Answer:
9 cm²
Step-by-step explanation:
Two wires are attached 6 feet up a tree and 3 feet from the base of the tree. About how much TOTAL wire was used?
We solve the above question, using the Area of a Triangle
Area = 1/2 × Base × Height
Area = 1/2 × 3 × 6
Area = 9 cm²
Therefore, the total wore that was used was 9cm² of wire
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.
To learn more about the function visit:
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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
Hi guys please help me out I would appreciate it thank you so much
Answer:
D) Angle VUX
Step-by-step explanation:
There are 5 green skittles, 4 orange skittles, and 3 red Skittles in a bag. What is the probability of red Skittle, Not replacing it (eating it), then picking a green skittle?
Answer:
3/12
Step-by-step explanation:
the entire bag has 12 skittles. there are only 3 red. This gives a fraction of red skittles/entire bag in order to get the probability. So this would be 3/12 in this most basic sense? I am not sure if you need to go further than this or not. Hope this helps!
1) ABC is a right-angled triangle.
AB = 50 cm.
Angle ABC= 24°
Work out the length of BC.
Give your answer correct to 1 decimal place.
Answer:
112.3
Step-by-step explanation:
Grant made a $2800 investment that piece is simple interest rate at 6% per year. To the nearest hundredth which of the following is the amount of interest here and after one year
F. $1,680.00
G. $46.67
H. $466.67
J. $168.00
Please help ASAP
Answer:
$1,680 - F
Step-by-step explanation:
You do 2800 x 0.6 in ur calculator which is 1680..
NOTE:I haven't done 5/6th grade math in so long.. So correct me if I am wrong please.But I tripple checked this.Can anyone help me with this math please I will give brainlist!! I used all my points for this question!!
9514 1404 393
Answer:
15.4567.0787040.7872.0Step-by-step explanation:
Locate the digit to the right of the place you're rounding to. If that digit is 5 or more, add 1 to the digit in the place you're rounding to. Drop all digits to the right of the one you're rounding to, unless it is left of the decimal point. In that case, zero any digits between the one you rounded and the decimal point. (See problem 3 for an example of this.)
If you're rounding to the ones place (nearest whole number), and that digit ends up being 0, then put a decimal point after it to indicate it is a significant digit.
The second attachment shows the names of the number places, if you need a reminder.
The perimeter of ABCD is 26 cm
The area of PQRS is 45 cm(squares)
Find the length of AB
Factorise x^2-3x
plz help me
x^2 - 3x = x ( x - 3 )
ʜᴏᴘᴇ ʏᴏᴜ ɢᴇᴛ ᴡᴇʟʟ
Please help me! Thank you!
In circle J with mZHLK = 21°, find the angle measure of minor arc HK .
K
H
L
Answer: m HK
Submit Answer
attempt 2 out of 2
PLZ HELP
Answer:
HK=42°
Step-by-step explanation:
because the arc of HK is two time bigger than HLK measurement
HLK=1/2HK
21°=1/2HK cross production
HK=2×21°
HK=42°
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?
Solve for x if:
y = 30
x = y
- + 20
3
A) 25
B) 40
C) 50
D) 30
Answer:
30?
Step-by-step explanation:
If y is 30 and x = y. Then wouldn't x be 30 HOWEVER I'm unsure what the other part of the equation is.
Samuel drove 84 miles in 6 hours. How far can he drive in 6 hours?
Answer:
the answer is 84 being how you asked the question but I dont think thats what you meant to ask. if thars wrong just tell me and ill answer it the way you need it
Step-by-step explanation:
Answer:
84 miles
Step-by-step explanation:
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
Graph the logarithmic function f(x) = log2(x - 1) + 2.
anyone know this pls help
Answer:
I graphed it for you in the image below.
Step-by-step explanation:
Graph the logarithmic function f(x) = log2(x - 1) + 2 is attached below.
What is a function?The function is referred to as a particular kind of relationship, every value in the domain is associated with exactly one value in the range. They have a set perimeter and territory.
It is given that the logarithmic function is, f(x) = log2(x - 1) + 2.
The first step in graphing a logarithmic function is to locate some points on the exponential f. (x). The graph will look better as we plot more points, and we can flip the x and y values to get points on the opposite axis. locate the asymptote. The following logarithmic functions can be graphed. Specify the domain and the range.
Thus, the graph is attached below.
Learn more about the function here:
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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
A square sticky note has sides that are 7 centimeters long. What is the sticky note's area?
Answer:
side- 7
area of square - side x side
7 x 7 - 49² cm
square - all sides are the same length
area - length * width
7 * 7 = 49
49 cm^2If n + n + 2 = 10, then n= ____.
Answer:
n = 4
Step-by-step explanation:
Combine like terms and solve.
n + n + 2 = 10
2n + 2 = 10
2n = 8
n = 4
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]
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.
Find the value of x and then perimeter
Answer:
×= 4 and the perimeter is 18
Step-by-step explanation:
(x+3)(x-2)=14
x^2+x-6=14
x^2+x-20=0
(x+5)(x-4)=0
x=4
perimeter = 7(2)+2(2)=18
Hunter took out a $3,500 loan with interest to pay for some business supplies. He will repay the loan in 3 years with monthly payments of $109.68. Find the total amount of Hunter’s repayment.
A. $329.04
B. $3,948.48
C. $1,316.16
D. $10,500
Answer:
A
Step-by-step explanation:
A. $329.04
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Help me please please please please
pi is 3.15 so I think its pi time radius to get the area which is 3.15 times 9. that equals to 28.35
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:
8-50. What is the area of a regular decagon if the length of each side is 20 units? Show all your work.
Answer:
3077.68
Step-by-step explanation:
the Area of the regular decagon is 3077.68
The area of the decagon with side length of 20 units is -
A = 1000√(5 + 2√5) square units.
What is Area?Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write area -
V = ∫∫F(x, y) dx dy
Given is a regular decagon with length of each side is 20 units
The area of the regular decagon is -
A = (5/2)a²√(5 + 2√5)
We have {a} = 20. So, we can write that -
A = (5/2)(20)²√(5 + 2√5)
A = (5/2) x 400 x √(5 + 2√5)
A = 5 x 200 x √(5 + 2√5)
A = 1000√(5 + 2√5)
Therefore, the area of the decagon with side length of 20 units is -
A = 1000√(5 + 2√5) square units.
To solve more questions on areas, visit the link-
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Select the correct answer from each drop-down menu.
The table shows the number of games a chess player won in professional competitions, based on the number of games played.
Games Played (x) 10 15 20 25 30
Games Won (y) 4 10 16 21 25
The line of best fit for the situation is
___.
If the chess player plays 40 games in the next competition, the expected number of games won would be approximately __.
???
Answer:
36 games won ...............
Answer:
y=1.06x-6
36
Step-by-step explanation:
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
See below.
Step-by-step explanation:
The formula for the volume of a sphere
= 4/3 π r^3 where r = the radius.
So for number 1:
V = 4/3 π (5)^3
= 523 .60 mm^3 to nearest hundredth.
The others are solved in exactly the same way except where the diameter is given as in number 4 and 5 you get the radius r by dividing the diameter by 2. So in number 4, r = 30/2 = 15.
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.
