From her eye, which stands 1.69 meters above the ground, Sadie measures the angle
of elevation to the top of a prominent skyscraper to be 36º. If she is standing at a
horizontal distance of 275 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest hundredth of a meter if
necessary.

Answer:

  B = 43°

  a = 11.0

  b = 10.2

Step-by-step explanation:

The relationship between side lengths and trig functions in a right triangle is summarized in the mnemonic SOH CAH TOA. It tells you, for example, ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

__

Applied to this triangle, the unknown sides can be found from ...

  sin(47°) = a/15

  a = 15·sin(47°) ≈ 11.0

and

  cos(47°) = b/15

  b = 15·cos(47°) ≈ 10.2

__

The second acute angle in a right triangle is the complement of the first:

  B = 90° -47° = 43°

Answer:

y=6.4

Step-by-step explanation:

The solution is in the image

The system of equations are solved and the value of y = 32/5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

x + y = 1   be equation (1)

2x - 3y = -30   be equation (2)

Multiply equation (1) by 2 , we get

2x + 2y = 2   be equation (3)

Subtracting equation (2) from equation (3) , we get

5y = 32

Divide by 5 on both sides , we get

y = 32/5

Hence , the equation is solved and y = 32/5

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#10

Option A and B

#11

Option C

Answer:

   10. (2) x - 3

    11. (3) 5a

Step-by-step explanation:

Question 10

Question 11

Simplifying

Answer:

  17.3 cm³

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = 1/3Bh

where B is the area of the base, and h is the height.

__

The volume of a square pyramid with base area 5.5 cm² and height 6.4 cm is ...

  V = 1/3(5.5 cm²)(6.4 cm) ≈ 17.333... cm³

The volume of the pyramid is about 17.3 cm³.

Answer:

y = x+8

Step-by-step explanation:

You find the difference between the value of y and value of x which is 8 so no matter what x is you always add 8 to get the y value. :)

Answer:

y = x + 8

Step-by-step explanation:

Find the difference between each x and y-value :

Let's take the pair (18, 26)

Answer:

1: The limit doesn't exist

2:

Step-by-step explanation:

Question 1:

f(x) = x + 10 for when x approaches 8

18 = 8 + 10 which is NOT true x < 8             18 < 8

f(x) = 10 - x for when x approaches 8

2 = 10 - 8 which is NOT true x ≥ 8                2 ≥ 8

Question 2:

f(x) = 5 - x for when x approaches 5

0 = 5 - 5 which is TRUE x < 5           0 < 5

f(x) = 8 for when x approaches 5

which is NOT x = 5                          8 = 5

f(x) = x + 3 for when x approaches 5

8 = 5 + 3 which is TRUE x > 5           8 > 5

Answer:

10 meters.

Step-by-step explanation:

We know the ball travelled a distance of at least 6 meters as that is how far it was dropped.

It rebounded 2/3 of 6 meters, which is 4 meters.

6 meters add 4 meters is 10 meters.

Answer:

-2x < 23-7

-2x < 16

-2x÷-2 < 16 ÷ -2

x > -8

Answer:

10, 20, 15

Step-by-step explanation:

10 is the lowest so that leaves the mean and range well the range is the highest value minus the lowest and the range is 10 so 20-10=10

so we now have 10 and 20 so then what number divided by three as in three darts equals 15 I go down the list and I get 45/3 and it equals 15

Answer:

x = 60

Step-by-step explanation:

Discussion

You have 3600 boxes and 60 trucks

The formula you want is

Total Boxes = Number of trucks * number of boxes per truck.

Givens

Total boxes = 3600

Total trucks = 60

Solution

3600 = 60 * x                    Divide by 60

3600/60 = 60x/60

x = 60

Answer:

15.9

Step-by-step explanation:

x^2 + 6^2 = 17^2

x squared + 36 = 289

                  -36     -36

x squared = 253

[tex]\sqrt{x}[/tex] = [tex]\sqrt{x}[/tex]253

x = 15.9

Answer:

18.0

Step-by-step explanation:

17^2+6^2= 289 + 36=325

The square root of 325 is 18.02 and when you round 18.02 to the nearest tenth it would give you an answer of 18.0.

