if a 42.9ft tall flagpole casts a 253.1ft long shadow then how long is the shadow that a 6.2ft tall woman casts?

Answers

Answer 1

Set up a proportion.
flagpole/shadow = woman/her shadow.

f/s1 = w/s2
f = 42.9
s1 = 253
w = 6.2
s2 = ??? = x

42.9/253 = 6.2 / x
42.9 x = 253*6.2
42.9 x = 1568.6
x = 1568.6 / 42.9
x = 36.56 The womans shadow is 36.56 feet long <<<< ===== answer.

Related Questions

If a(x) is a polynomial function and b(x) is a polynomial function, then which of the following could be the sum of a(x) + b(x)?

A. ex + 2
B. x2 + 2x − log(x)
C. x6 − x4 + 9x
D. 5x² − 3x

Answers

The sum of two polynomial functions will also be a polynomial function. The exponents of the variables in the polynomial function are non-negative integers. Option A is an exponential function. Option B is a logarithmic function.

The formatting is not proper in the options C and D. Only 1 option can be the correct answer.

If the options are:

[tex]C) x^{6} - x^{4} +9x \\ \\ D) 5x^{2} -3^{x} [/tex]

Then option C would be the correct answer as in option D variable is in the exponent which is against the definition of polynomial function.

If the options are:

[tex]C) x^{6} - x^{4} +9^{x} \\ \\ D) 5x^{2} -3x[/tex]

Then option D would be the correct answer as in option C variable is in the exponent which is against the definition of polynomial function.

Answer:
Options C and D are correct

Explanation:
We are given that both functions a(x) and b(x) are polynomial.
This means that adding them will also produce a polynomial function
polynomial a(x) + polynomial b(x) = polynomial c(x)

Now, let's check the given options:
Option A:
e² + 2
This is a exponential function. An exponential function is not a polynomial. Therefore, this option is incorrect

Option B:
x² + 2x - log(x)
This is a logarithmic function. A logarithmic function is not a polynomila.
Therefore, this option is incorrect

Option C:
x⁶ - x⁴ + 9x
This is a polynomial of the 6th degree.
Therefore, this option is correct

Option D:
5x² - 3x
This is a polynomial of the second degree.
Therefore, this option is correct

Based on the above, options C and D are both correct options

Hope this helps :)

Going against the current, a boat takes 7 hours to make a 120 mile trip. When the boat travels with the current on the return trip, it takes 4.5 hours. If x is the speed of the boat is still water and y is the speed of the current, which of the following system of equations could be used to solve the problem?

Answers

The system of equations that could be used to solve the problem is 7(x - y) = 120; 4.5(x + y) = 120. option A

which of the following system of equations could be used to solve the problem?

x is the speed of the boat is still water

y is the speed of the current

7(x - y) = 120

4.5(x + y) = 120

Therefore, the system of equation can be rewritten as;

7x - 7y = 120

4.5x + 4.5y = 120

Complete question:

A. 7(x - y) = 120; 4.5(x + y) = 120

B. 7(x + y) = 120; 4.5(x + y) = 120

C. 7(x - y) = 120; 4.5(x - y) = 120

D. 7(x + y) = 120; 4.5(x + y) = 120

Two sides of a triangle measure 20 cm and 30cm. What is the third side?

Answers

Hi there!

It depends on what angles there are, and how many degrees are in each angle. In order to figure this problem out, you need to know at least one angle ;)

Hope this helps!

I think the measure of the third side is 11 cm.

Hope this helped☺☺

What is the volume of this right triangular prism?

A.)144.2 cm3
B.)164.8 cm3
C.) 288.4 cm3
D.) 1153.6 cm3

Answers

You’re answer is B, you just have to multiply all of the sides together and then add your sums.

Hope this helps:)

The volume =0.5* Length * width * height
= 0.5* 7 *4* 10.3 =144.2 cm3

What is the area of the triangle in this coordinate plane? 9.0 units² 14.0 units² 16.5 units² 24.5 units² A graph with a triangle drawn on it

Answers

I took the test, the correct answer is 16.5 units²

what is the tangent of 33.0?

