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diamong [38]
3 years ago
15

A cable runs from the top of a pole to a spot on the ground 10 feet from the base of the pole. The pole makes a right angle with

the ground. If the cable is 20 feet long, what is the angle the cable makes with the ground? Enter your answer in degrees.
Mathematics
1 answer:
Amanda [17]3 years ago
7 0
Use the cos ratio to figure this out. You have the length of the hypotenuse and the length of the leg on the ground. The hypotenuse is 20 and the leg is 10. The cos ratio says that cosA = side adjacent/hypotenuse. So fill in the blanks here: cosA = 10/20...cosA=1/2. In your calculator, you will enter inverse cos(.5) to find that the angle in question is 60 degrees. To find the inverse function on your calculator, press the "2nd" button and the "cos" then in the (), enter ".5".
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What multiplies to get -2 and adds to get -5​
tatyana61 [14]
You would have to use the quadratic formula because it’s not a perfect square
6 0
3 years ago
Geometry: CC 2015 > Chapter 2: Chapter 2 Test >
tankabanditka [31]

Answer:

The area of ABCF is 2 and 2 × AB = 4

The statement proves that the conjecture is false

Step-by-step explanation:

A conjecture is a proposition or conclusion that is presumed to be true or correct but which is based on incomplete details or information

Given the length of the sides of rectangle ABDE, we have;

Length AB = 2 units

Length DE = 2 units

The area of ABDE = 2 × 2 = 4 unit²

Therefore, the area of the rectangle ABDE is equal to 2 × the length of either AB or DE

However, the are of rectangle ABCF = 2 × 1 = 2 unit²

While the area of rectangle 2 × the length of side AB = 2 × 2 = 4 unit², which is not equal to the number of square units in the area of the rectangle.

Therefore;

The area of ABCF is 2 and 2 × AB = 4

The statement (above) proves that the conjecture is false.

7 0
3 years ago
There are 9 books eack book 3/4 of a pound which is the total weight of the books?
Pavel [41]

Total Weight = Weight of the book + Weight of the CD + Weight of the box

 

Total Weight = 1 1/4 pound + 1/5 pound + 3/10 pound

 

Total Weight = 5/4 + 1/5 + 3/10

 

To add these fractions, you need to put them over a common denominator.  To do that, find the least common multiple of 4, 5, and 10.  Below is a table of the multiples.  The least multiple they have in common is 20, shown in orange.  So use 20 as your least common denominator.

 

          1      2      3      4     5      6     7

4 x      4     8     12    16   20    24   ...

5 x      5    10    15    20   25    30   ...

10 x   10   20   30    40    50    60   ...

 

Can you finish it from here?

3 0
3 years ago
Please help me I’m hella confused
shepuryov [24]

Answer:

m\angle 2=33^\circ

Step-by-step explanation:

<u>Right Triangle</u>

The figure shows a right triangle with angles 2 and 3 unknown.

The sum of the internal angles of all triangles is 180°, since one of them is 90°, then the sum of the rest of the angles is 90°. It means that:

m\angle 2+m\angle 3=90^\circ

The measures of both angles are expressed as functions of x. Substituting their values:

x+8 + 2x + 7 = 90

Simplifying:

3x + 15 = 90

Operating:

3x = 90 - 15 = 75

Solving:

x = 75 / 3 = 25

x = 25°

Now, the measure of angle 2=x+8 = 33°

\boxed{m\angle 2=33^\circ}

7 0
3 years ago
What is the value of f(7)
Lelu [443]

Answer:

7<em><u>f</u></em>

Step-by-step explanation:

You move 7 to the left of <em>f. </em>

This makes the exact value of <em>f</em>(7),  7<em>f</em>.

8 0
3 years ago
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