Answer: 54 degrees

Step-by-step explanation:

Since AZ is tangent to circle V, it forms a 90 degree angle with the circle. If you compare XW with AZ, you can see they are perpendicular to each other. Angle W has already been found, and it's 36 degrees.

So if you subtract 90 by 36, it gives you YWZ, 54 degrees.

Answer: Let's put the chart into ordered pairs:

(x, y)

(2,1)

(3,4)

(3,3)

(4,2)

(5,5)

In bold, we see that there are two y-values at x=3. This means that this relation fails the vertical line test (two points on the same verticle line). This is not a function.

The answer options may be mis-written.

The answer is no, because one x value corresponds to more than one y-value.

Have a great day!

and night..

;).

Step-by-step explanation:

Answer: The sample of the survey was 3000 teenagers
               The population of the survey was teenagers across the state

Step-by-step explanation:

"3000 randomly selected teenagers"

"3000 randomly selected teenagers across the state"

Answer:

6

Step-by-step explanation:

[tex]\text{From the question...}\\9x^2 + 4y \div z\\x = \frac{2}{3}\\y = 3\\z = 6\\\\\text{Substitute in values}\\9(\frac{2}{3})^2 + 4(3) \div (6)\\\\\text{Following the rules of BODMAS or PEMDAS}\\9(\frac{4}{9}) + 12 \div 6\\4 + 2\\6[/tex]

Answer:

[tex]\sf \boxed{\sf D) \ \sf -\frac{5}{3} }[/tex]

Explanation:

[tex]\rightarrow \sf 3x - 5y = -10[/tex]

[tex]\rightarrow \sf - 5y = -10-3x[/tex]

[tex]\rightarrow \sf y = \dfrac{-10-3x}{-5}[/tex]

[tex]\rightarrow \sf y= \dfrac{3}{5} x+2[/tex]

Comparing it with slope intercept formula: y = mx + b

Identify the slope for this function:

[tex]\cdot \ \sf slope \ (m) : \dfrac{3}{5}[/tex]

Then perpendicular slope shall be negatively inverse:

[tex]\sf perpendicular \ slope = -(m)^{-1} \quad = \quad -(\dfrac{3}{5} ) ^{-1} \quad = \quad -\dfrac{5}{3}[/tex]

Answer:

D

Step-by-step explanation: i got it right

The equation of the best fit is y = 16.89x + 134.95 and projected profit is $2700.07

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]

[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

The line of best fit;
y = mx + c

m = 16.89

c = 134.95

y = 16.89x + 134.95

Plug x = 2010 - 2002 = 8

y = 16.89(8) + 134.95

y = $2700.07

Thus, the equation of the best fit is y = 16.89x + 134.95 and projected profit is $2700.07

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The recursive function is h(n) = -1/3h(n - 1) where h(0) = 63

The function is given as:

[tex]h(n) = 63* (-\frac{1}{3})^n[/tex]

Set n to 0

[tex]h(0) = 63* (-\frac{1}{3})^0[/tex]

Evaluate

h(0) = 63

This means that the function h(n) has the following parameters:

First term = 63

Rate = -1/3

Hence, the recursive function is h(n) = -1/3h(n - 1) where h(0) = 63

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Step-by-step explanation:

1 km² = 1km×1km = 1000m × 1000m = 1000000 m²

5 km² = 5000000 m²

so, he has to pay 5000000p as tax.

The amount of tax the farmer must pay is 50000 Rupees.

A compulsory contribution the government has levied on people's income is called the tax , It is of various types and the money accumulated from that is used for the development of the nation.