Answers

Tan(33) = 0.6494
This is just a problem for your calculator. Most put the number in as
Tan(
3
3
=

A function is a relationship that maps__.
A) many inputs to many outputs or one input to one output
B) many inputs to many outputs or many inputs to one output
C) one input to many outputs or one input to one output
D) one input to one output or many inputs to one output

Answers

Solution:

A function is always a relation but a relation is not always a fucntion.

For example

we can make a realtion of student roll number and their marks obtained in mathematics.

So we can have pairs like (a,b), (c,d)..etc.

Its a realtion but it may not be function. Because function follows that for same input there should not be diffrent output, aslo there could be many inputs to one output in the case of constant function . But this doesn't holds a necessary condition in case of relation.

Because two diffrent students with two diffrent Roll number may have same marks.

Hence the foolowing options holds True in case of a function.

A) many inputs to many outputs or one input to one output.

D) one input to one output or many inputs to one output.

Answer:

The correct answer is D. A function is when an input has one output. An input can only have one output but an output can have multiple inputs. Hope this helps!

A bag of fruit contains 3 apples, 2 oranges, 1 banana and 4 pears. What is the probability that I will pull out a banana first and a pear second?

Answers

1/2 if simplified. If you don't want it's simplified then it's 5/10

The probability of pulling out a banana is 1 out of 10 (which is not high) and of choosing a pear second is 4 out of 10 (which is higher)

Jeremiah built a box that was 5 inches long by 6 inches wide by 7 inches high .he started filling it up with 1 cube.he realized quickly that he did not have nearly enough cubes to fill the box .can he still figure out how many cubes it will hold?

Answers

To determine the number of cubes he needs to fill the box (this is assuming the cubes are 1 in cubes, he would need to calculate the volume of the box. To find the volume he would multiply the length by the width by the height. This would be 5 in x 6 in x 7 in. The volume is 210 cubic inches, so he could fill it with 210 one inch cubes.

Please help with these I need to pass

Answers

3-
[tex]((11 + 19) \times 10) \div 2 \\ = (30 \times 10) \div 2 = 300 \div 2 = 150[/tex]the answer is 150 units^2

4- the area of the rectangle:
[tex]14 \times 21 = 294[/tex]
the area of the triangle :
[tex](16 \times(21 - 12)) \div 2 = \\ (16 \times 9) \div 2 = 144 \div 2 = 72[/tex]
the area of the whole shape:
[tex]294+ 72 = 366[/tex]
the answer is 366 units^2
hope this helps

It is given that y varies directly as x. If y = 5 when x = 4 determine the constant of variation.

A) -4/5
B) 4
C) 5
D) 5/4

Answers

D) 5/4, I had this question on a quiz.

When one thing varies to another there is always a constant of variation. direct variation it is; y = kx

use the x,y values to find k
5 = 4k
5/4 = k

answer is D

PLEASE NEED HELP WITH A-D

Answers

a.
4(d+3c)

b.
6(3x+5y)

c.
7(3a+4y)

d.
8(3f + 7g)

Hello there! I can help you! For this question, we write this in distributive property by finding the GCF of both terms. As far as we see for all 4 of them, there are no like variables, and we find the GCF, just like we would for constants. When you find the GCF, be sure to divide each terms by the GCF, and then place the GCF outside the parenthesis. If you solve this correctly, here are your answers:

a. 4(a + 3e)

b. 6(3x + 5y)

c. 7(3a + 4y)

d. 8(3f + 7g)

PLEASE HELP!!!! SOLVE: |2x+1|+|3x−4|=5

Answers

i have no idea what the lines mean :(

2x+1+3x-4=5
5x-3=5 Group like terms
5x=8 Add 3 to the end to isolate x
x=1.6 Divide 8 by 5
Hope this helped

A bicycle manufacturer is reducing the number of spokes on each bicycle wheel by 4. A wheel on one of the company's new cross-country bikes has 32 spokes. Which equations could be used to determine the number of spokes s that a wheel on a cross-country bike used to have? A. S + 32 = 4 B. S + 4 = 32 C. S - 32 = 4 D. S - 4 = 32

Answers

The answer is letter a

Write an equition that expresses y in terms of x

Answers

y = 5x + 2

y on the left side is expressed in terms of x on the right side.

Solve each equation. Factor and use the zero product property to solve. Show all work algebraically.

Answers

23.

