Answer: The height of tree = 15 ft. 6 inches
Step-by-step explanation:
Given: A person's height is 5-ft 3-in = [5 x (12 )+3 ] inches [ 1 ft= 12 inches]
= 63 inches
Their shadow has a length of 3-ft 6-in = [3 x 12+6] inches
= 42 inches
If a nearby tree has a shadow of length 10-ft 4-in = [10 x 12+4] inches
= 124 inches.
At the same time,
[tex]\dfrac{\text{Height of tree}}{\text{Height of person}}=\dfrac{\text{Length person's shadow}}{\text{Length of tree's shadow}}\\\\\dfrac{\text{Height of tree}}{63}=\dfrac{124}{42}\\\\\Rightarrow\ \text{Height of tree}=\dfrac{124}{42}\times63=186\ inches\\\\=\dfrac{186}{12}= 15.5 ft\ or\ 15 ft.\ 6\ inches.[/tex]
Hence, the height of tree = 15 ft. 6 inches
Leanna opens a savings account with an initial balance of $100. She then deposits $50 each month. Write an equation to explain the relationship between the amount of money in the account, a, and the number of months since Leanna opened the account, m.
HELP ME
Answer:
7
Step-by-step explanation:
450-100=350
350/50=7
7 months
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A water tank contains exactly 1,000 gallons. A pump fills the remainder of the tank using
a logistic function. If the volume of the tank is 15,000 gallons and the pump fills the tank at a rate of 10.4% per minute, explain how to find the value of a for the logistic function that describes this scenario.
Answer: V ( t ) = 1 + 1 4 e − 0 . 1 0 4 t 1 5 , 0 0 0
The required value for the logistic function describing the scenario of the water tank being filled at a rate of 10.4% per minute.
What is the logistic function?The logistic function has the form:
[tex]f(x) = L / (1 + a \times e^{(-kx)})[/tex]
Where:
f(x) is the volume of the tank at time x
L is the maximum volume the tank can hold
a is a constant that determines the growth rate of the function
k is a constant that determines the rate at which the growth slows down as the tank approaches the maximum volume
In this case, the maximum volume of the tank is 15,000 gallons, so L = 15,000.
The pump fills the tank at a rate of 10.4% per minute, so k = 0.104.
To find the value of a, we need to solve the logistic equation for a given the values of f(x), L, and k.
We can rearrange the logistic equation to solve for a:
[tex]a = (1 / f(x)) - (1 / L) \times e^{(kx)}[/tex]
Substituting the known values into this equation, we get:
[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(0.104x)}[/tex]
This equation can be used to solve for the value of a for any given value of x (time). For example, if we want to know the value of an after 10 minutes, we can substitute x = 10 into the equation to get:
[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(1.04)}[/tex]
This gives us the value of a for the logistic function that describes the scenario of the water tank being filled at a rate of 10.4% per minute.
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Which operation will isolate the variable?
17b = 54 :
addition
subtraction
multiplication
division
Answer:
Division
Step-by-step explanation:
here's your process
=>. it is your equation 17b = 54
=> now divide 17 on both side
=> then we get 17b/17 = 54/17
=> hence , we get b = 54/17
=>now b is isolated by the method of division
hope it helps
Plot the following points on the graph paper:
i) A (- 2, -3) ii) B (1, 3) iii) C (- 5, 2) iv) D (4, - 4)
Answer:
check the screenshot I attached:
its coordinate planes
Answer:
V
Step-by-step explanation:
हल गर्नुहोस् (Solve):
3X+1 + 3x = 108
सरल गर्नुहोस् (Simplify):
1
1
+
(a - b) (a-st 16-allo
107/6
Step-by-step explanation:
3x+1+3x=108
6x=108-1
6x=107
x=107/6
If the cos of angle A = 1/2, then find the measure of angle A.
Answer:
<A= 60 degrees
Step-by-step explanation:
Since cosA=0.5, we can take the inverse cos of 0.5 to get 60 degrees.
Hope this helped!
Help please
Brainiest answer to whoever is first
Answer:
75
Step-by-step explanation:
If a 20 foot ladder makes a 58° with the ground, how many feet up a wall will
the ladder reach? Round your answer to the nearest tenth
Answer:
Yes
Step-by-step explanation:
Trust me bro.
Answer:
Step-by-step explanation:
sin58=h/20
h=20sin58
h=17.0 ft
AB
Round your answer to the nearest hundredth.
С
4
A
25°
?
B
Answer:
AB ≈ 4.41
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos25° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{4}{AB}[/tex] ( multiply both sides by AB )
AB × cos25° = 4 ( divide both sides by cos25° )
AB = [tex]\frac{4}{cos25}[/tex] ≈ 4.41 ( to the nearest hundredth )
Find the missing side length of a right triangle with a leg measure of 3 inches and a hypotenuse measure of 5
inches.
