If you place a 37-foot ladder against the top of a building and the bottom of the ladder is 22 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot

Answer:

96

Step-by-step explanation:

Its a pattern :) BTW can you help with mine please

Answer:

a=4bc

a=4(4)(-3)=-48

a= - 48 when b equals to 3 is equals to - 8

The required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.

When a variable varies jointly as two other variables, it means that the relationship between the variables can be expressed using direct variation. In this case, we have that "a varies jointly as b and c."

To find the value of a when b = 4 and c = -3, we can set up the proportion based on the direct variation relationship:

a/bc = k

where k is the constant of variation.

Substituting the given values:

a/(4)(-3) = k

Simplifying, we have:

a/-12 = k

Now, we can find the value of a when b = 4 and c = -3 by substituting these values into the equation and solving for a:

a/(-12) = k

a/(-12) = -96/-12 (since k = -96 when b = 3 and c = -8)

a = 96

Therefore, the required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.

Learn more about direct variation here:

https://brainly.com/question/29150507

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Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Purchase price=  $47,000  

Salvage value= $2,900  

Useful life= 5 years

To calculate the annual depreciation, we need to use the following formula:

Annual depreciation= (original cost - salvage value)/estimated life (years)

Annual depreciation= (47,000 - 2,900) / 5= $8,820

The accumulated depreciation is calculated as follow:

Accumulated depreciation= years of depreciation*annual depreciation

For year 4:

Accumulated depreciation= 8,820*4= $35,280

Finally, the book value is:

Book value= purchase price - accumulated depreciation

Year Annual depreciation Accumulated depreciation Book value

1                 8820                                8820                  38180

2                 8820                                17640                  29360

3                 8820                                26460                  20540

4                 8820                                      35280                 11720

5                 8820                                 44100                    2900

Answer:

[tex]134.56[/tex]

Step-by-step explanation:

Break 11.6 into addenda.

[tex](11 + 0.6)[/tex]

Apply the binomial expansion method.

[tex](11 + 0.6)(11 + 0.6)[/tex]

[tex]11 {}^{2} = 121[/tex]

[tex]2(11)(0.6) = 13.2[/tex]

[tex]0.6 {}^{2} = 0.36[/tex]

Add them all up and you get.

[tex]134.56[/tex]

Answer:

C or D

Step-by-step explanation:

Answer:

15.)  104 ... I hope angles are not drawn to scale

16.)  144

17.)  37

Step-by-step explanation:

15.)

3x + 10 = 4x -12

22 = x

so 3x +10 = 76

180 - 76 = t = 104

16.)

2(21) + 36 + 90 + bcd + a = 360

a = 90 - 21 = 69

360 - (2(21) + 36 + 90 + 69) = bcd

bcd = 360 - 237 = 123

angle acd = 21 + bcd = 21 + 123 = 144

17.)

(5x - 7) + 90 + (3x + 1) = 180

8x -6 = 90

8x = 96

x = 12

so 5x - 7 = 53

90 - 53 = angle lmn = 37

Answer:

Two figures are similar if the figures have the same shape but different sizes.

Then if we have two figures X and X'

Such that one dimension of X is D, the correspondent dimension on X' will be:

D' = k*D

Such that k is the scale factor that relates the figures.

1:k

Because all the dimensions will be rescaled by the same scale factor k, we can conclude that any surface on X will be related to the same surface in X' by:

S' = k^2*S

then the ratio of the surfaces is:

1:k^2

While the relation between the volumes will be:

V' = k^3*V

Here the ratio is:

1:k^3

Ok, in this case we have two cylinders

We know that the ratio between the base area ( a surface) is:

9:25

a) We want to find the ratio: curved surface area of A : curved surface area of B

Because again we have a surface area, the ratio should be exactly the same as before, 9:25

b) height of A : height of B

In this case, we have a single dimension.

Because in the rescaling of a surface we need to use k^2, then we can conclude that the ratios:

9:25

is related to k^2

Then the ratio, in this case, is given by applying the square root to both sides of the previous ratio, so we get:

√9:√25

3:5

This is the ratio of the heights.

Also from this we could get the value of k, that is the right value when we leave the left value equal to 1, we can get that if we divide both sides by 3.

(3/3):(5/3)

1:(5/3)

Then:

k = 5/3

Answer:

N (3×4) or (N×3) 4

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Uh, I'm guessing what is being asked here is to solve, so, time to distribute.

(6 - 2.5)(8 + 4)

48 + 24 - 20 - 10

42

Answer:

Step-by-step explanation:

Total outcomes:

Outcomes with same numbers on both dice:

Outcomes with different numbers on both dice:

Probability of different numbers on both dice:

I believe that the answer is $426,960.

