Mathematics High School

You want to find out the height of a tree, so you hold a square cardboard so that the edges line up with the top and bottom of the tree, as shown in the diagram below. Your friend measures the horizontal distance from you to the tree, and the vertical distance from the ground to your eye.
What is the height of the tree to the nearest tenth of a foot?

Answers

Answer 1

The height of the tree to the nearest tenth of foot is 20.5 ft

Right angle triangle:

A right angle triangle has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.

Therefore,

The base of the big triangle can be found as follows:

c² = a² + b²

c² = 9.2² + 5.8²

c² = 84.64 + 33.64

c = √118.28

c = 10.8756608995

c = 10.88 ft

Therefore, using similar triangle ratio,

5.8 / 10.9 = 10.9 / x + 5.8

5.8x + 33.64 = 118.81

5.8x = 118.81 - 33.64

5.8x = 85.17

x = 85.17 / 5.8

x = 14.6844827586

x = 14.68

Therefore, the height of the tree = 14.7 + 5.8 = 20.5 ft

learn more on right angle triangle here: https://brainly.com/question/26909069

Related Questions

Help me out please hurry!!

Answers

Answer:

I guess you forgot to attach something

Step-by-step explanation:

Hope it helps!!!

U get 30 pointshhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

3.25

Step-by-step explanation:

The mean is the average of the data. I remember this by thinking, 'the average person is mean.'To find the average, or mean, you would add all of the variables together and divide it by the number of variables. The number of variables here would be 10, because there are 10 litters.We would add the amount of kittens together and divide it by 10. This will get us 57 ÷ 10 = 5.7.To find the MAD, take the mean (5.7) and subtract each number from 5.7, then square it. For example... [tex][5.7 - 4]^{2}[/tex] would be solved by first subtracting what is in the parenthesis (PEMDAS) which gets us 1.7, then multiplying it by itself (1.7 • 1.7) which equals 2.89.Repeat this process for all data points.What I got for all of the data points [listed below]Once you get all of the data points, you add them all together. This gets you 32.5.Now you divide 32.5 by 10, (to find the average of it) which gets you 3.25.2.89.49.49.09.091.695.295.295.2910.89

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

please show your work using quadratic form

Answers

Answer:

3(x²−4x+7)

Step-by-step explanation:

Factor 3x2−12x+21

3x2−12x+21

=3(x ²−4x+7)

i do not know this answer

Answers

Answer:

9,-2

Step-by-step explanation:

sorry if im wrong

Calculator
What is the volume of this sphere?
9 m

Answers

Answer:

The volume of a sphere is equal to 43 times Pi π times the radius cubed. Substitute the value of the radius r=9 into the formula to find the volume of the sphere. Pi π is approximately equal to 3.14

I am not sure though

PLEASE HELP ME!!!! THIS IS DUE SOON!

In this module we reviewed finding the GCF of numbers and then finding the GCF of monomials. Below is an example of this work. Which statement best explains the similarities between the two methods?

Group of answer choices

When looking for common factors, we circle terms not in common between factors

When looking for common factors we are looking for the prime factors that are in common and then multiplying the prime factors together to get the GCF.

There are no similarities between finding the GCF of monomials and the GCF of numbers.

When looking for common factors, we use factor trees to determine the common factor and then dividing prime factors to get the GCF.

Answers

Answer:

2nd choice

When looking for common factors we are looking for the prime factors that are in common and then multiplying the prime factors together to get the GCF.

Step-by-step explanation:

The picture shows the choice that is being used to find the GCF.

Answer:

2nd choice

When looking for common factors we are looking for the prime factors that are in common and then multiplying the prime factors together to get the GCF.

The surface area of a cone with radius r units and slant height s units is shown below:
Surface area = 3.14(rs + p2)
Part A: If r = 6 units and s = 4 units,

write an expression that can be used to calculate the surface area of the cone.

Part B: What is the surface area of the cone? Show your work.

PLEASE HELP WILL GIVE BRAINLIEST AND 5.0 STAR RATING

Answers

Answer:

A. 3.14(6·4 +6²)

B. 188.4 square units

Step-by-step explanation:

Use the given expression to calculate surface area by substituting the numbers for the corresponding variables.

3.14(rs +r²) . . . . for r = 6 and s = 4

= 3.14(6·4 +6²)

Evaluating the above expression gives the surface area:

= 3.14(24 +36) = 3.14(60) = 188.4 . . . square units

Find the distance between the points(-9,8) and (7,-10) if one unit represents one kilometer

Answers

Answer:

√X2-X1+√Y2-Y1

=√7-(-9) +√-10-8

=√16 + √-18

=4 + -(√18)

=4 + (-3√2)

=-0.24

Step-by-step explanation:

by answering this you must use the distance formula and label -9 as X1 , 8 as Y1 and 7 as X2 , -10 as Y2 then you put X2-X1 in the same root sine do the same at Y2-Y1.

