Problem: A pole is being held up with a 10 meter rope. The cable is making a 42° of elevation from the ground to
the top of the pole. What is the distance from the base of the pole to the base of the rope ? Round your answer
to the nearest tenth of a meter.
Answers
Answer:
x = 7.4
Step-by-step explanation:
cos(42°) = x/10 or distance from bases / rope length
Using the calculator find the value of cos(42°):
cos(42°) = 0.74 = x/10
Find x using the value of cos(42°):
x/10 = 0.74
x = 7.4
Related Questions
Is the order of operations important why ?
Answers
Answer:
The order of operations IS crucial because it will assist us in performing equations.
Step-by-step explanation:
j’ai besoin d’aide pour cet exercice
Answers
Answer:
Step-by-step explanation:
A(x) = 4x³ - 4x²- 23x + 20
B(x) = 2x² + 3x - 4
C(x) = 2x - 5
a). A(x) + B(x) + C(x) = (4x³ - 4x²- 23x + 20) + (2x² + 3x - 4) + (2x - 5)
= 4x³ + (-4x² + 2x²) + (-23x + 3x + 2x) + (20 - 4 - 5)
= 4x³- 2x²- 18x + 11
b). A(x) - 2B(x) + 2C(x) = (4x³ - 4x²- 23x + 20) - 3(2x² + 3x - 4) + 2(2x - 5)
= 4x³ - 4x² - 23x + 20 - 6x² - 9x + 12 + 4x - 10
= 4x³ - 10x²- 28x + 22
c). A(x) . B(x) = (4x³ - 4x² - 23x + 20)(2x² + 3x - 4)
= 2x²(4x³ - 4x² - 23x + 20) + 3x(4x³ - 4x² - 23x + 20) - 4(4x³ - 4x² - 23x + 20)
= 8x⁵ - 8x⁴- 46x³ + 40x² + 12x⁴- 12x³ - 69x² + 60x - 16x³+ 16x²+ 92x - 80
= 8x⁵+ 4x⁴- 74x³- 13x²+ 152x - 80
d). [B(x)]² = (2x² + 3x - 4)²
= 2x²(2x² + 3x - 4) + 3x(2x² + 3x - 4) - 4(2x² + 3x - 4)
= 4x⁴ + 6x³ - 8x² + 6x³ + 9x² - 12x - 8x² - 12x + 16
= 4x⁴ + 12x³- 7x²- 24x + 16
Consider the function that assigns to each positive number x the value
Do you think this function is linear or nonlinear?
Develop a list of inputs and outputs for this function. Organize your work using the table below. Then, answer the questions that follow.
Input (x)
Output (y)
0.1
1/10 .
0.2
1/5
0.4
2/5
0.5
1/2
0.8
4/5
1
0
1.6
8/5
2
0
2.5
5/2
4
0
5
0
Plot the inputs and outputs as ordered pairs defining points on the coordinate plane.- You will do this on the peardeck or a piece of paper.
What shape does the graph of the points appear to take?
Find the rate of change using rows 1 and 2 from the table above.
Find the rate of change using rows 2 and 3 from the table above.
Find the rate of change using any two other rows from the table above.
Return to your initial claim about the function. Is it linear or nonlinear? Justify your answer with as many pieces of evidence as possible.
