The required kite is flying at a height of approximately 45.02 meters to the nearest tenth of a meter.
To find the height at which the kite is flying, we can use trigonometry, specifically the tangent function. The tangent of the angle of elevation (42 degrees) is the ratio of the height (h) of the kite to the distance from Cynthia to the kite (50 meters).
The formula for the tangent of an angle is:
[tex]tan(angle) = opposite/adjacent[/tex]
In this case, the angle is 42 degrees, the opposite side is the height of the kite (h), and the adjacent side is the length of the string (50 meters).
[tex]tan(42^o) = h / 50[/tex]
To find the height (h), we can rearrange the equation:
[tex]h = 50 * tan(42^o)[/tex]
Now, let's calculate the height:
[tex]h =50 * tan(42^o)[/tex]
h ≈ 50 meters * 0.9004
h ≈ 45.02 meters (rounded to two decimal places)
So, the kite is flying at a height of approximately 45.02 meters to the nearest tenth of a meter.
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help me! 50 points and brainlyist
A fireman needs to get water to a second-floor fire. His ladder is 33 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest tenth of a degree and show all your work.
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 55°. Will the ladder be safe the way it is positioned? Explain.
Answer: (a) 64°
(b) Yes, it is safe
Step-by-step explanation:
A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.
We solve the above question using the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse sides
θ = Angle formed with the ground = ?
Opposite side = 27 ft
Hypotenuse side = 30 ft
Hence,
sin θ = 27 ft/30 ft
sin θ = 9/10 = 0.9
θ = arc sin (0.9)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?
From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
Hence:
64° < 70°
Therefore, the ladder will be safe the way it is positioned.
which exponential function repreasents growth?
Answer:
There are two types of exponential functions: exponential growth and exponential decay. In the function f (x) = bx when b > 1, the function represents exponential growth.
Step-by-step explanation: Math websites man
The ratio of cups of orange juice concentrate to water in a punch recipe is 1 : 6. If Stefan used 18 cups of water, how many cups of orange juice concentrate did he use?
Answer:
Order your units;
Orange Juice 1 x____________ _______ = ________, solve for x; Water 6 181/6 = x/18
×18 ×18
18/6 = x
3 = x
He will be using 3 cups of orange juice.
Find the equation of the perpendicular from the point P(-1,-2) on the line
3x + 4y - 12 = 0. also find the coordinates of the foot of the perpendicular.
Step-by-step explanation:-
The given line is 3x + 4y - 12 = 0
=> 4y = -3x + 12 ....(i)
=> y = -3x/4 + 3,
therefore, the slope of the line (i) = -3/4.
From P(-1,-2), draw PN perpendicular to the given line. (see attachment)
As we know,, m2 = -1/m1
So, the slope of the line PN = 4/3
the equation of the line through P(-1,-2) and having a slope 4/3 is :-
= > y - (-2) = 4/3 * (x - (-1))
= > 3y + 6 = 4x + 4
= > 4x - 3y - 2 = 0....(ii)
which is the required equation of the perpendicular from P to the given line. To find the coordinates of N (the foot of perpendicular), solve (i) and (ii) simultaneously. Multiplying (i) by 3 and
(ii) by 4, and on adding, we get
= > 25x - 44 = 0
= > x = 44/25
Multiplying (i) by 4 and (ii) by 3, and on subtracting, we get :-
= > 25y - 42 = 0
= > y = 42/25
Hence, the coordinates of the foot of the perpendicular are (44/25 , 42/25)
Hope it helps you!!(44/25 , 42/25)
these are the points
⚠️‼️ HELP PLEASE GIVING POINTS
The area of the entire figure below is 1 square unit. How can we describe the area of the striped rectangle?
Answer:
0.267 square units (or 8/30 square units)
Step-by-step explanation:
width = 3 rectangles
length = 10 rectangles (left to right)
area = width * length = 30 rectangles
the striped rectangle is made up of 8 regular rectangles
thus, (area we want) / (total area) = 8/30 of the whole ≈ 0.267 of the whole
the whole is 1 square unit, so 0.267 of 1 square unit = 0.267 * 1 square unit = 0.267 square units
Write a two-column proof in your journal, upload the image, and submit to your teacher.
Answer:
Step-by-step explanation:
We can prove ∠Q ≅ ∠U, by showing the triangles congruent.
Given that a pair of triangles, ΔSQR and ΔTUR, connected at the point R, in which QR ≅ RU, SR ≅ RT.
We need to prove that ∠Q ≅ ∠U,
So, to prove the same we will use the concept of congruent triangles, the type of triangles in their corresponding parts are congruent, by showing the triangles congruent we can prove ∠Q ≅ ∠U.
1) QR ≅ RU, SR ≅ RT (given)
2) ∠QRS ≅ ∠TRQ (vertical angles are congruent)
3) ΔSQR and ΔTUR (by SAS congruency rule)
4) ∠Q ≅ ∠U (CPCTC)
Hence proved.
