The angle of the elevation from the top of a 95 Todd building into a hot air balloon in the sky and 76° if the horizontal distance between the building in a horrible Luna is 354 feet find the height of a hot air balloon
Answer:
The height of the hot air balloon is 1514.54 feet approximately.
Step-by-step explanation:
Consider the provided information.
The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon
The figure is shown below:
Let the height of the balloon is AD, the height of the building is BC.
Draw a line BE parallel to CD.
Therefore, AD=x+95, BC=95 and BE=CD=354 ft
Now in triangle [tex]ABE[/tex].
[tex]\tan\theta=\dfrac{\text{Opp}}{\text{Adj}}[/tex]
[tex]\tan76^{\circ}=\dfrac{AE}{BE}[/tex]
[tex]AE\approx 4.01\times 354[/tex]
[tex]AE\approx 1419.54[/tex]
The height air balloon is 1419.54+95 =1514.54 ft
Hence, the height of the hot air balloon is 1514.54 feet approximately.
What is the coefficient of 7x?
I need to know ASAP
Answer:
The coefficient of 7x is 7
Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. List the elements in the set: A ∪ C Group of answer choices
Answer:
[tex]A \cup C=\left \{ \text{q, s, u, v, w, x, y, z} \right \}[/tex]
Step-by-step explanation:
Given: [tex]\text{U}=\left \{\text{q, r, s, t, u, v, w, x, y, z} \right \}[/tex], [tex]\text{A}=\left \{\text{q, s, u, w, y} \right \}[/tex], [tex]\text{B}=\left \{\text{q, s, y, z} \right \}[/tex],
[tex]\text{C}=\left \{\text{v, w, x, y, z} \right \}[/tex].
To find: The elements in the set [tex]A \cup C[/tex].
Solution:
We have,
[tex]\text{U}=\left \{\text{q, r, s, t, u, v, w, x, y, z} \right \}[/tex]
[tex]\text{A}=\left \{\text{q, s, u, w, y} \right \}[/tex]
[tex]\text{B}=\left \{\text{q, s, y, z} \right \}[/tex]
[tex]\text{C}=\left \{\text{v, w, x, y, z} \right \}[/tex]
Now, [tex]A \cup C[/tex] will contain all the elements in the set [tex]A[/tex] and all the elements in set [tex]C[/tex].
So, [tex]A \cup C=\left \{ \text{q, s, u, v, w, x, y, z} \right \}[/tex].
Hence, [tex]A \cup C=\left \{ \text{q, s, u, v, w, x, y, z} \right \}[/tex].
7. Se llevó a cabo una encuesta de mercado para calcular la proporción de amas de casa que reconocerían el nombre de la marca de un limpiador a partir de la forma y color del envase. De las 1 400 amas de casa de la muestra, 420 identificaron la marca por su nombre. a. Calcule el valor de la proporción de la población. b. Construya el intervalo de confianza de 99% de la proporción poblacional. c. Interprete sus conclusiones.
Answer:
a) El valor de la proporción de la población = 0.3
b) El intervalo de confianza de 99% de la proporción poblacional = [0.2685, 0.3315]
c) Interprete sus conclusiones.
De los cálculos anteriores, podemos concluir que tenemos un 99% de confianza en que el parámetro de población se encuentra entre 0.2685 y 0.3315 ".
Step-by-step explanation:
a) Halla el valor de la proporción de la población.
El valor de la proporción se calcula mediante la fórmula
p = x / n
donde x = 420
n = número de muestras = 1400
Proporción (p) = 420/1400
= 60/200 = 30/100 = 3/10
= 0.3
b) Construya el intervalo de confianza del 99% para la proporción de población.
La fórmula para el intervalo de confianza para la proporción de población =
p ± z × √p (1 - p) / n
p = 0.3
z = puntuación z para un intervalo de confianza del 99% = 2.576
n = 1400
Por lo tanto:
Intervalo de confianza del 99% = 0.3 ± 2.576 × √0.3(1 - 0.3) / 1400
= 0.3 ± 2.576 × √0.3× 0.7 / 1400
= 0.3 ± 2.576 × 0.0122474487
= 0.3 ± 0.0315494279
Intervalo de confianza del 99% =
0.3 - 0.0315494279
= 0.2684505721
Aproximadamente ≈ 0.2685
0.3 + 0.0315494279
= 0.3315494279
Aproximadamente ≈ 0.3315
Por lo tanto, el intervalo de confianza del 99% = [0.2685, 0.3315]
c) Interprete sus conclusiones.
De los cálculos anteriores, podemos concluir que tenemos un 99% de confianza en que el parámetro de población se encuentra entre 0.2685 y 0.3315 ".
Aubree invested $16,000 in an account paying an interest rate of 5.6% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $45,600?