Answers
Answer:
The Answer should be: 40 49 60 8 54
\
95 82 40 18 39
94 72 23 70 39
24 55 6 48 40
16 100 67 93 83
2 59 97 66 28
51 81 81 6 1
29 59 34 15 65
100 94 100 70 64
87 33 20 79 76
47 56 83 58 1
36 14 71 87 26
13 4 67 26 76
85 44 55 99 64
89 50 13 10 29
62 76 82 51 71
69 13 76 3 46
71 5 51 81 15
53 94 47 55 61
6 23 97 99 46
3 87 45 49 72
87 14 32 29 22
84 60 17 4 95
100 51 39 77 87
31 97 11 80 94
78 61 38 79 35
87 67 11 21 70
82 43 19 74 42
58 90 24 8 3
61 3 63 84 1
15 67 79 31 83
28 27 93 46 39
76 7 57 82 97
35 38 73 6 88
24 95 20 90 73
17 49 4 63 63
100 3 23 52 80
17 61 39 68 63
67 27 16 81 84
81 37 43 82 34
97 54 8 32 78
99 77 20 71 17
21 42 52 48 8
46 75 71 55 74
11 48 80 39 30
76 50 52 89 100
19 10 57 21 79
58 53 99 99 11
24 59 72 16 52
91 84 36 21 22
72 44 52 56 29
96 78 57 91 47
72 42 35 79 99
44 51 76 93 16
16 36 63 82 63
42 36 82 86 30
63 42 78 75 50
65 2 50 21 32
10 23 26 96 96
61 13 16 37 58
3 30 99 93 1
54 43 8 94 13
62 54 76 14 40
12 22 68 57 24
83 16 36 2 66
49 68 65 88 2
19 36 17 89 59
51 68 100 39 75
67 27 50 87 100
12 87 65 2 1
47 61 50 36 29
64 37 68 3 99
20 83 98 91 77
53 35 37 78 89
87 79 73 20 49
19 36 23 58 29
76 4 18 44 61
65 25 84 11 3
99 97 74 92 97
9 47 73 47 8
35 96 15 65 16
93 5 48 53 28
59 23 7 47 50
20 73 26 86 92
21 10 99 91 32
32 35 63 47 25
3 87 75 9 5
4 75 15 79 43
62 33 6 23 70
81 37 96 93 33
49 72 20 47 61
30 51 67 77 16
51 11 66 68 36
49 45 29 10 98
92 39 36 89 57
74 70 77 13 94
78 1 80 33 85
34 82 27 1 97
59 99 72 82 20
73 67 35 69 68
61 83 15 77 72
31 90 77 9 71
96 96 30 75 87
40 97 78 26 16
41 5 4 57 82
50 94 11 1 94
2 72 71 6 77
89 12 22 68 82
2 35 88 11 43
54 46 9 30 95
7 90 63 13 70
10 15 49 97 73
12 7 86 24 69
91 99 40 51 18
2 79 91 19 97
99 9 66 86 92
70 34 77 31 95
89 25 68 70 57
65 36 4 24 95
36 48 92 44 62
69 84 41 52 92
84 20 66 23 73
16 85 44 17 2
9 90 58 28 90
53 41 42 15 37
18 87 53 21 57
55 25 24 5 57
93 24 17 37 63
8 92 68 68 20
100 69 45 73 11
100 79 27 99 36
44 38 10 100 27
35 32 10 28 70
53 67 81 26 97
9 42 22 1 91
61 70 80 16 38
87 91 49 1 12
57 1 22 12 24
71 88 72 42 23
67 41 20 89 14
24 1 40 41 78
86 77 23 57 96
65 90 27 1 5
59 61 39 34 28
47 83 80 84 44
29 79 94 52 86
32 39 49 100 74
31 87 65 59 47
41 53 99 79 50
83 32 70 69 27
73 69 56 20 99
26 96 14 49 66
42 94 78 88 43
38 93 62 70 97
6 84 59 86 17
20 3 100 52 71
96 71 52 65 30
39 60 100 100 10
82 52 88 39 98
82 28 91 71 33
15 32 7 100 51
40 15 51 42 70
59 54 26 47 74
98 26 42 18 96
40 76 89 79 94
61 70 21 95 18
37 25 99 91 30
86 22 87 18 53
76 57 41 71 52
10 54 35 36 36
53 14 95 5 45
49 98 16 40 8
81 67 54 82 76
83 83 94 37 76
86 23 57 42 79
63 35 88 75 100
26 70 35 35 14
64 24 98 76 46
86 65 59 76 49
70 96 65 57 30
80 1 54 19 93
28 44 11 63 24
61 27 76 6 62
44 22 24 69 58
21 92 44 100 68
82 78 74 4 100
3 52 94 18 91
32 9 95 94 40
67 57 62 46 36
91 24 22 70 17
71 74 66 2 48
86 41 52 66 54
33 99 23 40 81
65 32 16 54 48
