A tree casts a shadow of 28 feet. At the same time, a biologist who is 7 feet tall casts a shadow of 2 feet.
How tall is the tree?
O 8 feet
78 feet
14 feet
98 feet

Answers

Answer 1

Answer:

Step-by-step explanation:

7/2 = t/28

t = 98 ft

Answer 2

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base.  The height of the tree is equal to 98 feet.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Using the tangent function of the trigonometry, we can write the ratio of the height to the base will be equal because the angle of sun rays is the same for both.

Height of Tree /Shadow of Tree = Height of the biologist / Shadow of the biologist

Height of the tree/ 28 = 7/2

Height of the tree = (28×7)/2

Height of the tree = 98 feet

Hence, the height of the tree is equal to 98 feet.

Learn more about Tangent (Tanθ):

https://brainly.com/question/10623976

#SPJ2


Related Questions

the owner of a pet shop buys budgie bells in packs of 30 bells. she pays 12p per bell. She sells 3/5 of the bells for 50p each and the rest for 40p each. How much profit does she make on the whole pack of budgie bells?

Answers

Answer: 1020p

Step-by-step explanation:

The total cost of the bells will be:

= 12p × 30 = 360p

She sells 3/5 of the bells for 50p each. This will be:

= (3/5 × 30) × 50

= 18 × 50p

= 900p

She sells the remaining 2/5 for 40p each. This will be:

= (2/5 × 30) × 40

= 12 × 40

= 480p

Then, total revenue will be:

= 900p + 480p

= 1380p

Profit = Revenue - Cost

= 1380p - 360p

= 1020p

Francesca had 32 cups of flour. She used 3/8 of the flour for a recipe how much flour did Francesca used

Answers

She used 12 cups of flour.

Make a proportion to where 8/8 equals 32.
3/8 equals ?/32
Then cross multiply and divide.
32 x 3 = 96
96/8 = 12

You can also think of it like this. What number times 8 will get you 32?
Well that’s 4.
So 3 x 4 = 12
Since they are proportions of each other what the bottom is multiplied the top must be as well

DeVron collected data for five basketball players in
one game and arranged it into matrices as shown.
Free throw points: A=[2 3 1 10 6]
Total Points: B=[8 7 5 18 20]
C=[3 2 1 5 4
Fouls on:
D=[2 3 0 4 1
Fouls by:

Answers

Answer:B-A

Step-by-step explanation:

Answer:

B-A

Step-by-step explanation:

EDGE 2021 ASSIGNMENT AQR

Solve the equation for b 4a + 6c – 2b = 12 .​

Answers

Answer:

b=2a+3c−6

Step-by-step explanation:

Let's solve for b.

4a+6c−2b=12

Step 1: Add -4a to both sides.

4a−2b+6c+−4a=12+−4a

−2b+6c=−4a+12

Step 2: Add -6c to both sides.

−2b+6c+−6c=−4a+12+−6c

−2b=−4a−6c+12

Step 3: Divide both sides by -2.

−2b

−2

=

−4a−6c+12

−2

b=2a+3c−6

Answer:

b=2a+3c−6

Pleaseee help answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 104 degrees

y = 76 degrees

z = 104 degrees

quadrilateral have to add up all of their interior angles to 360 degrees.

x and c are  opposite interior angles.  after finding that you have to add those 2 together (208) and subtract that from 360. You should get 152. However andgle B (angle y) and angle D are also opposite interiors so you divide 152 by 2 and get 76 degrees.

Also a straight line is 180 degrees so you subtract the degrees of D by 100 to get angle z.

Answer:

m∡x = 104°

m∡y = 76°

m∡z = 104°

Step-by-step explanation:

m∡A ≅ m∡C

m∡B ≅ m∡D

to find m∡B:  2(104) + 2y = 360

                       208 + 2y = 360

                       2y = 152

                        y = 76

m∡z:  180° - 76° = 104°

The data above can be modeled by the function f(x) = 0.0425x^2 + 0.07381x - 0.49107 . Using this equation, predict the skid distance for a car that is driving 50 mph.

Answers

Answer:

f(50) = 109.44943 feet

Step-by-step explanation:

Modeling

The model of a situation where the skid distance f is measured against the car speed x can be expressed as:

[tex]f(x) = 0.0425x^2 + 0.07381x - 0.49107[/tex]

Using this equation, we can predict the skid distance for a car that is driving at x=50 mph by substituting in the equation of the model:

[tex]f(50) = 0.0425*50^2 + 0.07381*50 - 0.49107[/tex]

[tex]f(50) = 106.25 + 3.6905 - 0.49107[/tex]

f(50) = 109.44943 feet

For which value of x will the rational expression below be undefined? Check all that apply. (x-5)(x+2)/x+1 A. -5 B. -1 C. 1 D. 5 E. -2 F. 2

Answers

Answer:

