MATHEMATICS COLLEGE

If a 5 ft tall man cast an 8 ft long shadow at the same time a tree cast a 24 ft long shadow, how tall is the tree?

Answers

Answer 1

Answer:

Answer:

15 feet

Step-by-step explanation:

We have 2 similar right triangles with legs height and length of shadows.

height of men : length of shadows of the man = height of tree : length of shadows of the tree

5 : 8 = x : 24

8x = 5* 24

x = 5*24/8 = 15 (feet)

Answer 2

Answer:

Answer:

15ft

Step-by-step explanation:

5 ft is to 8 ft

A ft is to 24 ft

A = 24*5/8

A = 15ft

15ft

Related Questions

; >-2Find at x=16Please show solving
Please help me on this
What are the domain and range of the real-valued function f(x)=2/3x?A. The domain is all real number except 0. The range is all real numbers except 0.B. The domain and the range are all real numbers.C. The domain is x>0. The range is f(x)>0.D. The domain is all real numbers except 0. The range is all real numbers
Let P be the relation defined on the set of all American citizens by xPy if and only if x and y are registered for the same political party. Not being registered or being registered as an independent also counts as a registration. Check all properties that P has.anti-symmetricreflexivetransitivesymmetric
A cylinder has a height h, and a radius (3h-2)The area of the base is pi (3h-2)^2 The volume of the clinder is V= pi(3h-2)^2h 10. Multiply the polynomials to simplify the expression for the volume: V=pi(3h-2)^2h by

ABCD~LMNO Find the value of MN if AB=12cm, BC=9.6cm and LM= 16cmA) 13cm
B) 7.2cm
C) 12.8cm
D) 13.6cm

Answers

The value of MN is 12.8 cm. The correct option is C

To solve this problem

Corresponding sides are proportional in figures that are comparable to one another (in this case, triangles). That indicates that the corresponding sides' ratios are equal.

Triangles ABCD and LMNO are similar, thus we can establish the percentage based on the matching sides:

AB/BC = LM/MN

Substitute the given values:

12/9.6 = 16/MN

Now, solve for MN:

12 * MN = 9.6 * 16

MN = (9.6 * 16) / 12

MN = 12.8

So, the value of MN is 12.8 cm.

Learn more about proportional here : brainly.com/question/1496357

#SPJ3

The answer is C

Explaining:

For the equation y = 2x2 - 5x + 18, choose the correct
application of the quadratic formula.

Answers

Answer:

Option (2)

Step-by-step explanation:

For a quadratic equation,

ax² + bx + c = 0

roots of this equation can be determined by using quadratic formula,

x = $(-b\pm√(b^2-4ac))/(2a)$

Comparing this quadratic equation with the given equation,

y = 2x² - 5x + 18 = 0

a = 2

b = (-5)

c = 18

By substituting these values in the given formula,

x = $(5\pm√((-5)^2-4(2)(18)) )/(2(2))$

Therefore, Option (2) will be the answer.

1 poitWhat is the equation of the line in slope-intercept form of the line passing
through (1, 4) and (6, -1)? *
O y = x + 5
O y = -x + 5
y = x-5
O y = -x-5
Send me a copy of my responses.

Answers

Answer:

Its y= -x+5

Step-by-step explanation:

see image

There are 21 people on the basketball team and 45 people on the football team. If 100 people attend the athletic banquet … a) What is the minimum and maximum number of people that are on both the basketball and the football teams?
b) What is the minimum and maximum number of people that are on neither of these teams?
Let x = number of individuals both in basketball and football
c) Draw a Venn diagram to illustrate this

Answers

Answer:

a) min: 0; max: 21

b) min: 34; max: 55

Step-by-step explanation:

In the attached Venn diagrams (part c), the overlap of the two circles represents the number on both teams.

a) In the top diagram, there is no overlap, so the number on both teams is 0.

In the bottom diagram, there is complete overlap between the teams, so the maximum number that play both sports is 21 (the minimum team size of the two teams).

both teams minimum: 0; maximum: 21

b) The number on neither team is the number outside both circles. The minimum number will correspond to the case where there is no overlap between teams. In that case, there are 66 team players, so 34 people who are on neither team.

The maximum case is that where the teams completely overlap, so the number not on either team will be those not on the football team: 55 people.

neither team minimum: 34; maximum: 55

How is this number read out loud 0.034