Connor is 6 feet tall and casts a shadow that is 2.5 feet long. He stands next to a tree that is 25 feet tall. How long is the shadow the tree casts? Round your numerical answer to the nearest whole number.

Answers

Answer 1

Answer:

10

Step-by-step explanation:

[tex]\frac{6}{2.5} =\frac{25}{x} \\6x=2.5*25\\6x=62.5\\x=10.417=10[/tex]

Answer 2

The Tree casts a height of 10.41 feet tall.

What is Proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Connor is 6 feet tall and casts a shadow that is 2.5 feet long.

He stands next to a tree that is 25 feet tall.

let the shadow of tree is x feet long.

Using proportion

6/ 2.5 = 25/x

6x = 62.5

x= 10.41 feet

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Related Questions

I’ll give brianliest to anyone who can help me.

Answers

Answer:

the graph cannot represent a function because there are multiple (and likely infinite) places where y has changed but x remains the same

Step-by-step explanation:

someone pls help it is due on monday and thank you
The next model of a sports car will cost more than the current model. The current model costs . How much will the price increase in dollars? What will be the price of the next model?

Increase in price:

Price of next model:

Answers

Answer:

Step-by-step explanation:

1. Given that $53000 represents 100% of the original cost. You know that 6.9% as a percentage is equivalent to 0.069 as a decimal.

Increase in price:

           = 53000 * 0.069

           = $3657

2. The question states that the price of the car model is increasing, so you must add the original cost to the increase in price.

Price of next model:

           = 53000 + 3657

           = $56657

help with practice problem

Answers

Answer:

-5<x<-3

Step-by-step explanation:

Hope this helps! ;-)

I need help solving this

Answers

The end behavior of the function is:

as x ⇒ ∞, f(x) ⇒ ∞as x ⇒ -∞, f(x) ⇒ ∞

So the correct statement is the second one.

How is the end behavior of the graphed function?

For a function f(x), the end behavior is how f(x) behaves when:

x ⇒ ∞x ⇒ -∞

If you look at the graph, you can see that in both ends (left and right) the function ends going upwards. This means that in both limits, the function will tend to positive infinity.

Then the end behavior is:

as x ⇒ ∞, f(x) ⇒ ∞as x ⇒ -∞, f(x) ⇒ ∞

So the true statement is the second one.

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can any one tell me how to solve this ?? I) (-121) + ______ = 11 II). (-81) ÷ 27 = ______
(Integers)​

Answers

Answer:

is this the answer

Step-by-step explanation:

I (-121)+...=11

=(-121)+132

=11

II -81/27

=-3

Solve for x in -
6(3x-5)-7x=25

Answers

Step-by-step explanation:

6 ( 3x - 5 ) - 7x = 25..

18x - 30 - 7x = 25

18x - 7x = 25 + 30

11x = 55

x = 55 / 11

x = 5

[tex]...[/tex]

x=5

Step-by-step explanation:

6(3x-5)-7x=25

18x-30-7x=25

11x-30=25

x=5

helpppppopppppoppppppp

Answers

answer : A
write as improper fraction,
5/4 / 39/8
5/4 x 8/39 = 40/156
40/156 = 10/39
I did an assignment wit this question and I’m almost positive it’s a :))

Is 23/√3 a rational number? Again is 23 over root 3 a rational or irrational number.

Answers

Answer: irrational number

Step-by-step explanation:

Let us write it out.

      [tex]\displaystyle \frac{23}{\sqrt{3} }[/tex]

Next, we will define ratoinal and irrational.

      A rational number is a number that can be written as a whole number, fraction, or decimal that ends / repeats.

      An irrational number is any number that cannot be turned into a fraction.

Let us see which category the number given falls into.

      [tex]\displaystyle \frac{23}{\sqrt{3} } = 13.27905619\;\;\;\;\;\;\text {it goes on...}[/tex]

This means  [tex]\frac{23}{\sqrt{3} }[/tex] is an irrational number.

Which number sentence is not true?
A. | -1 | > 1/2
B. | -1 | = -1
C. | 1/2 | < | -1 |
D. | -1/2 | < | -1 |

Answers

Answer:

Option B

Step-by-step explanation:

|-1| [tex]\neq[/tex] -1

|-1| = 1

Answer:b

Step-by-step explanation: bc it’s right

writes 25 x 10 to the power of 6

Answers

[tex](25*10)^6[/tex]

Sure hope this helps you

And please mark me brianiest if this is correct

Can the sides of a triangle have lengths 2, 13, and 14?

Answers

Answer:

Yes

Step-by-step explanation:

The larger side is smaller than the other sides combined

(2 + 13) > 14

Hope this helps

Please help me with my math please .?