B. -1

Step-by-step explanation:

Given expression:

(x-5)(x+2)/(x+1)

This is undefined when the denominator is zero:

x + 1 = 0x = -1

Correct choice is B

Answer:

Answer :-

[tex] \sf \: \dfrac{(x - 5)(x + 2)}{x + 1} [/tex]

Now,

Taking denominator as 0

x + 1 = 0

x = 0 - 1

x = -1

The zeros of function d are -3 and 8. Which expression could be a factor of function d?
A.(x + 3)
B.(x + 5)
C.(x + 8)
D.(x - 3)

Answers

im guessing that it is c but if not I AM SOO SORRY

Answer:

C.(x + 8)

Step-by-step explanation:

Pls mark brainliest

Evaluate the expression x - 9, if x = 12. 21 17 4 3

Answers

Answer:

3

Step-by-step explanation:

x - 9

12 - 9

= 3

The answer is 3.

What is the x-intercept of the graph of y=3-5x?
a (3/5,0)
b (-5,0)
c (0,3)
d (0, 5/3)

please help! this is due soon! thanks! :)

Answers

Answer:

3/5,0

Step-by-step explanation:

y=3-5x

5x+y= 3

y. = 3/5x

I think so answer is 3/5,0

Is (-1,3) a solution to the system: y=4x+1 Y=x - 2

Answers

Answer: no the solution is (-1,-3)

Step-by-step explanation:

Step-by-step explanation:

step 1. a solution to a 2 variable system must work for both equations

step 2. y = 4x + 1, 3 = 4(-1) + 1, 3 = -4 + 1. no.

step 3. answer: no.

Mr. Dunbar takes his wife out to dinner at Macados to celebrate the holidays. Their total bill was $48.36 but he had a coupon to save 15% off. He had a great waitress so he planned to leave a 25% tip. How much did Mr. Dunbar spend to take his wife out for dinner?

Answers

Answer:

$51.38 or $60.45

Step-by-step explanation:

$48.36 minus 15 percent is $41.10. If you're tipping the waitress 25 percent from that price, then it would be $51.38. If you're tipping the waitress 25 percent from the original price, it would be $60.45.

If the sum of two numbers is 5 and their product is 6 then find the sum of the square of the numbers ?

PLEASE HELPPPPP........


Answers

Answer:

The numbers are 2 and 3. 2^2+3^2=4+9=13

Step-by-step explanation:

Answer:

13 is your answer.

let two no. be x and y

by question

x+y=5

x=5-y...........(1)

xy=6.............(2)

putting the value of x in equation 2) we get

(5-y)y=6

5y-y²=6

y²-5y+6=0

y²-3y-2y+6=0

y(y-3)-2(y-3)=0

(y-3)(y-2)=0

either

y=3

or

y=2

putting the value of y in equation 1

when y=3

x=5-3=2

when

y=2

x=5-2=3

now

when

x=3 y=2

the sum of the square of the numbers=x²+y²=3²+2²=9+4=13

The area of this rectangle is at most 400 square centimeters. Write and solve an inequality to represent the

possible values for the height, h, for this triangle. Show all steps of your work

Answers

Answer:

1ft≤h≤25ft

Step-by-step explanation:

The area of a rectangle is expressed as;

Area = Length * height

A = Lh

If the area of a rectangle is at most 400 square centimeter, this is expressed as;

A ≤400

≤ means at most that is the area of the rectangle cannot be greater than 400

Substitute the given value into the inequality expression

Lh ≤ 400

Given

L = 16

16h ≤ 400

Divide both sides by 16

16h/16 ≤ 400/16

h ≤ 400/16

h ≤ 25

Hence the possible values of the height are with the range 1ft≤h≤25ft since we cannot have a negative value for the dimension

Last Friday David rented 4 movies from the video store. This Friday he rented 2 movies. Let x represent the cost of renting each movie. Write and simplify an expression for how much more David spent last week renting movies.

Answers

Expression:

4x - 2x

Simplified:

2x

how has personal finance literacy affect you in your daily life?

Answers

Answer:

I have no idea. Is this a real question? If it, I'll answer it to the best of my ability. :)

Step-by-step explanation:

Super bowl reflection ( has to be about bucs because this is a question my teacher is asking for a grade and I didn’t watch it and we live in the bucs city so uh yea)

Favorite play?
Favorite commercial?
Favorite entertainer?

Answers

i didn't watch it but i liked that men's soap commercial

50:15
There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the classroom?
O 3 to 4
О 4 to 3
0 4 to 7
O 7 to 4

Answers

Answer:

12:16 is boys to girls

16 : 28 is girls to everyone so..

