The given question is on trigonometry which requires the application of required function so as to determine the value known. So that the length of the guy wire is 67.0 feet.
Trigonometry is an aspect of mathematics that requires the application of some functions to determine the value of an unknown quantity.
Let the length of the guy wire be represented by l, and the angle that the guy wire makes with the stake be θ. So that applying the appropriate trigonometric function to determine the value of θ, we have:
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{11}{4}[/tex]
Tan θ = 2.75
θ = [tex]Tan^{-1}[/tex] 2.75
= 70.0169
θ = [tex]70^{o}[/tex]
Considering triangle formed by the tower and the stake to determine the value of l, we have;
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos [tex]70^{o}[/tex] = [tex]\frac{23}{l}[/tex]
l = [tex]\frac{23}{Cos 70^{o} }[/tex]
= [tex]\frac{23}{0.3420}[/tex]
l = 67.2515
l = 67 feet
The length of the guy wire is 67 feet.
For more on trigonometric, check: https://brainly.com/question/6459892
I need a step by step explanation
n - 31
--------- = 2
4
Answer:
39
Step-by-step explanation:
4 x 2 = 8
8+ 31 is 39
Is this graph proportional or non-proportional? How do you know?
Answer:
It is a proportional graph.
Step-by-step explanation:
By definition, a proportional graph is a graph which goes through the origin (O), in this picture the graph appears to indeed go through the origin, and is thus proportional.
Raisins and peanuts, again! Sig’s class was told that their mixture is 80% raisins and 20% peanuts. In Sig’s sample, he counted 48 raisins. About how many peanuts would you expect to be in Sig’s sample?
Answer:
About 12 peanuts. This is 20% of 60 (nuts and peanuts together)
Step-by-step explanation:
Let there be a total of n pieces in the mixture. Then, focusing on raisins, 0.80n = 48, so that n = 60. Then the number of peanuts is 0.20(60) = 12.
Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
#2
Reflexive sides
#3
Already given in question
#4
Given in the question
#5
By bisector definition
#6
Third angle therom
#7
Angle-Side-Angle
Done
Step-by-step explanation:
Missing reasons:
2. Reflexive3. Given4. Given5. Definition of bisect6. Third angle theorem7. ASAfind the scale figure from A to B.
scale figure A= 16 cm,8cm,20 cm
scale figure B=12cm,6cm,15cm
Answer:
The scale factor is 4/3 or 1.333...
Step-by-step explanation:
We're trying to find how can A go to B
Example: 16 --> 12
16 Divided by 12 = 4/3
[tex]\frac{16}{1}[/tex]÷[tex]\frac{12}{1} = \frac{16}{1} * \frac{1}{12} = \frac{16}{12} = \frac{4}{3}[/tex]
This will work with other numbers too.
A box of pens and rubbers is divided equally into two bags.
In the first bag, the ratio of pens to rubbers is 3:5.
The second bag, the ratio of pens to rubbers is 1:2.
What is the ratio of pens to rubbers before the pile was divided into two bags?
Answer:
my answer is 3:5
Step-by-step explanation:
sana makatulong yan
What is the average rate of change from x = 1 to x = 3?
Answer:
2
Step-by-step explanation:
Since at x = 1, y = -3, and at x = 3, y = 1
the slope is 2 meaning the average rate of change is 2
If the 10 musical acts for the winter show are randomly selected, what is the probability that
all of the electric acts get to play in the show?
Answer:1001
Step-by-step explanation:
The value of the expression -20 - 16 is
1)26
2)14
3)-14
4)-26
Answer:
I think -1(20+16)= -1(36)= -36
Answer:
-36Step-by-step explanation:
-20 - 16
=> -36.
Unfortunately, there is no option of -36. Please include -36 in one of the options.
100 IF U GET THIS RIGHT!
Answer:
Eq
● y = mx + c
m = slope
c = intercept
y = 2/9 x + (-2)
slope m=2/9
Can someone please help? I’m in a rush and my brain can’t process things well right now.
