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
pochemuha
3 years ago
12

A company is replacing cables with fiber optic lines in rectangular casing BCDE. If line segment DE = 3 cm and line segment BE =

3 cm, what is the smallest diameter of pipe that will fit the fiber optic line? Round your answer to the nearest hundredth.
3.54 cm

3.91 cm

4.24 cm

4.95 cm

Mathematics
2 answers:
koban [17]3 years ago
5 0

Answer:

The smaller diameter is 4.24\ cm

Step-by-step explanation:

we know that

The diameter of the circle is equal to BD

Applying the Pythagoras Theorem

BD^{2} =BE^{2} +DE^{2}

substitute the given values

BD^{2} =3^{2} +3^{2}

BD^{2} =18

BD=4.24\ cm

shusha [124]3 years ago
3 0

Answer:

The correct option is C.

Step-by-step explanation:

Given information: BCDE is a rectangular casing, DE = 3 cm and BE = 3 cm.

We need to find the smallest diameter of pipe that will fit the fiber optic line. It means we have to find the measure of DB.

The measure of all interior angles of a rectangle or square is 90°.

\angle DEB=90^{\circ}

It means the DEB is right angled triangle.

According to the Pythagoras theorem:

hypotenuse^2=leg_1^2+leg_2^2

In triangle DEB,

(DB)^2=(DE)^2+(BE)^2

(DB)^2=(3)^2+(3)^2

(DB)^2=9+9

(DB)^2=18

Taking square root both sides.

DB=\sqrt{18}

DB=4.24264068712

DB\approx 4.24

Therefore the correct option is C.

You might be interested in
48 = 3/2y <br> simplify your answer as much as possible
Sloan [31]
48 = 1\frac{1}{2}y \\48(\frac{2}{3}) = 1\frac{1}{2}y(\frac{2}{3}) \\32 = y
4 0
3 years ago
1. -2x(x+3)-(x+1)(x-2) =
Simora [160]

Answer:

-3x^2 -7x + 2

Step-by-step explanation:

Given

-2x(x + 3) - (x+1)(x - 2)

Required

Solve

Open brackets

-2x^2 -6x - (x^2-2x + x - 2)

-2x^2 -6x - x^2-2x + x + 2

Collect like terms

- x^2-2x^2 -6x -2x + x + 2

-3x^2 -7x + 2

5 0
3 years ago
8^1/3 or how to do it with any fractions
ahrayia [7]

Answer:

2

Step-by-step explanation:

When given a fractional power, you want to try to see if the base has any power that can be used to simplify the power.

Since a^b/c =

\sqrt[b]{ {a}^{c} }

8^1/3=

\sqrt[3]{ {8}^{1} }

8 times by it self it 8

cube root of 8 is three numbers that are the same and times by each other to give 8

2×2×2=8

》2

8 0
3 years ago
Fico is a credit score. true false user: collin has a credit card bill of $3,000. he makes only the minimum payment and is alway
Alenkasestr [34]
Fico is a credit score - true
Collin is not using credit responsibly.

I don't think my answer is correct but I hope it helped you :)
6 0
3 years ago
Read 2 more answers
19 points Solve for c. 5/4c+12=2
VashaNatasha [74]

Answer:

C= -8

Step-by-step explanation:

I used a calculator

8 0
3 years ago
Read 2 more answers
Other questions:
  • The expression 20l + 25g - 10 gives the number of dollars that Josie makes from mowing lawns and raking gardens.
    10·1 answer
  • To subtract a fraction or a mixed number from a whole number, you’ll first need to convert the whole number to which of the foll
    10·2 answers
  • I need help with cubic squares and how I add them
    5·1 answer
  • I’m confused on if I have to multiple decimals or not.
    15·1 answer
  • What is the slope of the line?
    13·2 answers
  • MATH, HELP ASAP
    7·2 answers
  • Two numbers are in the ratio of 2 to 3.
    5·1 answer
  • From a train station, one train heads north, and another heads east. Some time later, the northbound train has traveled 27 kilom
    5·1 answer
  • Rectangle ABCD has vertex coordinates A(1, -2), B(4,-2),
    11·1 answer
  • A trucker handed in a ticket at a toll booth showing that in 2 hours she had covered 159 on a toll road with a posted speed limi
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!