El punto más alto de un repetidor de televisión situado en la cima de una montaña se ve desde un punto del suelo p bajo un ángulo de 67º si nos acercamos a la montaña 30 metros lo vemos bajo un ángulo de 70º y desde ese mismo punto vemos la cima de la montañas bajo un ángulo de 66 °. Calcular la altura del repetidor.
Answers
Answer:
El repetidor tiene aproximadamente 90.494 metros de altura.
Step-by-step explanation:
Al término de esta solución podemos encontrar el diagrama geométrico con toda la información derivada de lo descrito en el enunciado de la pregunta. Aquí designamos la altura del repetidor con la letra [tex]h[/tex], medida en metros. Procedemos a resolver el modelo a partir de la Ley del Seno:
[tex]\frac{30\,m}{\sin 3^{\circ}} = \frac{s}{\sin 67^{\circ}}[/tex]
[tex]s \approx 527.651\,m[/tex]
[tex]\frac{s}{\sin 156^{\circ}} = \frac{h}{\sin 4^{\circ}}[/tex]
[tex]h \approx 90.494\,m[/tex]
El repetidor tiene aproximadamente 90.494 metros de altura.
Related Questions
find the value of x. need quickly plz help
Answers
Answer:
60°
Step-by-step explanation:
I think, should be correct all sides = 180
180/3 = 60
Answer:
x = 60
Step-by-step explanation:
This is an equilateral triangle so all angles are 60 degrees
solve for sk and angle PQR.
Answers
Answer:
arc SK = 144°
∠PQR = 60°
Step-by-step explanation:
∠M = 1/2 (arc SK - arc NL)
37° = 1/2 (arc SK - 70°)
arc SK = 2*37° + 70° = 144°
∠PQR = 1/2 (small arc PQ) = 1/2 (360° - 240°) = 60°
Find the interest on a loan of $5000 for two years at 9%
Answers
Answer:
1k
Step-by-step explanation:
in rst, the measure of t=90°, the measure of r=9°, and tr=2.7 feet. find the length of st to the nearest tenth of a foot.
Answers
Answer:
6
Step-by-step explanation:
hjjh[tex]\leq[/tex]
Answer:
.4
Step-by-step explanation:
2.7
x
9=
2.7
x
2.7 9=x
Cross multiply.
x=0.4276
x=0.4276≈0.4 feet
helppp i really need help will give brainliest
Answers
Answer:
the answers are 13, ab/2, 20 and 15x²/2
Answer:
1/2 a^2, 1/2 b*a , 20, 7.5x^2
Step-by-step explanation:
Area of right angle triangle = 1/2 height * base so
Area of MSP = 1/2 a^2 , Area of BUC =1/2 a*b
Area of BAC =1/2 8*5 , Area of DRK =1/2 3x*5x =1/2 *15x =7.5x^2
HELPPPPSJSHS
The graph of a quadratic function is shown on the grid below.
Which coordinates best represents the vertex of the graph?
Answers
CT fffgghjkjhhgggggg
Answers
Step-by-step explanation:
yhcugchvhv hyddd wasppp
Answer:
iuytfjgfgjhgyjuhguyhgvgfcfgcjhgvyhjnbm
Step-by-step explanation:
Step- by- step explanation
which graph represents the function f(x) = 3x-2/x-2?
Answers
Answer:
solve for x and that should help match the equation to the correct grapgh, hope this help!
Step-by-step explanation:
PLEASE HELP
Determine whether the lines y =- 1/7x-1 and y=-1/7x-5 are parallel, perpendicular or neither
A Parallel
C. Neither
B. Perpendicular
Answers
Answer:
I think so its neither
Step-by-step explanation:
I dont know
Select the expressions that are equivalent to Oy + 3y.
10y + 3y
y + 12
12
y
13y - y
Answers
Answer:
None
Step-by-step explanation:
0y+3y=3y.
10+3y=13y, 13y is not equal to 3y
y+12=12y, 12y is not equal to 12y
12 is not equal to 3y
y is not equal to 3y
13y-y=12y which is not equal to 3y.
If you made a typo, put it in comment.
Write two numbers that multiply to the value on top and add to the value on the bottom.
Answers
Answer: 10 x -9 10 + -9
Step-by-step explanation:
24% of 40
I need it worked out pls thank uuu:)
Answers
Step-by-step explanation:
24% is the same as 6/25
[tex] \frac{6}{25} \times 40 \\ = \frac{48}{5} = 9.6[/tex]
Answer:
9.6
Step-by-step explanation:
24% of 40 = 0.24 × 40 = 9.6
Mr. Enloe uses a 3-foot-long piece of wood to build a square frame. Mr. Enloe cuts the wood in 4
pieces of equal length. What is the length, in inches, of each piece of wood?
12 inches
9 inches
36 inches
13.5 inches
Answers
Answer:
it 12 inches u can thank me later
Answer:
9 inches
Step-by-step explanation:
First we divide 3 by 4, which equals to 0.75. Since 1 foot is equal to 12 inches 0.75x12 is equal to 9.
This figure consists of a rectangle and a semicircle.
What is the AREA of the figure?
Question 9 options:
46.28
65.12
125.12
28
Answers
Answer:
46.28
Step-by-step explanation:
did the test
La suma de las edades de Pedro y su hijo son 84 años. Hace 6 años la edad de Pedro era 3 veces la edad de su hijo.
