By trigonometric solution of triangles we conclude that the actor is staying at the balcony of the second floor.
In which floor of the hotel does an actor stay in a balcony?
This problem presents an application of trigonometric resolution of triangles to find the floor where the actor is in terms of the height of the building. Based on the picture seen in the image, we find that all known dimensions of the triangle , three angles and a side, are:
A = 140°, B = 30°, C = 10°, p = 6 m
First, we must find the length of side AP by law of sines:
b / sin 30° = 6 / sin 10°
b = 6 × sin 30° / sin 10°
b ≈ 17.276 m
Second, the height of the building is found by trigonometric functions:
h = (17.276 m) · sin 40°
h ≈ 11.105 m
Therefore, the floor where the actor stays is:
3.8 + 3 · n = 11.105
3 · n = 7.305
n = 2.435
n = 2
By trigonometric solution of triangles we conclude that the actor is staying at the balcony of the second floor.
To learn more on trigonometric functions: https://brainly.com/question/14746686
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You are applying for an 80/20 mortgage to buy a house costing $100,000.
The first (80%) mortgage has an interest rate of 4.75%, and the second (20%)
mortgage has an interest rate of 7.525%. Both the first mortgage and the
second mortgage are 30-year fixed-rate mortgages. What will the total
amount of the mortgage be?
Answer:
$200,703.60
Step-by-step explanation:
this is the is the answer, i used a tvm solver
A bag of garden soil weighs 38 pounds and holds 4 cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags in cubic yards.
Answer:
The weight of 15 bags is 258.21 kilograms.
The volume of 15 bags is 2.222 cubic yards.
Step-by-step explanation:
Dimensionally speaking, a pound equals 0.453 kilograms and a cubic yard equals 27 cubic feet. We proceed to calculate the weight and the volume of 15 bags by following conversions:
Weight
[tex]x = 15\,bags \times \frac{38\,lb}{1\,bag}\times \frac{0.453\,kg}{1\,lb}[/tex]
[tex]x = 258.21\,kg[/tex]
The weight of 15 bags is 258.21 kilograms.
Volume
[tex]x = 15\,bags \times \frac{4\,ft^{3}}{1\,bag} \times \frac{1\,yd^{3}}{27\,ft^{3}}[/tex]
[tex]x = 2.222\,yd^{3}[/tex]
The volume of 15 bags is 2.222 cubic yards.
two sixth times five
Answer:
1 4/6
Step-by-step explanation:Put 5 into a fraction (5/1) then time 5/1 times 2/6 and get 10/6 then covert it into a mixed number 1 4/6
Anna and josh are putting up lights for a party. For every 4 blue lights they put up 2 red lights. If they put up 120 lights. How many are blue?
Answer:
80 blue
Step-by-step explanation:
r=red
b=blue
4b+2r=6 lights in one light cluster
120/6=20 clusters
20 clusters of 4 blue lights =80
please show work and solve (3x^2) (-2x^4)
Answer:
[tex]-6x^6[/tex]
Step-by-step explanation:
We have the expression (3x^2)(-2x^4) and are being asked to solve.
(3x^2)(-2x^4)
When we have this type of question with exponents, it may seem easier to try and solve/simplify the exponents, but here's an easier way, add the exponents and multiply the constant numbers.
Therefore :
2 + 4 are the exponents
^6
and 3 * -2 are the constant numbers
-6
-6x^6
[tex]-6x^6[/tex]
19 cm
6 cm
30 cm
The container is 2/3 full of water.
A cup holds 275 ml of water.
What is the greatest number of cups that can be completely filled with water from
the container? (4)
Answer:
A total of 8 (eight) completely filled cups.
Step-by-step explanation:
Recall that 1 milliliter is the SAME as 1 cubic cm. Therefore, the 275 ml cup holds exactly 275 cm^3 of water.
Now calculate the volume of water in the container. Since the container measures 19 cm x 6 cm x 30 cm, its total volume is:
Volume = 19 x 6 x 30 = 3420 cm^3
The amount of water in it fills 2/3 of its volume, then:
amount of water = 2/3 (3420) = 2280 cm^3
Now to find how many cups can be filled with such amount of water, we do the division:
2280 / 275 = 8.29
Then the maximum number of completely filled cups is: 8
3y - 8 = -3(4 - 2x)
Step 2 of 2: Find the equation of the line which passes through the point (- 12. -3) and is parallel to the given line Express
your answer in slope-intercept form. Simplify your answer.
Answer:
y=2x+21
Step-by-step explanation:
Look at attached pictures for further explanation
I need help plzzzzzzzzzz
Answer: The perimeter of the triangle is 33b - 8
Step-by-step explanation:
5. Round 16.975 to the nearest hundredths
A 16.10
B. 16.98 C. 16.20 D. 16.97
6. Encircle the letter of the number that rounds off to 10.85
A 10.859
B. 10.857 C. 10.851 D. 10.856
7. Which of the following order numbers from greatest to least?
a 3.756
37.56
375.6 0.3756
b. 0.2468
0.2486 0.2648 0.2846
C. 11.010
11.011 11.0110 1.1101
d. 2.86
2.75
2.68
2.56
Answer:
5. B
6. C
7. D
Step-by-step explanation:
hope this is correct and helps hehe
y = 5x – 22
3x + 2y = 34
Answer:
y = 5x – 22
3x + 2y = 34
Step-by-step explanation:
Answer:
x = 6, y = 8
Step-by-step explanation:
[tex]y=5x-22\\3x+2y=34\\\\3x + 2(5x-22)=34\\3x + 10x - 44 = 34\\13x - 44 = 34\\13x = 78\\x = 6\\\\y = 5*6-22\\y = 30-22\\y = 8[/tex]
Subtract. 28.5−2.7 help
Answer:
25.8
Step-by-step explanation:
HELP PLEASE 20 POINTS
Describe what a solution is for a system of equations and explain how this relates to setting the equations equal to each other?
