An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 29 feet up. The ladder makes an angle of 71^{\circ} ∘ with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary

531,441

solution:

Multiply.

(9²)³

Multiply 9².

9 x 9

9² the 2 means multiply to itself.

so 9x9 is equal to (81)³

Now multiply it again

81 x 81 x 81

= 531,441

Answer:

A = 26

Step-by-step explanation:

sum of students = classA + classB + classC

let's say classA = A, classB = B, and classC = C

A + B + C = 66

class A has five more students than class B, so A = 5 more than B so A = 5+B

class C has 2 less students than class B, so C = 2 less than class B = B -2, so C = B-2

A + B + C = 66

A = 5+B

C = B-2

substitute 5+B for A and B-2 for C in the first equation to limit this to one variable (B)

(5+B) + B + (B-2) = 66

3B + 3 = 66

subtract 3 from both sides to isolate the variable and its coefficient

3B = 63

divide both sides by 3 to solve for B
B = 21

A = 5 + B = 5 + 21 = 26

Answer:

3+5(n-1)

Step-by-step explanation:

first term (a)=3

common difference (d)=5

they an=a+(n-1)d

=>3+(n-1)5

=>3+5(n-1)

Answer:

160

Step-by-step explanation:

P(advance math | 7th grader) = 14/35 (sample size 35)

Estimated advance math 7th grader in school = 400 * 14/35

= 160

Answer: 160 people can be expected to be in advanced math

Step-by-step explanation:

14 ÷ 35 = 0.4

⇒ what is 40% of 400?

⇒ 0.4 × 400

⇒ 160 people

Answer:

50

Step-by-step explanation:

3745 divided by 75 = 49.93

Round to 50

Hope this helped :)

Answer:7/18

Step-by-step explanation:

P(R) =4/18

P(Y)= 3/18

BOTH = 4/18 + 3/+18

Answer:

C is equal to any number that is greater than 16.

Step-by-step explanation:

1. c - 12 > 4

2. c > 16

Answer:

if u are talking about completing the table then that's easy

Answer:

D

Step-by-step explanation:

A  no   = 1/5

B no   = 4

C  no   = 1/3

D   yes

E     no = 17/50

26/104

the correct option is 26/104 because if 26 divides 26/104 it will give 1/4 because

26÷26= 1

104÷26=4

therefore, the correct option is 26/104

Answer:

scale factor of 1/3 from the big rectangle to the small rectangle

Step-by-step explanation:

Hope this helps! Please mark me as brainliest:)

Hi!

Given these two equations:

[tex]x = y + 8[/tex]

[tex]x + 4 = 2(y + 4)[/tex]

We want to solve using the substitution method. Knowing that x is equal to y + 8, we can simply plug in 'y + 8' in for x in the second equation, like so:

[tex](y+8)+4=2(y+4)[/tex]

Combine like terms on both sides:

[tex]y+12=2y+8[/tex]

Subtract y from both sides:

[tex]12=y+8[/tex]

Subtract 8 from both sides:

[tex]y=4[/tex]

Now, we can simply plug the y value in to the first equation, and solve for x:

[tex]x=4+8[/tex]

Simplify:

[tex]x=12[/tex]

Learn more about the substitution (and also elimination!) method here:

https://brainly.com/question/14619835

Answer:

477.28cu m

Step-by-step explanation: R (8) x3.14 (pi) is 25.12,  25.12x19=477.28

Answer:

8199.56 inches²

Step-by-step explanation:

A=2πd

2h+2π(d

2)2=2·π·30

2·72+2·π·(30

2)2≈8199.55683in

Answer:

6

Step-by-step explanation:

1 /4 x^2 = 9     (Given)         Multiply both sides of the equation by 4

x^2 = 36               sq rt both sides

x = 6

Answer:

The answer is 258

Step-by-step explanation:

10+15+20+25+1221= 1291

1291 divided by 5 equals 258 with a remainder of 1

Answer:

Height = 10 cm

Step-by-step explanation:

To find the height of the rectangular prism, we need to use the volume equation of rectangular prisms:

V = l * w * h

l = length

w = width

h = height

We know the length (12.5 cm), width (7.5 cm), and the volume (937.50 [tex]cm^{3}[/tex]).

Plug all these into the equation and solve for the height:

937.50 = (12.5)(7.5)h

937.50 = 93.75h                           Multiply 12.5 by 7.5

10 = h                                             Divide 937.50 by 93.75 to get h.

