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
Please help with this question; I need to prove to my parents I am not as much of a disappointment to them as they think I am.
Answers
Answer:
ΔABD ≅ ΔCBD by SAS Congruence Postulate (Option C)
Step-by-step explanation:
In ΔABD & ΔCBD ,
1) AD = CD = 15 units
2) ∠ADB = ∠CDB (∵ BD is angle bisector)
3) BD = BD (common side)
∴ ΔABD ≅ ΔCBD by SAS congruence postulate.
Answer:
Triangles ABD and CBD are congruent by SAS.
Step-by-step explanation:
Sides AD and CD are congruent since they both measure 15.
Angles ADB and CDB are congruent because of the angle bisector.
Side DB is congruent to itself.
By SAS, triangles ABD and CBD are congruent.
Answer: Triangles ABD and CBD are congruent by SAS.
if a telescope originally costs $539.99 the tax rate is 10%. what is the total?
pls someone explain how to solve these type of problems plssssssssssss im not asking for a answer just explaining and possibly a example PLSS HELP ITS DUE IN 10 MINUTES
Answers
will mark brainliest and extra points
Answers
Answer:
c = 5
Step-by-step explanation:
a²+b²=c²
(3)²+(4)²=c²
9+16=c²
25=c² square root on both sides
5=c
c=5
Seven less than one-fourth of a numer is -1.
Answers
Answer:
The number is 24.
Step-by-step explanation:
-1+7=6
6*4=24
I believe the answer is 96
x/4 - 7 = 17
x/4 = 24
x = 96______is the number
Work out value x 4x 5x angles
Answers
Answer:
x=20
Step-by-step explanation:
5x+4x=180
9x=180
/9 on both sides
x=20
The value of 4x and 5x is 80° and 100° respectively .
What is the same-side interior angle theorem?The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary, or add up to 180 degrees.
According to the question
4x , 5x are angles given
As,
They are angles between parallel line and same side of transversal line
according to same-side interior angle theorem that are formed are supplementary .
i.e there sum = 180°
4x + 5x= 180°
9x = 180°
x = 180°/9
x = 20°
So,
4x = 20 * 4 = 80°
5x = 20 * 5 = 100°
Hence, The value of 4x and 5x is 80° and 100° respectively .
To know more about same-side interior angle theorem here:
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Find f(3) f(x)=x+2/x
A) -1/3
B)1/3
C)5/3
D)-5/3
Answers
Work Shown:
f(x) = (x+2)/x
f(-3) = (-3+2)/(-3) .... replace every x with -3
f(-3) = -1/(-3)
f(-3) = 1/3
Which statement correctly describes the location of the incenter of a triangle?
Question 15 options:
A)
The incenter is equidistant from all three vertices of the triangle.
B)
The incenter is equidistant from all three sides of the triangle.
C)
The incenter is closest to the shortest side of the triangle.
D)
The incenter is closest to the longest side of the triangle.
Answers
9514 1404 393
Answer:
B) The incenter is equidistant from all three sides of the triangle.
Step-by-step explanation:
The incenter is the center of the inscribed circle, which is tangent to all three sides. Hence, the distance from the incenter to each side is the radius of the circle. The incenter is equidistant from the sides of the triangle.
What is the binary number for 23
Answers
Answer:
10111
Step-by-step explanation:
Answer:
♡ hi again, queen! ♡
- It's 10111.
have a great day!
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧
Step-by-step explanation:
20 POINTS!!
( Also explain the reasoning you used to find the value of P)
ILL MARK BRAINLIEST!!
Answers
9514 1404 393
Answer:
P = 3x +32
Step-by-step explanation:
If we assume the short vertical edge at top center is 10 yards, as it was in two previous problems with this geometry, then we can find the area of the present parking lot as ...
(x-2)(3x) + x(3x -10) +2x(40) = 6x^2 +64x
where the left vertical rectangle is 3x high and x-2 wide; the center area between vertical rectangles is (2x-2)-(x-2) = x wide and (3x-10) high; and the right vertical rectangle is (x-2 +3x)-(2x-2) = 2x wide and 40 high.
As we said, the right vertical rectangle is 2x wide, so the area that has P as one of its dimensions is ...
A = LW = P(2x)
We want this to be the same as the existing area, so ...
2Px = 6x^2 +64x
P = 3x +32 . . . . . divide by 2x
Which of these angles listed is vertical to Which of these angles listed is a linear pair to
Answers
UZY *may be written as YZY* is a linear pair to angle VZU
Help rn please!! Urgent
Answers
Answer:
x² + 2x - 15 = 0
Step-by-step explanation:
- 5 and 3 are zeros of quadratic function.
(x + 5)(x - 3) = 0
x² + 2x - 15 = 0
A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
A. p=421−376
376
B. p=421−376
421
C. p=376
421−376
D. p=376+421
376
Answers
Answer: The answer is A
Solve for x -1/2x < -12
Answers
Answer:
x < 24
Step-by-step explanation:
-1/2x < -12
1) Isolate x!
-1/2x < -12
×-2 ×-2
x < 24
It there sufficient evidence to conclude that more than 75% of US businesses monitor employees web site visits? Test the appropriate hypotheses using a significance level of 0.01
Answers
Complete question is;
In a survey of 565 U.S. businesses, 430 of these companies indicated that they monitor employees' web site visits. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of businesses in the United States.
Is there sufficient evidence to conclude that more than 75% of U.S. businesses monitor employees' web site visits? Test the appropriate hypotheses using a significance level of 0.01. (Round your test statistic to two decimal places and your P-value to four decimal places.)
Answer:
There's not sufficient evidence to suggest that more than 75% of U.S. businesses monitor employees website visits.
