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Mark Wolfman is the director of safety at Waterworld. He needs to order a new wire for the tallest tower in the park. One end of the wire is attached to the top of the tower and the other end is attached to stake in the ground that is 44 feet away from the base of the tower. The wire makes a 78 degree angle with the flat ground. How much wire will he need?
Answers
Answer: Approximately 211.628311 feet of wire is needed
==========================================================
Explanation:
Draw out a right triangle with 44 as the horizontal component. The angle 78 is the angle of elevation right next to the horizontal side.
Let x be the length of the wire needed. This is the hypotenuse of the triangle.
Use the cosine ratio to say the following:
cos(angle) = adjacent/hypotenuse
cos(78) = 44/x
x*cos(78) = 44
x = 44/cos(78)
x = 211.628311 feet approximately
Round this value however you need to.
Answer:
211.63 ft (nearest hundredth)
Step-by-step explanation:
**Refer to the attached diagram**
We need to find the hypotenuse of the right triangle.
To do this, we should use the cos trig ratio:
[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]
where:
[tex]\theta[/tex] is the angleA is the side adjacent to the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 78°A = 44 ftH = wSubstitute given values into the equation and solve for w:
[tex]\sf \implies cos(78)=\dfrac{44}{w}[/tex]
[tex]\sf \implies w=\dfrac{44}{cos(78)}[/tex]
[tex]\sf \implies w=211.6283112[/tex]
Therefore, the length of wire needed is 211.63 ft (nearest hundredth)
Related Questions
1. Analiza cada problema y realiza su diagrama.
a. En sus vacaciones, los 25 alumnos de cuarto grado "C", decidieron ir de viaje. A
Paracas (P) fueron 10, a Arequipa (A) viajaron 15 y a los dos lugares fueron 7.
Los demás alumnos se fueron a Chosica.
Diagramar:
w
Completar:
POA={ }
PUA = {
}
Answers
Invitamos cordialmente a leer el desarrollo del problema para mayor detalle sobre el análisis de la situación y la construcción del diagrama.
Cómo construir un diagrama a partir de un enunciado
En esta pregunta debemos elaborar un diagrama de flujo, puesto que el enunciado muestra de manera evidente una clasificación de los viajeros según las ciudades de destino.
Nótese que se trata de un diagrama bastante simple, dado que no existe evidencia de jerarquización entre las ciudades mencionadas.
Tras una lectura cuidadosa del enunciado encontramos que de 25 estudiantes de cuarto grado "C" que decidieron irse de viaje, 10 viajaron a Paracas, 15 viajaron a Arequipa, 7 viajaron a los dos lugares citados y 3 viajaron a Chosica.
A continuación, presentamos el diagrama de flujo asociado a este caso en la imagen adjunta abajo.
Para aprender más sobre diagramas, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/10092453
Peter went to a store. He bought 6.4 pounds of onions, potatoes, and hamburger. If 1.18 pounds was hamburger and 4.75 pounds were potatoes, how many pounds of onions did
Peter buy?
Answers
Answer:
0.47 pounds
Step-by-step explanation:
Simple subtraction!
Total pounds = pounds of onions + pounds of potatoes + pounds of hamburger
Setting the pounds of onions to [tex]x[/tex] we get:
[tex]6.4 = x + 1.18 + 4.75[/tex]
[tex]x=0.47[/tex]
So we get 0.47 pounds of onions!
SOMEONE HELP ME PLEASE!! 100 POINTS FOR ANSWER!!
I took a screenshot of my problem.
Answers
Answer:
B it originally cost 12000
Step-by-step explanation:
the depriciation factor is 0.75^t and the original value was 12000
Answer:
(2) The motorcycle cost $12,000 when purchased.
Step-by-step explanation:
[tex]V(t)=12000(0.75)^t[/tex]
[tex]V(0)=12000(0.75)^0=12000[/tex]
[tex]V(1)=12000(0.75)^1=9000[/tex]
[tex]V(2)=12000(0.75)^2=6750[/tex]
etc.
⇒ Initial cost = $12,000
⇒ The motorcycle's value is decreasing by 25% each year.
in one year the water level of a lake change is b -3/8 in the water level of the lake continue to change at this rate for 7 years how many inches will the water level of the lake have changed
Answers
Answer:
-21/8 or -2 5/8
Step-by-step explanation:
The lake change is the same for all 7 years so you can subtract -3/8 seven times.