Therefore, the height of the rectangular prism is 10 cm.

Let's check our answer by plugging all values into the volume equation:

937.50 = (12.5)(7.5)(10)

937.50 = 93.75 (10)                      

937.50 = 937.50                           Both values are equal so 10 is correct!

I hope this helps! Good luck!

Answer:

(10,6)

Step-by-step explanation:

of you start at (8,6) X is left and right and Y is up and  down so yoy move left 6 unites meaning your now at (2,6) then you move right so you go back again and now you have (10,6) Hope this helps

Answer:

8 units

Step-by-step explanation:

» Concepts

Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.

» Application

In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.

» Solving

Step 1: Subtract q from both sides.

Step 2: Add 8 to both sides.

Step 3: Divide both sides by 3.

Step 4: Plug in the value of q for side AB.

Therefore, the answer is 8 units.

Answer:

linear

Step-by-step explanation:

Answer:

bec97 is right it is linear

Step-by-step explanation:

y = 10 + 2x

Have a nice day! :)

Answer:

15/40 or simplified 3/8

Step-by-step explanation:

Answer:

238 cm

Step-by-step explanation:

so we have a scale factor   of  17: 1

originally we had the dimensions:   3cm by 4m

now we have    3*17  by 4*17  = 51 cm by 68 cm

Perimeter = 2*51 + 2*68 = 238 cm

Answer:

360 cm

Step-by-step explanation:

The height of the magnified image is the product of the height of the original image and the scale factor.

h=15(7) cm.

Simplify.

h=105 cm.

The width of the magnified image is the product of the width of the original image and the scale factor.

w=15(5) cm.

Simplify.

w=75 cm.

So, the perimeter is

P=2(75)+2(105) cm.

Simplify.

P=360 cm.

Therefore, the perimeter of the painting is 360 cm.

Answer:

the length in ft would be 0.52 but im not entirely sure hope this helps!

Step-by-step explanation:

Answer:

increase

Step-by-step explanation:

CONCLUSION: Median will increase if the number 71 replaced one of the 67's in the set.

Answer:

9 ^ 12

Step-by-step explanation:

Use the power rule - (x^a)^b = x^ab

---- > 9 ^ 12

The answer would be:

282429536481

Answer:

view explanation, please

Step-by-step explanation:

If the variable is the same and you are multiplying: add the exponents.

[tex]Z^8 * Z^6 = Z^8+^6[/tex]

8+6=14

If the variable is the same and you are dividing: subtract the exponents.

[tex]Z^1^4-^8=Z^6[/tex]

Answer:

The answer is Z⁶

Step-by-step explanation:

Cancel the common factor, Z⁸

Functions can be represented using equations and graphs Both f(x) and g(x) include domain values of [4, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.

The domain of the function is defined as the set of the numbers we are allowed to put in the function while the range is the assumed data put in the function.

The functions are given as:

[tex]F(x)=e^{-x}\\\\\\g(x)=-\sqrt{x-4}[/tex]

Using a graphing calculator:

The domain of g(x) is [4, ∞)

The range of g(x) is  [0, ∞)

The domain of f(x) is  (–∞, ∞),

The range of f(x) is  [0, ∞)

Both functions have positive values for their domains

By comparing the above highlights, the true statement between functions g(x) and f(x) is option 3

Read more about function domain and range at:

brainly.com/question/10197594

#SPJ1

Answer:

Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).

Step-by-step explanation:

I got it right on the test.

Answer:

  P(X > 8) = 5/18

  P(X mod 5 ≠ 0) = 29/36

Step-by-step explanation:

You want various probabilities related to the sum of two dice.

Please refer to the attached chart of possible outcomes. There are 4 ways to roll a 9, 3 ways to roll a 10, 2 ways to roll 11, and one way to roll 12. That means there are 4+3+2+1 = 10 ways to roll a number greater than 8.

 P(X > 8) = 10/36 = 5/18

It is easier to count results that are divisible by 5. Then the difference between that number and 36 will be the number of outcomes not divisible by 5.

5 can be rolled 4 ways, and 10 can be rolled 3 ways. A total of 4+3 = 7 of the 36 outcomes are divisible by 5. That means 36 -7 = 29 are not divisible by 5.

  P(X not divisible by 5) = 29/36

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