Sorry, can you tell me in Spanish, I don't understand much English, I really want to help you, can you do what I told you? Thanks
y + 51 = 99, what is y?
Answer:
y + 51=99
replace the y with 99
then it becomes 99 - 51
y=48
Select the graph that best represents the given table of values.
x f(x)
6 4
2 8
10 0
witch graph is right
1 2 3 or 4
Answer:
The first image,
Step-by-step explanation: Hope this helps!
A 2-liter bottle is filled completely with water from a faucet in 10 seconds. How much water is filled into the bottle each second?
Pls who ever sees this (can you pls respond I’m desperate )
Answer:
2 L/10 sec is equal to the amount of water per second. which would be 0.2 liters per second
A line is represented by the equation y = 3x – 7. Which statement about the line is TRUE?
A.
This line is parallel to the line whose equation is y = 2x – 7.
B.
The line has a positive slope.
C.
The y-intercept is 7.
D.
The point (1, 4) lies on the line.
Step-by-step explanation:
alignment in represented by erosion by which a statement both lights it's true that this line is a parallel that two parallel whose the equation is do you audio will be that a googlmy answer if two line was station then represented by equation allowed is a representation equation the by represented is a
which expression represents the product of 83 and x
83+x
83÷x
83x
83-x
Shade 12 squares on the 4-by-10 grid.
What percent to is shaded?
On a 10 by 4 grid, there would be 40 squares. If you were to shade 12 of those squares, it can be shown as the fraction:
[tex]\frac{12}{40}[/tex]
12/40 = 0.3
to get a percentage, we would have to multiply by 100
30% is to be shaded
Answer: 30%
Step-by-step explanation:
Total number of squares: 4*10=40
Shaded squares: 12
Fraction of shaded squares: 12/40
If you make the denominator 100, then the numerator is the percentage:
[tex]\frac{12}{40} * \frac{2.5}{2.5}=\frac{30}{100}[/tex]
Si un jarrón tíene 80 cm de altura ¿ cuantos milímetros mida
Si tiene 80 cm de altura mier 800 milímetros de altura
Simplify to create an equivalent expression.
2(−2−4p)+2(−2p−1)
Choose 1 answer:
(Choice A)
A
-12p-6
(Choice B)
B
-10p-6
(Choice C)
C
-12p+6
(Choice D)
D
12p-6
Answer:
choice A
Step-by-step explanation:
-8p-4p - 4 - 2
= -12p-6
Find the sale price of a $70 item after a 20% discount.
Answer:
$56
ez
Step-by-step explanation:
Solve the system below"
W
y = - 3x + 17
y = -x + 3
O (7.4)
O (-7,-4)
O (7.-4)
Answer:
I think its (7,-4)
Step-by-step explanation:
solve x:
plug in y
-x+3=-3x+17
solve
x=7
solve y:
plug in what you got for x
y=-3(7)+17
solve
y=-4
What are these negative fractions converted to positive ones (I suck at math so I need an explanation): -5/6, -7 3/8, -3/11
Answer:
multiply each by -1
-5/6 x -1 = 5/6
-7 3/8 x -1 = 7 3/8
-3/11 x -1 = 3/11
Step-by-step explanation:
an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.
Answer:
Height, h = 21 millimeters.
Step-by-step explanation:
Given the following data;
Volume = 8792mm³
Radius = 20 mm
To find the height;
We know that the shape of an anthill is conical in nature.
Mathematically, the volume of a cone is given by the formula;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
Where;
V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.Substituting into the equation, we have;
[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]
[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]
[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]
[tex] 8792 = 418.93*h [/tex]
[tex] Height, h = \frac {8792}{418.93}[/tex]
Height, h = 20.99 ≈ 21 mm.
Therefore, the height of the cone is 21 millimeters.
15 POINTS! GIVE REAL ANSWERS PLEASE. HELP WOULD BE MUCH APPRECIATED THANKS!
Which algebraic expression does this model represent?
*IMAGE LINKED*
4x+16
4(x+3)
x+34
-4(x+3)
Answer:
It would be 4(X + 3)
Step-by-step explanation:
There are 4 Xs and 12 ones, so the equation is 4X + 12 or 4(X + 3).
3. Find the surface area of the cylinder. (1 point)
2009.6 in
401.9 in
803.8 in
602.9 in
Answer:
Option (3)
Step-by-step explanation:
Surface area of a cylinder is given by the formula,
Surface area = 2πr(r + h)
Here, r = radius of the circular surfaces
h = Height of the cylinder
From the figure attached,
r = 8 in.
h = 8 in.
Therefore, Surface area of the cylinder = 2π(8)(8 + 8)
= 256π
= 803.8 in² [If π = 3.14]
Option (3) will be the correct option.
13. simplify and factor this expression; 12x+18y+18x D NEED HELP ASAP
Answer:
30x+18y
Step-by-step explanation:
12x+18y+18x
combine like terms
30x+18y
Answer:
6 ( 5x + 3y ) did the calculations, just simplified
Simplify: 7^6 divided 7^2
Answer:
The answer is 1/3
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
~Hoped this helped~
operación 1: (6+(4*12)/12-2)+5
Answer:
13Step-by-step explanation:
6+ (4)(12) /12 −2+5
=6+ 48 /12 −2+5
=6+4−2+5
=10−2+5
=8+5
=13
determine the amount of an investment if $500 is invested at an interest rate of 4.25% compounded quarterly for 12 years