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the angle of elevation from mindy to a cell phone tower is 75. if mindy is standing 28 feet from the base of the tower, find the height of the tower


A) 104.5 ft

B) 105.8 ft

C) 106.1 ft

D) 107.4 ft

E) 108.9 ft

Answer:

y = 8

Step-by-step explanation:

Parallel lines are lines which do not intersect. If the line is parallel to the x-axis then it is a horizontal line that intercepts the y-axis at the y-coordinate of the point (-1,8). So the equation of the line is y = b where b is the y-coordinate or y-intercept. Here it is y = 8.

Answer:

[tex]\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}[/tex]

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

[tex]\dfrac{AD}{CD}=\dfrac{CD}{DB}[/tex]

We have

[tex]AD=14-8=6\\CD=y\\DB=8[/tex]

Substitute:

[tex]\dfrac{6}{y}=\dfrac{y}{8}[/tex]         cross multiply

[tex]y^2=(6)(8)[/tex]

[tex]y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}[/tex]

For x use the Pythagorean theorem:

[tex]x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}[/tex]

Answer:

[tex]1,404\ lb[/tex]

Step-by-step explanation:

we know that

using proportion

[tex]\frac{126}{21}\frac{earth}{moon} =\frac{x}{234}\frac{earth}{moon}\\ \\x=126*234/21\\ \\x=1,404\ lb[/tex]

Answer: 1,404 lb

Step-by-step explanation:

1. You have the following information given in the problem:

- The weight of the astronaut on eart is 126 lb.

- The weight of the astronaut on the moon is 21 lb.

2. Therefore, you can calculate the weight of a person on earth, knowing that that person weighs 234 lb of the moon, as following:

[tex]weight_{earth}=\frac{(234lb)(126lb)}{21lb}\\\\weight_{earth}=1,404lb[/tex]

Then, the person would weighs 1,404 lb on earth.

Answer: 62.8m^2

Step-by-step explanation:

Surface area of a cylinder = [tex]2\pi r^{2} + 2\pi rh[/tex]

r = 2m, h = 3m

[tex]2\pi (2)^{2} + 2\pi (2)(3)[/tex]

= 62.83185

Answer:

62.8m^2

Step-by-step explanation: 2\pi r^{2} + 2\pi rh

r = 2m, h = 3m

2\pi (2)^{2} + 2\pi (2)(3)

= 62.83185

You would have to divide because 30/5= 6 and 6/2= 3

Answer:

The answer is 6.

Step-by-step explanation:

Start with the parentheses. Think of what operations can work for this. Since the answer (3) is small, division makes sense.

(30 / 5) = 6

Then, divide 6 by 2. The answer is 3.

I hope this helped! :-)

Answer:

They can be introduced 24 different ways

Step-by-step explanation:

To find this, use the factorial function (!)

4! = 4 * 3 * 2 * 1 = 24

Answer:

They're name and age.

Step-by-step explanation:

Step 1: The student would say his/her name.

Step 2: The student would say his/her age.

Step 3: The student would say his/her birthday.

Answer:

The first answer: 390m The second answer: x = 7; m<1 = 17; m<2 = 73

Step-by-step explanation:

First problem:

It's asking for the distance he walks by walking around a rectangular box which is the perimeter.

Two of the sides will have length 115m and two will have length 80m. So this perimeter is 115 + 115 + 80 + 80 = 390m.

Second problem:

Complementary angles add to 90 degrees. So m<1 and m<2 added together will equal 90

-4x +45 + 7x + 24 = 90

3x + 69 = 90

3x = 21

x= 7.

Plug back x into both m<1 and m<2 to find the measure of the angles.

m<1 = -4(7) + 45 = 45-28 = 17

m<2 = 7(7) + 24 = 49 + 24 = 73

The length of each curtain is [tex]2\frac{1}{6} [/tex] yards of fabric.

Given that,

14 curtains required  [tex]30\frac{1}{3} [/tex]  yards of fabric.

1 curtain required is,

                             [tex]=30\frac{1}{3} \div14\\ \\ =\frac{91}{3}*\frac{1}{14}\\ \\ =\frac{91}{42}=\frac{13}{6}=2\frac{1}{6} [/tex]

Hence, The length of each curtain is [tex]2\frac{1}{6} [/tex] yards of fabric.

