17. A man stands 4300 feet from the Burj Khalifa in
Dubai (world's tallest building). The angle of
elevation from his eyes (5 feet) to the top of the
building is 32°. How tall is the building?

Answer:

1) at the highest Point

KE= 0  PE=2116.8 N

2) 3 m above the ground

PE= 529.2 N KE=1587.6 N

3) at the ground

KE= 2116.8 N and PE=0

Step-by-step explanation:

The potential energy is given by

PE= mgh   where m is the mass , g is the acceleration due to gravity which is equal to 9.8 m/s² and h is the height.

The kinetic energy is given by KE= 1/2 mv² where m is the mass of the body and v is the velocity.

1) at the highest Point

Now at the highest point the  velocity is zero

KE= 1/2 mv²

KE= 0

PE = mgh

PE= 18 *9.8* 12= 2116.8 N

Total Energy = KE + PE= 0 + 2116.8 N= 2116.8 N

2) 3 m above the ground

At 3 m above the ground

PE= mgh

PE= 18 *9.8* 3= 529.2 N

According to law of conservation of energy the total energy ( sum of KE and PE)  remains the same at every point.

Total Energy = KE + PE

2116.8 N-529.2N= 1587.6N

KE=1587.6 N

3) at the ground

at the ground the height will be zero

PE= mgh

PE= 18 *9.8* 0= 0 N

According to law of conservation of energy the total energy ( sum of KE and PE)  remains the same at every point.

Total Energy = KE + PE

2116.8 N=2116.8 N + 0

KE= 2116.8 N

or

KE= 1/2 mv²

KE = 1/2* 18 *(15.36)²= 2116.8

Answer:

1205.75999

Step-by-step explanation:

Answer:

First you need to multiply $70 and 8%, which will equal $5.60, and then you have to add it to $70, which will give you $75.60 . Abby would need to pay 75.60 dollars.

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

each page holds 7 discs. the alb holds 700 discs. that means there are 100 pages. 69% of the pages are empty so therefore 41 pages are filled.

Answer:

D = 80 degrees or (76+4) C And F are 70 i think

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Checking something is a way to see if your answer is reasonable.

Answer:

right scalene

Step-by-step explanation:

The triangle above it has a right degree angle which makes that triangle a right triangle because it shares the same line.

it is scalene because there are no angles or side that are equal to each other

Given:

A  merchant bought 12 boxes of eggs containing 10 eggs each at the rate of Rs 50 per box.

He spent Rs 40 on transportation.

He sold the eggs at rs 12 per pair.

To find:

The gain or loss percentage.

Solution:

The cost of 1 box of eggs is Rs. 50. So, the cost of 12 boxes of eggs is:

[tex]12\times 50=600[/tex]

Number of eggs in 12 boxes is:

[tex]12\times 10=120[/tex]

He spent Rs 40 on transportation. So, total cost of 12 boxes of eggs is:

[tex]600+40=640[/tex]

Cost of each egg is:

[tex]\dfrac{640}{120}=\dfrac{16}{3}[/tex]

He sold the eggs at Rs 12 per pair. It means the selling price of two eggs is Rs 12. So, the selling price of each egg is:

[tex]\dfrac{12}{2}=6[/tex]

We need to find the gain or loss percentage.

Since [tex]\dfrac{16}{3}<6[/tex] it means the selling price is greater than the cost price, therefore it is gain.

The gain percent is:

[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

[tex]Gain\%=\dfrac{6-\dfrac{16}{3}}{\dfrac{16}{3}}\times 100[/tex]

[tex]Gain\%=\dfrac{\dfrac{18-16}{3}}{\dfrac{16}{3}}\times 100[/tex]

[tex]Gain\%=\dfrac{2}{16}\times 100[/tex]

[tex]Gain\%=12.5\%[/tex]

Therefore, the gain percent is 12.5%.

Answer:

35 ft

Step-by-step explanation:

Sorry this took me so long, I am 99% sure it is right though

I hope this helps :)

Answer:

B is ans ..................

Answer:

B is the correct answer

Step-by-step explanation:

Answer:

[tex] \dfrac{2 + 20}{n} [/tex]

Step-by-step explanation:

[tex] \dfrac{2 + 20}{n} [/tex]

Answer:

I think your answer is 10

Step-by-step explanation:

Answer:

C) ASA

Step-by-step explanation:

angles are indicated equal and they share the common diagonal between those angles, so ASA

The given two triangles are congruent due to the ASA postulate, which is the correct answer that would be an option (C).

Two triangles are said to be congruent if their corresponding sides and angles are equal.

The given triangles are given in the figure.

We can see that there are two angles that are the same and one side is the same.

According to ASA, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.

So, we conclude that the given two triangles are congruent.

Hence, the given two triangles are congruent due to the ASA postulate.