Solve
5x+3y=32
2x+4y=10
i send u a picture of how i solve it. i hope this can help u
will mark brainless!!! 7. Step 2: Calculate the perimeter of DEF using the scale factor.
62.5 ft
196.5 ft
163.75 ft
58 ft
solve for -4[x+9]=-8
Answer:
x= -7
Step-by-step explanation:
-4x - 36 = -8
-4x = - 8 + 36
-4x= 28
x= 28/-4
x= - 7
Please help!! I will give brainliest
can someone please help me asap
Answer:
I cant see it....
Step-by-step explanation:
I cant see it....
the relationship between a and b if a + b = 0
Answer:
a=-b
Step-by-step explanation:
a+b=0a=-bOr,
b=-a
Solve for x please and thank you
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The product of segment lengths is the same for the two chords.
9(21) = x(27)
x = 189/27 . . . . . divide by 27
x = 7
Pleaseeeeee can anyone help me????
Answer:
27.63
Step-by-step explanation:
r = 4.4
Circumference of a Circle formula:
C = 2πr
C = 2(3.14)(4.4)
C = 6.28(4.4)
C = 27.632
Rounded to the nearest hundredth:
27.63
Answer:
C= 27.63 inches
Step-by-step explanation:
Use the circumference formula C = 2πr.
Subsitute what you are given into the equation and solve.
C = 2πr
C= 2*(3.14)*(4.4inches)
C= 27.63 inches
Jonathan was 45 inches tall when he started kindergarten. He grew an average of 2.5 inches every year. Jonathan is now 62.5 inches tall. Which equation can be used to find how many years ago Jonathan started kindergarten, and how many years ago was it?
A. (45 + 62.5) ÷ 2.5 = x 7 years
B. 2.5x + 45 = 62.5 7 years
C. (45 + 62.5) ÷ 2.5 = x 43 years
D. 2.5x + 45 = 62.5 43 years
Answer:
B; 2.5x + 45 = 62.5
Step-by-step explanation:
Since the current height is 62.5, and the starting height is 45, then all you have to do is subtract 45 from 62.5, then divide that by 2.5 to get your answer, which should be 7 years.
Hopefully this helps- let me know if you have any questions!
Given a set of attributes, can you make one triangle, no triangles, or many triangles?
jo says, "the attributes of my triangle are sides that are 3cm and 9cm long. I can make only one triangle because I have to connect the ends of my two sides."
do you agree or disagree? why?
Answer:
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
The circumference of a circle is 24π in. What is the area, in square inches? Express your answer in terms of \piπ.
Answer:
45.84
Step-by-step explanation:
hope that helps
The area of the circle is equal to 144π square inches.
What is the area of the circle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that the circumference of a circle is 24π in. The area of the circle is calculated by the formula given below,
Area of circle = πr²
Circumference of the circle = 24π
2πr = 24π
r = 12
The area of the circle will be calculated as:-
Area = πr²
Area = π x ( 12 )²
Area = 144π square inches.
Hence, the area is 144π square inches.
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What is the equation of the line that passes through the point (-4, -6) and has a
slope of -1/2?
Answer:
y=(-1/2)x-8
Step-by-step explanation:
Answer:
y=-1/2x - 8
Use desmos to help with these problems
the sum of 6 less than a number and 3
Answer:
2
Step-by-step explanation:
Help please thank you!! :)
Answer:
Area of circle: 1662.57 cm
Circumference of circle: 144.57 cm
Step-by-step explanation:
Formula of area of circle:
pi x r2 or radius x radius
So, it's 22/7 x 23 x 23 = 1662.571429
Formula of circumference of circle:
2 x pi x radius OR
pi x diameter
Let's use the second method, to find diameter it is radius x 2 = 46
So,
46 x 22/7 = 144.5714286
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Answer: D. Point A
Step-by-step explanation:
It is the solution because it falls on the point where the lines intersect and since they intersect they can have only one solution
Answer:
isn't it just point A (answer choice D) because, like other person said, the two lines intersect at point A?
Step-by-step explanation:
correct me if I'm wrong
Find the surface area. Answer without units.
18 cm
11 cm
9cm
Please help hurry
Answer:
306
Step-by-step explanation:
v = 1/3bh
2×(18×11 + 18×9 + 11×9) / 3 = 918/3
= 306
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What is the distance between (4, 7) and (-8, 3)? Round to the nearest tenth.
Answer:
The distance is approximately 12.6.
Step-by-step explanation:
Moving from (-8, 3) to (4, 7), we see x (the horizontal dimension) increasing by 12 and y (the vertical dimension) increasing by 4. Think of 12 and 4 as the legs of a right triangle whose hypotenuse represents the distance between these two given points.
This distance, from the Pythagorean Theorem, is
d = √(12^2 + 4^2) = √(144 + 16) = √160 = √16√10.
The desired distance is approximately 12.6.