-3/8-3/8-3/8-3/8-3/8-3/8-3/8 = -21/8
as a mixed number it's -2 5/8
a] The area of a square is 200 cm² Find the length of its diagonal.
Answers
[tex]"20cm"[/tex]
Step-by-step explanation:[tex]Area\ of\ rq=a^2[/tex]
[tex]a=\sqrt{200}=10\bullet \sqrt{2}[/tex]
[tex]d\ iargul=\sqrt{2}9[/tex]
[tex]=10\times \sqrt{2}\times \sqrt{2}[/tex]
[tex]=20cm[/tex]
I hope this helps you
:)
What are the last two digits of 7^1867?
Answers
Considering that the powers of 7 follow a pattern, it is found that the last two digits of [tex]7^{1867}[/tex] are 43.
What is the powers of 7 pattern?The last two digits of a power of 7 will always follow the following pattern: {07, 49, 43, 01}, which means that, for [tex]7^n[/tex], we have to look at the remainder of the division by 4:
If the remainder is of 1, the last two digits are 07.If the remainder is of 2, the last two digits are 49.If the remainder is of 3, the last two digits are 43.If the remainder is of 0, the last two digits are 01.In this problem, we have that n = 1867, and the remainder of the division of 1867 by 4 is of 3, hence the last two digits of [tex]7^{1867}[/tex] are 43.
More can be learned about the powers of 7 pattern at https://brainly.com/question/10598663
Does 0 ÷ a =a ÷ a(assume a is not equal to 0)? explain
Answers
Answer:
A = 0
__________________________________________________________
SolveAlthough the question says not to assume A is 0, that is the only possible option, since any nor prime or composite is going to be the higher number, because it stays the same.
0 ÷ a(0) = 0
a(0) ÷ a(0) = 0
__________________________________________________________
Questions?Ask in the comments.
The graph of a system of two linear equations is a pair of
lines that intersect at the origin. Which statement is true of
the system?
Answers
Answer:
They both have a y intercept of 0
Step-by-step explanation:
Linear equations are written in the form y = mx + b. m is the slope and b is the y-intercept. It also states that they intersect at the origin, so they must have a y-intercept of 0.
I’m so confused by this:( Could someone please explain how to do this thoroughly?
Answers
Answer:
A. Complementary and Adjacent
B. ∠KLM = 22° and ∠MLN = 68°
Step-by-step explanation:
Question A
As ∠KLN is a right angle, ∠KLN = 90°
⇒ ∠KLM + ∠MLN = 90°
When the sum of two angles is 90°, they are called complementary angles.
∠KLM and ∠MLN have a common side of ML and a common vertex (corner point) L.
When two angles have a common side and a common vertex but do not overlap in any way, the are called adjacent angles.
Question B
First find n:
∠KLM + ∠MLN = ∠KLN
⇒ 2n + (6n + 2) = 90
⇒ 2n + 6n + 2 = 90
Combine like terms:
⇒ 8n + 2 = 90
Subtract 2 from both sides:
⇒ 8n = 88
Divide both sides by 8:
⇒ n = 11
Now substitute the found value of n into the expressions for the two angles:
⇒ ∠KLM = 2(11) = 22°
⇒ ∠MLN = 6(11) + 2 = 68°
Find the lengths of the sides of the triangle, then click to identify the triangle as scalene, isosceles, or equilateral. K(7, 0), L(3, 4), M(2, -1)
Answers
Answer:
triangle KLM is isosceles
Step-by-step explanation:
[tex]kl = \sqrt{(3 - 7) ^{2} + ({4 - 0) ^{2} } } = 4 \sqrt{2} \\ lm = \sqrt{(2 - 3 ) ^{2} + ( - 1 - 4) ^{2} } = \sqrt{26} \\ lk = \sqrt{(2 - 7) ^{2} + ( - 1 - 0) ^{2} = \sqrt{26} } [/tex]
therefore it is isosceles.
