Mathematics High School

A person who is 55 feet tall is standing 168168 feet from the base of a​ tree, and the tree casts a 180180 foot shadow. the​ person's shadow is 1212 feet in length. what is the height of the​ tree?

Answers

Answer 1
121255 ft tall right

Related Questions

If f(x) = 4x and g(x) = 2x – 1, what is g(f(–2))?

A-17
B-13
C-8
D-5

Answers

f(x) = 4x
so f(-2) = 4*-2 = -8  
and 
g((f(-2)) = g(-8) =  -16-1 = -17

Its A

neil tried to simplify an expression step by step 5^-6/5^-4

Answers

The simplified form of the given expression is 1/25.

The given expression is [tex]\frac{5^{-6} }{5^{-4} }[/tex].

We need to simplify the given expression.

What are exponents and how do solve exponents questions?

The exponent of a number shows how many times the number is multiplied by itself. The properties of exponents or laws of exponents are used to solve problems involving exponents. These properties are also considered major exponents rules to be followed while solving exponents.

Using quotient law [tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex].

Now, [tex]\frac{5^{-6} }{5^{-4} }[/tex] can be written as [tex]\frac{5^{4} }{5^{6} }[/tex]

By using the quotient rule, we get [tex]\frac{5^{4} }{5^{6} }=5^{4-6}[/tex]

[tex]=5^{-2}=\frac{1}{5^{2}}[/tex]

=1/5×5=1/25

Therefore, the simplified form of the given expression is 1/25.

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Katherine invested $140.she earned a simple interest of 4% per year on the initial investment. If no money was added or removed from the investment what was the amount of interst katherine received at the end of two years?

Answers

Interest per year = 4% x $140 = $5.60

Interest for 2 years = $5.60 x 2 = $11.20

Total amount at the end of 2 years = $11.20 + $140 = $151.20

Answer: $151.20

Bryant collects a set of 20 data representing the lengths of worms he found in the garden. The variance of the set of measurements is 36. What is the standard deviation from the mean? millimeters

Answers

Answer:

6 millimeters

Explanation:

The standard deviation is the square root of the variance.

Since the variance is 36, the standard deviation would be

√36 = 6

Answer:6

Step-by-step explanation:

What are the dimensions of a rectangle that has a perimeter of 26 in the area of 36?

Answers

9 units long and 4 units wide 

need help with algebra 2! but I need the work show

Answers

Using the distributive property of multiplication, we can simplify the expression as shown below:

[tex] \sqrt{7x} \sqrt{x}- \sqrt{7x}*7 \sqrt{7} \\ \\ = \sqrt{7} \sqrt{ x^{2} }-7 \sqrt{x} \sqrt{ 7^{2} } \\ \\ =x \sqrt{7} -7*7 \sqrt{x} \\ \\ \\ =x \sqrt{7} -49 \sqrt{x} [/tex]

i’m sure this is easy but i'm gonna ask anyway

Answers

No, it's always okay to ask if you don't understand a question.  Anyway, for this problem, we just have to plug in the value for V to solve for P :

[tex]P = 4V^{ \frac{1}{3}} \\ P = 4(125)^{ \frac{1}{3}}[/tex]

A number to the power of 1/3 is the same as taking a cube root.

[tex]P = 4(125)^{ \frac{1}{3}} \\ P = 4(5) \\ P=20[/tex]

The perimeter of one face of the cube is 20m.

Suppose you have five books in your bookbag. three books are novels

Answers

the complete question in the attached figure

we know that
The probability on the first day is 3/5 since there are 3 novels out of 5 and when you take a book out at random, all of them have a equal chance of being picked. Since you returned the book to the bag, the next day too, we have the same probability. 

Probability of a novel being grabbed both days is the product of the two probabilities-----> (3/5)*(3/5)----> 9/25

the answer is
9/25

How do you find the inverse of y=2x-3

Answers

Subtract 3 from each side

y - 3 = 2x

 

Divide through by 2

y/2 - 3/2 = x

or x = y/2 - 3/2

 

Now simply switch labels: x↔y

y = x/2 - 3/2

Tracy solved the system of equations by making a substitution for x in the second equation.

What equation did she get as a result of that substitution?

x = –2y – 2
2x + 3y = –6

–2y – 2 = –6
–2y + 1 = –6
–4y – 2 + 3y = –6
–4y – 4 + 3y = –6

Answers

Tracy put (-2y-2) where x is in the second equation. This resulted in
  2(-2y-2) +3y = -6
After eliminating parentheses, Tracy had
  -4y -4 +3y = -6

The 4th selection is appropriate:
  -4y - 4 + 3y = -6

Suppose you want to build a rectangular sandbox where the width is 5 feet less than the length and the diagonal is 5 feet longer than the length. what are the dimensions of the sandbox?