Answer:
t=18.7
Step-by-step explanation:
After 19.2 year the account reach $45,600.
What is Interest?The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.
We have,
P =$16, 000
R= 5.6%
Future value = $45, 600.
Now, using
16,000 (1 + 5.6%[tex])^x[/tex] = 45,600
(1 + 5.6%[tex])^x[/tex] = 2.85
Taking log on both side we get
x log (1.056) = log (2.85)
x= 19.2
Thus, the time taken is 19.2 years.
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Simplify the expression:
-9n + -2n
Answer:
-11n
Step-by-step explanation:
You have to combine like terms
BRAINLIEST PLEASEE
The owner of the theater where the ticket price for an adult is $10 and the ticket price for a child is $7 wants to make at least $300 when a movie is shown. Choose the inequality that shows the numbers of tickets that must be sold.
A. 10x + 7y > 300
B. 10x + 7y < 300
C. 10x + 7y ≥ 300
D. 10x + 7y ≤ 300
Answer:
A
Step-by-step explanation:
Algebra Honors 1 please help Files are attachedv
50 points
Answer:
The system will be
f(x)=4.55x+40
g(x)=5.75x+10
Both company 1 and 2 charge $153.75 for cleaning 25 garment
Step-by-step explanation:
Equation 1
[tex]\frac{85.50-62.75}{10-5} =\frac{22.75}{5}=4.55[/tex]
y-62.75=4.55(x-5)
y-62.75=4.55x-22.75
c(n)=4.55x + 40
Equation 2
[tex]\frac{67.50-38.75}{10-5}=\frac{28.75}{5}=5.75[/tex]
y-38.75=5.75(x-5)
y-38.75=5.75x-28.75
c(n)=5.25x + 10
The system will be
f(x)=4.55x+40
g(x)=5.75x+10
30=1.2x
x=25
f(x) when x=25
f(x)=4.55x+40
f(25)=4.55(25)+40
f(25)=113.75+40
f(25)=153.75
Both company 1 and 2 charge $153.75 for cleaning 25 garments.
At a bicycle shop, all the bicycles are on sale for $25 off the regular price. If p represents the regular price in dollars of a bicycle, which expression gives the sale price in dollars? 25p – 25p p – 25 p + 25
Answer:
p - 25
Step-by-step explanation:
Given :
Discount = 25 dollars off
Regular price = p
Sale price in dollars :
Regular price - discount
p - 25
There are 25 adults and 43 kids at the park. What is the ratio of kids to adults at the park?
Answer:
43 : 25
Step-by-step explanation:
ratios are quantitative relationship between 2 numbers.
adults = 25
kids = 43
ratio of kids to adults at the park should be shown as
(kids) : (adults)
*these numbers cannot be simplified.
plug the numbers in:
43 : 25
Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 8 batches?
Answer:
24:8
Step-by-step explanation:
Given the following data;
Batch = eggs + sticks of butter
4 batches = 12:4
8 batches = 2 * 4 batches
Therefore, 8 batches = 2*(12:4)
8 batches = 24:8
Hence, the equivalent ratio Sierra would use if she wants to make 8 batches is 24 eggs to 8 sticks of butter.
Answer:
Step-by-step explanation:
the answer is 24:8
i need helpppppppppppppp
Answer:
Since this is a graph, I don't know how to help you sorry-
Its on your computer and I don't know how to put an answer down for you.
Enola works at a grocery store and earns $15.75/hour at the end of the month the pay check enola receive total $693 How many hours did she works this past month
Answer:
44 hours
Step-by-step explanation:
15.75 = 1 hour
693/15.75= she worked 44 hours
please give me a brainliest!!
the city of west park has population of 11,000 people. it’s population is decreasing at the rate of 4.5% each year. find the population in 25 years
9514 1404 393
Answer:
3479
Step-by-step explanation:
Each year, the population is multiplied by 1 - 4.5% = 0.955. After 25 years, the population will have been multiplied by 0.955^25 ≈ 0.316289. At that time, the population will be approximately ...
11000 · 0.316289 ≈ 3479
A football team moved -8 yards on one play, then lost another 4 yards on the next play. How many total yards did the football team move on those two plays?
Answer:
12 yards
Step-by-step explanation:
you subtract negative 8 and 4 and it gives you twelve yards of the play
HELP PLZZZZ like asap
Answer:
The answer is B
Step-by-step explanation:
✌
Answer:
B
Step-by-step explanation:
You can substitute the variables for the values!
7x = 21
3y = -6
2x = 6
y = -2
21 - (-6)
----------
6 + (-2)
27
----
4
Calvin bought 6 ties for $19.50 each and three shirts for $23.50 each. how much did he spend?
CAN SOMEONE PLEASE HELP ME???
Answer:
3
Step-by-step explanation:
The X values are the domain, and when x is -1, it says that y is 3, and y is the range.