18 79 67 4 42
9 47 13 27 59
57 80 24 51 32
86 1 95 17 83
47 38 3 27 26
21 50 99 14 66
40 74 98 16 92
9 15 21 33 87
35 91 50 7 26
22 56 27 77 92
14 81 54 40 63
84 15 48 72 75
70 50 37 48 66
34 12 17 98 51
47 2 33 39 86
10 87 57 6 95
25 74 70 44 57
91 10 34 21 99
21 81 61 87 88
19 38 73 50 11
97 63 83 28 74
7 91 44 32 56
53 98 100 51 70
86 79 18 22 45
46 28 59 76 23
21 57 67 24 16
30 22 12 65 23
51 12 62 39 97
60 49 31 68 21
84 24 66 5 24
64 63 57 12 1
58 79 1 5 62
52 15 69 26 40
17 43 32 73 79
79 25 41 98 46
50 14 91 5 93
23 65 55 85 80
71 62 14 79 53
30 5 88 30 18
2 45 41 45 99
89 13 35 96 12
58 1 71 25 38
73 53 89 63 69
67 93 72 1 17
12 96 12 86 75
1 17 77 92 5
40 78 15 82 5
75 5 34 39 71
80 4 80 13 55
69 44 61 57 45
52 5 49 27 74
76 95 68 93 45
30 75 52 1 51
43 11 43 65 69
3 3 12 4 83
96 58 45 31 89
71 28 49 89 41
31 13 45 86 89
85 61 5 72 60
20 14 19 36 6
29 64 41 40 74
66 16 7 42 15
20 42 72 66 63
97 90 33 47 84
97 81 5 33 58
72 23 25 84 1
17 60 34 51 43
3 29 96 90 37
39 28 43 17 52
99 23 85 93 27
9 10 90 19 30
2 77 6 88 17
45 85 59 60 64
32 11 70 52 2
100 33 22 12 62
42 93 37 5 55
54 70 49 81 4
40 29 45 13 84
83 63 30 46 23
34 19 44 35 8
90 71 19 100 9
28 87 52 6 11
26 14 23 3 13
57 89 82 12 56
69 63 22 3 8
40 38 2 5 4
64 66 52 8 4
62 71 41 39 58
42 76 98 65 33
92 16 48 29 44
8 96 98 74 57
22 12 15 46 10
50 34 75 2 8
40 22 100 21 16
22 60 38 94 81
32 42 65 45 93
23 93 85 64 6
36 12 94 4 79
97 9 96 26 35
12 19 56 4 67
15 47 72 78 74
30 78 100 83 69
24 50 39 87 93
47 11 4 32 15
35 26 9 14 60
11 56 88 84 47
3 28 47 40 67
3 2 94 16 68
28 76 21 86 97
23 85 8 68 49
63 67 82 66 36
20 21 56 91 6
61 24 92 47 89
32 5 83 37 46
70 56 69 41 14
68 52 84 19 9
19 96 54 46 5
23 26 49 79 31
98 48 7 88 56
78 72 82 62 47
3 35 60 95 28
17 34 63 32 81
57 58 88 23 72
25 85 46 36 35
46 26 73 91 63
Please helppppppppppppppppppppppp
Answers
Answer:
MP = 11
Step-by-step explanation:
By the Secants and Segments Theorem:
QR x QS = QM x QP
then:
(x + 4) x 4 = (x -5 + 5) x 5
4x + 16 = 5x
x = 16
MP = (x-5) = 16-5 = 11
Solve each proportion
Answers
14. x= 27
15. x= 191/7 or 27 and 2/7
16. x= 83/15 or 5 8/15
the key to solving these is cross-multiplying and finding a common denominator, you can use photomath if you want to see the solving steps, hope this helps!
What is the area of the figure? O 1240 units? 0 1250 units? o 2490 units? 0 3730 units
Answers
Answer:
2490
Step-by-step explanation:
The 2 shapes are triangle and trapezoid
Area of a triangle formula: A= h×b/2
A=40×62/2
A=1240
Area of a trapezoid formula: base¹+base²/2×height
A= 38+62/2×25
A=1250
Add both areas together
1250+1240=2490
The amount of p paint needed to paint the walls of a Grade 7 classroom in San Jose
National High School varies directly as the area A of the wall. If 3 gallons of paint can
paint a 63 m2 wall, how many gallons of paint are needed to paint a wall with an area of
136 m2?