Answers

Let L = length
     W = L - 5 ←5 feet less than (reverse order - ) the length (L)
     D = L + 5
These 3 lengths form a right triangle with D being the hypotenuse, c.
Using the Pythagorean Theorem, a² + b² = c²
L² + (L - 5)² = (L + 5)²
L² + L² - 10L + 25 = L² + 10L + 25
L² - 20L = 0
L = 0 (can't use this answer) or L = 20 (this is a usable answer)
Dimensions of the sandbox 20 ft by 15 ft 
Length = 20 ft
Width = 15 ft
Diagonal = 25 ft

A TV has a listed price of $ 899.99 before tax. If the sales tax rate is 7.25 % , find the total cost of the TV with sales tax included.

Answers

Your price for this TV with its tax will be 965.24 dollars

What would “x” be ?

Thanks you

Answers

cos x = 16/21

So x would equal  to 40.37 degrees

Step-by-step explanation:

[tex]cos \: x = \frac{a}{h} \\ cos \: x = \frac{16}{21} = 0.76 \\ cos \: x = 40.36degrees[/tex]

What is the value of x?

132√ cm

526√3 cm

262√ cm

263√ cm

Answers

30 60 90 right triangle on the right
ratio of short leg: long leg :hypo = a: a√3: 2a
So if hypo = 52 cm then short leg = 52/2 = 26 cm

The other right triangle on the left is 45 45 90 because it has 2 equal sides
ratio of leg: leg :hypo = a: a: a√2

the leg = 26 cm
so hypo x = 26√2

Answer
26√2 cm

[tex]\huge \boxed{\sf 26\sqrt{2}\ cm } \\\\\\\sf Using\ trigonometric\ functions \\\\\displaystyle cos \theta = \frac{adj}{hyp} \\\\cos(60)=\frac{adj}{52} \\\\adj=cos(60) \times 52=26 \\\\Using\ the\ Pythagorean\ theorem \\\\x=\sqrt{26^2+26^2} =26\sqrt{2}[/tex]

The area of a rectangular knitted blanket is 14 x^2 - 17 x -6. What are the possible dimensions of the​ blanket? Use factoring.

Answers

It's unlikely that it the dimensions are either 14 and 1 in front of the x or 6 and 1 for the 6, but this is math, so you never know. I would try 7 and 2 and 3 and 2 and see what comes of it.

(7x        2)(2x     3 ) That looks promising. We'll put the 3 with the 2x. That leaves us with the signs. We need 17 to  be minus

(7x        2)(2x - 3) that gives you - 21 x So the 2 with the seven has to be plus.

(7x + 2)(2x - 3) should be the the factored answer.
7x + 2 = 0 has no meaning. Measurements cannot be minus.

2x - 3 = 0
2x = 3
x = 3/2

If there are choices, please list them.  That's as far as is possible.

What is the surface area of the cylinder in terms of pi? The diagram is not drawn to scale.

Answers

Surface Area = 2πr² + 2πrh 

Surface Area = 2π(7)² + 2π(7)(15) = 308π in²²

Answer: 308π in²

The solution is, 308π in² is the surface area of the cylinder in terms of pi.

What is surface area?

Surface area is the amount of space covering the outside of a three-dimensional shape. The surface area of a solid object is a measure of the total area that the surface of the object occupies.

here, we have,

from the given diagram , we get,

the cylinder has,

radius = r = 7

height = h = 15

we know that,

Surface Area = 2πr² + 2πrh

so, we get,

r = 7

h = 15

substituting the values, we get,

Surface Area

= 2π(7)² + 2π(7)(15)

= 308π in²²

Answer: 308π in²

Hence, The solution is, 308π in² is the surface area of the cylinder in terms of pi.

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Find the surface area of the equilateral triangular pyramid.

Answers

C is the correct answer



good luck

Answer:

i think the answer is C.

GOOD LUCK!!!

Suppose that in a large company, 30% of the computers are infected by adware. if 6 computers are randomly selected and tested, what is the probability that 2 of the computers are infected by adware?

Answers

it's either 1.8 or 0.9

Find the quotient. Write your answer USING A DECIMAL and ROUNF TO THE NEAREST HUNDREDTH.


8,426÷82

Answers

This is my work hope it is correct. Do not add 0 at the end. Hope this helps!
the quotient is 102.76

The pyramid shown below has a square base, a height of 7, and a volume of 84. what is the length of the side of the base?

Answers

Volume of a pyramid is (length * width * height) / 3

So we plug in the given information and solve. Let x = length and width since it's a square their measurements are the same.

84 = (x * x * 7) or 84 = 7x²

Divide both sides by 7 to isolate the squared variable. 

x² = 12

Now square root both sides to isolate the variable

x = √12 which simplifies to x = 2√3

The measurements for the length and width of the base are 2√3 units or approximately 3.464 units. 

The length of the side of the base is 6 units.

