The sun causes a flagpole to cast a shadow that measures 85 ft. from the base of the pole. At the same time of the day, a 6.5 ft. tall basketball player casts a shadow that measures 9.75 ft.

The basketball player’s little sister is 3.5 ft. tall. At the same time of the day, determine her shadow’s length to the nearest tenth of a foot.

Answers

Answer 1

Answer:

Length of the shadow of player's sister is 5.25 feet.

Step-by-step explanation:

From the figure attached,

AB represents the basketball player and DE is his little sister.

Height of basketball player = 6.5 ft

Length of shadow of the player = 9.75 ft

Height of player's sister = 3.5 ft

Since, ΔABC and ΔEDC are the similar triangles, their corresponding sides will be proportional.

[tex]\frac{AB}{DE}= \frac{ED}{DC}[/tex]

[tex]\frac{6.5}{3.5}= \frac{9.75}{x}[/tex]

x = [tex]\frac{9.75\times 3.5}{6.5}[/tex]

x = 5.25 ft

Therefore, length of the shadow of player's sister is 5.25 feet.

The Sun Causes A Flagpole To Cast A Shadow That Measures 85 Ft. From The Base Of The Pole. At The Same

Related Questions

find the perimeter and area of the shape based on the information provided

Answers

I don’t see anything posted

Answer:

If you were to attach the shape, I could help.

Solve the problem.
Some dogs were playing in
the park. Seven more dogs
ran over. Then there were
nine dogs. How many dogs
were in the park before?

Answers

Answer:

2 dogs

Step-by-step explanation:

2 dogs at 1st plus 7 dogs added equals 9

Isaac walks 8 km north and then 12 km east. How far is Isaac from his starting point?

Answers

Answer:

Step-by-step explanation:

Distance from starting point = 8 + 12 = 20km

ok screw it i need to sneep i can't even do simple addition its too late

sorry

-cheesetoasty

Find the area of the trapezoid, I will give brainlist. If you can please explain how you got the answer

Answers

Answer:

36 sq inches

Step-by-step explanation:

bases are the two parallel sides -- 8" and 4"

height is perpendicular to the base -- 6"

formula for area of a trapezoid:  A = 1/2h·(sum of bases)

A = 1/2(6)(8 + 4)

A = 3(12)

A = 36 sq inches

Each hour, every person who knows a rumor tells two other people. If one person starts the rumor, then after the first hour, three people know the rumor. The next hour, those three people each tell two more people. After eight hours, how many people will know the rumor? You do not have to include units in your answer. (I've asked this question before but the answer I got was 384 and it was incorrect)

Answers

Answer:

64

Step-by-step explanation:

In this problem n is 6 which represents the sixth and final hour of the period. Therefore gn = g6.

g1 = 2 which is the first value in the sequence which corresponds to the first hour where 2 people know the                 rumor.

r = the common ratio is 2, because each successive hour the people who know the rumor doubles... {2, 4, 8...}.

Substitute into equation:     g6 = 2 x 26-1 = 2 x 25 = 2  x 32 = 64 Answer is 64.

Can someone please help me!!!

Answers

Answer: x=20

Step-by-step explanation:

If im wrong, sorry

The angles of a triangle add up to 180 degrees.

(3x+5)+(2x+17)+(2x+18)=180

add the ones alike

3x + 2x + 2x=7x

5+17+18=40

so, 7x+40=180

we need to get the variable by itself so we take away 40 first by subtracting it from both sides of the equal sign

7x=140

we take away 7 from x by dividing it- opposite of multiplication is division

x=20

Answer:

x = 20

Step-by-step explanation:

3x+5° + 2x+18° + 2x+17° = 180° (sum of interior angles in a triangle is 180°)

collect like terms

3x + 2x + 2x + 5° + 18° + 17° = 180°

7x + 40° = 180°

solving for x

x = (180 - 40)/7

x = 140/7

x = 20

!~Brainliest IF YOU CAN SIMPLIFY AND SOLVE FOR THE UNKNOWN~!(3 + 5)² + [8 - 11] + Z = 4(Z - 2)

Answers

Answer:

z=23

Step-by-step explanation:

hope this helps! :)

the ratio of dog to cats in the shelter was 4 to 6 if there were 12 cats how many dogs would there be

Answers

Answer:

8 dogs

Step-by-step explanation:

If there were 6 cats, there would be 4 dogs. Since there is double that amount of cats, then we just double the amount of dogs from 4 to 8, our final answer.

I would appreciate Brainliest but no worries.

An equation is shown below:
BRAINLEST
8(2x – 14) + 13 = 4x – 27

Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)

Part B: What value of x makes the equation true? (4 points)

Answers

Answer:

Answer in explanation section

Step-by-step explanation:

8(2x-14)+13=4x-27.       Given

16x-112+13=4x-27.          Distributive property

16x-99=4x-27.                 Simplify

14x-99=-27.                      subtract

14x=72.                             Subtract

x=36/7.                              Divide to get x


Identify all integers less than -14.

