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
insens350 [35]
2 years ago
7

Jason planted and staked a tree. The stakes are 21 ft from the base of the tree. They are connected to wires that attach to the

trunk at a height of 20 ft. Find the length of a wire. O14 ft 15 ft 20 ft 29 ft Jason planted and staked a tree . The stakes are 21 ft from the base of the tree . They are connected to wires that attach to the trunk at a height of 20 ft . Find the length of a wire . O14 ft 15 ft 20 ft 29 ft ​
Mathematics
1 answer:
devlian [24]2 years ago
3 0

Answer:

29 ft

Step-by-step explanation:

The distance along the ground from one stake to the tree, 21 ft, and the distance up the trunk from the ground, 20 ft, are the legs of a right triangle. The length of the wire is the hypotenuse of the right triangle. We can use the Pythagorean theorem to solve this problem.

a² + b² = c²

(21 ft)² + (20 ft)² = c²

c² = 841 ft²

c = √(841 ft²)

c = 29 ft

Answer: 29 ft

You might be interested in
What is AE ? Enter your answer in the box. units Two segments A D and B C intersect at point E to form two triangles A B E and D
spin [16.1K]

Answer:

The length of AE is 20 units.

Step-by-step explanation:

Given two segments AD and BC intersect at point E to form two triangles ABE and DCE. Side AB is parallel to side DC. A E is labeled 2x+10. ED is labeled x+3. AB is 10 units long and DC is 4 units long.

we have to find the length of AE

AB||CD ⇒ ∠EAB=∠EDC and ∠EBA=∠ECD  

In ΔABE and ΔDCE

∠EAB=∠EDC      (∵Alternate angles)

∠EBA=∠ECD      (∵Alternate angles)

By AA similarity, ΔABE ≈ ΔDCE

therefore, \frac{AE}{ED}=\frac{AB}{CD}

⇒ \frac{2x+10}{x+3}=\frac{10}{4}

⇒ 8x+40=10x+30

⇒ x=5

Hence, AE=2x+10=2(5)+10=20 units

The length of AE is 20 units.

5 0
3 years ago
Triangle ABC is a right triangle and cos(22.6)
Anon25 [30]
Wat r u asking about this problem

5 0
3 years ago
Which point is the vertex of the quadratic function f(x) = x^2-6+8?
Free_Kalibri [48]

Answer:

Step-by-step explanation:

f(x)= x^2 - 6x + 8

a of s= 6/2 = 3

(3)^2 - 6(3) + 8

9 - 18 + 8

-9 + 8 = -1

(3, -1)

answer is B

7 0
3 years ago
If the length of the hypotenuse of a right triangle is 39 millimeters and the length of one leg is 15 millimeters what is the le
Genrish500 [490]

Answer:

36 millimeters

Step-by-step explanation:

From Pythagoras theorem, the square of the hypotenuse is equal to the sum of the square of the two other legs

In mathematical terms;

a^2 = b^2 + c^2

Let a represent the hypotenuse = 39 mm and the length of one leg, say c, is 15 mm

Slotting in the values of a and b

39^2 = b^2 + 15^2

1521 = b^2 + 225

collect like terms

1521 - 225 = b^2

1296 = b^2

Take the square root of both sides

36 = b

Therefore b = 36 mm

6 0
3 years ago
Question one please and show work ​
Ilya [14]

Answer:

Step-by-step explanation:

c is correct bcause if you work out a it says is less than. then the gcf is 2 and 3 but do 2 times 3

6 0
3 years ago
Read 2 more answers
Other questions:
  • Ron walked 8/10 mile from his grandmothers house to the store. Then he walked 9/10 mile to his house. Use benchmarks to estimate
    9·1 answer
  • Solve please ...... thx
    15·2 answers
  • Which is a unit rate?<br> A. 1/7 <br> B. 48/4<br> C. 34/1 <br> D. 40/5
    13·2 answers
  • Jason has 34 blueberry scones and 85 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag
    14·1 answer
  • What is the greatest common factor of 35,10
    8·2 answers
  • Describe the relationship between complex and real numbers. Include a
    8·1 answer
  • Use the multiplication property of equality to multiply both sides of the equation by 1/6 to get: (1/6)6x=(1/6)48.
    11·1 answer
  • The graph shows the relationship between the amount of milk and water used in a recipe
    12·1 answer
  • Help me out in this question pleaseeeeeeeee
    5·1 answer
  • Help me please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!