Answer:
50km/h
Step-by-step explanation:
195km/3.9h
= 50km/h
Answer:
the answer is 50km/h
Step-by-step explanation:
State what additional information is required in order to know that the triangles are congruent for the reason given. If possible, write the triangle congruence statement.
refer to attachment
ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
What is the value of
this expression? [2x(3x5)+6]x4
Answer:
144
Step-by-step explanation:
(2*(3*5)+6)*4:
First, we simplify the 3*5.
(2*(15)+6)*4
Next, we multiply by 2.
(30+6)*4
We add the six now.
36*4
Finally, we multiply.
144Quick i need your help !
Answer: 30
Step-by-step explanation:
Answer:
30 po brainliest answer po ty
PLEASE HELP!! Which ordered pair corresponds to point A?
A) (-1,-2)
B) (2,1)
C) (-1,2)
D) (1,2)
Answer:
D) (1,2)
Step-by-step explanation:
This is because point A is identified as (1,2), giving it's plotted point
Find:x , if |x |=6; |x |=3.2; |x |=0
* like x= ...
Answer:
|x|=6 we have x1=-6 x2=6
|x|=3.2 we have x1=-3.2 x2=3.2
|x|=0 x=0
I need #2 done ASAP (Must show work) Will give brainliest
Answer:
Using the Vertical Angle Theorem,
if two angles are vertical, then they are congruent
therefore, ∡4=∡5 and ∡6=∡7
since ∡4≅∡7
then ∡5 must also be ≅ to ∡6
Step-by-step explanation:
Step-by-step explanation:
Statement Reason
∠4 ≅ ∠7 Given
∠4 and ∠5 are vertical angles Vertical angles theorem
∠6 and ∠7 are vertical angles Vertical angles theorem
∠4 ≅ ∠5 and ∠ 6≅ ∠7 Definition of vertical angles
∠5 ≅ ∠6 Substitution property of equality
Haley has 48 colored pencils and 3 cups (A, B, C). Cup A holds one more colored pencil than cup C. Cup B holds 2 more colored pencils than cup C. How many pencils does cup B contain?
Answer:
17 pencils
Step-by-step explanation:
Assume that cup C holds x pencils. In this case, cup A holds x + 1 pencils, and cup B holds x + 2 pencils. We know that all of the cups together hold 48 pencils. If we add what we got together, we would get x + x + 1 + x + 2 = 48. 2x + 1 + x + 2 = 48. 2x + x + 1 + 2 = 48. 3x + 1 + 2 = 48. 3x + 3 = 48. 3x = 48 - 3. 3x = 45. x = 45 / 3. x = 15. Now, we know that cup C holds 15 pencils, and from here, we can find the number of pencils in cup B by adding 2 to 15 and getting 17, and that would be your answer.
Tell me if I'm wrong :)
Answer:
12
Step-by-step explanation:
[tex]\bf 5x-6=3x-8[/tex]
I need the answer to this question, I’ll give you brainliest and 50 points!
Answer:
Student 1
Step-by-step explanation:
Student one attempts to divide both sides by -2, however only divides one term by -2, instead of all the terms
Convert -450° from degrees to radians. (5 points)
negative five pi divided by two
negative five pi divided by four
five pi divided by two
negative five pi
Question
The value of a computer y, depreciates, or decreases as time passes. A computer was purchased for $3200 in 2018. In
2020 the computer was worth $2000. Assume the relationship between number of years after 2018 x, and value of
computer, y is linear.
The value of the computer decreases by $800 per year.
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).
Let y represent the cost of the computer and x represent the years after 2018.
A computer was purchased for $3200 in 2018. It is represented by the point (0, 3200). Also, in 2020 the computer was worth $2000, it is represented by the point (2, 2000). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3200=\frac{2000-3200}{2-0}(x-0)\\\\y-3200=-800x\\\\y=-800x+3200[/tex]
Therefore the value of the computer decreases by $800 per year.
Find out more at: https://brainly.com/question/13911928
A linear relationship will always decrease or increase at a constant and uniform rate.
