Answer:
[tex] \tan(53) = \frac{x}{50} \\ x = \tan(53) \times 50 \\ x = 66.35 \: feet[/tex]
Step-by-step explanation:
I hope that is useful for you :)
The height of the tree with angle of elevation of 53⁰ is 66 ft.
What is Angle of Elevation?The angle of elevation is the angle between the horizontal line of sight and the object.
Here, Let the height of the tree be x ft.
The angle of elevation = 53⁰
Distance from ground = 50 ft.
According to question,
tan 53⁰ = x/50
x = 50 × tan 53⁰
x = 50 X 1.32
x = 66 ft.
Thus, the height of the tree with angle of elevation of 53⁰ is 66 ft.
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Help plz need answers less than 10 minutes
Answer:
the answer wouldbe 8585434930.123
Step-by-step explanation:
Find the area of this shape
Answer:
433 m²
Step-by-step explanation:
Find the side length of the square first.
Apply Pythagoras Theorem on 1 of the triangles on the right, to find its remaining side.
[tex] \sqrt{ {12}^{2} - {9.6}^{2} } [/tex]
=[tex] \sqrt{51.84} [/tex]
= 7.2 m
Therefore the side of the square is
7.2 ×2
= 14.4 m
The area of the square
= 14.4²
= 207.36 m²
You are able to find the area if of the 2 triangles.
(7.2 × 9.6)÷2 ×2
= 69.12 m²
The height of the pentagon
= 25.4 - 7.2
= 18.2 m
The area of the pentagon
= (10+7.2) × 18.2 ÷ 2
= 156.52 m²
Add up the areas of the 3 polygons.
The area of the shape
= 207.36 + 69.12 + 156.52
= 433 m²
7/6 written as a mixed number
Answer:
1 1/6
Step-by-step explanation:
A mixed number is a proper fraction.
Answer:
[tex]1\frac{1}{6}[/tex]
Step-by-step explanation:
We are given the fraction of [tex]\frac{7}{6}[/tex].
There are enough parts to make one whole, with one remaining.
Six sixths for the whole, the fraction would be one-sixth.
[tex]\frac{7}{6}=1\frac{1}{6}[/tex]
Hope this helps.
Elizabeth is going to invest $480 and leave it in an account for 8 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Elizabeth to end up with $670?
Answer:
4.2
Step-by-step explanation:
took a bullet for the team
Elizabeth would need an interest rate of 4.25% to make a profit of $670, to the closest hundredth of a percent.
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.
Given, Elizabeth is going to invest $480 and leave it in an account for 8 years.
from the formula of compound interest
A = P(1 + r/n) ^nt
in our case,
A =670
P = 480
t = 8
Thus,
670 = 480(1 + r)^8
r = 4.25%
Therefore, an interest rate, to the nearest tenth of a percent, would be 4.25% required in order for Elizabeth to end up with $670
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Suppose the depth of the tide in a certain harbor can be modeled by y = 23 - 5 cos (6.), where y is the water depth in fect
and t is the time in hours. Consider a day in which t= 0 represents 12:00 midnight. For that day, when are high tide and
low tide and what is the depth of each?
a. high tide at 6:00 a.m. and 6:00 p.m., depth 28 ft
low tide at 12:00 noon and 12:00 midnight, depth 18 ft
b. high tide at 6:00 a.m. and 6:00 p.m., depth 23 ft
low tide at 12:00 noon and 12:00 midnight, depth 5 ft
c. high tide at 12:00 noon and 12:00 midnight, depth 28 ft
low tide at 6:00 a.m. and 6:00p.m., depth 18 ft
d. high tide at 12:00 noon, depth 23 ft
low tide at 6:00 a.m., depth 5 ft
High tide at 6:00 a.m. and 6:00 p.m., depth 23 ft low tide at 12:00 noon and 12:00 midnight, depth 5 ft. Therefore, option B is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given trigonometric function is y=23-5cos(πt/6).
The given equation is y=23-5cos(πt/6), where y is the water depth in feet and t is the time in hours.
To find the high and low tide depths, we need to find the maximum and minimum values of y.
The maximum value of y is obtained when cos(πt/6) = -1, which gives y = 23 - 5(-1) = 28 ft.
The minimum value of y is obtained when cos(πt/6) = 1, which gives y = 23 - 5(1) = 18 ft.
To find the time when high and low tide occur, we need to find the values of t when cos(πt/6) equals -1 and 1 respectively.
When cos(πt/6) = -1, we get πt/6 = 3π/2, which gives t = 12 hours.
When cos(πt/6) = 1, we get πt/6 = 0, which gives t = 0 hours.
