A palm tree casts a shadow that is 28 feet long. A 6-foot sign casts a shadow 8 feet long.
How tall is the palm tree

Show your work Please

Answers

Answer 1

Answer: The height of the palm tree is 21 feet.

Step-by-step explanation:

We can use a ratio to solve this:

Actual height to shadow for both objects. The fraction equivalents must be equal.

6/8 = x/28 . Cross multiply

6(28) = 8x

168 = 8x   Divide both sides by 8  (8's "cancel" on the right)

168/8 =8x/8

21 = x . This gives us the tree's height as 21 feet.

Another way to solve this is to use the ratios, but simplify the first fraction

6/8 = 3/4

Then multiply the length of the shadow by 3/4

3/4 × 28 = height

28÷4 = 7    7 × 3 = 21

21  feet= the height of the palm tree.


Related Questions


2) Aliyah had $24 to spend on seven pencils.
After buying them she had $10. How much
did each pencil cost?
Please help
I’m taking a test

Answers

Answer:

$2 per pencil

Step-by-step explanation:

In total the seven pencils costed $14 so 14 ÷ 7 = 2

24-10=14
14/7=2
2$ per pencil

!!!please help answer 1 and 2!!!!!!!!! I'll give crown and make a question for you with a lot of points!

Answers

Answer:

1. As x increases, y increases at the same rate. Meaning the amount between the x and y values stays the same.

2. Yes there is a proportional relationship between the x and y values because the x and y values increase at the same rate.

show work


6 <3x +2 (x-7)​

Answers

6 < 3x + 2(x-7)
6 < 3x +2x -14
6 < 5x -14
20 < 5x
4 < x
x > 4

Which equations represent functions? ​

Answers

Answer:

4x =16

Step-by-step explanation:

Hope this helps :)

If Jalysa wanted to make 1 cake, she would have to use 3 cups of flour and 2 cups of sugar. How many cups of flour and sugar would she use if she wanted to make 5 cakes?

Answers

1 cake uses 3 cups of flour and 2 cups of sugar, so multiply the cups of sugar and flour times 5 (because that’s how many cakes we’re making) so a simple formula would be 5(3) to find the amount of flour we are going to use for the five cakes and 5(2) for the sugar.
Jalysa will use 15 cups of flour and 10 cups of sugar for five cakes. I hope this helps!

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What is the solution???!!!!

Answers

8

because 2x is like 2×4=8

Y=2x+4
0=2x+4
-2x=4
X=-2

3x + 6 < 2x - 5
How to solve

Answers

Answer:

x<-11

Step-by-step explanation:

3x+6<2x-5

subtract the far x to gather

1x+6<-5

subtract singles

1x<-11

simplify

x<-11

Vertx: (3, 1)
Focus: (3,-1)

Answers

Answer:

i need help with this one two

Step-by-step explanation:

.

Solve the system of linear equations by elimination.
8x - 5y = 11
4x – 3y = 5

Answers

I think this is the answer

8x - 5y = 11
4x - 3y = 5

Answer:

12x - 2y = 16

f(x)= -3x+20

find f (5)

Answers

Answer:

f(5)=5

Step-by-step explanation:

plug in 5 for x

-3(5)+(20)

-15+20

=5

Calculate the area of the shade region at the right. Us the appropriateunit

Answers

Answer:

17 X 8 = 136^

area of a triangle

0.5 X b X h

0.5 X 8 X 17 = 68 cm^

136 - 68 = 68 cm^

total shaded area = 68 cm^

100 points !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! please answer this question question

explains why preparing meals in space is more complicated than preparing meals on Earth. (respond directly )

Answers

Answer:

because in space there is something called microgravity. eating in mirco gravity can be very hard. salt and peppers just float away. and that can clog the air vents and go into astronauts nose and eyes.

Step-by-step explanation:

have a wonder ful day

A round cake has a diameter of 30 cm. What is the circumference of the
cake?

