Una antena de televisión será sujeta con un cable de 6 m de longitud de la parte superior de la misma, a una argolla que se encuentra en el piso de la azotea, con un ángulo de inclinación de 60° con respecto al piso, ¿qué longitud tiene la antena?
Answers
Answer:
5.196 m
Step-by-step explanation:
p = La perpendicular del triángulo es la longitud de la antena.
h = La hipotenusa del triángulo es la longitud del cable conectado a la parte superior del poste = 6 m
[tex]\theta[/tex] = Incline el cable con el suelo = [tex]60^{\circ}[/tex]
De las funciones trigonométricas sabemos que
[tex]\sin\theta=\dfrac{p}{h}\\\Rightarrow p=h\sin\theta\\\Rightarrow p=6\times \sin60^{\circ}\\\Rightarrow p=6\times\dfrac{\sqrt{3}}{2}\\\Rightarrow p=3\sqrt{3}\\\Rightarrow p=3\times 1.732=5.196\ \text{m}[/tex]
La longitud de la antena es 5.196 m.
Related Questions
Each year, a car loses 25% of the value it had the previous year. If the value of a car is $12,500 during the first year it is owned, which function represents the value of the car after y years
Answers
Answer:
T=12500-0.25y
Step-by-step explanation:
Step one:
given data
The value of the car is $12500.
let the value of the previous year be T
let the number of years be y
25% will be 0.25----this is equivalent to the gradient
The expression for the change in price can be represented linearly using the equation of a straight line,
y=mx+c
but since the price is reducing the expression becomes
y=-mx+c
Now, in this situation the expression for the cost after y years is
T=-(0.25y)+12500
rearrange
T=12500-0.25y
The expression is T=12500-0.25y
Marlena solved the equation 2x + 5 = –10 – x. Her steps are shown below.
2x + 5 = –10 – x Use the drop-down menus to justify Marlena’s work in each step of the process.
Answers
Step-by-step explanation:
marlena steps should look like this:
2x + 5 = -10 - x
(minus 5 from both sides)
2x = -15 - x
(add x to both sides)
3x = -15
(divide by 3)
x = -5
Answer:
step 1 addition property of equality
step 2 subtraction property of equality
step 3 division property of equality
the 15% tip on craig's lunch bill came to $2.40 what was the amount of bill before the tip? show workouts
Answers
Remember to write the percent as a decimal for the calculations
Think of the tip as the question 2.40 is 15% of what number?
2.40/x = 15/100
Multiply both sides by x
2.40 = 15x/100
2.40 = 0.15x
So the tip 2.40 = 0.15x
Divide both sides 0.15 to solve for x
And that makes the cost before the tip 2.40/0.15 = 16.00
$16.00
The total bill for his lunch would be the cost before the tip plus the tip
We can calculate the final bill as $16.00 + $2.40 = $18.40
Dr. Ochoa's team attached a beam to the International Space Station creating a right angle. If the height of the International Space Station is 110 kilometers and the length of the attached beam is 75 kilometers, how far is the end of the beam from top of the International Space Station? Round your answer to nearest tenth of a kilometer.
Answers
133.1 kilometers
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree.
?= __∘
Answers
Answer:
x = 30°
Step-by-step explanation:
Use the sine rule:
the question is : (–7)(–5)
Answers
Answer: 35.
Step-by-step explanation: The parenthesis with no operation in between is multiplication. double negative makes a positive so its 7 times 5 which is 35.
Жилищен блок има еднакъв брой етажи във
всеки вход и еднакъв брой апартаменти на
всеки етаж. Броят на входовете е по-голям
от 1. Броят на апартаментите на етаж е по
голям от броя на входовете и по-малък о
броя на етажите. Колко са етажите, ак
броят на всички апартаменти е 105?