Since t = 0 represents 12:00 midnight, we can conclude that high tide will occur at 6:00 a.m. and 6:00 p.m., with a depth of 28 ft, and low tide will occur at 12:00 noon and 12:00 midnight, with a depth of 18 ft.
Therefore, option B is the correct answer.
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help and pls get it right
Answer:
V= 32Step-by-step explanation:
Multiply all lengths and the answer will be your volume.
2 x 2 x 8 = 32
Answer:
32 in ^3
Step-by-step explanation:
What is the definition of the slope of a line?
Plz help i have been asking this question too much
Answer:
6
Step-by-step explanation:
1/6 of 36 is 6
2/3 of 36 is 24
6+24=30
36-30=6
<3
Answer:
if u search your question on brainly you'll see alot of answers! here is one of them!!!
Show that f(x) = x^2 and g(x) = 1000x^2 grow at the same rate.
Answer:
You do not use the first derivative to find the rate you need to take the limit ratio as x approaches positive infinity. We use positive and not negative infinity because our function is increasing and not decreasing. The ratio ends up being 1/1000 meaning that this a finite non zero number. Which proves that they grow at the same rate
Step-by-step explanation:
) Factorize fully
1. 2x^2yz-32x^2y^3z
Answer:
2x²yz(1 - 4y)(1 + 4y)
Step-by-step explanation:
Given
2x²yz - 32x²y³z ← factor out 2x²yz from each term
= 2x²yz(1 - 16y²) ← difference of squares
= 2x²yz(1 - 4y)(1 + 4y)
Divide. (x^3 – 2x – 3) ÷ (x + 3)
x
2
−
3
x
+
7
−
24
x
+
3
Step-by-step explanation: brainly plz
Answer:
[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]
70/5.2 + 16-1 helppppp
Answer:
28.4615384615
28.46
Step-by-step explanation:
Answer:
28.46, if this help please subscribe to amiredagoat Yt i wanna change the world.
Step-by-step explanation:
im quite behind and i dont know how to do this.. thank you
Answer:
455 ( I think )
Step-by-step explanation:
Lets start with the red shape.
The triangle on top is 5x3, and the equation for a triangle is base•height•1/2
So each triangle equals 7.5, as 15/2=7.5. Remember there are 2 triangles so the total of both triangles is 15.
The front side of the red shape is 6x5, which equals 30.
Same with the back.
The side though, is 3x6, which equals 18.
So 15 (both triangles)+60 (the front and back of the shape)+18 (the side)= 93
The red shape is 93 inches cubed.
The green shape is a rectangular prism.
The sides, are both 3x7, which equals 21. Remember there are 2 sides so together they equal 42.
The next part is 3x16= 48. There are 2 of these so it equals 96.
The top and bottom is 7x16=112, which is 224.
42 (sides) + 96 (front and back) + 224 (top and bottom)= 362
The green shape is 362 inches cubed.
362+93=455 inches cubed as a total
(I think)
A pizza with a diameter of 13 inches is cu to to 12 equal slices.
Jayden 44.2433333 inches squared
Carson 55.3041665 inches squared
Step-by-step explanation:
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
In the first one answer is r²
In second one answer is 3
Step-by-step explanation:
Yes it is Algebra with different powers
In first one (6r4+4r) +(__- 2r4 + 3r) = 4r4 + r2 + 7r
Like terms are added:
6r^4- 2r^4 + 4r + 3r +____ = 4r^4 + r2+ 7r
4r^4+7r +___ = 4r^4 + r^2 + 7r
Therefore ___ = r^2
In second one:
(__ -8x - x^2)-(4x^2 -7 +6x) = -5x^2 +14x +10
Open the brackets
__ -8x - x^2-4x^2 +7 -6x = -5x^2 +14x +10
Add like terms
__ -14x -5x^2 + 7= -5x^2 +14x +10
Therefore
___ + 7 = 10
___ = 10 -7 = 3
What is the absolute maximum or minimum of f(x) = 3x^2-5x-9
Answer:
Absolute minimum / vertex = (5/6,-133/12)
Step-by-step explanation:
Since a is positive, then the absolute maximum is ∞. The absolute minimum would be the vertex of the parabola, meaning x=-b/2a=-(-5)/2(3)=5/6, and y=3(5/6)^2-5(5/6)-9 = -133/12. Therefore, your absolute minimum / vertex is (5/6,-133/12)
A car wash charges customers $6 per wash. It costs the car wash company $2 per wash for materials and a base cost of $80. How many car washes are necessary for the car company to make $60 in profit?