What I Know Write each as they would appear on a 24-hour digital clock. Morning Afternoon 1. Five minutes pass 8 2. Quarter of 12. 3. Six minutes to 10 4. Twenty minutes past 1 5. Twenty-five minutes to 9 6. Ten minutes to 3 7. Eighteen minutes pass 5 8. Fourteen minutes to 7 9. Half pass 1 10. Twelve minutes past 12
Answers
Step-by-step explanation:
1. 8:05
2. 12:45
3. 10:54
4. 1:20
5. 8:35
6. 2:50
7. 5:18
8. 7:44
9. 1:30
10. .12:12
While researching the industry she is interested in, Demi sees that the average unemployment rate is 6.3%. How many people, out of every 250, are unemployed? (2 points)
15.75
39.68
45.50
157.5
Answers
Answer:
15.75 is 6.3% of 250.
Formula:
[Percentage] x [Number Given] = [New number]
Help me out please simple
Answers
A straight line is 180 degrees in measure
The straight line is made up of three angles
--> angle 1
--> angle 2
--> angle with a little square on it
(angle with a little square means it is 90 degrees in measure)
Let's set up an equation
[tex]angle1 + angle2 + 90 = 180\\angle1 + 87 + 90 = 180\\angle1 = 3[/tex]
Thus angle 1 is 3 degrees or the second choice
Hope that helps!
A study of 110 students who had been awarded University scholarship showed that 40 worked part time jobs, 29 made the dean's list the previous semester and 16 both worked a part time job and made the dean's list the previous semester. What is the probability that a student worked a part time job or made the dean's list.
Answers
Answer:
i dont understand i need pic
pls pls pls pls pls help ill mark brainliest
Answers
Answer:
Y= 0. There is two that says that so I don't know if it's A or C
find the measure of angle m and give your reasons for each step
Answers
Answer:
m=56
Step-by-step explanation:
So look at the angles. I learned this in geometry like 2 years ago. I believe it was the opposite angle theorem or the alternate exterior or interior angles. You should look on the internet about that.
A solid has volume 7 cubic units. The equation k =
represents the scale factor of k by which
the solid must be dilated to obtain an image with volume V cubic units. Select all points which are
on the graph representing this equation.
a. (0,0)
e. (14,2)
b. (1,1)
f. (49,2)
C. (1,7)
(
g. (56,2)
(71)
h (27,3)
Answers
The volume of the solid is the amount of space in it.
The points on the graph are (0,0) and (1,7)
How to determine the points?The volume is given as:
V1 = 7
The scale factor is given as:
k
Let the new volume be V.
So, we have:
V = V1 * k^3
Substitute 7 for V1
V = 7k^3
Divide both sides by 7
k^3 = V/7
Take the cube root of both sides
k = (V/7)^1/3
Next, we test the options
a. (0,0)
k = (0/7)^1/3
k = 0 --- this is true
b. (1,1)
k = (1/7)^1/3
k = 0.05 --- this is false
c. (1,7)
k = (7/7)^1/3
k = 1 --- this is true
d (7, 1)
k = (1/7)^1/3
k = 0.05 --- this is false
e. (14,2)
k = (2/7)^1/3
k = 0.10 --- this is false
f. (49,2)
k = (2/7)^1/3
k = 0.10 --- this is false
g. (56,2)
k = (2/7)^1/3
k = 0.10 --- this is false
h (27,3)
k = (3/7)^1/3
k = 0.14 --- this is false
Hence, the points on the graph are (0,0) and (1,7)
Read more about volumes at:
https://brainly.com/question/12232378
Select all the fractions that are equivalent to each other.
(Choose 2)
[tex]hi \\answer \\the \\question[/tex]
Answers
Answer: You should try to multiply and divide try then question me back. But the answers are neither of them.
Step-by-step explanation:
Tell if the slope is positive, negative, zero, or no slope.
Answers
Answer:
No slope.
Step-by-step explanation:
There is no such thing as a vertical slope, meaning that there is no slope. I hope this helps! :)
Answer:
No slope
Step-by-step explanation:
The line is going straight up :)
Brainliest pls?
Find two integers whose sum is 11 and whose product is 30.
Answers
5 x 6 = 30
Which fraction represents the decimal 0.8888...?
StartFraction 80 Over 99 EndFraction
StartFraction 1,111 Over 1,250 EndFraction
Eight-ninths
Nine-eighths
Answers
Answer:
8/9
Step-by-step explanation:
A fraction that has denominator factors of 2 or 5 (only) will be finite in length. It will not be a repeating decimal fraction. This eliminates choices B and D.
