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TiliK225 [7]
3 years ago
6

A ladder is leaning against a building. The

Mathematics
1 answer:
arlik [135]3 years ago
3 0

Answer:α

=

71

°

:

explain:

From trigonometry we have:

cos

α

=

7

21

7

=

21

cos

(

α

)

and:

α

=

a

r

c

cos

(

7

21

)

=

70.5

≈

71

∘

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Solve the given equation
AlexFokin [52]
Eliminate the fractions by multiplying by least common multiple.
4,9,12 all go into 36 evenly. Multiply entire equation by 36.

36/4 = 9
36/9 = 4
36/12 = 3

New equation looks like:
9(w-1) +4(w+1) = -3(w+1) \\  \\ 9w -9 +4w +4 = -3w -3  \\  \\ 9w +4w+3w = -3 +9 -4 \\  \\ 16w = 2 \\  \\ w = \frac{2}{16} = \frac{1}{8}
4 0
3 years ago
answer to #10 and #13. can’t figure out how to use interval notation to write domain and range for graphs.
Lyrx [107]
Interval notation is used to write a set of real numbers from one value to another value.
On the left, you start with left parenthesis or left bracket.
Then you follow by two numbers separated by a comma.
You then finish with a right parenthesis or right bracket.
To include a number, use a square bracket.
To exclude a number use parenthesis.
To write the set of numbers, you need to list the smallest number in the set followed by the largest number in the set. An interval is always stated with two numbers, from the smallest in the set to the largest in the set. The numbers are always separated by a comma.

Examples:

1) All numbers from 6 to 10, including 6 and 10.
Algebra: 6 <= x <= 10
Interval: [6, 10]
Notice brackets since both 6 and 10 are included in this interval.

2) All number from 5 to 20, including 5 but not including 20.
Algebra 5 <= x < 20
Interval: [5, 20)
Bracket with 5 means include 5. Parenthesis with 20 means 20 is not included.

3) All numbers greater than or equal to 7.
Algebra: x >= 7
Interval: [7, ∞)
The 7 has a bracket because it is included. Infinity always has parenthesis.
With the infinity symbol, always use parenthesis, not square bracket.

4) All numbers less than -5.
Algebra: x < - 5
Interval: (-∞, 5)

Now for your problems.

10.
This is a line. Both the domain and range all all real numbers.
That means the interval is from negative infinity to positive infinity.
(-∞, ∞)
Both the domain and range are that same interval, all real numbers, from negative infinity to positive infinity.

13.
The domain is all real numbers as you can see the x-coordinates extend left forever and right forever. The domain is the same interval as the domain and range of problem 10.

The range is zero and all positive numbers.
You can think of it a all values of y such that y is greater than or equal to zero. Notice that zero is included in the interval.

[0, ∞)

Since zero is included, we use a left bracket, not left parenthesis.
With infinity, we alyways use parentheses, not brackets.
8 0
3 years ago
Find the length of the segment with endpoints of (3, 2) and (-3, -6).
nevsk [136]

The distance between (3, 2) and (-3, -6) is 10 units

The correct answer is B) 10

Further explanation:

Given points are:

(x1,y1) = (3,2)

(x2,y2)=(-3,-6)

The distance formula is given by:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Putting the values

d=\sqrt{(-3-3)^2+(-6-2)^2}\\=\sqrt{(-6)^2+(-8)^2} \\=\sqrt{36+64}\\ =\sqrt{100}\\d=10

The distance between (3, 2) and (-3, -6) is 10 units

Keywords: Magnitude, Distance

Learn more about magnitude at:

  • brainly.com/question/12876715
  • brainly.com/question/12933539

#LearnwithBrainly

8 0
3 years ago
Factor completely 5x2 − 40. 5(x 8)(x − 8) 5(x2 − 8) 5(x 8)(x − 5) prime
yuradex [85]
5x^2 - 40 = 5(x^2 - 8)

4 0
3 years ago
Read 2 more answers
What is the length of the mid-segment DE?
astraxan [27]

Answer:

The midsegment is one-half the length of the base

5 0
3 years ago
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