Dennis needs to fix a leaky roof on his house but does not own a ladder. He thinks that a 25-foot ladder will be
long enough to reach the roof, but he needs to be sure before he spends the money to buy one. He chooses a
point P on the ground where he can visually align the roof of his car with the edge of the house roof. Help Dennis
determine if a 25-foot ladder will be long enough for him to safely reach his roof.

Answer:

40 feet.

Step-by-step explanation:

The height of the Ferris Wheel is modeled by:

[tex]\displaystyle H(t)=-16\cos\Big(\frac{t}{45}\Big)+24[/tex]

Where H(t) is the height (in feet (assuming)) and t is the time in seconds.

Remember that the value of cosine, regardless of the input, will always be between -1 and 1. That is:

[tex]-1\leq \cos(t)\leq 1[/tex]

So, we can use the two maximums. Testing -1 and 1, we get:

[tex]H(t)=-16(1)+24=8[/tex]

And:

[tex]H(t)=-16(-1)+24=40[/tex]

Therefore, the maximum height of a cabin of the Ferris Wheel will be 40 feet in the air.

Notes:

And the minimum height will be 8 feet.

We are not asked to find t. To do so, however, set H(t) = 40 and find the general solution for t.

Answer:

Please refer to the attached image.

Answer:

i think its 3

Step-by-step explanation:

21/7=3

The second figure OA' divided by first figure OA = 21/7=3

Answer:

B.

Step-by-step explanation:

Only  0.00149, 0.0104, 0.0108, 0.0118, 0.013 are in ascending order.

Answer:

288,000

Step-by-step explanation:

You find 4% of 200,000 which is 8,000. Then you multiply 8,000 by 11 and then add it to 200,000.

Step-by-step explanation:

if X = 1

then f(x)=2×1-8 = 6

I'm not sure

Answer:

A and B

Step-by-step explanation:

54 , 89

Answer:

x=70+50

x=120

tell me if u need explanations or steps

Answer:

I don't know, sorry sweetie

Step-by-step explanation:

You do the work yourself x

Answer:

$14,616

Step-by-step explanation:

The computation of the sales price is shown below:

The regular price is $1,827

And it would be advertised having 8 nights of the regular price so here we assume that the sales price is 8 times of the regular price

so, the sales price is

= $1,827 × 8

= $14,616

Answer:

9i

Step-by-step explanation

Answer:

D I believe

Step-by-step explanation:

if it's going by negative values and positive values then -6 is the lowest and 9 is the highest

Answer:

D

Step-by-step explanation:

Least to greatest means from smallest to largest in simple terms.

So, -6, -4, -2, 2, 5, 9

Answer:

x = 2

Step-by-step explanation:

7x + 3 = 2x + 13

Get all the x on the same side: 7x - 2x = 13 - 3

Subtract: 5x = 10

Divide both sides by 5 to get x = 2.

Plug the found value of x back in to check the answer: 7(2) + 3 = 2(2) + 13

Multiply: 14 + 3 = 4 + 13

Add: 17 = 17

This verifies that x = 2.

Step-by-step explanation:

[tex]7x+3=2x+13\\7x-2x=13-3\\5x=10\\x=2[/tex]

Answer:

a + b + c= 90

30+30+30=90

90=90.

30 is the ans

Answer:

Step-by-step explanation:

50 degree

Answer:

180-120+x-5+x+5=180

60+2x=180

2x=120

x=60

Answer:

11

3

-3

-12

Step-by-step explanation:

Answer:

1) 11

2) 3

3) -3

4) -12

Answer:

I believe it would be y-3=23x-2

answer:

153.94cm²

Step-by-step explanation:

<3

Answer:

52°

Step-by-step explanation:

Let the measure of the third angle be x°.

Since, straight line is broken into three angles. So, the sum of all the three angles will be equal to 180°.

38° + 90° + x = 180°

128° + x = 180°

x = 180° - 128°

x = 52°

Answer:

52°

Step-by-step explanation:

So, we basically know that,

A straight Angle=180°

When it has been broken into 3 pieces, we have gotten one which is 38°and a right angle.

Now , we know that

A right angle= 90°

So, we need to do,

Sum of known angles= 38+90=128°

Lastly,

Unknown angle = 180° - 128° = 52°

Answer:

42 ft²

Step-by-step explanation:

First of all, who makes a hole in this shape?

Anyways,

You're going to want to split the figure into multiple different shapes. We already have a triangle, so I would split the remaining shape into a rectangle and trapezoid.

We can find the area of the triangle easily with the equation 1/2(bh)

So

1/2(2 · 3)

1/2(6)

3

So the triangle is 3 ft²

Now we can find the area of the rectangle.

The measurements will be 3 and 7. It's just base x height so it'll be 21 ft²

Finally the trapezoid.

Base 1: 6

Base 2: 3

Height: 4            (11-7)

Formula: 1/2h (b1 + b2)

1/2 · 4 (6+3)

2(9)

18 ft²

Now just add them together:

3+21+18=42

Hence, your answer is 42 ft²

Answer:

what do u need my guy 0899

Answer:

The mean is 82.727272727273 rounded 83

Step-by-step explanation:

You add all the numbers:

40 + 75 + 80 + 80+ 81 + 84 + 88 + 90 + 92 + 100 + 100= 910

You divide that result by the total of numbers to add, in this case 11

910/11= 82.727272727273

To round any number, consider that if it is 5 or above it you can round it to the nearest hundred.

Just in case

MODE: 100, 80

MEDIAN: 84

9514 1404 393

Answer:

  (x, y) = (10, 6)

Step-by-step explanation:

Any of the usual methods work to solve this: elimination, substitution, graphing, matrix methods. For a "no-work" solution, I prefer a graphing calculator.

__

In the second equation, both x and y have coefficients of ±1, so substitution or elimination can be used with equal ease. Adding x to the second equation gives an expression for y that can be substituted in the first equation.

  y = x -4

  -3x +8(x -4) = 18

  -3x +8x -32 = 18 . . . eliminate parentheses

  5x = 50 . . . . . . . . . add 32, collect terms

  x = 10 . . . . . . . . . . .divide by 5

  y = 10 -4 = 6 . . . . . use the expression for y to find y

The solution is (x, y) = (10, 6).

Answer:

198.95 cm²

Step-by-step explanation:

Circumference = 50cm

C = πD

D = C/π

r = D/2

r = 50/π/2

r= 7.957747…..cm

Area = π r²

A = π x 7.957747….²

A = 198.95 cm² (2dp)

Answer: 4

Step-by-step explanation:

If the foot-long sandwhich is 4 feet long, and is cut into parts that are each 1 foot long, then we need to divide 4 by 1.

4 ÷ 1 = 4, so there will be 4 servings after the sandwich is cut.