Answers
Answer:
6.4 gallons
Step-by-step explanation:
1 gallon can cover 21 m2 and 21 divided by 136 is 6.4 g
Help me I will really appreciate it thx
Answers
Mark runs 6 kilometers in 22 minutes. How many minutes will it take him to complete a 39-
kilometer run?
please help
Answers
Answer:
20 minutes....
.... plz mark
Graph h(x) = (x - 2)(x - 4)
Answers
Answer: 8
Step-by-step explanation:
h gfdsedrgfh bjbgvfdxesdrftvgbhnbgvfdcsxazsxdcfvgbhfvdcsx
20 POINTS
Translations
7
Acellus
Find the image of the given point
under the given translation.
Help Resources
P(3,-5) T(x, y) = (x +4, y-3)
P' = ([?], []).
Enter the number that belongs in
the green box.
Enter
Answers
Answer:
The number that belongs in the green P' = ([?], [ ]) with P' = (7, -8) box is;
7
Step-by-step explanation:
The coordinate of the given point 'P' is P = (3, -5)
The preimage of (x, y) after the translation, [tex]T_{(x, \ y)}[/tex] = (x-coordinate + 4, y-coordinate - 3)
Therefore, the translation, [tex]T_{(x, \ y)}[/tex] = T₍₄, ₋₃₎
Therefore, we have;
Preimage P(3, -5) under the translation T₍₄, ₋₃₎ gives the image P' as follows
P(3, -5) [tex]\overset{T_{\left ( 4, \, -3 \right )}}{\rightarrow}[/tex]P'(3 + 4, -5 - 3) = P'(7, -8)
Therefore, the number that belongs in the green box is the x-coordinate value of the point P'(7, -8) which is seven.
Which problem can be solved using the equation 9x + 14 = 100
Answers
Answer:
rounded form: x = 9.56
Step-by-step explanation:
9x + 14 =100
you would 1st subtract 14 from 100 so you're left with
9x = 86
now to get x alone, you divide both sides by 9 so now you have
x = 9.56
Amaia walks from her home to the bank, then to the park, and then to get groceries before heading home. The path she travels is in the shape of a parallelogram and is shown in the diagram below. How many total meters did Amaia walk?
Answers
Answer:
Amaia walked 28 meters
Step-by-step explanation:
So first we know that the side x+3 is equal to the side 3x+1
subtract 1 and x from both sides to get x=1
then we plug in the 1 to the equation x+9 and we know that side equals 10, meaning the parallel side is also 10.
plug in 1 to one of the original equations to get 4
4+4+10+10=28
Solve the inequality and enter your solution as an inequality comparing the variable to a number
X + 24 > 67
Answers
Answer:
X>43
Step-by-step explanation:
X+24-24>67-24
x>43
x + 24 - 24 > 67 - 24 (Subtract both sides by 24)
x > 43
Hope this helps!
PLEASE HELP ME!!
A) Supplementary
B) alternate interior
C) Complementary
D) Vertical
Answers
Answer:
Complementary
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees, and since there is a 90 degree sign on the angles this is complementary.
On a coordinate grid, the coordinates of vertices P and Q for polygon RQRS are P(1, 2) and Q(-1, 2)
Answers
Distance formula:
Using distance formula we get
The length of side PQ of the polygon is 5 units.
I think this is what you were asking..?
PLS HELP ASAP WILL GIVE BRAINLIEST
Look at the figure below:
If sin y° = 9/c and tan y° = 9/d, what is the value of cos y°?
Answers
Answer:
d/cStep-by-step explanation:
Given:
sin y° = 9/c and tan y° = 9/dWe know that
tan α = sin α /cos α ⇒ cos α = sin α / tan αSolving for cos y°, by substituting values:
cos y° = sin y° / tan y° cos y° = 9/c ÷ 9/d = 9/c × d/9 = d/cAnswer:
the answer to your question is d/c
i can't figure it out someone help pls
Answers
Answer:
I think it's 50 i don't know though
Use proper probability notation. Identify function and label inputs when using technology.