Answers
мой пипи действительно большой, и это круто
: Frank bought 5 pounds of dog food for $8.75. At this
rate, how much would he pay for 8 pounds
Answers
Each pound is 1.75 so if you multiply that by 8 you get $14
Answer is $14
Please anybody help please
Answers
Answer:
x= -3 and y = 6
Step-by-step explanation:
so basically what you are trying to do is reduce into finding x and y
what you do is you want to find a number to multiply one of the equations in order to get the same x or y value does not matter which
so,...
we can do
either 20x or 15y
we will go with the smallest 15y
so for both equations multiply the whole thing by 5 for the first equation and by 3 for the second
5 x 5x+3y=3 --> 1
3 x 4x+5y=18 --> 2
we then get
25x+15y = 15 -->1
12x + 15y = 54 -->2
then now that you have the same Y values you can subtract ! which cancels out both the 15y
25x+15y = 15 -->1
- 12x + 15y = 54 -->2
13x =-39
so now x=-3 and all you have to do with x = -3 is sub this into either one of the equations that you started with !
x = -3
5(-3) +3y =3
-15 + 3y = 3
3y = 3+15
3y=18
y = 6!
What is the first step in evaluating the expression shown below?
(12.9-3.1) 6.2-2 + 43
Answers
Answer:
Subtract 3.1 from 12.9
Hope it helped
help please I don't know how to do this
Answers
Answer:
1500 meters
Step-by-step explanation:
A scuba diver used the expression below to describe his position in relation to sea level.
2 + (negative 20) + 8
Which statement could describe the diver’s movements?
Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.
Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.
Starting 2 feet below sea level, dive down 20 more feet, and then rise to a location that is 8 feet below sea level.
Starting 2 feet below sea level, dive down 18 more feet, and then rise to a location that is 8 feet below sea level.
Answers
Answer:
A I got it right on edge.
Step-by-step explanation:
What is 2x+8x=6? Please answer accurately???
Answers
Answer:
x = 3/5
Step-by-step explanation:
2x + 8x = 6
10x = 6
x = 3/5
10x=6
6/10=0.6 or 3/5
3/5 or .6
PLEASE HELP ITS EASY MATH AND FIRST ONE WHOS CORRECT WILL GET BRAINLIST
Write an equation in slope-intercept form of the line that passes through the given points.
X Y
-2 , 2
0 , 2
2 , 2
4 , 2
Answers
Answer: I think it's y=2??????
Step-by-step explanation: The shop would be 0, so there would be no x. The slope is zero because the y value never changes.
What is 19,067 divided by 43
Answers
It could be 443, try simplifying to the nearest hundreaths, hope this helps!
Answer:
so you are going to divide with a calculator
19,067 divided by 43
equals 443.4186047 (simplify)
Step-by-step explanation:
can i have brainliest please
3x²=12 extracting square roots
Answers
Answer:
x = ± 2
Step-by-step explanation:
Given
3x² = 12 ( divide both sides by 3 )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
Which expression is equal to (1.5)3? Select all that apply. A. 5.0625 B. 3.375 C. 4.5 D. 2.25 × 1.5 E. 2.5 × 1.25
Answers
Answer:
its B and D
Step-by-step explanation:
cause 1.5 times 1.5 times 1.5 is 3.375 which is (1.5) and the explanation for D is that 2.5 times 1.25 Is 3.375 which is (1.5) Hope i helped:)
The expression is equivalent to 3.375 and 2.25 × 1.5.
We have to determine
Which expression is equal to [tex](1.5)^3[/tex]?
The expression is equivalent to;
[tex]= (1.5)^3\\\\= 1.5 \times 1.5 \times 1.5\\\\= 3.375[/tex]
Therefore,
The expression is equivalent to;
[tex]= 2.25 \times 1.5\\\\= 3.375[/tex]
Hence, the expression is equivalent to 3.375 and 2.25 × 1.5.
To know more about Expression click the link given below.
https://brainly.com/question/19943359
simplify the expression -2d-3+8d
Answers
Answer:
6d-3
Step-by-step explanation:
I need help with this assignment
Answers
Answer:
1) 3x = 2x + 50
3x - 2x = 50
X= 50
2)6x = 2x + 44
6x - 2x = 44
4x = 44
divide both sides by 4
X = 11
3)8x = 2x + 36
8x - 2x = 36
4x = 36
divide both sides by 4
X = 9
4) 4x = X + 18
4x - X = 18
3x = 18
divide both sides by 3
X= 6
5) 7x + 10 = 3x + 120
collect like terms
7x - 3x = 120 - 10
4x = 110
divide both sides by 4
X = 27.5
6) 20 + 2x = X + 56
collect like terms
2x - X = 56 - 20
X = 36
7) already done
8)12x + 12 = 3x + 84
collect like terms
12x - 3x = 84 - 12
9x = 72
divide both sides by 9
X = 8
9) 3 + 6x = 2x + 27
collect like terms
6x - 2x = 27 - 3
4x = 24
divide both sides by the coefficient of X (4)
X = 6
10) 8x + 2 = 72 + X
collect like terms
8x - X = 72 - 2
7x = 70
divide both sides by the coefficient of X (7)
X = 10
11) 2x + 20 = X + 60
collect like terms
2x - X = 60 - 20
X = 40
12). 4x + 1 = 25 + 2x
collect like terms
4x - 2x = 25 - 1
2x = 24
divide both sides by the coefficient of X (2)
X = 12
I hope this helps
what is the equation of a line that is parralel to 2x+3y=3 and passes through the point (3,-4)
Answers
y=-2/3x+b
When you want to find the point that a line travels through, you always want to ignore the b value. Two lines are parallel if they have EXACTLY the same slope. Y-intercept does not matter.
Plug in the x and y in the equation
-4=-2/3(3)+b
-4=-2+b
-2=b
Equation: y=-2/3x-2
F (x) = x^2 + 4x; Find f (−7)
Answers
Answer:
f(-7) = 21
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = x² + 4x
f(-7) is x = -7
Step 2: Solve
Substitute: f(-7) = (-7)² + 4(-7)Evaluate: f(-7) = 49 + 4(-7)Multiply: f(-7) = 49 - 28Subtract: f(-7) = 21The tuition and fees at a two-year college are $135 per credit hour. If Tyler takes h credit-hours, write an expression for the cost of his tuition and fees.
Answers
Answer:
t=135h, where
t is the cost of tuition and fees
his the number of credit hours
Step-by-step explanation:
Given that the tuition and fees at a two-year college are $135 per credit hour, the expression to calculate the cost of Tyler's tuition and fees would indicate that is equal to the result of multiplying the price per credit hour for the number of hours:
t=135h, where
t is the cost of tuition and fees
his the number of credit hours
Which inequality is shown in the graph?
Answers
Answer: 3ft²?
Step-by-step explanation:
Jimmy saw a tent which was $15 more than twice the cost of an air mattress. The total of both was $210. What was the cost of the tent and the air mattress?
Answers
Answer:
Tent: $145
Mattress: $65
Step-by-step explanation:
Tent: 2x + 15
Mattress: x
2x + 15 + x = 210
3x + 15 = 210
3x = 195
x = 65
Tent: 2x + 15 = 2(65) + 15 = 145
Mattress: x = 65
Consider the line y = x+4.
Find the equation of the line that is perpendicular to this line and passes through the point (-8, 6).
Find the equation of the line that is parallel to this line and passes through the point (-8, 6).
Answers
2. The table shows distance, y, that Mario runs in x minutes.
Mario’s Running Speed
Time,
(min) Distance,
(mi)
7 | 1
21 | 3
35 | 5
(a) Based on the information in the table, write an equation that can be used to model the relationship between the time (x) and distance (y). Show your work.
(b) What is the rate of change for this linear relationship? Show your work.
(c) What is Mario’s distance given that he ran for 70 minutes? Show your work.
Answer:
Answers
(a) y=x/7
(b) the rate of change is 7
(c) if he ran for 70 minutes then his distance is 10 miles.
*for (c) just plug in the number given. Replace it with x and divide it by 7.*
simplify (-sqrt of 125)^3
Answers
Answer:
5
Step-by-step explanation:
[tex]\sqrt[3]{125} =5*5*5=5[/tex]
The candidate that won received 80% of the 260 total votes. How many votes did the non-winning candidate receive?
PLEASE HELP I WILL GET YOU WHATEVER YOU WANT!!
Answers
Answer:
Step-by-step explanation:
20% of 260
Or 52 votes
if 6 litres of petrol cover's 60km , how many litres of petrol will a car need to cover 50km
Answers
Answer:
5 litres
Step-by-step explanation:
60 ÷ 10 = 6
50 ÷ 10 = 5
So 5 litres of petro
I hope this helped, please mark Brainliest, thank you!
Simplify
3
−
5
×
3
−
8
×
3
8
leaving your answer in the form
a
n
where
a
is a whole number.
Answers
Answer:
that's the simplified way 24×15×38