Step-by-step explanation:
Population proportion; p^ = 430/565 = 0.761
Sample proportion; p = 75% = 0.75
Significance level; α = 0.01
Sample size; n = 560
Let's define the hypotheses;
Null hypothesis; H0: p = 0.75
Alternative hypothesis: p > 0.75
Formula for the test statistic is;
z = (p^ - p)/√[p^(1 - p^)/n]
z = (0.75 - 0.761)/√(0.75(1 - 0.75)/560)
z = -0.011/√0.00033482143
z = -0.011/0.0183
z = -0.60
From online p-value from z-score calculator attached, using; z = -0.60, significance level = 0.01, one tailed hypothesis, we have;
P-value ≈ 0.2743
The p-value is greater than the significance level and so we will fail to reject the null hypothesis and conclude that there's not sufficient evidence to suggest that more than 75% of U.S. businesses monitor employees website visits.
The price of a remote control car was reduced from $200 to $120. By what percentage was the
price of the remote control car reduced?
Answers
Answer:
%40
Step-by-step explanation:
good night everyone!!!
Answers
Answer:
Sleep well
Step-by-step explanation:
Thank u so much... And thk for the FREE POINTS... <3
What is 2/5 + + 2/5 + 2/5
(2/5 times 3)
Ty
Answers
Answer:
6/5 or 1 1/5
Step-by-step explanation:
2/5 + 2/5 + 2/5 = 6/5 or 1 1/5
This is the same as multiplying 3 x 2/5 = 6/5 or 1 1/5
Answer:
6/5 or 1 1/5
Step-by-step explanation:
2/5 + 2/5 + 2/5 = 6/5 or 1 1/5
This is the same as multiplying 3 x 2/5 = 6/5 or 1 1/5
Step-by-step explanation:
What similarity property, if any, can be used to show that the following two triangles are similar.
A.) SSS
B.) SAS
C.) AA
D.) Not enough information given
Answers
The two triangles could be similar by the AA similarity property. So, option C is correct.
What is AA similarity property?AA is angle-angle similarity property.
In the given figure, both of these triangles show two given angles which are 42 degrees.
The other two sides are different and not proportional to each other.
So, The two triangles could be similar by the AA similarity property.
Thus, option C is correct.
Learn more about similarity property;
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Sketch a graph of the solutions to this situation,
It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music. Take a picture and upload it.
Answers
Answer:
hey I was just wondering if u could help me with my
ine
Step-by-step explanation:
thank u
i need help plzzzzzz
thanks
Answers
Answer:
Step-by-step explanation:
5/6b+5-2/3b-2
1/6B+ 3
Which of the following is equivalent to 8^(1/3)?
Option 1
Option 2
Option 3
Option 4
(look at photo for answers)
Answers
the answer is option 2....
Answer:
Option 2
Step-by-step explanation:
when the power appears as a fraction, take the root of the number based on the denominator of the fraction when numerator is equal to 1
Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.
9(1 + 6)
9(9 + 6)
9(1 + 54)
9(1) + 9(54)
Answers
Answer:
A-9(1=6)
Step-by-step explanation:
Correct on edg
What is the volume of a sphere with a radius of 6 inches
Answers
Answer:
904.78 in I think but I'm not 100%
Answer:
V≈904.78
Step-by-step explanation:
V=4/3[tex]\pi[/tex][tex]r^{3}[/tex]
V=4/3[tex]\pi[/tex](6)^3
V≈904.78
I'm pretty sure this is correct.
S = ut + 1/2 at squared
U = 10 a= -2 t = 1/2
What is the value of S?
Answers
Answer:
S = [tex]\frac{19}{4}[/tex]
Step-by-step explanation:
Given
S = ut + [tex]\frac{1}{2}[/tex] at² ← substitute given values into expression
S = (10 × [tex]\frac{1}{2}[/tex] ) + ([tex]\frac{1}{2}[/tex] × - 2 × ([tex]\frac{1}{2}[/tex] )² )
= 5 + (- 1 × [tex]\frac{1}{4}[/tex] )
= 5 + (- [tex]\frac{1}{4}[/tex] )
= 5 - [tex]\frac{1}{4}[/tex]
= [tex]\frac{19}{4}[/tex]
Ramon earns $1,665 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what
percent of Ramon's earnings are spent on electricity each month?
Answers
Tell me what you think it is and I will help you
Write 321.35 in scientific form.
Answers
Answer:
3.2135 x 10^2 if you're looking for scientific notation
Step-by-step explanation:
At a winter concert, the ratio of the number of boys to the number of girls is 3:8. if there are 250 more girls than boys, how many
boys are at the concert?
Answers
Answer:
150
Step-by-step explanation:
if 3:8 , that means the difference is 5. the difference is 250, so 250/5 =50.
then u multiply 3 by 50 and get 150. ur welcome man
Find the slope of the line that contains the ordered pairs. a. (4, 2) and (7, 6.5) b. (10, 8) and (-5, 8) c. (1, -3/4) and (4, -3) d. (18, -7) and (18, 2)
Answers
Answer:
What line? S...... Sss
Give the formula for finding the 'nth term' for this specific arithmetic sequence: 5, 8, 11, 14... (Be sure to fill in numbers for A(1) and d)
Answers
9514 1404 393
Answer:
A(n) = 5 +3(n -1)
Step-by-step explanation:
The first term is ...
A(1) = 5
The common difference is ...
d = 8 - 5 = 3
Then the desired formula is ...
A(n) = A(1) +d(n -1)
A(n) = 5 +3(n -1)
Which equation is parallel to a line with a slope of 2 and passes through (2, -1)
Answers
Answer:
y=2x-5
Step-by-step explanation: