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
Harrizon [31]
4 years ago
11

A carpenter must pick up a wooden beam from the Home Depot. The wooden beam is 12 feet long. The bed of his truck is 5.5 ft by 8

ft by 2 ft. If he puts the beam in the bed diagonally, how much will the beam stick out the back of the truck
Mathematics
1 answer:
rosijanka [135]4 years ago
4 0

Answer:

Beam stick out = 2.09 ft

Step-by-step explanation:

Given:

Length of wooden beam = 12 ft

Side of bed =  5.5 ft by 8 ft by 2 ft

Find:

Length of wooden beam needed.

Computation:

Length\ of \ diagonal = \sqrt{a^2+ b^+ c^} \\\\\\ Length\ of\ diagonal =  \sqrt{5.5^2+ 8^2+ 2^2}\\\\ Length\ of\ diagonal =  \sqrt{30.25+64+4}\\\\Length\ of\ diagonal =  \sqrt{98.25}\\\\Length\ of\ diagonal =  \sqrt{30.25+64+4}\\\\Length\ of\ diagonal = 9.91

Length of wooden beam needed = 9.91 ft

Beam stick out = 12 ft - 9.91 ft

Beam stick out = 2.09 ft

You might be interested in
It cost 5 dollars for a child ticket and 8 dollars for a adult ticket. Total tickets sold were 110 bringing in 820 dollars? How
omeli [17]

Number of child tickets bought is 20

<h3><u>Solution:</u></h3>

Given that It cost 5 dollars for a child ticket and 8 dollars for a adult ticket

cost of each child ticket = 5 dollars

cost of each adult ticket = 8 dollars

Let "c" be the number of child tickets bought

Let "a" be the number of adult tickets bought

Total tickets sold were 110 bringing in 820 dollars

<em>Number of child tickets bought + number of adult tickets bought = 110</em>

c + a = 110 ----- eqn 1

<em><u>Also we can frame a equation as:</u></em>

Number of child tickets bought x cost of each child ticket + number of adult tickets bought x cost of each adult ticket = 820

c \times 5 + a \times 8 = 820

5c + 8a = 820 -------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "c" and "a"

From eqn 1,

a = 110 - c  ------ eqn 3

Substitute eqn 3 in eqn 2

5c + 8(110 - c) = 820

5c + 880 - 8c = 820

-3c = - 60

c = 20

Therefore from eqn 3,

a = 110 - 20 = 90

a = 90

Therefore number of child tickets bought is 20

8 0
4 years ago
15 points+brainliest!! please help asap, this is due tonight please!!
Masteriza [31]

Answer:

x=\sqrt{13}

Step-by-step explanation:

Base of the isosceles triangle = 4

Perpendicular of the triangle = 3

In an isosceles triangle , a perpendicular bisects a base equally. So, here the isosceles triangle consist of 2 right angled triangles.

In that right angled triangles,

Base = 4/2 = 2 (∵ A perpendicular divides a base into 2 equal parts. )

Perpendicular = 3

Hypotenuse = x

So , according to Pythagorean Theorem ,

Hypotenuse = \sqrt{Base^2 + Perpendicular^2}

Using all the values above into the formula gives :-

x =\sqrt{2^2 + 3^2} = \sqrt{4+9} =\sqrt{13}

3 0
4 years ago
Principal $400 Rate 5% time 1 year
zheka24 [161]

Answer:400 multiplied by 5 percent then later multiplied by one, Answer: 20$

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Which of the following has 6.053 in written form?
erastovalidia [21]

Answer:

c correct

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
X/6 + 4 = 15 what does x equal? What is x?
Umnica [9.8K]
Hello there! x = 66.

x/6 + 4 = 15

This means that since 15 - 4 = 11, x/6 = 11.

Given the two numbers and a variable, we can multiply:

6 x 11 = 66

66/6 = 11

Therefore, x = 66

Hope this helps!
4 0
1 year ago
Read 2 more answers
Other questions:
  • What is 30000 divided by 40
    12·2 answers
  • F(x) = 3x2 – 2x + 4 and g(x) = 5x2 + 6x – 8, find (f – g)(x)
    6·1 answer
  • A principal of $3100 is invested at 5.5% interest, compounded annually. How much will the investment be worth after 7 years?
    8·1 answer
  • Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -4).
    11·1 answer
  • Find the distance between (-8, -1) and (0, 5). Give your answer in simplest radical form.
    12·1 answer
  • Find the volume of the following cylinder in CENTIMETRES CUBED.
    14·1 answer
  • MUST SHOW WORK. <br> please do this ASAP!<br> This is about numerical expressions!
    7·2 answers
  • PL HELP ME GIVING 100
    11·2 answers
  • A.
    15·1 answer
  • What does it mean to determine the two positive integers that each value is between??? I'm confused ​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!