The number of 9s in the denominator of a repeating decimal fraction will be equal to the number of repeating digits. The fraction 0.8888... has one repeating digit (8), so it can be written as 8/9.
_____
Additional comment
The fraction 80/99 will be the 2-digit repeating decimal 0.808080...
The fraction 1111/1250 evaluates to 0.8888, a 4-digit decimal fraction that does not repeat.
__
A fraction such as 0.142857...(6-digit repeat) can be written as ...
124857/999999 . . . . denominator has 6 nines
This fraction reduces to 1/7.
[tex] \begin{gathered}\begin{gathered}\boxed{\begin{array}{}\sf { \rightarrow \: \red{i \: dont \: know \: anymore}}\end{array}}\end{gathered} \end{gathered}[/tex][tex] \begin{gathered}\begin{gathered}\boxed{\begin{array}{}\sf { \rightarrow \: \red{i \: dont \: know \: anymore\:\color{green}☘}}\end{array}}\end{gathered} \end{gathered}[/tex]
[tex] \color {blue} \rule {1pt} {100000pt} [/tex]
Pls answer my math, thank u
Answers
Answer: question 1 equals 31 Over 8 or 3.875 .
question 2 equals 425 over 24 .
question 3 equals 41 over 6 or 6.83333333
question 4 equals 55 Over 14
Step-by-step explanation: hope it helps you .
what is the unit rate of 36 ounces of 5.79
Answers
A unit ounce is 0.16
If 36 ounces worth 5.79, 1 ounce will be
= 5.79 / 36
= 0.1608
how do i solve this?
Answers
Answer:
33
Step-by-step explanation:
For 4 triangles area 4*(1/2)*4*3=24
base square area 3*3=9
all together 24+9= 33
This below in pic is the question i need reason for my answer pls help
Answers
Answer:
The triangle is equilateral, therefore each angle must be 60.
Step-by-step explanation:
-15(y2)4 divide 5y3y4
Answers
Answer:
-3y
Step-by-step explanation:
-15(y2)4 ÷5y3y4
Rewrite the division as a fraction
-15(y2)4
5y3y4
Multiply y3 by y4 by adding the exponents
-5(y2)4
5y7
Cancel the common factor of -15 and 5
-3(y2)4
y7
Multiply the exponents in (y2)4
-3y8
y7
Cancel the common factor of y8 and y7
Factor y7 out of -3y8
y7(-3y)
y7
Multiply by 1
y7(-3y)
y7 × 1
Cancel the common factor which is y7 and y7
Rewrite the expression
-3y
1
Divide -3y by 1
-3y
What are the zeros of the quadratic function?
f(x)=2x2+x−3
Enter your answers in the boxes.
The zeros of f(x) are ---
and ---
Answers
Answer:
x=-3/2 and x=1 is the zeros of the equation
Convert (1, 1) to polar form.
OA (2, 45°)
OB. (1,45°)
OC. (2,225)
OD. (2.459)
Answers
[tex](\sqrt{2}{, 45^{\circ})[/tex]
============================================================
Explanation:
The original point is in cartesian form (x,y). We have x = 1 and y = 1 pair up together.
The radius is [tex]r = \sqrt{x^2+y^2} = \sqrt{1^2+1^2} = \sqrt{2}[/tex]
The angle theta is [tex]\theta = \tan^{-1}(y/x) = \tan^{-1}(1/1) = 45^{\circ}[/tex]
Therefore, the polar form is [tex](r, \theta) = (\sqrt{2}, 45^{\circ})[/tex]
The idea is to start at the origin while facing directly east at the angle 0 degrees. Then turn 45 degrees to the north (going counterclockwise) and then move [tex]\sqrt{2}[/tex] units away from the origin. Doing these steps will take you to the point (x,y) = (1,1)
How to simplify in laws of exponents
Answers
Answer:
You multiply the exponents and or to keep the base the same.
Step-by-step explanation:
I apologize if it is incorrect-
I hope it helps! Have a great day!
Anygays-
CAN SOMEBODY SOLVE THIS EQUATION
Answers
Answer:
The tank starts with 32300 gallons and is decreasing by -16.15 gallons per minute