What is the volume of the pyramid?

The volume of the pyramid is;

[tex]\rm Volume \ of \ pyramid=\dfrac{1}{3}\times height \times Base[/tex]

The pyramid shown below has a square base, a height of 7, and a volume of 84.

Substitute all the values in the formula

[tex]\rm Volume \ of \ pyramid=\dfrac{1}{3}\times height \times Base\\\\\rm84 =\dfrac{1}{3}\times height \times 7\\\\Height = \dfrac{84\times 3}{7}\\\\ Height = \dfrac{252}{7}\\\\Height =36[/tex]

The length of the side of the base is;

[tex]\rm Side\ length^2=height\\\\ Side\ length^2=36\\\\Side\ length^2=6^2\\\\Side\ length=6[/tex]

Hence, the length of the side of the base is 6 units.

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In spherical geometry, what is the term used for the shortest distance between two points?

Answers

The correct answer for the question shown above is: Geodesic.

 The explanation of is shown below:
 1. You have that ,by definition, the spherical geometry studies figures on the surface of the spheres.
 2. And the termn known as "Geodesic" is define as the shortest distance between two points on the surface of a sphere or a curved surface. 

true, false, or open. Explain. 45/x-14=22

Answers

45/x - 14 = 22 
add 14 to both sides

45/x -14 +14 = 22 +14
45/x = 36
36 x = 45
x = 45/36 = 5/4 = 1.25

Assuming the cost of cement blocks is $75 per 1,000, how much will it cost for the blocks to build a wall 7ft. tall by 20 ft. long if the block is 6 inches thick and 10 blocks are needed for 1 cubic foot.

Answers

First, we are going to convert the thick of the block from inches to feet. To do that we are going to take advantage of the fact that 1 foot=12 inches to create a multiplier:
[tex]6in* \frac{1ft}{12in} =0.5ft[/tex]

Since the thickens of the wall will be equal to the thickness of each block, the thick of the all is 0.5 feet. 
Now, to find the volume of the wall, we are going to use the formula:
[tex]V_{w}=hlt[/tex]
where
[tex]V_{w}[/tex] is the volume of the wall 
[tex]h[/tex] is the height of the wall
[tex]l[/tex] is the length of the wall 
[tex]t[/tex] is the thickness of the wall
We know for our problem that the wall is 7ft. tall by 20 ft. long, so [tex]h=7ft[/tex] and [tex]l=20ft[/tex]. We also know from our previous calculation that the thickness of the wall is 0.5ft, so [tex]t=0.5ft[/tex]. Lets replace those values in our formula:
[tex]V_{w}=hlt[/tex]
[tex]V_{w}=(7ft)(20ft)(0.5ft)=70ft^3[/tex]

Now we know that the volume of the wall is 70 cubic feet. We also know that 10 blocks are needed for 1 cubic foot, so to find the total numbers of blocks needed, we are going to multiply the volume of the wall by the number of blocks needed for 1 cubic foot:
[tex]TotalBlocks=70ft^3* \frac{10blocks}{1ft^3 } =700 blocks [/tex]

Finally, to find the total cost, we are going to multiply the number of blocks needed by the cost of 1000 blocks:
[tex]TotalCost=700blocks* \frac{75}{1000} =52.5[/tex]

We can conclude that the cost of the wall will be $52.5

In the figure, what is the value of x?

Answers

1. C 2. B 3. D 4. B 5. C

Answer:x=90 °


Step-by-step explanation:

In any circle the exterior angle formed is half of the major arc - minor arc .

Angle formed by tangents or secants = [tex]\frac{1}{2}(Major arc - minor arc )[/tex]

The sum of measure of arcs inany circle is 360°.

Minor arc is given as x°.So Major arc = 360-x.

Substituting the given values in the formula :

[tex]x=\frac{1}{2}(360-x-x)[/tex]

[tex]x=\frac{1}{2}(360-2x)[/tex]

x=180-x

Adding x both sides we have:

2x=180.

Dividing both sides by 2.x= 90.

angle 0 is in quadrant 1 with sin0 = 2/5. Use the Pythagorean identity, sin^2 0 + cos^2 0 = 1, to calculate the value of cos0 as a radical.

Answers

we know that
sin²x+cos²x=1
so 
clear cos x
cos x=(+/-)√[1-sin²x]

in this problem
Angle 0 is in quadrant 1 -----> cos o and sin o are positive
sin o=2/5
cos x=√[1-(2/5)²]----> cos o=√[1-4/25]----> cos o=√[21/25]---> cos o=√21/5

the answer is
cos o=√21/5

You bought 2 pairs of pants at $28.99 each, and one shirt at $21.34. If the tax rate is 5%, what is the total cost of your purchase?