The linear equation is [tex]\mathbf{y = -600x +3200}[/tex]The estimated value in 2022 is $800The estimated value in 2024 is -$400, and it does not make sensePart 1
(a) The linear equation
In 2018, the value is $3200
In 2020, the value is $2000
Let the number of years since 2018 be x, and the value be y
So, we have the following representation
[tex]\mathbf{(x,y) = (0,3200) (2,2000)}[/tex]
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{2000 - 3200}{2 - 0}}[/tex]
[tex]\mathbf{m = \frac{- 1200}{2}}[/tex]
Divide
[tex]\mathbf{m = - 600}[/tex]
The equation is then calculated as:
[tex]\mathbf{y = m(x -x_1) +y_1}[/tex]
So, we have:
[tex]\mathbf{y = -600(x -0) +3200}[/tex]
[tex]\mathbf{y = -600x +3200}[/tex]
Hence, the linear equation is [tex]\mathbf{y = -600x +3200}[/tex]
(b) The estimated value in 2022
In 2022, x = 4
So, we substitute 4 for x in the linear equation
[tex]\mathbf{y = -600x +3200}[/tex]
[tex]\mathbf{y = -600 \times 4 +3200}[/tex]
[tex]\mathbf{y = 800}[/tex]
Hence, the value in 2022 is $800
Part 2
The estimated value in 2024
In 2024, x = 6
So, we substitute 6 for x in the linear equation
[tex]\mathbf{y = -600x +3200}[/tex]
[tex]\mathbf{y = -600 \times 6 +3200}[/tex]
[tex]\mathbf{y = -400}[/tex]
Hence, the value in 2024 is -$400
This value does not make sense, because the value cannot be negative
Read more about linear equations at:
https://brainly.com/question/14323743
If there are 357 chairs in 7 rows,
how many chairs are in each row
Answer:
51
Step-by-step explanation:
357 ÷ 7 = 51 just divide
Answer:
51
Step-by-step explanation:
if we divide 357 by 7, we should have 51. meaning 357 chair divided in 7 rows, is 51 chairs per row.
A, B & C form a triangle where Z BAC = 90°
AB = 4.8 mm and CA = 6.6 mm.
Find the length of BC, giving your answer rounded
to 1 DP.
Answer:
BC = 8.2 mm
Step-by-step explanation:
This is a right triangle with BC as the hypotenuse
(BC)^2 = 4.8^2 + 6.6^2
(BC)^2 = 23.04 + 43.56
(BC)^2 = 66.6
Take the square root of both sides
BC = 8.1608823052
Rounded
BC = 8.2 mm
Molly can received her weekly paycheck and she earned a total of $339.25. If she makes
$14.75 per hour, how many hours, h. did she work?
Answer:
2267.25
Step-by-step explanation:
add that fisrt one
Pls help me asap!! Only answer if u know the correct answer! Thanks! :)
12*14=168
Hope this helps!
What is the equation of the line? Identify the values of A, B, and C in the
standard form of the equation.
The equation of line is
____
Answer: B
Step-by-step explanation:
Brainiest please '
PLEASE HELP!! I’LL MAKE YOU BRAINIEST!
Answer:
1. Markup: $2.70, Retail: $20.70
2. Markup: $9.45, Retail: $31.95
3. Markup: $25.31, Retail: $59.00
4. Markup: $24.75, Retail: $99.74
5. Markup: $48.60, Retail: $97.20
6. Markup: $231.25, Retail: $416.25
Step-by-step explanation:
To get the markup price of an item, multiply it by the markup percentage as a decimal. To get the decimal of a percentage, divide the number by 100. For example, 15% would be 0.15. And then to find how much the item has been marked up by, multiply the current price by the decimal.
$18 * 0.15 = $2.70
So $2.70 is the markup. To find the retail price, you need to add the markup price to the current price given.
$18 + $2.70 = $20.70
So your retail price is $20.70. Repeat these steps for each question to get the answers above.
Hope this helps.
Write equation for the graph
Answer:
y = -4x + 4
Step-by-step explanation:
slope formula: y = mx + b
b is always y intercept which is when the line crosses through the y axis while the x coordinate is at 0. that would make it 4. now we find another point which would be (-1,8)
use change in y/change in x
we already have 2 points
(0,4)
(-1,8)
change in x: -1
change in y: 4
4/-1
slope: -4
A circle with a circumference of 6 has an arc with 20 central angle
Answer: 0.3 units
Step-by-step explanation: The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.