Answer:
3
Step-by-step explanation:
Formula: y = -2x + 1
Write an equivalent expression for 8x - 5
Answer:
-5+8x
Step-by-step explanation:
10/4 = a/6
What does "a" equal?
Answer:
15
Step-by-step explanation:
10/4 simplified is
5/2 multiply this by 3
15/6
Step-by-step explanation:
I suggest you to use calculator for this to avoid careless mistakes
Hope this is correct and helpful
HAVE A GOOD DAY!
Ryan buys landscape supplies that total $179.92 before tax. The sales tax amount is $14.39. What percent sales tax did Ryan pay?
Answer:
Step-by-step explanation:
thx for the points
Tiana purchased a new dress at Kohl’s for $45.99. The sales tax in Maryland is 6%.
What was the total cost of Tiana’s dress
Answer:
Step-by-step explanation:
48.75
Solve for input of Function given outpu
Answer:
1
Step-by-step explanation:
Let's solve your equation step-by-step.
6=3x+3
Step 1: Flip the equation.
3x+3=6
Step 2: Subtract 3 from both sides.
3x+3−3=6−3
3x=3
Step 3 divide 3/3 = 1
x=1
Can someone help me please I need help
9514 1404 393
Answer:
1. yes
2. no
Step-by-step explanation:
We can label the equations [1] and [2] to make the transformations to the equivalent system easier to describe.
1. The equivalent system is [1] +[2] and 2×[1]. Both of these are described as allowed transformations.
[1] +[2] is (-x +2y) +(-3x +9y) = (10) +(-15) ⇒ -4x +11y = -5
2×[1] is 2(-x +2y) = 2(10) ⇒ -2x +4y = 20
These resulting equations match the ones proposed for the equivalent system.
yes, the systems are equivalent
__
2. The first equation of the proposed "equivalent" system is [1] +[2]. The second equation has no relation to the equations of the given system.
[1] +[2] = (-2x +3y) +(-11x -13y) = (14) +(-6) ⇒ -13x -10y = 8
no, the systems are not equivalent
(This is also shown in the attached graph. The original system is in red; the "equivalent" system is in green. Equivalent systems have the same solution. These do not.)
Sally rides her bike 164.45 miles in two weeks. She averaged 12.65 miles per hour each time she rode. How many hours did it take her to ride 164.45 miles?
Answer: It took 13 hours by her to ride 164.45 miles.
Step-by-step explanation:
Total distance = 164.45 miles
Average distance traveled = 12.65 miles per hour (speed)
[tex]Time = \dfrac{Distance}{Speed}[/tex]
[tex]Time = \dfrac{164.45}{12.65}=\dfrac{16445}{1265}\\\\=13\text{ hours}[/tex]
Hence, it took 13 hours by her to ride 164.45 miles.
Find the value of x and y.
Answer:
X=63 y=27
Step-by-step explanation:
X and 117 are on a straight line. All straight lines = 180 degrees.
180 - 117 = 63
90 - 63 = 27
another oneee thanks strangers
Answer:
*8
Step-by-step explanation:
6.75*8=54
Answer:
8
Step-by-step explanation:
..…..............…...
I need help. I have been searching for the answer but I cannot find the correct one. Elena rode her bike 2 miles in 10 minutes and 1 mile in 5. How many miles if it only took her 1 minute? Like how many miles would she have rode in 1 minute?
Answer:
0.2 miles
Step-by-step explanation:
From the above question:
2 miles = 10 minutes
Hence:
10 minutes = 2 miles
1 minute = x miles
Cross Multiply
10 minutes × x miles = 2 miles × 1 minute
x miles = 2 miles × 1 minute/10 minutes
x miles = 0.2 mile
Hence in 1 minute it would take her 0.2 miles
pls help no need for long explanations just a quick summary
Step-by-step explanation:
Angle FAB = Angle BHC = 48° (Z-angles)
By Exterior Angle Theorem,
Angle ABC = Angle BHC + Angle ECB.
=> Angle ABC = 48° + 18° = 66°.
If a number is tripled and then subtracted from 28, the result is 3 more than twice the number. What is the number?
A)x=5
B)x=31
C)x=6
D)x=4
Answer: x = 5
Step-by-step explanation:
Based on the information, the number is x= 5.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Consider that the number be x.
Given that;
Tripling the number we get = 3x.
On subtraction from 28, the equation will be: 28 - 3x.
Now forming the equation for result. Twice the number will be 2x. Result = 2x + 3.
Now equating these two equations as;
28 - 3x = 2x + 3
Rewriting the equation as;
3x + 2x = 28 - 3
Now, addition on Left Hand Side and subtraction on Right and Side
5x = 25
x = 25 ÷ 5
Performing division on Right Hand Side, we get;
x = 5
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