9. A 16-ft ladder is leaning against the side of a house. The ladder touches the ground 9 ft away from the house. What angle does the ladder make with the ground?
Round to the nearest WHOLE number.
Note: this is a trigonometry question

Answer:

Correct answer is C- Money market accounts have higher interest rates than regular savings accounts but with more restrictions

Step-by-step explanation:

took the quiz

Answer:

d = 6.3 units

Step-by-step explanation:

Distance formula:

d=√((x_2-x_1)²+(y_2-y_1)²)

Your ordered pairs (-8, 6) and (-6, 0)

d=√((-6-(-8))²+(0-6)²)

d=√((-6+8))²+(-6))²)

d=√((2)²+ 36)

d = √40

d = 6.32...

d = 6.3

Answer:

0.5

Step-by-step explanation:

11 / 21 = 0.5238

0.5238

* If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Therefore it's 0.5238 = 0.5

0.5 is the decimal number nearest to tenth of 11/21.

A number system is defined as a system of writing to express numbers.

Given,

11/21

Eleven divided by twenty one.

0.5238

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

0.5 is the decimal number nearest to tenth.

Hence, 0.5 is the decimal number nearest to tenth of 11/21.

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Answer:

y ≈ 9.24

Step-by-step explanation:

Using the cosine ratio in the right triangle.

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{y}[/tex] ( multiply both sides by y )

y × cos30° = 8 ( divide both sides by cos30° )

y = [tex]\frac{8}{cos30}[/tex] ≈ 9.24 ( to the nearest hundredth )

Answer:

The way I was taught to do it is to change value into a total fraction, then multiple the numerators together, multiply the denominators together, and finally reduce as far as possible.

7/9 x 5 2/5 = 7/9 x 27/5 = 189/45 = 4 9/45 = 4 1/5

1 3/4 x 4 1/6 = 7/4 x 25/6 = 175/24 = 7 7/24

Answer:

365 Days

Step-by-step explanation:

The moon is at the same speed of the Earth

Answer:

It takes about one month for the Moon to orbit Earth (27.3 days to complete a revolution, but 29.5 days to change from New Moon to New Moon).

Answer:

V≈75.4in³

Step-by-step explanation: This is what I got. I hope its right!

Answer:

Step-by-step explanation:

75.4

The percentage reduction in Caroline's earnings if she decides to go ahead with her plan is 30%.

Since Caroline works 8 hours each day for 5 days a week and she's earns £11 per hour. The amount earned for the week is:

= (80 × 5 × £11)

= £440

When she is planning on reducing her working schedule and only work 7 hours each day for 4 days a week. The amount will be:

= (4 × 7 × £11)

= £308

The percentage reduction will be:

= Difference on amount / Old amount × 100

= (440 - 308) /440 × 100

= 132/440 × 100

= 0.3

= 30%

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Caroline works 8 hours each day for 5 days a week. She's earns £11 per hour. Caroline is planning on reducing her working schedule and only work 7 hours each day for 4 days a week work out the percentage reduction in Caroline's earnings if she decides to go ahead with her plan

Answer:

$390 is the correct answer

Answer:

390

Step-by-step explanation:

(1300)(.05)(6) = 390

Answer:

Piece-Wise Function

Linear Function

Neither one of these always looks like a parabola.

Answer:0.36

or 36

Step-by-step explan: used calculator

Answer:

400/2.5 = 720/x

400x = 720 x 2.5

x = 4.5

Step-by-step explanation:

The required hours it would take to paint the entire platform is given as x/720. Where x is the length of measure of the platform.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
Maya’s crew paints the platform at a rate of 720 feet per hour,
Let the length of the platform be x,
Now,
Divide  the length with the rate, giving the time to paint the complete platform,
Time = length/rate
Time = x / 720

Thus, the required hours it would take to paint the entire platform is given as x / 720. Where x is the length of measure of the platform.

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ANSWER:

2.5x + 100=600

x=200

step by step explanation:

Answer:

Step-by-step explanation:

they want the values of y and x.

DA=BC

DC=AB

so we can tell that given that E is an intersection:

DE=BE

CE=AE

1.999… is exactly the number 2.

Let x = 1.999… . Then 1000x = 1999.999… . Subtract x from this to eliminate the fractional part, and you get

1000x - x = 1999.999… - 1.999…

1000x - x = 1999 - 1

999x = 1998

x = 1998/999 = 2/1 = 2

So p = 2 and q = 1.

Answer:

y = - x + 3

or

x + y = 3

Step-by-step explanation:

Line is passing through the points (3, 0) & (0, 3)

y-intercept (b) = 3

Slope of the line (m) = (3 - 0)/(0 - 3) = 3/(-3) = - 1

Now, required equation of line is given as:

y = mx + b

y = - 1*x + 3

y = - x + 3

or

x + y = 3

try multiplying both side of the equation by 2.

x/2*2=9*2

I think you can solve it yourself :)

Answer:

x=18

Step-by-step explanation:

Answer:

It'll go down

because they're very rare

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

tan(x)/sec(x) = sin(x)

Hint: | Eliminate the denominator on the left hand side.

Multiply both sides by sec(x):

tan(x) = ^?sec(x) sin(x)

Hint: | Express both sides in terms of sine and cosine.

Write secant as 1/cosine and tangent as sine/cosine:

sin(x)/cos(x) = ^?1/cos(x) sin(x)

Hint: | Come to a conclusion.

The left hand side and right hand side are identical:

Answer:  (identity has been verified)

Hope you could understand.

If you have any query, feel free to ask.

Answer:

The answer is B

Step-by-step explanation:

The approximate proportion of all employees who visit the recreational room will be similar to the sample proportion because the sample accurately represents the population.

A survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.

The assumption can be made regarding the proportion of all the employees who visit the recreational room on a regular basis is:

B.) The approximate proportion of all employees who visit the recreational room will be similar to the sample proportion because the sample accurately represents the population.

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Answer:

Step-by-step explanation:

2y - 6 + y = 180   {Co-interior angles}

3y - 6   = 180

      3y = 180 + 6

     3y = 186

       y = 186/3

       y = 62

y + w = 180     {Linear pair}

62 +w = 180

       w = 180 - 62

        w = 118

ΔILK ,

∠L +  ∠ I + ∠K = 180  {Angle sum property of triangle}

w + z + 30 = 180

118 + z + 30 = 180

     z +  148  = 180

               z =180-  148

                z = 32

x = z    {Alternate interior angles}

x = 32

The simplified value of the expression  [tex]log_4[/tex] 256 is 4.

Thus, option (C) is correct.

To evaluate the expression [tex]log_4[/tex] 256, determine the power to which 4 must be raised to obtain 256.

So, the equation can be set up

[tex]4^x[/tex] = 256.

Now, put the value of x one by one as

[tex]4^2 = 16[/tex]

[tex]4^3 = 64[/tex]

[tex]4^4 = 256[/tex]

Thus, when the number 4 raise to the power 4 it gives 256.

Thus, option (C) is correct.

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Answer:

27°

Step-by-step explanation:

We solve the above question using the Trigonometric function of Sine

sin theta = opposite/Hypotenuse

Opposite = 5

Hypotenuse =11

sin theta = 5/11

theta = arc sin (5/11)

theta = 27.035691789°

Approximately = 27°

Angle m<M = 27°

Answer:

m= y2_ y1÷ x2-x1= 4-(-4) ÷ 3-(-2) = 8 ÷ 5

Answer:

second answer

isoceles rigth

Step-by-step explanation:

Answer:

the answer is this 4(c-3)=8 is c=5