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
artcher [175]
3 years ago
15

A tree casts a 26-ft shadow. A boy stands nearby casts a 12-ft shadow, forming similar triangles. His height is 4.5 for how tall

is the tree
Mathematics
1 answer:
Semmy [17]3 years ago
8 0

9.75 ft

Since the triangles formed by the heights and shadows, the ratios of corresponding sides are equal.

the corresponding sides are the heights and the lengths of the shadows

let h be the height of the tree, then

\frac{h}{4.5} = \frac{26}{12} ( cross- multiply )

12h = 4.5 × 26 = 117 ( divide both sides by 12 )

h = 9.75

hence the height of the tree is 9.75 ft


You might be interested in
What is the height of a triangle if the base is 60 and the hypotenuse is 61?
lions [1.4K]

Assuming that the triangle is a right triangle, we can reverse engineer the Pythagorean theorem (a^2+b^2=c^2).

60^2 + x^2 = 61^2

3600 + x^2 = 3721

x^2 = 3600 - 3721

x^2 = 121

x = sqrt121

x = 11

8 0
3 years ago
The perimeter of a rectangle is 128 cm, and the ratio of its sides is 5: 3. Find the area of ​​a rectangle
Juliette [100K]

Answer:

Area = 960 cm^2

Step-by-step explanation:

Perimeter (P) = 2 (l + w)

P = 2l + 2w

Let the length be 5x

Let the width be 3x

From the question, P = 128.

Therefore:

128 = 2l + 2w

Divide both sides by 2.

l + w = 64

Recall we said:

l = 5x

w = 3x

So then:

5x + 3x = 64

8x = 64

Divide both sides by 8

x = 64/8

x = 8.

Since x = 8

Length = 5x = 5*8 = 40cm

Width =3x = 3 * 8 = 24cm

Area of a RECTANGLE:

Area = length * width

Area = 40 * 24

Area = 960 cm^2

7 0
3 years ago
You weigh a gallon of liquid in science class and learn that it is approximately 7.7 pounds. You pass the liquid to the next gro
IceJOKER [234]

Answer:

7.7 pounds = 3.5 kilograms

Step-by-step explanation:

Given that,

Weight of a gallon of liquid = 7.7 pounds

We need to find weight in kilograms.

We must know the relation between pounds and kilograms and it is as follows :

1 kilogram = 2.20 pounds

or

1 pounds = (1/2.2) kilograms

7.7 pounds = (7.7/2.2) kilograms

= 3.5 kilograms

Hence, 7.7 pounds is equal to 3.5 kilograms.

4 0
3 years ago
What is the range of this function?<br> (16, -16)<br> (13, 16)<br> (8, 7)
Likurg_2 [28]

Answer:

(−16,16,7)

Step-by-step explanation:

please mark brainlies

5 0
4 years ago
Read 2 more answers
There are (49)5 ⋅ 40 books at the library. What is the total number of books at the library?
ANTONII [103]
(4^9)5 X 4^0
4^9 is 262,144 x 5 = 1,310,720
1,310,720 x 1 = 1,310,720
7 0
3 years ago
Other questions:
  • The table shows the outputs, y, for different inputs, x:
    13·1 answer
  • If you have a budget of $180 to spend on shirts and pants, what is the greatest number of shirts and pants you can buy if the ra
    8·1 answer
  • Trimming a garage door a carpenter used 30 ft of molding in three pieces to trim a garage door. if the long piece was 2 ft longe
    10·1 answer
  • Can anyone help me with this
    14·1 answer
  • D. A gardener planted 1,000 avocado seeds and expected 10% to not
    9·1 answer
  • Write a real-world situation that could be modeled by the equation 500 + 250x = 300x
    5·1 answer
  • What is the volume of a rectangular prism with the dimensions: base 2/1 2, height 1/1 2, and length 3/1 2?
    10·2 answers
  • Hey What is -5t &gt; 10
    10·1 answer
  • 16. Hanna has a bag of 23 marbles. 5 marbles are red, 6 marbles are blue, and the rest
    10·1 answer
  • Can a kid in pumped up kicks (who weighs 134lbs and is in shape) run from a bullet if the bullet is traveling at 792.48 meters p
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!