Answer:
La altura de la montaña es 2848,80 m.
Step-by-step explanation:
Un topógrafo usa un instrumento llamado teodolito para medir el ángulo de elevación entre el nivel del piso y la cumbre de una montaña. En un punto, se mide un ángulo de elevación de 41°.
La función trigonométrica tangente se define como:
[tex]tan (angulo)=\frac{cateto opuesto}{cateto adyacente}[/tex]
Entonces, siendo h altura de la montaña e y la distancia de la base de montaña a donde se realiza la medición, la distancia de esta primera observación del topógrafo entre el nivel del piso y la cumbre de una montaña es:
[tex]tan (41)=\frac{h}{x}[/tex] Ecuación (A)
Medio kilómetro más lejos de la base de la montaña, el ángulo de elevación medido es de 37°. Entonces:
[tex]tan (37)=\frac{h}{x+500m}[/tex] Ecuación (B)
Entonces, despejando h de la ecuación (A):
h= tan(41)* x
Reemplazando la expresión en la ecuación (B):
[tex]tan (37)=\frac{tan(41)*x}{x+500m}[/tex]
Resolviendo:
tan(37)*(x+500)= tan(41)* x
0,754*( X +500) = 0,869*X
0,754*X + 377 = 0,869*X
377= 0,869*X -0,754*X
377= 0,115*x
377÷0.115= x
x= 3278,26 m
Entonces, reemplazando en la expresión h= tan(41)* x:
h= tan(41)* 3278,26 m
Resolviendo:
h = 0,869 *3278.26 m
h = 2848,80 m
La altura de la montaña es 2848,80 m.
En la imagen adjunta se puede observar una representación gráfica de las medidas utilizadas en el problema.
The sales tax rate is 4%. If Xavier buys a balance beam priced at $687 ,how much tax will he pay?
Answer:
$27.48
Step-by-step explanation:
687*0.04 which is $27.48
Hope this helps plz hit the crown :D
Answer:
27.48
Step-by-step explanation:
687 x .04 = 27.48
How many decimal places are in the product of the expression below?
25.6 times 14.2
one
two
three
four
Answer:
B. Two
I did this on Edge
what is the interest earned on a $30,000 deposit for six months at 1.5% interest compounded continuously
Click on the Pic I sent you with the answer to your question hopefully my answer helps you out I tried my best to solve it for you
The interest earned on a $30,000 deposit for six months at 1.5% interest compounded continuously will be $225.846.
What is compound interest?Compound interest is applicable when there will be a change in the principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
The continuously compound interest formula is given by
P = P₀[tex]e^{rt}[/tex] where r is the annual interest rate and t is the time period in years.
So,
P₀ = 30000
r = 1.5% = 0.015
t = 6 months = 0.5 year
So,
P = 30000[tex]e^{0.015(0.5)}[/tex]
P = 30000 × 1.007528195
P = $30225.84586
So, interest
I = 30225.84586 - 30000 = $225.8486
Hence " The interest earned on a $30,000 deposit for six months at 1.5% interest compounded continuously will be $225.846".
For more information about compound interest,
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Add the equation u-v/8v + 6u-3v/8v
Answer:
7u-4v/8
Step-by-step explanation:
u+6u=7u
-v+(-3v)=-v-3v=-4v
7u-4u/8
Which graph represents a system of equations with one solution?
This graph represent a system of equation with one solution. The blue point is the solution.
Hope this helps ^◇^
20 points for the person who helps answer all of them plz
[tex]\frac{6}{32} x \frac{100}{1} =0.1875 x 100= 18.75%[/tex]given:
Snack type number
of items sold
fruit cup 8
veggie sticks 6
chips 14
water 4
Total number of items sold = 32
To find the percentage of each snack type, use the formula below:
[tex]\frac{number of each snack type}{ total sold} x \frac{100}{1}[/tex]
a) Percentage for fruit cup:
[tex]\frac{8}{32} x \frac{100}{1} =0.25 x 100 =25%[/tex]%
b) percentage of veggie sticks:
[tex]\frac{6}{32} x \frac{100}{1} =0.1875 x 100=18.75 %[/tex]%
c) percentage of chips:
[tex]\frac{14}{32} x \frac{100}{1} = 0.4375 x 100= 43.75%[/tex]%
d) percentage of water:
[tex]\frac{4}{32} x \frac{100}{1 } = 0.125 x 100=12.5[/tex]%
Answer:
Percentage of fruit cup = 25%
Percentage of veggie sticks= 18.75%
Percentage of chips= 43.75%
Percentage of water= 12.5%
PLEASE MARK ME AS BRAINLIEST
Your total bill at the resturant was $28.95 How much would a 20% tip be? The bill is for you and a friend. You both agreed upon a 20% tip and to split the bill. How much should each of you pay?
Answer:
Tip Total: $ 5.79
Tip Each Person: $ 2.90
Total (Bill + Tip): $ 34.74
Total Each Person: $ 17.37
Step-by-step explanation:
hope that helps homie
Three friends will need to paint 240 baskets for their art class project.
George will paint 2 over 5 of the baskets. Tyler will paint 3 over 8 of the baskets. Lance will paint the remaining baskets.
How many baskets will Lance need to paint?
Answer:
222
Step-by-step explanation:
i dont know i tried my best i really didnt understand it
guys Im getting a tattoo I'm 13 tho..but should I get butterflies or hearts? let me know assasp
Look at the pic attached
Answer:
x= -8 BDC= 68
EXPLANATION:
They create a straight angle which is always equal to 180. this means you must add both equations and set them equal to 180.