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5) A bowl has 20 marbles in it, 4 red, 5 blue, 8, green, and 3 yellow. What is the probability of picking yellow? a. 3/20 b. 4/20 c. 1/3 d. 5/8
Answer:
A. 3/20
Step-by-step explanation:
since there are 3 marbles, and 20 total marbles, you have a 3/20 chance of picking yellow
Find the value of x. Please help.
Answer:
x = 55
Step-by-step explanation:
the inscribed angle x is half the measure of its intercepted arc, that is
x = [tex]\frac{1}{2}[/tex] × 110 = 55
Kaya's family spends \$ 105$105 to rent a boat for 77 days. The total cost, cc, of the boat rental is proportional to the number of days, dd, the family rents the boat.
A. How much does it cost, in dollars, to rent the boat for one day?
B. Create an equation using c and d to represent the proportional relationship.
A. \$$
B.
[tex]c = 15d[/tex]
Step-by-step explanation:
find the value of the constant of proportionality k
[tex]k = \frac{v}{d} [/tex]
c =total cost
d =days
Fernando tiene una estatura de 1.80m y se encuentra parado a 6m del pie de la lámpara. Determina la altura de la lámpara si, cuando está encendida Fernando proyecta una sombra de 2m de longitud
A) x=0.45m
B) x=7.2m
C) x=5.4m
D) x=2.4m
Considerando la estatura de Fernando, la longitud de su sombra y la distancia con respecto a la lámpara, la altura de la lámpara encendida es de 7.20 metros. (Opción correcta: A)
Cómo aplicar el concepto geométrico de proporcionalidad
En la geometría Euclídea el concepto de proporcionalidad está asociado con el concepto de semejanza entre triángulos. Esta relación subyace en el hecho que si tenemos garantizado que existen un número suficiente y conocido de valores y características comunes entre los dos triángulos, entonces podemos determinar los valores faltantes.
En esta pregunta tenemos dos triángulos rectángulos que son semejantes, por ende, proporcionales. Por la definición de proporcionalidad derivamos la siguiente expresión para la altura de la lámpara:
h/H = x/X (1)
Donde:
h - Estatura de Fernando, en metros. H - Altura de la lámpara, en metros.x - Longitud de base del triángulo menor, en metros.X - Longitud de base del triángulo mayor, en metros.A continuación, reemplazamos las variables conocidas y determinamos la altura de la lámpara:
1.80/H = 2/8
H = 4 · (1.80 m)
H = 7.20 m
Considerando la estatura de Fernando, la longitud de su sombra y la distancia con respecto a la lámpara, la altura de la lámpara encendida es de 7.20 metros. (Opción correcta: A)
Para aprender más sobre triángulos semejantes, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/21667752
Becca bikes for 1 hour and 5 minutes.
She returns from biking at half past seven.
What time did she start biking?
help i dnt want a D NOMORE
Answer: 6.25
Step-by-step explanation: Subtract 1hr 5mins from 7.30
brainlist for correct answer =]
Answer:
4
Step-by-step explanation:
The mode is the number that appears the most!!!!
Now lets solve :)
2, 2, 3, 3, 4, 4, 4, 4,
There are 2 2s.
There are 2 3s.
There are 4 4s.
The mode is 4!!! :)
Have an amazing day!!
Plese rate and mark brainliest!!
The mode of the data set is 4
The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set.
Mode in math can be defined as the number which appears the most often in a given data set.Therefore, the mode of the data set is 4
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KEYWORDS:value datathe most of(Need Help ASAP (Willing to give 10 points for 1 question)
Answer:
a) -2 and 4
b) function 2
Step-by-step explanation:
a)
rate of change is rise over run: change in y / change in x.
function 1:
- i will use first 2 pairs of data
- change in y: 5 - 3 = 2
- change in x: -2 - (-1) = -1
-rate of change = 2/-1 = -2
function 2:
- same idea, but find two points on the graph!
- (0,4) and (-1,0) for example! pick easy points
- change in y is 4. chabge in x is 1
- rate of change is 4
b)
function b has greatest rate of change. 4 > -2
A bag contains eight balls labeled 1 through 8. One ball will be randomly picked. What is the probability of picking an even number?
Write your answer as a fraction in simplest form?
PLEASEEEEEEEEEEEEEEEEEEEE HELP MEE YALL WITH ALL 4 QUESITONS
Answer:
Step-by-step explanation:
17. Domain is all real numbers because the equation has a y-value for all x-values as far as we can see with the information given.
18. Range is 3< y <8, because the equation only has values for x where y is between those numbers.
19. Range is 3> y >-∞ (negative infinity) because the parabola's vertex has a y-coordinate of 3 and the parabola goes on forever in the negative direction (as seen by the arrows).