Answers

Answer:

Step-by-step explanation:

This is the required answer.

can someone explain how to do this


im not very smart

Answers

Answer:

50.24sq units

Step-by-step explanation:

4^2=4x4

4x4=16

16x3.14=50.24

If sis equal to 16,c is equal to 14m and b is equal to 19m ,find the angles of 5he triangle ABC with following work steps

Answers

Answer:

Below in bold.

Step-by-step explanation:

a = 16, b = 19 and c = 14.

By the Cosine Rule:

cos A = (a^2 - b^2 - c^2) / -2bc, so:

cos A  = ( 16^2  - 19^2 - 14^2) / (-2*19*14)

             =   -301 / - 532

             =  0.565789

m < A = 55.54 degrees.

Now Using the Sine Rule:

a / sin A = b / sin B

16 / sin 55.54 = 19/sin B

sin B = 19 * sin 55.54 / 16

         = 15.666 / 16

         = 0.979125

m < B = 78.27 degrees.

Finally

m < C = 180 - 55.54 - 78.27 = 46.19 degrees.

1, 2, 2, 3, 4, 6, 8, 9, 10
What is the median?

Answers

Answer:

4

Step-by-step explanation:

Mean (Average) 5

Median 4

Range 9

Mode 2, appeared 2 times

Geometric Mean 3.8971508839086

Largest 10

Smallest 1

Sum 45

Count 9

Sorted Data Set: 1, 2, 2, 3, 4, 6, 8, 9, 10

PLEASE HELP ILL GIVE BRAINLIST OR WHATEVER

Answers

Answer:

1) $181.40

2) $100

3) $81.40

Step-by-step explanation:

Interest rate is 1.5% which mans that the decimal multiplier is 1.015.

1) To find for 40 yrs we do:

40 yrs = 100 x [tex]1.015^{40}[/tex]

           =  $181.40

2) He contributed $100

3) He gained $181.40 - $100

   = $81.40

Nasim is flying a kite, holding his hands a distance of 2.5 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 28 degrees. If the string from the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

The height of Nasim kite above the ground is 51.79 feet

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height from Nasim hand to the kite, hence:

sin(28) = h / 105

h = 49.29

Kite height above the ground = 2.5 + 49.29 = 51.79 feet

The height of Nasim kite above the ground is 51.79 feet

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John spins a fair spinner with 5 equal sections numbered 1 through 5. His spin lands on the number 2. What is the probability that John's next three spins land on the number 2

Answers

Using it's concept, it is found that the probability that John's next three spins land on the number 2 is of [tex]\frac{1}{125}[/tex].

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that out of 5 numbers, one is 2, hence the probability of three consecutive spins landing on two is given by:

[tex]p = \left(\frac{1}{5}\right)^3 = \frac{1}{125}[/tex].

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The first three terms of a geometric sequence are as follows 80, 40, 20 what are the next 2 terms of the sequence

Answers

80 40 20 10 5

Step-by-step explanation: Divide 20 by 40 then 40 by 80 They all are divisible by .5so then times .5 to get the next terms

322 children came to the summer carnival. if each child was given 3 free ride passes for attending, how many free ride passes were given away?

Answers

Answer: 996 free ride passes were given away

Step-by-step explanation:

If each child was given 3 free ride passes, then you have to do 332 x 3 which is 996

What is the measure of angle D?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answers

Answer:

  29.05°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and side lengths in a right triangle. In your triangle, the sides adjacent and opposite angle D are given. The relevant relation is ...

  Tan = Opposite/Adjacent

__

Using the given values, we have ...

  tan(D) = (25 ft)/(45 ft) = 5/9

The value of the angle is found using the inverse tangent function.

  D = arctan(5/9) ≈ 29.05°

The measure of angle D is about 29.05°.

100 points! plus brainlyist!

Answers

Answer:

x=2

Step-by-step explanation:

We must equate f(x)=g(x) ;

x+3=2x^2-3

2x^2-x-6=0, when we solve for x in this equation we get 2 solutions:

x=2, x=-1.5

Since -1.5 is not seen in the table, we consider the value 2.

At x=2 in the table both f(x) and g(x) have the same value 5 and proves f(x)=g(x) has a solution at x=2.

Answer:

x = 2

Step-by-step explanation:

Given:

f(x) = |x| + 3

g(x) = 2x² - 3

From inspection of the table, the equation f(x) = g(x) has a solution when

x = 2 as this is the only value of x when the two functions have the same value of 5.

See attached graph for proof.  The points of intersection are the solutions:  (-2, 5) and (2, 5).  (Since x = -2 is not in the given table, this is not included in the answer to this question).

Kayley needs to find the area of a circle. Which process should she use?