I hope this helps!

Answer:

32600

Step-by-step explanation:

Your answer would be C (8,15,17) and E (15,20,15) or is it 25?

Step-by-step explanation:

:)

Answer:

[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]

Step-by-step explanation:

we want to figure out the equation of a sine function that has the following characteristics.

the standard form of sine function is given by

[tex] \displaystyle y = a\sin(bx-c)+d[/tex]

where:

Finding a and phase shift:

a and c is simply given which is

finding b:

using the equation we acquire:

[tex]\dfrac{2\pi}{b}=9\pi[/tex]

solving the equation for b,we obtain:

b=2/9

finding d:

Since d Isn't mentioned, we would assume it 0

finding the equation:

substitute what we got:

[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]

and we're done!

Answer:

2 real solutions

Step-by-step explanation:

The formula for determining the discriminant is b² - 4ac.

So, let's identify our variables.

a = 1

b = 3

c = 2

Now, we can plug in our values.

3² - 4(1)(2)

9 - 8

1

1 is the discriminant of this function, and since 1 is positive, this indicates that there are two distinct real number solutions.

Answer:

10m+10

Step-by-step explanation:

5x2=10

5x2m=10m

10m+10

Answer:

I think B and D

Step-by-step explanation:

I’m not 100% sure tho

Answer:

36x

Step-by-step explanation:

I believe this should be the answer. I hope it helps.

Step-by-step explanation:

That 'd be the square root of 300, which is equivalent to 10sqrt(3).

Answer:

1.the square pan is larger by 12 inches

40 cm^2

Step-by-step explanation:

The difference in size can be determined by calculating the difference between the perimeter of the square pan and the circumference of a circle

perimeter of a square = 4 x length

14 x 4 = 56 inches

Circumference of a circle = πD = (22/7) x 14 = 44 inches

Difference in size = 56 - 44 = 12 inches

Area of a rectangle = length x width

10 x 4 - 40 cm^2

Answer: $5175.75

Step-by-step explanation:

The amount that is paid in total to buy the stock will be gotten through the addition of the cost of the shares and the commission paid. This will be:

= (200 × $25.75) + $25.75

= $5150 + $25.75

= $5175.75

Therefore, the total amount that is paid to buy the stock will be $5175.75.

Answer:cdjbskbbN

Step-by-step explanation:2 2/4

Answer:

$7.50

Step-by-step explanation:

10 - 2.50 = 7.50

Answer:

2 km east and 10 km north

Step-by-step explanation:

I did the activity and got the right answer.

By evaluating the inequalities, we will see that the correct option is: 2 km east and 10 km north

Here we have the inequalities:

(x - 20)^2 + (y - 14)^2 ≤ 625

(x + 8)^2 + (y - 3)^2 ≤ 196

Where, x is the distance due east, and y is the distance due north.

So we just need to find which of the given options makes both inequalities true, for example, for the first one we have:

x = -4

y = -12

Replacing that on the first inequality we get:

(-4 - 20)^2 + (-12 - 14)^2 ≤ 625

1,252 ≤ 625

This is false, so this option is not correct.

Now we just need to check the other options. Particularly for the third we have:

x = 2

y = 10

Replacing that in both inequalities we get:

(2 - 20)^2 + (10 - 14)^2 ≤ 625

340 ≤ 625 (true).

(2 + 8)^2 + (10 - 3)^2 ≤ 196

149 ≤ 196 (true)

So at 2km east and 10km north of Columbia, the two earthquakes can be felt.

If you want to learn more about inequalities, you can read:

https://brainly.com/question/18881247

Answer:

-11 :)

Step-by-step explanation:

Answer: 0

Step-by-step explanation:

Answer:

(a) The proportion is 61.23%

(b) It is more than the historical 57%

Step-by-step explanation:

This question has missing details, and they are:

[tex]n = 926[/tex] ---- The Sample Adults

[tex]x = 567[/tex] -- Those that believe global warming was real

Solving (a): The proportion of those that believe.

This is calculated as:

[tex]p = \frac{x}{n}[/tex]

Substitute values for x and n

[tex]p = \frac{567}{926}[/tex]

[tex]p = 0.6123[/tex]

Express as percentage

[tex]p = 0.6123 * 100\%[/tex]

[tex]p = 61.23\%[/tex]

Solving (b) More or less than 57%

By comparison:

[tex]61.2\% > 57\%[/tex]

Hence, it is more than the historical 57%

Answer:

Step-by-step explanation:

19/4 + 29/5

2.75 + 5.8

= 8.55

Use the binomial theorem:

[tex]\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}[/tex]

The x ³ terms occurs for 5 - k = 3, or k = 2, and its coefficient would be

[tex]\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}[/tex]