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Bob knew that he was standing 50 feet from the base of a flag pole and was looking up at a 25° angle. How tall the flag pole? ​

The total amount of money that Karen withdrew from her account three years later is $11,015.48.

When an amount earns a compound interest seminannually, it means that the amount invested and interest accured increases in value twice a year.

The formula for calculating future value:

FV = P (1 + r)^nm

$10,000 x (1 + 0.0325/2)^6 = $11,015.48

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Answer: (51ab^2)/(20c)

STEP

1

:

Equation at the end of step 1

 ((17•(a3))•(b2)) ((18•(b4))•(c3))

 ————————————————•————————————————

 ((15•(b3))•(c2))  ((23a2•b)•c2)  

STEP

2

:

Equation at the end of step

2

:

 ((17•(a3))•(b2)) ((2•32b4)•c3)

 ————————————————•—————————————

 ((15•(b3))•(c2))    23a2bc2  

STEP

3

:

           (2•32b4c3)

Simplify   ——————————

            23a2bc2  

Dividing exponential expressions :

3.1    b4 divided by b1 = b(4 - 1) = b3

Dividing exponential expressions :

3.2    c3 divided by c2 = c(3 - 2) = c1 = c

Dividing exponents:

3.3    21   divided by   23   = 2(1 - 3) = 2(-2) = 1/22

Equation at the end of step

3

:

 ((17•(a3))•(b2)) 9b3c

 ————————————————•————

 ((15•(b3))•(c2)) 4a2

STEP

4

:

Equation at the end of step

4

:

 ((17•(a3))•(b2)) 9b3c

 ————————————————•————

   ((3•5b3)•c2)   4a2

STEP

5

:

Equation at the end of step

5

:

 (17a3 • b2)   9b3c

 ——————————— • ————

  (3•5b3c2)    4a2

STEP

6

:

             17a3b2

Simplify   —————————

           (3•5b3c2)

Dividing exponential expressions :

6.1    b2 divided by b3 = b(2 - 3) = b(-1) = 1/b1 = 1/b

Equation at the end of step

6

:

  17a3   9b3c

 ————— • ————

 15bc2   4a2

STEP

7

:

Dividing exponential expressions :

7.1    a3 divided by a2 = a(3 - 2) = a1 = a

Dividing exponential expressions :

7.2    b3 divided by b1 = b(3 - 1) = b2

Dividing exponential expressions :

7.3    c1 divided by c2 = c(1 - 2) = c(-1) = 1/c1 = 1/c

Final result :

 51ab2

 —————

  20c

Answer:

y = 3x + 20

This is an equation, in slope-intercept form, which represents a the placement of a line. The 3 in the equation represents the slope of the line, and the 20 represents the y-intercept.

The thickness of the pile of books measured by Juan and the information in the line plot is 5.

Based on the information in the line plot, the thinnest book has a thickess of  1 1/4 and the thickest book has a thickess of 2 1/2.

The thickness of the pile of books = (1 1/4 x 2) + 21/2

(5/4 x 2) + 2 1/4 = 5

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Answer:

x=6 y=4

Step-by-step explanation:

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Answer:

23 yards

71 - 48 = 23

this is the answer to your question

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Answer:

can you post the question but more clear please because I didn't understand

As the ball falls, the velocity of the ball increases with increase in distance

Given Data

It should be noted that when an object falls, it velocity increases from zero to the maximum just before it hits the ground from the initial point of lunch.

Note: For a projectile the ball might reach a zero velocity at maximum height

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Answer:

12/25

Step-by-step explanation:

lashonda had 4 fiths of 1 acre of land, and 3/5 of the 4 fiths of land is corn.

If you multply 3/5 by 4/5 you will get you answer: 12/25 or 0.48

Answer:

it will take approximately 6.32 annum(years) to reach $40000

Step-by-step explanation:

9.5% of $25000 = $2375

$40000 - $25000 = $15000 so you need to make an interest of $15000 overall to reach $40000

since you make $2375 each year therefore

$15000 ÷ $2375 will give you the number of years to reach $40000

hence 15000 ÷ 2375 = 6.315

approximately = 6.32 annum(years)

angle PSQ = 65 (central angle is 130, which means arc PQ is 130, and half of the arc is the inscribed angle)

angle AQS = 35 (congruent to angle SPR)

arc QR = 50 (180-130)

arc RS = 70 (35*2=70)

arc PS = 110 (35*2, making arc SR 70, subtract all arcs from 360 to get 110.