Learn more:

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90-64= 26 degrees .....

Answer:

The 2nd one would be different from the first because you are adding 3.

Step-by-step explanation:

Answer:

The area of the four curved surfaces is the area of one circle with a radius of 4 cm

Area = PI * radius^2

Area = PI * 4 ^ 2

Area = PI * 16 = 50.26548245744 sq cm

Area of entire square = 8 * 8 = 64 sq cm

Area of yellow region = 64 - 50.265 sq cm =

= 13.735 = 13.7 sq cm (rounded to nearest tenth)

Step-by-step explanation:

Answer:

Area of the yellow part = 13.76

Step-by-step explanation:

Remark

Basically you have 4 quarter circles (which will make up the area of 1 circle) which you then have to subtract from the area of the square. Use pi = 3.14 for the circle.

Area of the square

A = s^2

A = 8^2

A = 64

Area of the 4 quarter circles.

Area = 4* (1/4) * Pi * r^2

r = 4   (1/2 of the square's side)

Area = 4*(1/4) * pi * 4^2

Area = pi * 4^2

Area = 16 * pi

Area of the yellow part

Area of the yellow part = Area of the square - Area of the 4 quarter circles.

Area of the yellow part = 64 - 16*pi    This is a possible answer.

Area of the yellow part = 64 - 50.24

Area of the yellow part = 13.76    This is the answer I'd try first.

Answer:

12 sides

Step-by-step explanation:

Answer:

Step-by-step explanation:

Interior angles is 150 degree

Exterior angles is 360 degree

Answer:

No, it is D.

Step-by-step explanation:

It can not be A or C, because length can not be negative

Because the y is the same, you only have to count the distance of the x-axises.

4 - (-3) is 7 units, which is D.

Step-by-step explanation:

Let's set up a proportion.

345.12/4638.34=x/100.

A percent is always out of one hundred and is the part out of a whole, so  to solve for it we must set x equal to the part (345.12) out of the whole (4638.34).

Now if we solve for x it will equal 7.440593, which is kind of a big number. We can round it to the nearest hundredth, 7.44%, or just round it to the nearest percentage 7%.

To calculate the percentage of Louis's income that is taxed, we divide the amount of tax by the total income and multiply by 100. This tells us that Louis pays roughly 7.44% of his monthly income in taxes.

To find out the percentage of income that Louis paid in taxes, we first need to divide the total amount of taxes ($345.12) by Louis's total monthly income ($4638.34) and then multiply by 100 to get the percentage. The calculation would look like this: ($345.12 / $4638.34) * 100. If you compute this, you will find that Louis pays about 7.44% of his monthly income in taxes.

So, the percentage that has been removed from Louis's income for taxes is 7.44%.

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No, Pavel is not correct. Counting 5 units to the left is the same as saying 5 - 5, which equals zero. Pavel would need to count 10 units to the left of 5 in order to get -5.

Answer:

Step-by-step explanation:

Expression: [tex]x^3-xy+y^2-9[/tex]

7. How could y^2 be rewritten?

y^2 can be rewritten as y*y

8. What does the term xy mean?

The term xy mean that the value of x is multiplied with the value of y or we can sy that we are taking product of x and y.

9. Can you combine all the Xs and Ys in this expression?

No, because the term xy has one x term and one y term and due to this we cannot combine all the Xs and Ys in this expression. We can only combine like terms that have same variables.

Answer:

B) 11√3 - 7√6

Step-by-step explanation:

√48 can be simplified to 4√3, and √54 can be simplified to 3√6.

The equation is now 7√3 - 4√6 + 4√3 - 3√6.

This can be grouped into (7√3 + 4√3) + (-4√6 -3√6).

We get 11√3 - 7√6.

Answer:

15+s=

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Congruent means that two (or more) side lengths for line segments have "the same measurements.

