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
Dahasolnce [82]
3 years ago
9

The diagram below shows some measurements taken from a new bridge. How long is the bridge?

Mathematics
1 answer:
neonofarm [45]3 years ago
6 0

Answer:

1,737.3 feet

Step-by-step explanation:

Let's assume the length of the bridge consists of 2 right triangles as shown in the diagram. Use pythagorean theorem to find the other missing leg of each right triangle.

Let the missing leg for each triangle be x and y respectively.

Length of bridge = x + y

✔️x = √(1115² - 860²) = √503,625

x ≈ 709.7 (nearest tenth)

✔️y = √(1340² - 860²)

y ≈ 1,027.6 (nearest tenth)

✔️ Length of bridge = 709.7 + 1,027.6 = 1,737.3 ft

You might be interested in
For every 24 minutes of television there are 6 minutes of commercials .How many are there in 1 hour and 36 minutes of television
Soloha48 [4]

Answer: 24 minutes of commercials

Step-by-step explanation:

96 minutes total divided by 24 which is 4 then 4 times 6 is 24 so 24 min of commercials are in 1 hour and 36 min

4 0
3 years ago
Anyone else wanna talk? or be friends?
creativ13 [48]

Answer:

55.4176955.4176955.4176955.41769

Step-by-step explanation:

8 0
2 years ago
Determine if the following infinite series converges or diverges
Mandarinka [93]

Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.

<h3>How do we verify if a sequence converges of diverges?</h3>

Suppose an infinity sequence defined by:

\sum_{k = 0}^{\infty} f(k)

Then we have to calculate the following limit:

\lim_{k \rightarrow \infty} f(k)

If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.

In this problem, the function that defines the sequence is:

f(k) = \frac{k^3}{k^4 + 10}

Hence the limit is:

\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0

Hence, the infinite sequence converges, as the limit does not go to infinity.

More can be learned about convergent sequences at brainly.com/question/6635869

#SPJ1

6 0
1 year ago
Read 2 more answers
Find angle B and angle E
Natali [406]

Answer:

x = 9, Angles are 54°

Step-by-step explanation:

First, we need to find x:

7x-9 = 5x+9

+9 +9

7x = 5x+18

-5x -5x

2x = 18

x = 9

Now, we plug our x value in to find our angles.

5(9) + 9 = 54

Angle B = 54°

7(9) - 9 = 54°

Angle E = 54°

(angles are the same due to AAA property)

6 0
2 years ago
(14, -8 ) and (7, -6)
Aleksandr [31]

Answer:

-0.28

Step-by-step explanation:

(-6)-(-8)=2.

7-14=-7

2/-7=-0.28

5 0
3 years ago
Read 2 more answers
Other questions:
  • Please help urgent!
    7·2 answers
  • A geological study indicates that an exploratory oil well drilled in a certain region should strike oil with probability 0.1. As
    5·1 answer
  • What is the width of a rectangle with an area of 5/8 and a length of 10 inches ?
    5·1 answer
  • A survey of 20 Middleton residents was done to determine the number of people in each household. The numerical frequencies are s
    7·1 answer
  • Find the smallest number by which 240 must be multiplied so that the product is a perfect square. *
    15·1 answer
  • What is a greatest common multiple
    15·1 answer
  • A fireman has 12 ft. ladder and a 16 ft ladder. He leans the 12 ft ladder against a house at an angle of 57 degrees. He leans th
    11·1 answer
  • Find all excluded values for the expression.
    8·1 answer
  • Which of the following are possible discriminants for a quadratic function that crosses the x-axis twice? Check all that apply.
    6·1 answer
  • HELP ASAP
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!