¿Qué edad tiene el hijo actualmente?
a) 34 años
b) 29 años
c) 24 años
d) 19 años
Es una pregunta de un examen en la que me quede estancado porque me da 32 o otra forma me da 30 pero ninguna es la opcion
Answers
Answer: 24 years old
A car museum wants to increase its collection by 20%. Currently the museum has 120 cars in its collection. How many cars would the museum need to add over the next year to meet its goal?
Answers
Answer:
24
Step-by-step explanation:
Complete the pattern: 2×4=8 20×4=80 200×4=800 2000×4=
Answers
just add another 0
I need help me please and ASAP!!!!!
Answers
Answer:
C D
Step-by-step explanation:
K/2 simply means k divided by 2. 1/2K also means divided by 2
A map represents every 4 miles with 1 inch. If a school and a bank are actually 12 miles apart, how far apart are they on the map, in inches?
Answers
Answer:
3
Step-by-step explanation:
12÷4=3, so they are 3 inches apart
jejsisbuehsuabsibsuababsieb
find the volume of the solid figure
Answers
Answer:
Volume= Length × Width × Height
2. A coin purse contains d dimes and q quarters. There are 20 coins in the purse, and the total value of the coins is $4.25. Which system of equations represents this situation?
A {d + q = 4.25
{0.1d + 0.25q = 20
B {d + q = 20
{0.1d + 0.25q = 4.25
C {d + q = 20
{d + q = 4.25
Answers
{will give brainiest}
In quadrilateral ABCD, m∠A = 8x-65,
m∠B = 6x-53,
M ∠ C = x+ 121,
and m ∠ D = 6x+21.
a. Find m∠A, m∠B, M ∠ C , and m ∠ D .
b. Classify quadrilateral ABCD as a kite, trapezoid, or isosceles trapezoid. Justify
your answer.
c. What is true of the side lengths?
Answers
Answer:
Sum of interior angles of a quadrilateral is 360°Find x first:
m∠A + m∠B + m∠C + m∠D = 360°8x - 65 + 6x - 53 + x + 121 + 6x + 21 = 36021x + 24 = 36021x = 336x = 336/21x = 16Find angle measures:
m∠A = 8*16 - 65 = 63°m∠B = 6*16 - 53 = 43°m∠C = 16 + 121 = 137°m∠D = 6*16 + 21 = 117°Each angle has a different measure, it means the sides are all different.
The quadrilateral ABCD is likely a trapezoid.
Answer:
360°.....................
Intrigue and drama are standard features of her writing, her next book should keep readers on edge.
Answers
Answer:
The complete sentence is:
Walnuts stay fresh longer in the refrigerator or freezer.
Step-by-step explanation:
A complete sentence is a sentence that displays a complete idea. It comprises of a subject and a predicate that includes verb too.
From the given two sentences, the complete sentence is the second sentence. 'Walnuts' is the subject and 'stay fresh longer in the refrigerator or freezer' is the predicate. A complete idea about the freshness of the walnuts have been stated in the sentence. On the other hand, the first sentence is a run-on sentence. In such a sentence, two sentences are merged together. This is done by adding the punctuation mark or coordinating conjunction to merge the sentences.
Answer:
Run-on sentence
Step-by-step explanation:
Can someone help me with Tuesday’s question??
Answers
Answer:
B
Step-by-step explanation:
It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet. Please help
Answers
Answer:
The set of natural numbers is the set of all positive integers, then this set is:
{1, 2, 3, ...}
and the 24th letter of the alphabet is x
Now we want to write the expression given in the sentence "It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"
We can "break" this in parts, so it is easier to understand.
Then:
"...the sum of the first 3 natural numbers..."
is:
1 + 2 + 3
Then:
"...the sum of the first 3 natural numbers, followed by the 24th letter of the alphabet"
This can be written as:
(1 + 2 + 3) + x
Now we can analyze the complete sentence:
"It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"
This is equal to the expression we found above plus one, then we can write this as:
[(1 + 2 + 3) + x] + 1
[6 + x] + 1
6 + x + 1
7 + x
PLEASE HELP (question is in picture)
Answers
Answer:
4*3=12
12*4=
3*3=9
9*2=18
18+48=66
Step-by-step explanation:
A metallic sphere is immersed in water in a cylindrical container causing a rise in the level of water by 7.5cm if the cylinder has a base radius of 7cm find the radius of the sphere to 2 decimal places
Answers
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
Which comparison of the two equations is accurate?
Equation A: Sqrt x^2 + 3x-6 - Sqrt X+2
Equation B: Sqrt x^2 + 3x-6 = Sqrt x+2
O Both equations have different solutions because the square root of a number is not the same as the cube root of a
number
O Both equations result in different equations after eliminating the radicals, so they have the different solutions.
O Both equations have the same potential solutions, but equation A might have extraneous solutions.
Both equations have the same potential solutions, but equation B might have extraneous solutions.
Answers
Answer: C, Both equations have the same potential solutions, but equation A might have extraneous solutions.
Step-by-step explanation:
Answer:
Both equations have the same potential solutions, but equation A might have extraneous solutions.
Step-by-step explanation:
EDGE
Solve the equation 18+a= -5
Answers
Answer:
The answer is -23
Step
please help taking a test!!
which describes the function graphed below?
Answers
Answer: D
Step-by-step explanation: Y starts at -4 and ends at 4
Answer:
D
Step-by-step explanation:
math :)