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
Ostrovityanka [42]
3 years ago
15

a repairman leans the top of a 9ft ladder against the top of a stone wall. the base of the ladder is 5.5ft from the wall. about

how tall is the wall? round to the nearest tenth of a foot.
Mathematics
1 answer:
andrezito [222]3 years ago
8 0

Using the Pythagorean theorem:

a^2 + b^2 = c^2

a and b are the sides and c is the hypotenuse.

The length of the ladder would be the hypotenuse and the base away from the wall would be one side.


So now we have:

5.5^2 + b^2 = 9^2

Simplify:

30.25 + b^2 = 81

Subtract 30.25 from each side:

b^2 = 81 - 30.25

b^2 = 50.75

Take the square root of both sides:

b = √50.75

b = 7.123

Rounded to the nearest tenth of a foot = 7.1 feet.

You might be interested in
Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun
WITCHER [35]

Answer:

Required solution (a) f(x,y,z)=xyz+3z^2+C (b) 40.

Step-by-step explanation:

Given,

F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k

(a) Let,

F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}

Then,

f_x=yz,f_y=xz,f_z=xy+6z

Integrating f_x we get,

f(x,y,z)=xyz+g(y,z)

Differentiate this with respect to y we get,

f_y=xz+g'(y,z)

compairinfg with f_y=xz of the given function we get,

g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)

Then,

f(x,y,z)=xyz+h(z)

Again differentiate with respect to z we get,

f_z=xy+h'(z)=xy+6z

on compairing we get,

h'(z)=6z\implies h(z)=3z^2+C   (By integrating h'(z))  where C is integration constant. Hence,

f(x,y,z)=xyz+3z^2+C

(b) Next, to find the itegration,

\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40

3 0
3 years ago
50 PTS MANY POINTS
kari74 [83]

Answer:

B. 1,900

Step-by-step explanation:

3 0
3 years ago
Which of the following sets of numbers could represent the three sides of a triangle
nirvana33 [79]

Answer:

  d  5,15,19​

Step-by-step explanation:

The sum of the shortest two sides must be longer than the longest side. That is only the case for selection D.

__

If the sum is equal to the longest side, the segment ends will meet, but the "triangle" will look like a line segment. Many authors do not allow such a thing to be called a triangle. Hence, 'b' is not an answer to this question.

(Some authors <em>do</em> allow such a triangle, in which case, there would be two answers here: B and D.)

3 0
3 years ago
Why is the total cost of fuel when a driver averages 8 miles per gallon..The cost of fuel is .83 cents a gallon..The drivers dis
Allushta [10]

Answer:

The total cost of the petrol is 2.075 cents.

Step-by-step explanation:

The cost of per gallon petrol = 0.83

Drive per gallon = 8 miles

Here, total distance traveled = 20 miles.

So, the total petrol used for 20 miles = (20 / 8) gallons

= 2.5 gallons

Now, cost of petrol per gallon = 0.83 cents

So, total cost of petrol = 0.83 x 2.5  = 2.075 cents

Hence, the total cost of the petrol is 2.075 cents.

7 0
3 years ago
Divide by 120000÷600​
Brilliant_brown [7]

Answer:

120000/600

200 is your answer

4 0
3 years ago
Read 2 more answers
Other questions:
  • Need help with problem 26.
    5·1 answer
  • If y=-3x + 2, find x when y= -13 *
    13·1 answer
  • Find the sum of the given vectors and illustrate geometrically. [-2,-1],[5,7]
    11·1 answer
  • The average mail carrier walks 4.8 kilometers in a workday. how far do most mail carrier walk in 6-day week? there are 27 workin
    5·1 answer
  • The surface area of this cube is 6 square centimeters. What is the value of c?
    14·1 answer
  • 50 POINTS !!!!!!! HELP ME ASAP PLZ DO AS MUCH AS YOU CAN
    11·1 answer
  • Help plssss its urgent
    15·1 answer
  • A student organization sells shirts to raise money for events and activities. The
    13·1 answer
  • Help with these please:) trig SOH CAH TOA right angle triangles
    6·1 answer
  • A food truck did a daily survey of customers to find their food preferences. the data is partially entered in the frequency tabl
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!