~

d the answer can not be found using the information given

Answer:

g(-1) = -0.571

g(1) = -7

Step-by-step explanation:

To easily solve this problem, we can use a graphing tool to plot both f(x) and g(x) and

f(x) = 2*(3.5)^x

g(x) = -2*(3.5)^x

g(-1) = -2*(3.5)^(-1) = -0.571

g(1) = -2*(3.5)^(1) = -7

Answer: -1 1/2

Step-by-step explanation:

Answer:

[tex]-(1\frac{1}{2})[/tex]

Step-by-step explanation:

Dividend = [tex]\frac{9}{10}[/tex]

Divisor = [tex]\frac{-3}{5}[/tex]

Now divide [tex]\frac{9}{10}[/tex] by  [tex]\frac{-3}{5}[/tex]

So,  [tex]=\frac{\frac{9}{10}}{\frac{-3}{5}}[/tex]

[tex]=\frac{9}{10} \times \frac{5}{-3}[/tex]

[tex]=\frac{45}{-30}[/tex]

[tex]=\frac{3}{-2}[/tex]

[tex]=\frac{-3}{2}[/tex]

[tex]=-(1\frac{1}{2})[/tex]

So, [tex]\frac{9}{10} \div \frac{-3}{5} = \frac{-3}{2}=-(1\frac{1}{2})[/tex]

Answer:

Part 1)

Henry's location is at the ordered pair [tex](-3,4)[/tex]

Libray's location is at the ordered pair [tex](2,-3)[/tex]

Part 2) Henry is 5 city blocks at the left of the library and 7 city blocks up of the library

Step-by-step explanation:

Part 1) Write the ordered pairs that represent Henry and the Library

we have that

Henry's location is at the ordered pair [tex](-3,4)[/tex]

Libray's location is at the ordered pair [tex](2,-3)[/tex]

Part 2) Describe Henry's location relative to the library

Observing the graph  

Henry is 5 city blocks at the left of the library and 7 city blocks up of the library

Answer:   15%

Step-by-step explanation:

[tex]\%\ change=\dfrac{New-Original}{Original}\times 100\\\\\\.\qquad \qquad=\dfrac{207-180}{180}\times 100\\\\\\.\qquad \qquad =\dfrac{27}{180}\times 100\\\\\\.\qquad \qquad =0.15\times 100\\\\\\.\qquad \qquad =\boxed{15\%}[/tex]

The answer would be 15%.

207-180=27

27/180=3/20

3/20x5 = 15/100

15/100=15%

Answer:

The lowest of three consecutive numbers is [tex]-32[/tex]

Step-by-step explanation:

The question in English

Find the lowest of three consecutive numbers, if the sum of one-half of the lowest number plus one-third of the highest number exceeds the middle number by five.

Let

x-----> the lowest consecutive number

x+1-----> the middle consecutive number

x+2-----> the highest consecutive number

[tex]\frac{x}{2}+\frac{x+2}{3}=(x+1)+5[/tex]

solve for x

[tex]\frac{x}{2}+\frac{x+2}{3}=(x+1)+5\\ \\ \frac{3x+2x+4}{6}=x+6\\ \\5x+4=6x+36\\ \\6x-5x=4-36\\ \\x=-32[/tex]

Answer:

I will try my best to answer

Answer: who trynna hlp me take a bath nooo kap

Step-by-step explanation:

Answer:

Associative property of addition

ur welcome "my dude"  :o)

Answer:

The associative property of addition.

Step-by-step explanation:

The associative property basically says that it doesn't matter if you add y to 3 + m or you add m + y to 3; you'll come out with the same answer in both cases. Put another way, it tells us we can group terms however we want, and it won't effect the outcome. For another example, (3 + 5) + 4 = 3 + (5 + 4) -- it doesn't matter whether we start with 3 + 5 or 5 + 4. The associative property is why we're allowed to write addition without parenthesis.

The equation could represent p is  P(x) = (x+3)(x-2)^2

The brackets indicate where the curve will intersect the x-axis.

The curve intersects the graph at (0,-3) and (0,2).

That is to say:

x = -3

AND

x = 2

Rearrange the equations so that they equal 0.

x + 3 = 0

x - 2 = 0

The values in the brackets will be used.

We know that x - 2 is a repeating root because the curve only touches it and does not cross it, hence (x-2) is squared.

As a result, your brackets are as follows: (x+3)(x-2)(x-2)

Which of the following can be simplified:

(x+3)(x-2)^2

Where 2 denotes squared.

How many sides does the polygon have?

I believe this is a octogan.... which has 8 sides.... I'm not a 100% sure though... I hope I helped!

Answer:

The answer is 8

Step-by-step explanation:

because it's an octagon