1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vredina [299]
3 years ago
11

A park has a 3m tall tetherball pole, and a 6.8m tall flagpole. The lengths of their shadows are proportional to their heights.

Mathematics
1 answer:
vlada-n [284]3 years ago
5 0

Complete question is;

A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers from the options attached.

Answer:

Options B & D

Step-by-step explanation:

From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.

Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;

3/x = 6.8/y

Let's make y the subject.

y = 6.8x/3

Looking at the options;

Option A: When x = 1.35 m, we have;

y = (6.8 × 1.35)/3 = 3.06 m

For Option B:

When x = 1.8 m,

y= (6.8 × 1.8)/3 = 4.08 m

For Option C:

When x= 3.75 m,

y = (6.8 × 3.75)/3 = 8.5 m

For option D:

When x = 0.6

y = (6.8 × 0.6)/3 = 1.36 m

For option E;

When x = 2,

y = (6.8 × 2)/3 = 4.533 m

From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D

You might be interested in
Identify an angle adjacent to the given angle.
Step2247 [10]
C.....hlj so yeah because it shows it on the diagram
7 0
3 years ago
Which property is used in the first step to solve this equation?
Nat2105 [25]

Answer:

distributive property

4 0
3 years ago
Read 2 more answers
a rectangular prism is 5 meters long, 17 meters wide, and 4 meters high. what is the surface area of the rectangular prism?
Mars2501 [29]

The surface area of rectangular prism is 346 square meters.

Given the figure is rectangular prism.

We know that the surface area of rectangular prism with length L, width W and height H is = 2(LW+WH+LH)

Given that the length of prism = 5 m

Width of prism = 17 m

Height of prism = 4 m

So the total surface area of the rectangular prism is given by,

= 2 [5*17 + 17*4 + 4*5]

= 2 [85 + 68 + 20]

= 2*173

= 346 square meters

Hence the surface area of rectangular prism is 346 square meters.

To know more about Rectangular Prism refer to:

brainly.com/question/24284033

#SPJ4

8 0
1 year ago
PLS help with the question in the picture!
slega [8]

Answers:

y = 50

angle AOB = 100

=========================================

Explanation:

Angle x is an inscribed angle that subtends or cuts off minor arc AB. This is the shortest distance from A to B along the circle's edge.

Angle y is also an inscribed angle that cuts off the same minor arc AB. Therefore, it is the same measure as angle x. We can drag point D anywhere you want, and angle y will still be an inscribed angle and still be the same measure as x.

-------------------

Point O is the center of the circle. This is because "circle O" is named by its center point.

Angle AOB is considered a central angle as its vertex point is the center of the circle.

Because AOB cuts off minor arc AB, and it's a central angle, it must be twice that of the inscribed angle that cuts off the same arc.

This is the inscribed angle theorem.

Using this theorem, we can say the following

central angle = 2*(inscribed angle)

angle AOB = 2*(angle x)

angle AOB = 2*50

angle AOB = 100 degrees

6 0
3 years ago
The 6 in the tens place is ___ the value of the 6 in the tenths place?
a_sh-v [17]
Its 60 all you really had to do is 6 times 10
6 0
3 years ago
Other questions:
  • What is 5 5 7 × 3 1 5
    5·1 answer
  • Place value of whole numbers 301,256,878
    11·1 answer
  • 7(x + 2) = 6(x + 5)<br> OX=-44<br> Ox= -16<br> O x = 16<br> O X= 44
    13·2 answers
  • Find the roots of the factored polynomial.
    15·1 answer
  • The sum of 2/3m and 1/5
    14·2 answers
  • Will make branliest :) please help
    10·1 answer
  • A: A circle has a circumference of 45 cm. What is the BEST estimate of the circle’s diameter?
    6·2 answers
  • Combine the like terms to simplify the expression 2x+3y-5x+4y-8z
    12·1 answer
  • Change the following fractions to 24ths.<br><br> 3/4= ??<br> 5/6= ??
    6·2 answers
  • Hello can someone help me with number 6 its the circled number <br> willing to give 30 points for it
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!