Find the quotient of z1 by 22. Express your answer in trigonometric form
HELP ASAP

Answers

Condense z₁ and z₂ into their exponential forms:

z₁ = 3 (cos(π/4) + i sin(π/4)) = 3 exp(i π/4)

z₂ = 7 (cos(3π/8) + i sin(3π/8)) = 7 exp(i 3π/8)

Then the quotient of z₁ and z₂ is

z₁ / z₂ = 3/7 exp(i (π/4 - 3π/8)) = 3/7 exp(-i π/8)

and in trigonometric form,

z₁ / z₂ = 3/7 (cos(-π/8) + i sin(-π/8))) … … … D

A cardboard box is shaped like a cube. The length of each side is 15 inch

What is the volume of the box, in cubic inches?

Answers

Answer: 3375 cubic inches

Step-by-step explanation:

Formula for the volume of cube is : V=a^3

so V = 15*15*15

V= 3375 cubic inches

The formula of solving the volume is length times width times height
So: 15 times 15 times 15 equals 3375 cubic inches. 3375 is the volume.
The width and height are 15 because the cardboard box is shaped like a cube which makes the length height and width the same.

Carlos mide 54 pulgadas de estatura ¿cual es la estatura de Carlos en pies?

Answers

Hola!

carlos mide 4.5 pies

Explicación:

Hay 12 pulgadas en 1 pie

Hacemos 12 por 54 porque hay 54 pulgadas

12 * 54 = 540

Lo hacemos como un decimal porque esto es en pies

= 4.5

English:

Hello!

Carlos is 4.5 feet tall.

Explanation:

There are 12 inches in 1 foot.

We do 12 times 54 because there are 54 inches

12 * 54 = 540

We do it as a decimal because this is in feet

= 4.5

A 4-column table has 3 rows. The first column is labeled Item with entries 50 inch plasma television, laptop computer, refrigerator. The second column is labeled Rent-to-own payments with entries 65 dollars per week for 1 year, 30 dollar per week for 1 year, 28 dollars per week for one year. The third column is labeled Installment plan with entries 146 dollars per month for 12 months, 100 dollars per month for 12 months, 80 dollars per month for 12 months. The fourth column is labeled Retail price with entries 1,450 dollars, 1,000 dollars, 800 dollars. Joshua is in college, and his computer broke. He can get it repaired, but it will take three weeks. What is the best decision that Joshua can make if he wants to spend the least amount of money? rent a computer for three weeks pay cash for a new computer use a rent-to-own program to buy a new computer use an installment plan to buy a new computer.

Answers

Answer:

A. rent a computer for three weeks

Step-by-step explanation:

hope it helps

Answer:

rent a computer for three weeks

Step-by-step explanation:

yes

1. Janet is 1. 5 m tall and her brother is 1. 2 times taller. Their father is half their combined height, which is 0. 1 m more than their mother's height.

a) what is the combined height for Janet's mother and father?

b) Is Janet more or less than half of her parent's combined height?

Answers

Answer:

1.5+1.2=2.7

2.7÷2=1.35

1.35=dad's height

1.35-0.1=1.25 mothers height

2.6 combined height of mother and father

b) more than half

how to change fraction into percentage

Answers

Here is your Answer:-

ConvertFractions to Percents Divide the top of the fraction by the bottom, multiply by 100 and add a "%" sign.

Answer:

To change a fraction to a percentage, you can divide the numerator by the denominator then multiply the result by 100. Alternatively, you can multiply the numerator by 100 first then divide the result by the denominator of the fraction

[tex]⭐[/tex]

3 more than the quotient of 18 and x

Part A Write as a expression
Part B evaluate that same expression when
X=3

Answers

Answer:

Step-by-step explanation:

[tex]3 (\frac{18}{ x} ) = 3 \times (\frac{18}{3} ) = 18[/tex]

The second angle of a triangle is 100 more than the first angle. The third angle is two times the first. Find
the three angles.
First angle:
Second angle:
Third angle

Answers

Answer:

Step-by-step explanation:

Please help me
What goes to what definition

Answers

Answer:

e, e, d, a, c

Step-by-step explanation:

The first two statements in the proof are given.

1. e

2. e

The third statement is the result of the midpoint, so we have the reason for statement 3.

3. d

LM is the third side of the triangles and is congruent to itself.

4. a

The triangles are congruent by having three sides congruent to three sides.

5. c

A thin wire of length 18 cm is bent down in the shape shown. Calculate the direct distance from A to B.

Answers

Answer:

give the pic..................

what is (x, y) (kx, ky)

Answers

Answer:

AllRealNumbers

Step-by-step explanation:

If you multiply x by k and y by k it would be the same if you did not so it would be AllRealNumbers

I don't know what to choose

Answers

Well the one your choosing is wrong but go with your instincts. And I swear 7th grade online is hard so I recommend going back in person

Two similar rectangles have a scale factor of 2. What is the ratio of their areas?

Answers

Answer:

Step-by-step explanation:

If the polygons are similar, this means that the ratio of their corresponding sides are equal. This ratio is what we commonly refer to as the scale factor. The ratio of the area of similar polygons is equal to the SQUARE of SCALE FACTOR. For this item since the scale factor is 2, the ratio of the areas is equal to 4.