5n^2 = 4n^2 - 4n

n^2 + 4n = 0

n(n + 4) = 0

n = 0   or   n + 4 = 0

n = 0   or   n = -4

24.

d^2 - 4d = 3d

d^2 - 7d = 0

d(d - 7) = 0

d = 0   or   d - 7 = 0

d = 0   or d = 7

25.

3 - 13h = 3 - 8h + h^2

Subtract 3 from both sides.

-13h = -8h + h^2

Add 13h to both sides.

0 = 5h + h^2

0 = h(5 + h)

h = 0   or   5 + h = 0

h = 0   or   h = -5

What situation could this diagram represent?

Answers

Answer: B- Flipping two coins once

Step-by-step explanation:

B. Tossing Two Coins Once

I Got it Right i Promise

if a cone-shaped hole is 3 feet deep and the circumference of the base of the hole is 44 ft, what is the volume of the hole? use 22/7 for pi

Answers

To find the volume of the whole, you will use the formula for finding the volume of a cone. V = 1/3 x r^2 x h.

You will first need to find the radius by using the information given about the circumference and the circumference formula.

C = pi x d
44 = 22/7 d
d = 14 feet.

Then use the diameter to find the radius of 7 feet.

V = 1/3 x r^2 x h
1/3 x 7^2 x 3
V = 49 cubic feet

Final answer:

To find the volume of a cone-shaped hole with a depth of 3 feet and a base circumference of 44 ft, calculate the radius using the circumference formula, then plug the radius and height into the volume formula to get 154 cubic feet.

Explanation:

The volume of a cone-shaped hole can be calculated using the formula V = (1/3) × π × r² × h, where r is the radius of the base and h is the height of the cone. In this case, the circumference of the base, 44 ft, can be used to find the radius. Given that the radius is 14 ft, and the height is 3 ft, you can substitute these values into the formula to find the volume of the hole.

Calculate the radius: Circumference = 2πr, so r = Circumference / 2π = 44 / 2π = 7 ft.

Calculate the volume: V = (1/3) × 22/7 × 7² × 3 = 154 ft³.

What is the approximate volume of a basketball with the circumference of 42ft ?

Answers

we know that

[volume of a sphere]=(4/3)*pi*r³

length of a circumference=42 ft
[length of a circumference]=2*pi*r-------> r=[length of a circumference]/(2*pi)
r=[42]/(2*pi)---------> r=6.6845 ft

[volume of a sphere]=(4/3)*pi*6.6845³-----------> 1251.11 ft³

the answer is 1251.11 ft³

five criterion team bikes cost $ 11,300. How much would the club have to pay for a dozen criterion team bikes?

Answers

First of all divide 11,300 by 5 and get 2,260 which then multiply it by 12 which will get you 27,120 as the answer.

So it would cost $27,120 to get a dozen criterion team bikes.

The cost for one Criterion team bike is $2,260, calculated by dividing $11,300 by 5. Therefore, for a dozen bikes, which amounts to 12, the club would have to pay a total of $27,120.

The question involves a simple ratio or unit price problem and can be solved using basic multiplication. If five Criterion team bikes cost $11,300, to find the cost of one bike, divide the total cost by the number of bikes: $11,300 / 5 = $2,260 per bike. Then, to find the cost for a dozen (12) bikes, multiply the cost of one bike by 12: $2,260 x 12 = $27,120. Therefore, the club would have to pay $27,120 for a dozen Criterion team bikes.

A cake recipe requires 1 2/3 cups of milk how many cups altogether are necessary to make 4 cakes

Answers

For four cakes you would need to multiply 4 times 1 2/3 which equals
6 and 2/3

1 2/3*4=

5/3*4=

20/3=

6 2/3.

Hope this helped☺☺

Please answer all
WILL GIVE BRAINLIEST!

Answers

A and C are obvious. Not sure about B though.

In which quadrant of the coordinate graph does point F lie? Quadrant I Quadrant II Quadrant III Quadrant IV

Answers

Please provide the graph that shows point F.
But, Quadrant 1 is the top right corner, Quadrant 2 is the top left, and it continues like that in a counterclockwise way.

The quadrant of the coordinate graph does point F lie in quadrant IV.

What is Quadrant in Graph?

The coordinate system's two axes, the x-axis and the y-axis, constitute a region called a quadrant.