20. Domain is -∞ < x < 4 because the parabola's vertex has an x-coordinate of 4 and goes on forever in the negative x direction.
Hope this helps! :)
REEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
im not writing all that lol
Step-by-step explanation:
So 1 would be 100%, 10/10 and 0 would be, 0/10 and 0% so for 50% for example would be 5/10, 0.5 and so on..
then just think of things that have a 100% chance and all the other percentages... example The sun rising tomorrow. and no chance 0% example the school flying away
Read the following description of a relationship:
The sea turtle at a zoo is 2 years older than the stingray.
Let s represent the stingray's age and t represent the turtle's age.
Complete the equation that represents the relationship between s and t.
t =
Answer:
t=2s
Step-by-step explanation:
This is saying that the turtles age is two times the stingrays age because no matter how old the stingray is, the turtle is 2 times older.
Answer: t=s+2
Step-by-step explanation:
The sea turtle is 2 years older than the stingray.
Sea turtle's age = 2 years + stingray's age.
t = s+2
Jimmy has a collection of baseball cards. He wants to make at most $50.00 by selling some of them for $3.00 per card. Which inequality best represents this goal?
\$3.00c\geq\$50.00
\$3.00c\leq\$50.00
\$3.00c=\$50.00
\$3.00c<\$50.00
\$3.00c>\$50.00
I don't know
Answer:
3c ≤ 50Step-by-step explanation:
Each card is sold by $3, the number of cards is c.
The total is 3c and it needs to be at most $50:
3c ≤ 50Is the correct inequality for this case
Let the no of cards be c
Rate per card=$3Now
The inequality is
3×c≤503c≤50Or
3.00c≤50.00helpppppppppppppp---------------000
Step-by-step explanation:
There are 3 cubes in the solid's length, 2 in its width, and 3 in its height. Therefore, the number of cubes = length * width * height = 3*2*3 = 18
The volume of a small cube , for a length l, is l³. The length is (1/3)m, so the volume is (1/3)³ = 1/27 m³
volume of solid = number of cubes * area of each cube = 1/27 * 18 = 18/27 m³. This is because we have to figure out the volume of 18 cubes together, and we can just add each cube to the volume 18 times for our answer
Find the arc length of the remaining portion if the bolded section was cut out of the circle. Round to the nearest tenth.
Answer:
69.6 ft
Step-by-step explanation:
The arc length can be found as a fraction of the circumference. That fraction is the ratio of the central angle measure to the measure for the whole circle.
__
Central angle of remaining arc:
360° -150° = 210°
Fraction of full circumference:
210°/360° = 7/12
The circumference of the circle is ...
C = 2πr = 2π(19 ft) = 38π ft.
Then the length of the remaining arc is ...
(7/12)(38π) ft ≈ 69.6 ft
A grandfather is six times as old as his grandson. If the grandfather was 45 when his grandson was born, how old is the grandson?
The following shape is 1 pair of parallel sides.
What is the area of the shape?
Calvin works two different jobs. He worked a total of 40 hours last week. Of the time he worked, 16 hours were spent at the
job where he makes $18 per hour. The rest of the time was spent at the job where he makes $20 per hour.
How much money did Calvin make from both jobs last week?
$288
b$480
$752
$768
Answer: 768
Step-by-step explanation:
24 times 20 =480 dollars
16 x18=288
480+288= 768
so yea D IS THE ANSWER!!!
hope thats helps :)
Find the gradients of lines a and b
Step-by-step explanation:
Gradiant is nothing but the Slope of the lines
A) 2
B) -1
I hope it helped you
A triangle has an angle that measures 70°. The other two angles are in a ratio of 2:9. What are the measures of those two angles?
The perimeter of an equilateral triangle with side length s is 3s. Leslie is using a wooden equilateral triangle with 15-inch sides as a stand for her newest sculpture.
What is the perimeter of the stand?
During a home renovation project, Mrs.
Landry is planning to enlarge the pantry
closet in her kitchen. Based on the space she
has she can increase the depth of the closet
by a factor of 3 but cannot change the width.
How much larger will the square footage
(area) of the new renovated pantry be
compared to the original?
Answer:
DURING A HOME #KACHA BADAM JAKE KAACHA BADAM HWADNA
Find the distance between the points (0, 0) and (4, 0).
02
04
O √8
Answer:
4 units
Step-by-step explanation:
(0, 0 ) and (4, 0 )
since the y- coordinates are equal then the distance between the points is the difference of the x- coordinates, that is
| 4 - 0 | = | 4 | = 4 or
| 0 - 4 | = | - 4 | = | 4 | = 4
Solve x² + 11x +18=0 by factoring.
A
x = 3 or x=6
B
x=-6 or x = -3
C
x = 2 or x = 9
D
x = -9 or x = -2