Answers

Answer:

An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative.

Step-by-step explanation:

Answer:

-28, -19, -18, -15,

Step-by-step explanation Cause -14 is more closer to 0 then all 4 of those negative numbers so that mean all 4 of these negative numbers are greater than -14 :) if that makes sense

i really need help please

Answers

Answer:

a = 4, x = 1

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , then

WX = YZ , that is

a² + 5a = 5a + 16 ( subtract 5a from both sides )

a² = 16 ( take the square root of both sides )

a = ± [tex]\sqrt{16}[/tex] = ± 4

Since a > 0 , then a = 4

Also

XY = WZ , that is

x² + 6x = 4x + 3 ( subtract 4x + 3 from both sides )

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Since x > 0 , then x = 1

The circumference of a circle is?

Answers

Answer:

B?

Step-by-step explanation:

Because you know

diameter is answered into the radius then you divide by 2 if your doing a semi circle, but it's demonstrating that you can change it? I DUNNO HOW TO EXPLAIN, but i would go with B!


find the surface area of the following cylinder. Round your answers to the nearest tenth.

Answers

Answer:

233

Step-by-step explanation:

2=33=2=

Jacob has a rectangular garden with an area of 56 square feet.The length of the garden is 8 feet.What is the width if the garden?

Answers

Answer:

The width of the garden is 7 feet.

Step-by-step explanation:

If the area is 56 feet, and the length is 8 feet, we can put this into the area equation.

Area = width * length

A = wl

Substitute variables.

56 = 8w

Divide by 8.

7 = w, or w = 7.

The width of the garden is 7 feet.

The area of a triangle is 36 cm square. Give three possible sets of dimensions for the triangle and explain whether or not you can also give the triangles' side length.

Answers

Answer:

[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

Step-by-step explanation:

Given

Shape: Triangle

[tex]Area = 36cm^2[/tex]

Solving (a): Three possible dimensions

The area of a triangle is:

[tex]Area = 0.5 * Base * Height[/tex]

Let: [tex]Base = 6cm[/tex]

So, we have:

[tex]36= 0.5 * 6* Height[/tex]

[tex]36= 3* Height[/tex]

Solve for Height

[tex]12 = Height[/tex]

[tex]Height = 12[/tex]

So, a possible dimension is: [tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

Let: [tex]Base = 4cm[/tex]

So, we have:

[tex]36= 0.5 * 4* Height[/tex]

[tex]36= 2* Height[/tex]

Solve for Height

[tex]18 = Height[/tex]

[tex]Height = 18[/tex]

So, a possible dimension is: [tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

Let: [tex]Base = 9cm[/tex]

So, we have:

[tex]36= 0.5 * 9* Height[/tex]

[tex]36= 4.5* Height[/tex]

Solve for Height

[tex]8 = Height[/tex]

[tex]Height = 8[/tex]

So, a possible dimension is: [tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

So, the three possible dimensions are:

[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

Solving (b): Can the side lengths be given

We can only determine the base and the height of the triangle, the third side length can not be determined using the available information

All the real numbers have reciprocal except

Answers

All real numbers except 0 have reciprocals. The reciprocal of a negative number must itself be a negative number so that the number and its reciprocal multiply to 1.

Hope this helps!

Find the area of the regular polygon. Round to the nearest tenth if
necessary.
7.5
5.1

Answers

Answer:

that will be 25 if you put 30 in the thing

Please answer the question above

Answers

Answer: 15.4 m

Step-by-step explanation:

The area of a parallelgoram is:

A = bh,

where b is the base and h is the height.

We know that the base is 7.7 meters, and the height is 2 meters, so we can substitute:

A = 7.7 (2)

A = 15.4 m

Hope this helps! :)

HELPP. Mary and Frank have two bags in front of them. Mary's bag has 4 marbles; blue, yellow, red
and green. Frank's bag has 3 marbles; purple, orange, and pink. They will pick from their bag
at the same time. What is the probability of Mary selecting red from her bag and Frank selecting
purple from his bag?




AND CAN SOMEONE EXPLAINING HOW THEY GOT THE ANSWER

Answers

Answer: 1/12 is the answer

Step-by-step explanation: 3 , 4

1 of those colors so , 1/3 x 1/4 = 1/12!!

i hope that helps <3

PLZZZZZ HELPPPP!!!! i'm very confused on what to do !!!! what is the length of the apothem of a regular hexagon with 16cm side lengths round to the nearest tenth

Answers

Answer:

A = 4.6 cm

Step-by-step explanation:

Here, we want to find the length of the apothem, given the side lengths

Mathematically, we have this as;

A = s/2 tan (180/n)

where in this case;

s is the length of the sides which is 16 cm

n is the number of sides (since it is hexagon, we have this as 6)

Substituting these values;

A = 16/2 * tan (180/6)

A = 8 * tan 30

A = 4.62

To the nearest tenth, A is 4.6 cm

Can any of these get round to the Nearest tenth

Answers

Answer:

They both can First=1,885 second=628.3

Step-by-step explanation:

Answer:

Yes, I belive so. For the first one (1.884.95592), you have to round them starting with the lowest place number and work your way up.