Answer:
35 Car Washes
Step-by-step explanation:
Data:-
Sale Charges per wash = $6/-
Cost per wash = $2/-
Base cost = $80/-
Required Profit = $60/-
Required:-
No of Cash Washes to reach the required profit = ?
Solution:-
Sales - VC = Contribution Margin
$6 - $2 = $4 per unit
Required Sales in Unit = Fixed Cost + Target Profit / Contribution margin per unit
= $80 + $60 / $4
= 35 Units
Find the lateral surface area of the prism. 1.5ft 3ft 4ft
Answer:
ammmm walang lumabas
Step-by-step explanation:
sorry talaga po sa susunod nalang
5.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
A. 1/150 dollars per day; the cost is $1 for 150 days.
B. 25/1 dollars per day; the cost is $25 for each day.
C. 1/25 dollars per day; the cost is $25 for each day.
D. 75/1 dollars per day; the cost is $75 for each day.
Answer:
B
Step-by-step explanation:
75 divided by 3 = 25
so 25 dollars each day
Answer:
B. 25/1 dollars per day; the cost is $25 for each day.
Step-by-step explanation:
What is the solution of /x+ 12 - X?
a). X=-3
b) x=4
c) x=-3 or x = 4
d) no solution
Answer:
???
Step-by-step explanation:
sorry can you format it?
What is the advantage of valence number?
Answer:
The presence of many unpaired electrons in the valence shell of an atom enables it to form multiple bonds with other atoms. The paired electrons present in the valence shell do not take participate in the formation of chemical bonds as per the valence bond theory.
Is x+y is an algebraic expression?
1. Yes
2. No
3. Cannot be identified
4. None of these
I will mark the brainiest for the correct answer!!
Find each value. ORDER MATTERS!
a) P(12, 5) *read as 12 items being taken 5 at a time*
=?
b) P(8, 8)
=?
(HINT: Think 8 x 7 x 6 x 5....etc.)
Answer:
P(12, 5) = 95040
P(8,8) = 40320
PLS help plssss 30 points plssss and how how u know it’s math plssssss helppppp plsssss
Answer:
Complementary angles sum to 90°
x + 73° = 90°x = 90° - 73°x = 17°30% of the 90 students in sixth grade are in the drama club. How many sixth graders are in the drama club?
Answer:
27
Step-by-step explanation:
Multiply 90 by 0.3 and you have your answer
Find the area of the circle from the given diameter.
d= 4 ft
a 11.4 ft2
b 12.56 ft2
C 10.81 ft2
d 14.98 ft2
Answer:
B is our answer 12.56
When finding area for circles we do
radius x radius x pi
Since we don't have the radius in the problem we have to figure it out but it wont be so hard knowing that the radius is half of the diameter so 4 ÷ 2 = 2 so 2 is our radius now we need tp square it in easier words multiply by itself so
2 x 2 = 4 then we just do 4 x pi!
So 4 x 3.14 = 12.56 So our answer is 12.56
Hope this helps!
Simplify. Evaluate the numerical bases. 2^3 x ^3y ^-2 . 2^-5 xy^2
A. 4x^4
B. x^4 /4
C. x^4 / 2y^4
D. 2x^4 / y^4
9514 1404 393
Answer:
B. x^4/4
Step-by-step explanation:
[tex]2^3x^3y^{-2}\cdot 2^{-5}xy^2=2^{3-5}x^{3+1}y^{-2+2}=2^{-2}x^4\\\\=\boxed{\dfrac{x^4}{4}}[/tex]
_____
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
Help pls and no links
Answer:
y > 4x - 2
Step-by-step explanation:
The basic format of a line in slope-intercept form is,
[tex]y=mx+b[/tex]
This format undergoes no change when one implements it for the use of a two-variable inequality.
The parameter (m) represents the slope of a line, this can be found by using the formula ([tex]\frac{rise}{run}[/tex]). Traditionally, one would use a formula to find the slope of a line that is the following, ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex]). However, in the given situation, one can simply count the number of boxes from one point with respect to the x-axis to another, and thus get (4).
The parameter (b) represents the point in which the graph intersects the y-axis, one can see that this point is (-2).
Since the line is dotted, one would only use the greater than symbol, not the greater than or equal-too-symbol.
Finally, since the area above the line is shaded, therefore one knows that it is (y) is greater than.
what is summer academy help fr fr ☝️
Answer:
Summer school (or summer university) is a school, or a program generally sponsored by a school or a school district, or provided by a private company, that provides lessons and activities during the summer vacation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
HELP ME NOWWWWWW. thanks.
Answer:
LETTER C. PO 40 ang sagot