Show how you got the answer

Question 3 options:



$79.32



$58.98



$69.32



$83.29

Answers

So, first let's add the prices together before we calculate the tax rate:
28.99*2 + 21.34
Multiply:
79.32
Now we find the tax rate:
79.32 * 0.05 = 3.966 ( we can round up to 3.97)
Add tax and total:
79.32 + 3.97 = 83.29
The total price is $83.29

The total cost of purchase on 2 pants and 1 shirt is $76.986.

Given that, you bought 2 pairs of pants at $28.99 each, and one shirt at $21.34.

What is the sales tax?

Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.

Now,

The cost of 2 pairs of pants

= 2 ×28.99

= $57.98

Total cost of two pants and a shirt

= 21.34+51.98

= $73.32

Tax =5% of 73.32

= 5/100 ×73.32

= 0.05 ×73.32

= $3.666

Total cost of purchase =73.32+3.666

= $76.986

Therefore, the total cost of purchase on 2 pants and 1 shirt is $76.986.

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Bruce has 97 sports cards. 34 of them are football cards. Which equation can be used to find the number of sports cards y that are not football cards

Answers

Answer: 34 + y  = 97

Step-by-step explanation:

According to the question,

Total number of sport cards = 97

In which some are foot ball cards and some are non football cards.

Let y be the number of sports cards.

Given, 34 cards are football cards.

Therefore, total number of cards = 34 + y

⇒ 34 + y = 97

Which is the equation that will use to find the number of non football cards.


To find the number of sports cards that are not football cards, you subtract the number of football cards from the total number of sports cards. The equation is y = 97 - 34.

To determine the number of sports cards that are not football cards, you need to subtract the number of football cards from the total number of sports cards.

Step-by-Step Explanation:

The total number of sports cards is 97.

The number of football cards is 34.

The number of sports cards that are not football cards can be found by subtracting the number of football cards from the total number of sports cards: y = 97 - 34.

Therefore, the equation y = 97 - 34 can be used to find the number of sports cards that are not football cards.

HIGH AMOUNT OF POINTS! MATH QUESTION! IF YOU DON'T KNOW IT, DON'T ANSWER!

Answers

Solving the equations by graphing requires plotting the given functions.
y=x^2-3
x-y=1
thus the plot will be as shown in the picture. The solutions are:
(-2,-1) and (2,1)


The domain of this graph is {x | x≥−2}.

True.
False.

Answers

The correct answer is:  [B]:  " True ".
_____________________________________________________
Note:  From visual inspecton of the graph shown — [Note:  all images attached refer to the same graph.] :
 
→  We can see that when "x = -2"  ;  there is only one value for "y" ;  and then the "line" of the graph stops for any coordinate corresponding to any "x-value" LESS THAN "-2" ; 

 →  and that there are corresponding "y-coordinates" corresponding to any "x-value that is equal to "-2" and "GREAT THAN  "-2" .
_________________________________________________________



The domain of the graph is {x|x>= - 2}

So the answer is TRUE

1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals negative 4 x

2.) Which kind of function best models the data in the table? Use differences or ratios.

x y
0 1.7
1 6.8
2 27.2
3 108.8
4 435.2

3.) Solve the system of equations algebraically. Show all of your steps.

y equals x squared plus two x; y equals three x plus twenty



PLEASE HELP!

Answers

To solve the given quadratic equation, we simplified and factored it, yielding solutions x = 0 and x = 17. For the data in the table, an exponential function is suggested by the consistent ratio between y-values. Algebraically solving the system of equations results in two solutions: (5, 35) and (-4, 8).

Formula to Solve the Equation

To solve the equation x squared minus 21 x equals negative 4 x, you'll first want to rewrite it in standard form. Moving all the terms to one side gives us [tex]x^2 - 21x + 4x = 0[/tex], which simplifies to [tex]x^2 - 17x = 0[/tex]. To find the solutions, we can factor out an x, giving us x(x - 17) = 0. This yields two solutions: x = 0 and x = 17.

Model the Data in the Table

Looking at the data given, we see that each y-value seems to be a multiple of the previous y-value. This suggests an exponential function might be a better fit than a linear one. To confirm, you can divide each y-value by the previous y-value and observe if the ratios are consistent. Calculating the ratios between consecutive y-values in the table, we see that the ratio is consistently around 4, confirming that an exponential model is appropriate.

Solve the System of Equations Algebraically

To solve the system [tex]y = x^2 + 2x[/tex]and y = 3x + 20, set the right sides of the equations equal to each other:[tex]x^2 + 2x = 3x + 20[/tex]. Bringing all terms to one side gives us the quadratic equation[tex]x^2 - x - 20 = 0[/tex]. Factoring the quadratic equation we get (x - 5)(x + 4) = 0, which gives us two solutions for x: x = 5 or x = -4. Substituting these back into either original equation provides the related y-values, thus giving us two solutions for the system: (5, 35) and (-4, 8).

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