Divide (x^3 - 4x^2 - 2x -5) by (x-5)

Answers

Answer:

Quotient = x² + x + 3

Reminder = 10

Step-by-step explanation:

We need to divide , x³ - 4x² - 2x - 5 by x - 5

x - 5) x³ - 4x² - 2x - 5 ( x² + x + 3

- x³ -(+)5 x²

_______________

0 + x² - 2x - 5

x² -5x

__________________

0 +3x - 5

+3x -15

__________________

+10

please help easy 10 points

Answers

hshsuhsbe icbrbrhduus isuabeic

Read the excerpt from "Pilgrim at Tinker Creek The sharks disappeared as each wave rolled toward me then a new wave would swell above i scorpions in amber, sharks that roiled and heaved. Which answer best describes how the word roiled affects this excerpt? It demonstrates that the sharks are wiggling playfully in the water lt illustrates that the sharks are swaying gently. lt suggests that the sharks are moving violently. lt shows that the sharks are swimming in unison.​

Answers

Answer:

Read the excerpt from "Pilgrim at Tinker Creek."

The sharks disappeared as each wave rolled toward me; then a new wave would swell above the horizon, containing in it, like scorpions in amber, sharks that roiled and heaved.

Which answer best describes how the word roiled affects this excerpt?

It shows that the sharks are swimming in unison.

It demonstrates that the sharks are wiggling playfully in the water.

It illustrates that the sharks are swaying gently.

It suggests that the sharks are moving violently.

Step-by-step explanation:

i took the test it is not c

Which of the following equations has the steepest slope?
a) y= 2/3 x+ 4
b) y = 2/5 x + 2
c) y = 3/2 x + 5
d) y = 1/2 x + 1

Answers

D.................................

yall i need help rn please

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If y = 1/2x, then y will always be half of x.

I need help on these Math questions ASAP. Sorry if I come off as annoying. I don't understand these questions and I've researched everything. They've been overdue for about a week now. Sorry.

Answers

Answer:

Ok

Step-by-step explanation:

HELP HEP HELP LAST ONE OMG

Answers

can you take another photo the top part is a bit cut off

Will Give Brainliest
Let ​ x2+8x=7 .​

What values make an equivalent number sentence after completing the square?
Enter your answers in the boxes.

​​x2+8x+ ? ​= ​?

Answers

Answer:

4/6

Step-by-step explanation:

im smart trust

Three friends share 1/4 pan of brownies what fraction of the whole pan of brownies does each friend get

Answers

Answer:

1/12

Step-by-step explanation:

1/4 ÷ 3 = 1/4 x 1/3 = 1/12

Other Questions
4. What was the name of the first show Alan and Howard worked ontogether? Why did it fail when the production moved into a bigger theater? What defines a hero that is fearlessness and make the paragraph long ir has to be a Body paragraph and if you do it long I well give brainlist Why does everyone expect people to awnser questions but they never awnser any them selves like I need help and I've helped loads of people with their questions but not even a single one of my questions are awnsered people just want fee points so they pick easy questions not cool Which statement best describes a characteristic of the national government established by the U.S. Constitution?A The powers of the national government are limitedB The Supreme Court is always rightC The President has complete controlD The states have most of the power Most living organisms need to take in oxygen to survive. What is responsible forproviding most of this oxygen?fish and phytoplanktonplants and seaweedseaweed and phytoplanktoncoral and fish what is the anwser for 7xx Write an inequality for the sentence below and then solve and check it. The sum of w and nine is less than 18 ?% of $10 = $9What is the percentage 50 POINTS!!!A spinner is divided into 4 equal sections numbered 1 to 4. The theoretical probability of the spinner stopping on 3 is 25%. Which of the following is most likely the number of 3's spun in 10,000 spins?1,3672,4002,5383,108PUT SOLUTION AND STEPS PLS 291 divided 6 = what ? R ? In terms of percentages, what are the 3 biggest uses of natural gases? 120CD 165DDL SLNOH3-33010totuouscarFusung 2 calcalcul e.Powerdissipated inheater if therecurrent flowing throughIla 12vheadlampwhflow theL resistance cf ko aCurrentof 2A5athrough which ais flowing HOW DO YOU SOLVE THESE DIAMOND PATTERNS!! Compare and contrast the frog's external anatomy with that of a mammal. State design advantages is has for its lifestyle. A rectangular hotel room is 5 meters by 7 meters. The owner of the hotel wants to recarpet the room with carpet that costs $43.00 per square meter. How much will it cost to recarpet the room? Is there a Marvel superhero or actor that reminds you of your teacher? Why? Help me please I can not figure this out What is 95% as a whole number The area of a circle is 201 square meters. Findthe radius. Paying my bills late will most likely cause my credit score to go down.True or False (GIVING BRAINLIEST)