The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.

The sign notations for four Quadrants is as follows:

Quadrant I :

both x and y positive.

Quadrant II :

x negative and y positive

Quadrant III:

x and y both negative.

Quadrant IV:

x positive and y negative.

As, the point F has coordinates (1,-5) which shows x is positive and y is negative.

So, point F is in quadrant IV.

Learn more about Quadrant here:

https://brainly.com/question/9182164

#SPJ5

Jason has two bags with 6 tiles each. The tiles in each bag are shown below: Make 6 squares. The squares are numbered sequentially from 1 to 6. Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing the tile numbered 2 from the first bag and the tile numbered 3 from the second bag?

Answers

The answer would be 1/12 or 2/12 im not sure.

The correct answer is [tex]\frac{1}{36}[/tex]

To solve this problem, we need to find the probability of drawing the tile numbered 2 from the first bag and the tile numbered 3 from the second bag.

Given:

- Bag 1 contains tiles numbered 1, 2, 3, 4, 5, 6.

- Bag 2 contains tiles numbered 1, 2, 3, 4, 5, 6.

- The desired outcome is drawing tile 2 from Bag 1 and tile 3 from Bag

Step 1: Find the total number of possible outcomes.

Total number of outcomes = Number of tiles in Bag 1 × Number of tiles in Bag 2

Total number of outcomes = 6 × 6 = 36

Step 2: Find the number of favorable outcomes.

Number of favorable outcomes = 1 (drawing tile 2 from Bag 1 and tile 3 from Bag 2)

Step 3: Calculate the probability of the desired outcome.

Probability = Number of favorable outcomes / Total number of outcomes

Probability =[tex]\frac{1}{36}[/tex]

write the equation of the parabola below

Answers

Answer:
Equation is: y = 0.5x² + 0.5x - 3

Explanation:
general form of the parabola is:
y = ax² + bx + c

Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.

First point that we will use is (0,-3).
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3

The equation now becomes:
y = ax² + bx - 3

The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I

The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II

Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5

Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a
b = 1.5 - 2(0.5)
b = 0.5

Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3

Hope this helps :)

if a line is tangent to a circle at how many points does it interest the circle?

Answers

The intersection of a tangent to a circle and the circle is at exactly one point. Don't let a drawing fool you. In a drawing, it looks like there are several points of intersection, but keep in mind that a point has no dimensions, no length, width, or height, and a line has only length but no width. A drawing is just a representation of a point and a line, so we can see them.

If a line is tangent with a circle, it has one point in common with it.

Last year, there were 80 students in the orchestra. This year there are 100 students in the orchestra. Determine the percent of increase in the number of students taking orchestra from last year to this year.
A 25%, because 100-80/80= 25%
B 20%, because 100-80/100= 20%
C 80%, because 80/100= 80%
D 125%, because 100/80= 125%

Answers

Hi there!

The answer is A.

To find the percent increase, you need to 1. Find the difference between the two numbers, and 2. Divide it by the original number.

100-80/80 = 25%

Hope this helps!

Solve the equation and show all work please show steps!!
2n-3=9

Answers

2n - 3 = 9

If you are solving for n:

Isolate it by doing the opposite of PEMDAS; Also, what you do to one side you do to the other (because of the equal sign)

2n - 3 = 9

2n - 3 (+3) = 9 (+3)

2n = 12

2n/2 = 12/2

n = 6

n = 6 is your answer

hope this helps

2n-3=9
------------
Add 3 to each side
2n−3+3=9+3
2n = 12
------------------
Divide each side by 2
2n ÷ 2 = 12 ÷ 2
n = 6

9/3 write the fraction as a whole number

Answers

The answer is 3 because 9 divided by 3 is 3

Hey, Name's Jessy. I hope, I answer your question.

48/5 = 9 3/5

It converting mixed numbers into Improper Fractions. To convert a mixed number into an improper fraction, multiply the whole number by the denominator and add it to the numerator.

Bill says that he can add 23 and 40 without regrouping. Is bill correct? How do you know?

Answers

He can because you can add it mentally. You can just have 23 in your head and count by adding 10 "4" times.

Hope this helped☺☺

Yes because 23+40 equals to 63 without any twist or turns, it is a simple answer

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