer:

35x - 7

Step-by-step explanation:

7(5x - 1)

--> 7 x 5×

= 35x

--> 7 x -1

= -7

==> 35x - 1

Hope it helps :))

Answer:

35x - 7

Step-by-step explanation:

Q) 7(5x - 1) = ?

→ 7(5x - 1)

→ 35x - 7

So, the answer is 35x - 7.

Answer:

2/5

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

2 green / 8 total colors

2/8

Simplify to 1/4 of a chance

Answer:

10825 mm³

Step-by-step explanation:

Volume of cylinder shaped stack

Answer:

Radius of cone = 5cm

Step-by-step explanation:

You can figure out a radius of the base of the cone by using Pythagoras as you know the hypotenuse (slant height) and the height of the triangle so:
[tex]13^2-12^2 =radius^2[/tex]

[tex]169-144 =25 = radius^2\\[/tex]

[tex]radius = 5[/tex]cm

Answer:

5cm

Step-by-step explanation:

Answer:

3 gallons

Step-by-step explanation:

Answer:

2 pi

Step-by-step explanation:

Period of the function graphed = 2π

The distance between the repetition of any function is called the period of the function. For a trigonometric function, the length of one complete cycle is called a period.

Given,

Graph of a function.

Period of the function = Distance between two peaks or two troughs in the graph

Period of the function = 2π - 0 = 3π - π = 2π

Hence, 2π  is the period of the function graphed.

Learn more about period of function here:

https://brainly.com/question/28223229

#SPJ2

Answer:

39,485.67

Step-by-step explanation:

Answer:

14 is 269000-2500=266500

Step-by-step explanation:

Answer:

#2 option: [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]slope=\frac{rise}{run} =\frac{y^2-y^1}{x^2-x^1}[/tex]

[tex]\frac{3-(-1)}{4-(-2)}=\frac{-4}{-6} =\frac{-2}{-3} =\frac{2}{3}[/tex]

=  [tex]\frac{2}{3}[/tex]

Answer:

it is 20 miles per gallon