Learn more about congruent triangles here:

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Answer: 15 years

Step-by-step explanation:

Given

Difference between [tex]\frac{3}{5}[/tex] Raman's present age and his age 4 years ago is 0

Suppose Raman's present age is [tex]x[/tex]

So, we can write

[tex]\Rightarrow \dfrac{3x}{5}-(x-4)=0\\\Rightarrow \dfrac{3x-5x}{5}+4=0\\\Rightarrow \dfrac{-2x}{5}+4=0\\\Rightarrow x=\dfrac{20}{2}=10[/tex]

His age after 5 years is [tex]x+5=15\ yr[/tex]

Answer:

60% of students are boys

Step-by-step explanation:

Okay first subtract 645-258 to get the amount of boys at the school

645-258=387

Now the ratio of boys to girls is

387:258

387/645×100 to get percentage of boys

put that in your calculator and you will get 60%

so there is 60% of middle school boys and

258/645×100 to get the percentage of girls

put it in the calculator and you will get 40%

so 60% boys and 40% girls

60% + 40% = 100%

Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

Answer:

1= 2,3

2= 6,-2

Step-by-step explanation:

sup real human here,

d starts at 1,3

we move it to the right one to fill x+1 so it would be 2,3

We move it down 6 to fill y-6 so it would not be 2,-3

for 2, it is being moved down 5 and over 5

we see this because the original point is 4,-2 and the new position is -1,3 which would be down 5 over 5 from the original

this would make 1,3 become 6,-2

Answer:

1. plug the point (1, 3) into the expressions: (x+1, y-6)

(1+1, 3-6) = (2, -3)

2. make an expression for the points based on B and B':

B: (4, -2)

B': (-1, 3)

(x-5, y+5) because 4 - 5 = -1, and -2 + 5 = 3

plug in A (1,3):

(1 - 5, 3 + 5) = (-4, 8)

Answer:

PE = 51.45 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8m/s^2)(0.75 m)

= 51.45 Joules

Answer:

the fist one

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

i did the math

Answer:

x = 2

Step-by-step explanation:

3(x - 1) = 23 - 5(x + 2) ← distribute parenthesis on both sides

3x - 3 = 23 - 5x - 10

3x - 3 = 13 - 5x ( add 5x to both sides )

8x - 3 = 13 ( add 3 to both sides )

8x = 16 ( divide both sides by 8 )

x = 2

Answer:

x=2

Step-by-step explanation:

The total Amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.

a) The down payment of Jason is 10% of $430,000 =$43,000b) The amount of the mortgage is the difference between the home value and the down payment.

Mathematically, $430,000 - $43,000 = $387,000.c) The closing costs are 3.5% of the mortgage. So, 3.5% of $387,000 is: 0.035 × $387,000 = $13,545.

Hence, the closing costs are $13,545. d) The total amount of the mortgage if they finance the closing costs with the mortgage is the sum of the amount of mortgage and the closing cost.

So, the total amount of the mortgage is: $387,000 + $13,545 = $400,545.Solution:a) Jason's down payment is 10% of the cost of the house, which is given as $430,000.

To calculate the down payment, multiply the cost of the house by 10%.Down payment = $430,000 x 10% = $43,000

Therefore, Jason's down payment is $43,000.b)

The amount of the mortgage is the difference between the total cost of the house and the down payment. The cost of the house is given as $430,000.

Thus, we have:Mortgage amount = Total cost - Down paymentMortgage amount = $430,000 - $43,000Mortgage amount = $387,000

Therefore, the amount of the mortgage is $387,000.c) The closing costs are 3.5% of the mortgage.

Using the mortgage amount calculated in part b), we can compute the closing costs as follows:Closing costs = 3.5% x Mortgage amountClosing costs = 3.5% x $387,000

Closing costs = $13,545

Therefore, the closing costs are $13,545.

d) If the closing costs are financed with the mortgage, we simply need to add the closing costs to the mortgage amount calculated in part b):Total amount of the mortgage = Mortgage amount + Closing costsTotal amount of the mortgage = $387,000 + $13,545

Total amount of the mortgage = $400,545

Therefore, the total amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.

For more questions Amount.

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Answer:

Third side lies between 10 & 22.

Step-by-step explanation:

Any side of triangle is greater than difference of two sides. Sum of two sides of triangle is always greater than third side.

So, letting third size be = x

Difference of two sides < Third side x < Sum of two sides

Difference of two sides = 16 - 6 = 10 , Sum of two sides = 16 + 6 = 22

Hence, 10 < Third side x < 22

Answer:2750 milliliters

Step-by-step explanation:

because 0.55Lx5=2.75L.and if we put it into  milliliters it would be 2750 milliliters

Answer:

7/25

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

27x30=810

Step-by-step explanation:

Answer: Mr.Smith ordered 810 baseballs

Step-by-step explanation:

To find the answer we need to:

1) Since, we know that Mr.Smith ordered 27 boxes and 30 baseball are in each of them. We need to multiply.

27 x 30 = 810