It is given that the farmer has an area of 5 km²

The farmer must pay 1p tax for each m² of land he owns.

5km² = 5 * (1000)² m²

Area = 5 *10⁶ m²

The amount of tax the farmer needs to pay is

= 1* 5* 10⁶

= 5000000 p

100p = 1 rupees

= 50000 Rupees

Therefore the amount of tax the farmer must pay is 50000 Rupees.

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Answer:

Step-by-step explanation:

sum of first six  terms of given G.P.=1+2+4+8+16+32=63

let d be c.d. of A.P.

first six terms are 1,1+d,1+2d,1+3d,1+4d,1+5d

1+1+d+1+2d+1+3d+1+4d+1+5d=63

6+15d=63

15d=63-6=57

divide by 3

5d=19

d=19/5=3.8

fifth term=1+4d=1+3.8*4=1+15.2=16.2

Answer: (0, –5)

Step-by-step explanation:

Don’t worry the other person is right

Step-by-step explanation:

Answer:

the answer is 11 because there are so many no. repeating so in this case we count total no of terms and say it n if terms are odd then mode

Step-by-step explanation:

mode = n+1÷2

Answer:

The Surface area will double and the volume will triple.

Step-by-step explanation:

This is because the dimensions will cause the shape to double in surface area and triple in volume as surface area is in a two-dimensional space while volume is in a 3-dimensional plane.

Answer:

See below ~

Step-by-step explanation:

Subpart (h) :

⇒ By doubling the dimensions of a rectangular prism, the surface area becomes 2 times the original value

===========================================================

Subpart (i) :

⇒ By doubling the dimensions of a rectangular prism, the volume becomes 8 times the original value

Answer:

15 u³

Step-by-step explanation:

Volume = width × length × height

Given:

⇒ Volume = 2u × 2 ¹/₂ u × 3u

                 = 15 u³

[tex]\underline{\tt{❖ \: Given \: \: ❖}}[/tex]

given figure

[tex] \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \\ \: \: \: \: \: \: \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \sf \: 2u \\ \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \\ \sf \: 2 \dfrac{1}{2}u[/tex]

[tex]\underline{\tt{❖ \: To \: find \: ❖}} [/tex]

[tex]\underline{\tt{❖ \: Using \: formula \: ❖}} [/tex]

[tex]\underline{\tt{❖ \: Solution \: ❖}} [/tex]

we have,

[tex]\sf \: volume = width \times length \times height[/tex]

[tex]\sf \: volume = 2u \times 2 \dfrac{1}{2}u \times 3u[/tex]

[tex]\sf \: volume = 2u \times \dfrac{5}{2}u \times 3u[/tex]

[tex]\sf \: volume = \cancel2u \times \dfrac{5}{ \cancel2}u \times 3u[/tex]

[tex]\sf \: volume = u \times 5u \times 3u[/tex]

[tex]\sf \: volume = 15u {}^{3} [/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer: B

Step-by-step explanation: hope this helps

Answer:

He was enlightened

Step-by-step explanation:

There was a list of things he did to become Buddha

Lives like a prince
Is depressed by the suffering he sees outside the palace
Is impressed by how contented a holy man is
Decides to give up a life of pleasures and comforts
Wanders across India looking for the end of suffering
Sits down under a tree and meditates for several weeks
Gains enlightenment

0.35x=73.85, comgining moving terms

divide both sides by 0.35

x=211 quarters, which is $52.75 ANSWER

x+5=216 dimes, which is $21.60 ANSWER

That total is $74.35

Answer:

the answer is 210 quarters and 215 dimes

Step-by-step explanation:

Answer:

the andswer there is D

Step-by-step explanation:

just think of it as a cylinder and a square

put both circular parts together and you have a cylinder with the diameter of 12 and a height of 7 and find the volume of that which is πr²h so π 6² 7

then the volume of your rectangular prism is the length times width times height so 12 by 12 by 7