Answers

Answer:

Find the radius then square it, and multiply by pie.
r = 3
π = 3.14159
a = πr2
a = π(3)2
a = π(9)
a ≈ 28.27

Step-by-step explanation:

You just need to find the diameter of a circle, then halve it and plug in the information to the formula above.

Solve the following equation x2+6x=27 x = and

Answers

Answer:

Step-by-step explanation:

Assuming the question is x^2 + 6x = 27x, subtract 6x from both sides.       x^2 = 21x. Then, divide both sides by x and you get x= 0, 21

The table shows the relationship between the number of minutes Ted has driven, m, and the total distance he has traveled, d, in miles. Which equation represents the relationships in the table? Group of answer choices d = 2m m = d d = m - 5 d = m

Answers

The proportional equation that represents the relationship in the table is given as follows:

d = km

In which k is the number of miles he drives per minute(the ratio of the values in the table).

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the constant of proportionality is the number of miles he travels in a minute, which is the ratio of the distances in the table. Hence the equation is given by:

d = km.

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There are two squares. the perimeter of square x is half the perimeter of square y.
how do the areas of the two squares compare?
o a. the area of square x is one-sixteenth the area of square y.
o b. the area of square x is one-eighth the area of square y.
oc. the area of square x is one-fourth the area of square y.
d. the area of square x is one-half the area of square y.

Answers

The area of square x will be one-fourth of the area of square y. Then the correct option is C.

What is a square?

It is a polygon with four sides. The total interior angle is 360 degrees. A square's opposite sides are parallel and all sides are equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

There are two squares.

The perimeter of square x is half the perimeter of square y.

Let the side of the square x be a and the side length of the square y be b. Then we have

Perimeter x = Perimeter y / 2

              4a = 2b

              2a = b

Then the area of the square x will be

Area of square x = (2a)²

Area of square x = 4a²

Then the area of the square y will be

Area of square x = (b)²

Area of square x = b²

Then the area of square x will be one-fourth of the area of square y.

Thus, the correct option is C.

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Does anybody understand this? Been struggling with it for awhile. Use the rectangle to find the measure of the following angles. BAC=25

Answers

Answer:

  ∠CBA =90°; ∠CAD =65°; ∠ACD =25°; ∠CBD = 65°

  ∠BWA = 130°; ∠AWD = 50°

Step-by-step explanation:

The diagonals of a rectangle divide the figure into two pairs of congruent isosceles triangles. The figure is symmetrical about both the vertical and horizontal centerlines. Each corner angle of the rectangle is 90°. Of course, the sum of angles in any of the triangles is 180°.

__

The above descriptions tell you ...

  ∠ABD =∠ACD =∠BAC =∠BDC = 25°

  ∠CBA =∠BCD =∠CDA =∠DAB = 90°

  ∠CAD =∠CBD =∠ACB =∠ADB = 90° -25° = 65°

  ∠BWA =∠CWD = 180° -25° -25° = 130°

  ∠AWD = ∠BWC = 180° -65° -65° = 50°

i need help with v-math

Answers

Answer:

Y=p/9

Step-by-step explanation:

Can u see p = 9y?

But there is no option of p = 9y

So try to work a bit on the formula to y = p/9

Which of the following statements is true for a sphere?


A sphere is the set of all points in space equidistant from a line segment called the radius.

Answer A: A sphere is the set of all points in space equidistant from a line segment called the radius.
A

A sphere is the set of all points in space equidistant from a point called the center.

Answer B: A sphere is the set of all points in space equidistant from a point called the center.
B

A sphere is the set of all points in a plane equidistant from a line segment called the radius.

Answer C: A sphere is the set of all points in a plane equidistant from a line segment called the radius.
C

Answer D : A sphere is the set of all points in a plane equidistant from a point called the center.

Answers

The answer choice which is true of a sphere; A sphere is the set of all points in space equidistant from a point called the center.

What is a Sphere?

A sphere is a geometrical entity that is characterized as a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance from a given point in three-dimensional space. The given point in discuss is the centre of the sphere, and distance, r is the sphere's radius.

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If f(x) = x2 – 2x and g(x) = 6x 4, for which value of x does (f g)(x) = 0? –4 –2 2 4

Answers

The sum of function is a way of adding two or more functions together

The values of x for which f(g(x)) = 0 are -2/3 and -1/3

Sum of functions

The sum of function is a way of adding two or more functions together

Given the following functions

f(x) = x² - 2x

g(x) = 6x + 4

f(g(x) = f(6x +4))

f(6x+4) = (6x+4)² - 2(6x+4)
(6x+4)² - 2(6x+4) = 0
(6x+4) = 0 and 6x+4-2 = 0
x = -2/3 and -1/3

Hence the values of x for which f(g(x)) = 0 are -2/3 and -1/3

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