Answers

Answer: 56

Step-by-step explanation:

Just trust me I had this question on a quiz

Answer:

The circumference of cake board is 35π cm

There are 4 colors of Starburst flavors: yellow, pink, red, and orange. If the probability of getting an orange is 2 5 2 5 , yellow is 1 10 1 10 , and the probability of getting red is 3 10 3 10 , what is the probability of getting pink?

Answers

Answer: 1/5

Step-by-step explanation:

From the question, we are informed that there are 4 colors of Starburst flavors: yellow, pink, red, and orange. We are further told that the probability of getting an orange is 2/5, yellow is 1/10 , and red is 3/10.

The probability of getting pink would be:

= 1 - [P(orange) + P(yellow) + P(red)]

= 1 - (2/5 + 1/10 + 3/10)

= 1 - (4/10 + 1/10 + 3/10)

= 1 - 8/10

= 2/10

= 1/5

Work out 50 as a percentage of 10
5%
A
20%
B
400%
C
500%
D

Answers

50 as a percentage of 10 would be D. 500%
I got D that is 500% hope it helps

whiuch value makes the following equation true 2(x+8)= x+20

Answers

Answer:

x = 4

Step-by-step explanation:

2(x + 8) = x + 20

2x + 16 = x + 20

-x           -x

x + 16 = 20

   -16     -16

x = 4

Answer:

x=4

Step-by-step explanation:

2x  + 16 = x + 20

-x           -x

1x + 16 = 20

   - 16 = -16

1x = 4

1      1 = 4    (x=4)

Carlos has a box full of 48 brown, 3 yellow, and 2 orange toy blocks. Determine how likely it is for Carlos to randomly select each color toy block from the box. Select Unlikely, Neither Likely nor Unlikely, or Likely for each color toy block.

Answers

Answer:

likely nor unlikely

Step-by-step explanation:

carlos can pivk any

It is likely for Carlos to randomly select a brown block, but unlikely for him to randomly select a yellow or orange block.

What are permutation and combination?

A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.

For each color, we can determine the probability of selecting that color by dividing the number of blocks of that color by the total number of blocks in the box:

Brown: 48 blocks out of 53 total blocks = 48/53

≈ 0.91, which is Likely.

Yellow: 3 blocks out of 53 total blocks = 3/53

≈ 0.06, which is Unlikely.

Orange: 2 blocks out of 53 total blocks = 2/53

≈ 0.04, which is Unlikely.

Therefore, it is likely for Carlos to randomly select a brown block, but unlikely for him to randomly select a yellow or orange block.

Learn more about Permutation and combination here:

https://brainly.com/question/15268220

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What is equivalent to 9/7 ?

Answers

Answer:

1.28571428571

Step-by-step explanation:

9/7+1.2 in all

Answer:

18/14

Step-by-step explanation:

9/7 x 2/2 = 18/14

Someone help pls I'll give BRAINLIEST

Answers

Answer:

An obtuse triangle has one angle larger than 90 degrees (deg). Given information, the two base angles EDF and EFD are represented by one variable x, therefore they are equal.

The sum of all angles of any triangle is 180 deg so angles EDF + EFD + DEF = 180 deg

Since the obtuse angle must be larger than 90 deg, the sum of the other two angles must be less than 90.

Angles EDF + EFD < 90 and 90 < DEF can be re written

An inequality of angles EDF + EFD < DEF

Since angles EDF and EFD are equal to x their sum is (x + x) or 2x, so we can write

2x < 90 divide both sides by 2

{0 < x < 45} is all possible values of x.

A function can be written to represent this. The function will accept input of the obtuse angle and output the two equal acute angles.

F(x) = (180 - x) / 2

where x is the measure of the obtuse angle. Only works for symmetric triangle. F(x) is the measure of each of the other two angles.

I NEED HELP FAST PLEASE THIS IS DUE TODAYYY

Sammy and 4 friends went out to lunch together. They all ordered the same thing for lunch. Sammy was the only one who ordered dessert, which cost $6.00. The total bill was $24.75 before tax and tip. Sammy paid for his own dessert. How much did each person’s lunch cost?

