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
mina [271]
3 years ago
15

A cable is attached to the top of an 80' pole and to a stake in ground 35' from the base of the pole. What angle will the cable

and the ground form?

Mathematics
1 answer:
Finger [1]3 years ago
4 0

Answer:

66.37 degrees.

Step-by-step explanation:

If the angle is x then

tan x = opposite / adjacent side = 80/35.

x = arctan (80/35)

= 66.37 degrees.

You might be interested in
A class of 340 students went on a field trip.
ipn [44]

Answer: 2 cars and 6 buses.

Step-by-step explanation:

x + y = 8

5x + 55y =

5 times 2 = 10

plus

55 times 6 = 330

Add 330 plus 10 = 340!

5 0
3 years ago
Plz help ASAP !!!!!!!!!!<br> WILL MARK BRAINLIEST <br><br> Thank u!
Andreas93 [3]

Answer:

(4,8) (8,0) (-4,4)

Step-by-step explanation:

2(2,4)

(4,8)

2(4,0)

(8,0)

2(-2,2)

(-4,4)

Plot the points

6 0
3 years ago
Calculus graph please help
tresset_1 [31]

Answer:

See Below.

Step-by-step explanation:

We are given the graph of <em>y</em> = f'(x) and we want to determine the characteristics of f(x).

Part A)

<em>f</em> is increasing whenever <em>f'</em> is positive and decreasing whenever <em>f'</em> is negative.

Hence, <em>f</em> is increasing for the interval:

(-\infty, -2) \cup (-1, 1)\cup (3, \infty)

And <em>f</em> is decreasing for the interval:

\displaystyle (-2, -1) \cup (1, 3)

Part B)

<em>f</em> has a relative maximum at <em>x</em> = <em>c</em> if <em>f'</em> turns from positive to negative at <em>c</em> and a relative minimum if <em>f'</em> turns from negative to positive to negative at <em>c</em>.

<em>f'</em> turns from positive to negative at <em>x</em> = -2 and <em>x</em> = 1.

And <em>f'</em> turns from negative to positive at <em>x</em> = -1 and <em>x</em> = 3.

Hence, <em>f</em> has relative maximums at <em>x</em> = -2 and <em>x</em> = 1, and relative minimums at <em>x</em> = -1 and <em>x</em> = 3.

Part C)

<em>f</em> is concave up whenever <em>f''</em> is positive and concave down whenever <em>f''</em> is negative.

In other words, <em>f</em> is concave up whenever <em>f'</em> is increasing and concave down whenever <em>f'</em> is decreasing.

Hence, <em>f</em> is concave up for the interval (rounded to the nearest tenths):

\displaystyle (-1.5 , 0) \cup (2.2, \infty)

And concave down for the interval:

\displaystyle (-\infty, -1.5) \cup (0, 2.2)

Part D)

Points of inflections are where the concavity changes: that is, <em>f''</em> changes from either positive to negative or negative to positive.

In other words, <em>f </em>has an inflection point wherever <em>f'</em> has an extremum point.

<em>f'</em> has extrema at (approximately) <em>x</em> = -1.5, 0, and 2.2.

Hence, <em>f</em> has inflection points at <em>x</em> = -1.5, 0, and 2.2.

7 0
2 years ago
A length of rope is stretch between the top edge of the building at stake in the ground the head of the state is at ground level
amid [387]

Because the tree is the halfway point, the building would be twice as tall:

The building is 38 x 2 = 76 feet tall.

3 0
3 years ago
Read 2 more answers
Find the value of x at which the function has a possible relative maximum or minimum point.​ (Recall that e Superscript x is pos
shutvik [7]

Answer:

x= -11/4 is a maximum.

Step-by-step explanation:

Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that

f'(x)=  -e^{-4x}(11+4x)

And then we get that   if   11+4x = 0   then   x = -11/4 . So it has a critical point at   x = -11/4.

Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.

Since

f''(x) = 8e^{-4x} (5+2x)\\f''(-11/4) = -239496.56

x= -11/4 is a maximum.

6 0
3 years ago
Other questions:
  • Enter the equation of the following using line in slope-intercept form.
    8·1 answer
  • How many 8 go into 75
    12·2 answers
  • Water is coming out of a fountain is modeled by the function f(x)=-x^2+8x+2 where f(x) represents the height in feet of the wate
    6·1 answer
  • I need help on this please
    6·1 answer
  • Which two points should the trend line go through to best represent the data given in this scatterplot? (30, 69) and (71, 78) (3
    6·2 answers
  • Asa spent $165.20 on 5 video games. If the video games each cost the same amount, how much did one video game cost?
    5·1 answer
  • A student solved z + (-0.72) = -2.5 for z using the following steps.
    11·2 answers
  • Help please what is this?
    12·1 answer
  • What is (672)x(755)-5​
    8·2 answers
  • 7. Tyrone is thinking of a number. In his number:
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!