1. Honda cars make up 18% of registered vehicles in Florida. You take a SRS of 500 car owners in Florida. What is the chance
your sample contains 20% or more of Honda owners? Use the 4-step plan.
Answers
Answer:
0.1349
Step-by-step explanation:
Given that:
Sample size, n = 500
20% of 500 ; 0.2 * 500 = 100
p = 0.18 ; n = 500 ; 1 - p = 0.82
P(x ≥ 100) ;
Using the binomial probability relation :
P(x =x) = nCx * p(x)^x * (1 - p)^(n - x
P(x ≥ 100) = 500C100 * 0.18^100 * 0.82^400
P(x ≥ 100) = 0.1349
Write each power as a product of the same factor. Then find the value. 7^2
Answers
Answer:
49
Step-by-step explanation:
7^2=49
The diagram shows the intersections of several straight roads. The avenues run parallel to each other.
Amana walks along Oak from point A to B. To the nearest foot, how far does she walk?
75 ft
226 ft
307 ft
347 ft
Answers
Answer:
The answer is B: 226 ft
Step-by-step explanation:
Just did the assignment on edg
Please answer correctly
Answers
Answer:
I THINK this is a trick question
(x, y), (7, 9 )
7 <= 5
Most likely NO
Step-by-step explanation:
Find the value of from the following right triangle.
plzzz help i will mark you as brainliest
Answers
Answer:
12
Step-by-step explanation:
by Pythagoras theorem,
P²+B² =H²
5²+B²=13²
B²= 13²-5²
B²= 169-25
B²= 144
B=√144
B= 12
A compound event in which the outcome of one event is affected by the outcome of another event is considered _________ events.
Question 1 options:
A. dependent
B. independent
Answers
Answer:
if i didnt get anything mixed up it would be A. dependent
Step-by-step explanation:
When the outcome affects the second outcome, which is what we called dependent events. Dependent events: Two events are dependent when the outcome of the first event influences the outcome of the second event.
Park Jimin paid $125 to have his hair colored and cut. If he tips his hairdresser 15% of his bill, how much was the tip?
Answers
Money paid by Park Jimin = $125
We need to find the tip , so,
→ 15% of the amount paid
→ $ 125 (15/100)
→ $ 18.75
Hence, the tip is of $ 18.75
Answer:
Jiminie paid 18.75
Step-by-step explanation:
can someone help me ? Finding angle measures using triangles (veiw image)
Answers
Answer:
x=52°
Step-by-step explanation:
Corresponding angles, 62° is parallel to I
so the letter I would be 62°.
In a triangle there's 180 degrees
so 180-62=118°-66=52°
that way all the angles in the triangle will add up to 180
finding missing measure
Answers
Answer:
Step-by-step explanation:
∠X = 180 - ∠Y = 34°
∠W = ∠X = 34°
∠Z = ∠146°
Please help me on this and explain it.
Answers
Answer:
no solutions
Step-by-step explanation:
if u divide the second equation by -2 u get
-4x+5y= 7.5
and -4x+5y can’t equal 7 and 7.5
27/40 simplified in fraction form
Answers
Answer: 27/40
Step-by-step explanation:
27/40 is already simplified.
The simplified fraction form of 27/40 is 27/40.
To simplify the fraction 27/40, we can find the greatest common divisor (GCD) of the numerator (27) and the denominator (40) and divide both by that value.
The GCD of 27 and 40 is 1, which means they have no common factors other than 1.
Since there is no common factor other than 1, the fraction 27/40 is already in its simplest form.
Therefore, the simplified fraction form of 27/40 is 27/40.
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ6
Put together, Dulcina and Tremaine have 129 total matchbooks. Tremaine's collection has 39 fewer matchbooks in it than Dulcina's collection. How many matchbooks are in Tremaine's collection? How many matchbooks are in Dulcina's collection?
Answers
Answer:
Let the Dulcina's collection be 'x'
Let the Tremaine collection be 'x-39'
x + x - 39 =129
2x = 129 +39
2x = 168
x = 168/2
x = 84
Dulcina's collection = x = 84
Tremaine's collection = x - 39 = 84 - 39 = 45