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Answer:

a). 100

Step-by-step explanation:

Finding d₁ and d₂

Finding Area

[tex]\sqrt{ { (x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \\ = \sqrt{( {5 - ( - 1)}^{2} + {( - 9 - ( - 1)}^{2} )} \\ \\ = \sqrt{ {(5 + 1)}^{2} + {( - 9 + 1)}^{2} } \\ \\ = \sqrt{ {(6)}^{2} + {( - 8)}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]

Answer:

The mean is 56.6, the median is 53, modes are 41, 43, and 63, the range is 56, and the IQR is 20.

Step-by-step explanation:

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.

Average = Sum / Count

= 849 / 15

= 56.6

Answer:

2 5/7

Step-by-step explanation:

First we need to make the 4 2/7 top heavy so it is easier to subtract :)

4 2/7 = 3 9/7

Now we can subtract :)

3 9/7 - 1 4/7 = 2 5/7

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Answer:

The answer is 2 5/7

Step-by-step explanation:

Answer:

The answer is : 8160 m

Step-by-step explanation:

100% correct

The Total Number of socks is 10 in all, bear in mind that there is no blue socks hence it will not add to the total amount of socks

Note : 1 pais = 2 socks

Given Data

The statement " 6 times as many pairs of blue socks" is equivalent to no socks, since we have no blue socks, hence 6*0 = 0

Let us find the total socks

= 8+0+2

= 10 socks

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Using the together rate, it is found that it would take the assistant 31 hours and 30 minutes to do it alone.

It is the sum of each separate rate.

In this problem, the rates are given as follows:

Hence:

[tex]\frac{1}{9} + \frac{1}{x} = \frac{1}{7}[/tex]

[tex]\frac{x + 9}{9x} = \frac{1}{7}[/tex]

[tex]9x = 7x + 63[/tex]

2x = 63

x = 31.5.

It would take the assistant 31 hours and 30 minutes to do it alone.

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Answer:

Step-by-step explanation:

true

if angle BCA is 90° and angle EFD is 90°

and if C to A is 14, half of that is 7 which is what F to D is

Answer:

It ether -36 or a-28

Answer:

340.8 m

Step-by-step explanation:

Find the area of rectangles:

15 x 8 = 120

6x8=48

16x8=128

Find area of triangle:

1/2 5.6 x 16 = 44.8

Add together:

120 + 48 + 128 + 44.8 = 340.8 m

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Answer:

[tex]\frac{5}{2} - d[/tex]

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Answer:

First space: 7

second space: 2

third space: -7

last space: -12

Step-by-step explanation:

To subtract, use "Add the opposite". In the problem the minus has aready been changed to adding, so you just change the second number (-7 in the first part or 7 in the second part) to their opposite sign. see image.

Answer:

P=1, G=2, T=3, E=6, D=7, A=9

explanation:

CAT+DOG=PETS

Replace each letter with its value:

893+742=1635 which is true

Circle One:

No

Explain:

The chart shows that teenagers get roughly between 7 - 8 and 1/2 hours of sleep every night. It shows that no teenagers get 9 and 9 and 1/2 hours of sleep. This is why their data does not support the delay to starting time.

Answer:

52

Step-by-step explanation:

a-8x =4-8×-6

=4-(-48)= 4+48=52

Answer:

The results of the convenience sampling cannot be generalized to the target population because of the potential bias of the sampling technique due to under-representation of subgroups in the sample in comparison to the population of interest. The bias of the sample cannot be measured.

Answer:

Yes

Step-by-step explanation:

Correct

Two solids with the same surface and different volumes are a cube of side length of 1 unit, and a sphere of radius of 0.69 units.

First, let's define a cube of a side length of 1 unit. The surface of this cube is equal to 6 times the area of one of the faces, or:

S  = 6*(1 unit square) = 6 units square.

And the volume is equal to the side length cubed, so we have:

V = (1 unit)^3 = 1 unit cubed.

Now, let's find a sphere with the same surface than our cube. For a sphere of radius R, the surface is:

S = 4*3.14*R^2

Then we must have:

4*3.14*R^2 = 6 units square

R = √(6/(4*3.14)) units = 0.69 units.

And the volume of this sphere is:

V = (4/3)*3.14*R^3 = (4/3)*3.14*(0.69 units)^3 = 1.38 cubic units.

So the sphere has the same surface and more volume.

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