12) Iz'lrian bought kg of chicken. He used of it to make chicken soup. How many kilograms of chicken
did he use to make the soup?

Answers

Answer:

1 kg

Step-by-step explanation:

Because he bought only that much

Please Solveeeeeeeee and make sure your correct

Answers

Answer:

Step-by-step explanation:

For A it's the first and the last.

For B it's the last

Let me know if this helped. Brainliest is appreciated <3

What is the value of s?

Answers

Answer:

Step-by-step explanation:

(s-13) +s = s + 50

2s - 13 = s + 50

add 13 both sides, subtract the s from both sides

s = 63

Answer:

s = 63°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

s + 50 is an exterior angle of the triangle , then

s + 50 = s - 13 + s

s + 50 = 2s - 13 ( subtract s from both sides )

50 = s - 13 ( add 13 to both sides )

63 = s

What is the slope of the line that passes through the points (6,-8) and (6,-3)?
Write your answer in simplest form.

Answers

Given:-

[tex] \: \: [/tex]

The slope of the line that passes through the points (6, -8) and (6, -3)

[tex] \: \: [/tex]

[tex] \rm \: Let's \: x_1 = 6 , \: y_1= -8 \: and \: \: x_2 = 6 , \: y_2 = -3 [/tex]

[tex] \: \: [/tex]

[tex] = \sf \large \frac{(y_2 - y_1 )}{(x_2 - x_1) } [/tex]

[tex] \: \: [/tex]

[tex] \sf \large \: = \frac{ -3 \: + \:8}{6 \: - \:6} [/tex]

[tex] \: \: [/tex]

[tex] \sf \large = \frac{ - 5}{0} [/tex]

[tex] \: \: [/tex]

[tex] \sf \large = \infty [/tex]

[tex] \: \: [/tex]

Slop is undefined

[tex] \: \: [/tex]

Hope Helps! :)

For a snack, Sameer ate a plum with 32 calories and several strawberries with 4 calories each. If the total number of calories in Sameer’s snack was 56, how many strawberries did he eat?

6 strawberries
8 strawberries
14 strawberries
22 strawberries

Answers

6 Strawberries

56-32=24
24/4=6

Answer:

6 straberries

Step-by-step explanation:

-32

=24

24 divided by 4 is six.

hope this helps!

Can somebody help me with this question?

Answers

Answer:

[tex]\frac{2}{5}\vec{a}+\vec{b}[/tex]

Step-by-step explanation:

[tex]\vec{DE}=\vec{DB}+\vec{BE}[/tex]

[tex]=\frac{3}{5}\vec{OB}+\frac{1}{5}\vec{BC}[/tex] [tex]\left\{OD:DB=2:3,BE:EC=1:4\right\}[/tex]

[tex]=\frac{3}{5}\left(\vec{OA}+\vec{AB}\right)+\frac{1}{5}\left(\vec{BA}+\vec{AO}+\vec{DC}\right)[/tex]

[tex]=\frac{3}{5}\left(\vec{a}+\vec{b}\right)+\frac{1}{5}\left(-\vec{b}-\vec{a}+\vec{3b}\right)[/tex]

[tex]=\frac{2}{5}\vec{a}+\frac{2}{5}\vec{b}+\frac{3}{5}\vec{b}[/tex]

[tex]=\frac{2}{5}\vec{a}+\vec{b}[/tex]

I hope this helps you

A point at (-4,10) in the standard (x,y) coordinate
plane is translated right 10 coordinate units and down
4 coordinate units. What are the coordinates of the
point after the translation?

Answers

Translation involves changing the position of a point along the standard coordinate plane

The coordinate of the point after translation is (6,6)

How to translate the point

The point is given as:

(-4,10)

When the point is translated 10 units right, the new coordinate becomes

(-4 + 10,10)

(6,10)

When the point is translated 4 units down, we have:

(6,10 - 4)

(6,6)

Hence, the coordinate of the point after translation is (6,6)

Answers

Since it’s indicated that BC and AD are congruent, you can set the two sides/equations equal to one another:

3x+3=x+21

Then, you can solve for x:

3x+3=x+21
2x=18
x=9

Plugging in 9 into either equation of BC or AD should give you 30 for both sides:

3(9)+3=30
(9)+21=30

For CD, you can also plug in 9 for x:

2(9)-9=18

Since AB and CD are labeled as congruent, both sides are 18.

x=9
AB=18
BC=30
CD=18
AD=30

Convert to a mixed number and simplify: 83 over 6

Answers

Answer:

[tex]13\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\frac{60}{6}=10[/tex] (low estimate to make later estimates easier)
[tex]10+\frac{24}{6} =14[/tex] (high estimate, must make lower)
[tex]14*6\neq 83[/tex] (incorrect estimate)

[tex]84-83=1[/tex] (correcting estimate)

[tex]14-\frac{1}{6} =13\frac{5}{6}[/tex] (corrected estimate)

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