PLEASE HELP ME. please explain your answer as well
Answer:
a1=6
a2=15
a3=24
a4=33
Mark AS BRAINLIEST Answer
Which of the following equations is equivalent to 2(3x - 1) = 3 - (- 2 - x)?
1. 6x - 2 = 1 - 4
2. 6x - 1 = 1 + x
3. 6x - 2 = 5 + x
4. 6x - 1 = 5 - x
Answer:
It would be 2. 6x - 1 = 1 + x
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
9x+16y=5 solve for y
Answer:
its y=-4+9x/4
John walks m miles each week. Marie’s distance can be found by using the expression : 3m + ½
If John walks 7 miles in one week, how many miles does Marie walk?
Answer:
21.5 Miles or 21 ½ Miles
Step-by-step explanation:
Plug in 7 as m to 3m + ½.
Then, I get 3(7) + ½.
That concludes to 21 + ½
Add the ".5" or "½" at the end
So, answer is you get is 21.5 of 21 ½
PLEASE HELP QUESTION: What is the midpoint of the line containing the points X(4,-1) and Y(-4,1)?
CHOISES:
A) (8,-2)
B) (square root symbol)68
C) There is no midpoint.
D) (0,0)
Answer:
( D ) , ( 0 , 0 )
Answer:
D
Step-by-step explanation:
The drawing below shows 3 parking lots that enclose a shopping mall shaped like a right triangle. If Lot A’s perimeter is 40 miles and Lot B’s perimeter is 24 miles, what is the perimeter of Lot C?
Answer:
40 miles because they are da same size
Step-by-step explanation:
The perimeter of lot C is 46.64 miles
Lot C is a square, hence the perimeter of lot C with a length of each side as a miles is:
Perimeter = 4 * length = 4a
40 = 4a
a = 10 miles
Lot B is a square, hence the perimeter of lot B with a length of each side as b miles is:
Perimeter = 4 * length = 4b
24 = 4b
b = 6 miles
Let c represent the length of lot A,, since a, b, c form a right angle triangle. Using Pythagoras theorem:
c² = a² + b²
c² = 10² + 6²
c² = 136
c = 11.66 miles
Perimeter of lot C = 4 * c = 4 * 11.66 = 46.64 miles
The perimeter of lot C is 46.64 miles
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what polynomial function has the zeros -3,1,5
Answer:
x³ - 3 x² - 13 x + 15 = 0
Step-by-step explanation:
Basically you can create three factors like this:
(x+3)(x-1)(x-5)=0
That will each represent one zero.
Work it out and you get x³ - 3 x² - 13 x + 15 = 0
HELPpPppPp ASAP I rlly need help I’m timeddddd frrr I will give u a Brainly thing just help and show your workkkk
Answer:
1
I hope this helps! Do you need help on anything else?
Okay here are some pictures of the work, I can't do fractions on this. :)
Work out the volume and surface area of the given cuboid. (3 points) (13
2m
4m
8m
Plzzzzzz helppppppppop i will mark you as a brainliest
I need the answers please !
Answer:
m<5 = 133°
m<8 = 47°
Step-by-step explanation:
if <2 = 47°, and <5 is supplementary to <2, that means that together they both have to equal 180°. So, to get the measure of <5, you need to do 180 - 47 to get <5 = 133°.
Now, <5 (133°) is supplementary to <8, so they both have to equal 180° together. So, you must do 180 - 133 to get <8 = 47°. Or, another way to get <8 is to notice that <2 and <8 are alternate interior angles, which means they equal the same amount. So if <2 = 47°, then so does <8.
PLS HELP ME OUT WILL GIVE BRAINLIESTS
Answer:
-2547,-2546
Step-by-step explanation:
:)
a water spinkler sends water out in a circular pattern how large is the watered area if the watering pattern is 12 ft
Answer:
The number of feet away from the sprinkler where it could spread water would be the radius of the circle in which it is spraying.
The Area of a circle is
πr2=808.64
(3.14)r2=808.64
Divide both sides by 3.14
r2=257.5286624
Write this percentage as a fraction in its simplest form.
46%
Answer:
23/50
Step-by-step explanation:
46% is the same as 46/100 that can be simplified to 23/50
The percentage 46% as a fraction in its simplest form is 23/50.
The given fraction is 46%.
Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
The percentage can be written in fraction by dividing the number by 100.
Here, 46% = 46/100
= 23/50
Therefore, the percentage 46% as a fraction in its simplest form is 23/50.
To learn more about the percentage visit:
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A 3.0 kg book sits on a very high shelf 4.5 meters above the ground. Calculate the potential energy of the book.
x^3 = 0.008
solve for x
Answer:
x= 0.2
Step-by-step explanation:
Evaluate f(x) = 2x +3 for f(4)
a-11
b-8
c-4
d-3
Answer:
the answer is a-11
Step-by-step explanation:
f(x)=2x+3
f(4)=2(4)+3
f(4)=8+3
f(4)=11
if a fat man come to the drive thru give him his burger not your phone number
Thats facts
love you guys
Answer:
True
Step-by-step explanation:
Which of the following could represent the side lengths of a triangle? Check all that apply.
Answer:
a.) B.) and C.)
Step-by-step explanation:
How do I graph the following quadratic function ?
Answer:
d
Step-by-step explanation:
1 Fie mulțimea de numere reale: A={5;-3,1(7);-3; 2,8; 213; -49}.
Determinați mulțimea AZ.
Determinați mulțimea A(R-Q).
Ordonați crescător elementele mulțimii A.
Answer:
j is the answer
Step-by-step explanation:
thats correct