Group of answer choices

$4.95

$3.75

$6.19

$4.69

Answers

Answer:

$4.95

Step-by-step explanation:

What is the area of the base of the cone?

A cone with diameter 18 centimeters, height of 12 centimeters, and slant height of 15 centimeters.

B = pi r squared
18 pi centimeters squared
81 pi centimeters squared
225 pi centimeters squared
324 pi centimeters squared

Answers

Answer:

81 pi centimeters squared

Step-by-step explanation:

Area of circle = πr²

18/2 = 9

π9²

π(9 x 9)

π81

the answer is b 81 pi centimeters squared

The area of a triangle is 10 square cm. The base is LaTeX: 2\:\frac{1}{2}2 1 2 cm. Find the height.

Answers

Answer:

[tex]Height = 40[/tex]

Step-by-step explanation:

Given

Shape: Triangle

[tex]Area = 10cm^2[/tex]

[tex]Base = \frac{1}{2}cm[/tex]

Required

Determine the height

Area of a triangle is calculated as:

[tex]Area = \frac{1}{2} * Base * Height[/tex]

Substitute values for Area and Base

[tex]10= \frac{1}{2} * \frac{1}{2}* Height[/tex]

[tex]10= \frac{1}{4}* Height[/tex]

Multiply both sides by 4

[tex]4 * 10= 4 * \frac{1}{4}* Height[/tex]

[tex]4 * 10= Height[/tex]

[tex]40= Height[/tex]

[tex]Height = 40[/tex]

Hence, the height is 40cm

What is the value of x in the solution to this system of equations?
3 x-5 y= 22
y=-5 x + 32

Answers

Answer:

6.4

Step-by-step explanation:

The intersection point of 3x-5y=22 and y=-5x+32 is (6.4,0) on a graph, therefore, "x"=6.4

1. 8 feet to 10 feet *

Answers

Answer:

ratio 8:10

Step-by-step explanation:

the ratio is 8:10

Answer:

as a ratio 8:10

Step-by-step explanation:

This, I need the answer to this

Answers

Answer:

Cos60=x/11

X=5.5cmmmmmmmmmmmm

x square+4x+4 factories that

Answers

Answer:

(x+2) (x+2)

Step-by-step explanation:

X^2+4x+4

X^2+2x+2x+4

x(x+2) +2(x+2)

(x+2) (x+2)

You have a cube with sides numbered 1 through 6. Find the probability of rolling a 3 or 4. Explain each step using complete sentences.

Answers

Answer: 1/3

Step-by-step explanation:

From the question, we are informed that there is a cube with sides numbered 1 through 6.

The probability of rolling a 3 or 4 means that we can get 2 numbers out of possible 6. Therefore, the probability will be:

= 2/6

= 1/3

ANSWER ASAP PLEASE I REALLY NEED HELP

Answers

Answer:

y = 1/2x + 4

Step-by-step explanation:

You have a picture posted with it?

When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally. Estimate the rocket's distance (Find the missing side of triangle).​

Answers

Answer:

i don t this topic because i am the secundary

Step-by-step explanation:

.

The value of rocket's distance will be 51.66.

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally.

Now,

Since, When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally.

And, The figure is shown the right triangle.

So, We can apply the Pythagoras theorem as;

⇒ x² = 50² + 13²

⇒ x² = 2500 + 169

⇒ x² = 2669

⇒ x = √2669

⇒ x = 51.66

Thus, The value of rocket's distance will be 51.66.

Learn more about the Pythagoras theorem visit:

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Colin gets £r wages each week. After he pays his tax of £t, he then pays his rent of £190. He
shares whats eft between himself and his wife. How much do they each get?​

Answers

Answer:

[tex]\frac{r-t-190}{2}[/tex]

Step-by-step explanation:

Turn it into an equation

[tex]\frac{r - t - 190 }{2}[/tex] = There share

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