4 to 7, the third answer

Brainiest plz?   :)

what is the opposite of + 7
answer choices :
7
7-
-7
7+

Answers

the answer
the answer is -7

So I need 20 words but I don’t get why so here’s this useless sentence

Answers

14(10) + 2, 14x10 is 140 plus 2 = 142
2(7(10) + 1) 7x10 = 70 + 1 = 2(71) = 142

-3x-5=16
what is x in the equation

Answers

Answer:

x=−7

Step-by-step explanation:

Step 1: Add 5 to both sides.

−3x−5+5=16+5

−3x=21

Step 2: Divide both sides by -3.

−3x/−3=21/−3

Answer:

x = -7

Step-by-step explanation:

Hello.

I can help.

To solve algebraic equations all you need to do is get rid of everything on the side of the x except the x.

Lets look at your problem.

-3x - 5 = 16

An important thing to note is we are going to get rid of things on the left side of the = by doing the opposite of what they're doing.

If it is addition we do subtraction

If it is division we do multiplication

and so on.

ALSO

Whatever we do on the left side of the = we must do the same thing to the number on the right.

Now, let us start trying to solve this.

You always want to start with the number that is alone without the variable / letter.

So :

-3x - 5 = 16

Since it is -5 lets add 5 to make it 0 and get rid of it.

-3x - 5 = 16

     +5  +5

(Remember to do it to the other side of the = too)

Now we have :

-3x = 21

Now we want to get rid of the 3 attached to the x. And since these two are multiplying we need to divide the -3 by itself to make it 1. Since one number divided by itself is 1.

So like this :

-3x = 21

/-3    /-3

NOTE : When you are dividing or multiplying negative numbers there is an important key to be aware of. Here is a short key to go off of :

- x - = +

- x + = -

So a negative times a negative will be a positive.

While a positive times a negative, the negative will over ride the positive and the answer will be negative.

Going back to the equation, here is what we do :

-3x / -3 = +x (Not negative)

And :

21 / -3 = -7 (Is negative)

So now our equation is :

x = -7

And this is our final answer.

I hope this helped.

If you have any questions or concerns do comment or message me. :)

. When 2 times a number is increased by 4,
the answer is the same as when 25is
decreased by the number. Find the number.

Answers

Answer: The number is 7

Step-by-step explanation:

Let x be the [number]

Rephrase the expression

2 times a number is increased by 4, it is the same as 25 decreased by the number

2x+4=25-x

Calculate

Given

2x+4=25-x

Add x on both sides

2x+4+x=25-x+x

3x+4=25

Subtract 4 on both sides

3x+4-4=25-4

3x=21

Divide 3 on both sides

3x/3=21/3

x=7

Hope this helps!! :)

Please let me know if you have any questions

Write an
equation of a line with the given slope and y-intercept.
m=-2, b=3

Answers

Answer:

y=-2x+3

Step-by-step explanation:

y=mx+b

m=-2,b=3

so, y=-2x+3

hopes this helps

¿si un comedor cuesta 17890, en cuanto se incrementa su precio al agregarle el 16% de iva?

Answers

branly is the best way to clean up the house and I will be there at the same time I don't have a car

what is the factored form of -40+2×^2-2x​

Answers

Answer:

2(x - 5)(x + 4)

Step-by-step explanation:

Given

- 40 + 2x² - 2x , that is

2x² - 2x - 40 ← factor out 2 from each term

= 2(x² - x - 20) ← factorise the quadratic

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 1)

The factors are - 5 and + 4 , since

- 5 × 4 = - 20 and - 5 + 4 = - 1 , then

x² - x - 20 = (x - 5)(x + 4) and

2x² - 2x - 40 = 2(x - 5)(x + 4) ← in factored form

Standard
Expanded
Written
6000 + 900 + 10 + 5

Answers

Answer: This is written in Expanded form.

Step-by-step explanation: The number is 6,915, to write a number in expanded form, write it's place values by the number it's in.

Ex: Expanded form of 5,731: 5,000 + 700 + 30 + 1

How many mathematical statements could you write using the numbers 4,5 and 20 for example 4x5=20 how many problems could you make using those same numbers

Answers

Answer:

20 Divided By 5 = 4 or 5 x4 = 20

Step-by-step explanation:

what is the value of x?

Answers

answer is x=8

hope that helps lol

1.1
QUESTION 1
Simplify the following without using a calculator
1.1.1 -4 * (8-(-3)) +7
1.1.2 + 55-20-4​

Answers

Answer:

−36.89

31.22

Step-by-step explanation:

Which situation is a true statement about payment options?
CLEAR CHECK
A, An advantage of online banking is that you do not need to keep detailed records when paying bills.

B, Paying with a credit card means the amount you spend will be deducted from your checking account.

C, Keeping track of your debit card transactions will help avoid charges resulting from insufficient funds.

D, To avoid paying interest on your credit card purchases, pay on

Answers

Answer:

C. Keeping track of your debit card transactions will help avoid charges resulting from insufficient funds.

Step-by-step explanation:

Correct on TTM

Answer:

C

Step-by-step explanation:

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