Solving the trigonometric equation, it is found that it takes 40 seconds to complete one turn.
The height is modeled by:
[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]
The initial height is [tex]h(0) = 15[/tex], hence, one turn is completed when h(t) = 15.
[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]
[tex]15 = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]
[tex]\cos{\left(\frac{\pi}{20}t\right)} = \frac{15}{15}[/tex]
[tex]\cos{\left(\frac{\pi}{20}t\right)} = 1[/tex]
The length of one turn is of [tex]2\pi[/tex], and [tex]\cos{(2\pi)} = 1[/tex], hence, the solution is found according to:
[tex]\frac{\pi}{20}t = 2\pi[/tex]
[tex]t = \frac{40\pi}{\pi}[/tex]
[tex]t = 40[/tex]
It takes 40 seconds to complete one turn.
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Answer:
D. 40 seconds!! Props to guy above.
A rectangular lawn 80 m x 60 m has two roads each 10m wide running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of gravelling them at ₹ 1.20 per sq meter.
Answer:
₹1680
Step-by-step explanation:
Road Length (m) Width (m) Area ([tex]m^{2}[/tex])
1 80 10 800
2 60 10 600
(800+600) = 1400 ([tex]m^{2}[/tex])
1400 ([tex]m^{2}[/tex])*(₹ 1.20/m) = ₹1680
What is the slope of the line?
"a deposit plus $8 per hour"
Answer:
d + 8/hr
Step-by-step explanation:
if the discriminant is negative how many solutions are there
Answer:
no real solutions
Step-by-step explanation:
If it is a quadratic equation, there are always two solutions, regardless of the value of the discriminant.
When the discriminant is negative there are no real solutions, but there are two complex solutions.
Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a Not-equals 1 and b Not-equals 1? log Subscript x Baseline x StartFraction log Subscript b Baseline x Over log Subscript b Baseline a EndFraction StartFraction log Subscript b Baseline a Over log Subscript b Baseline x EndFraction StartFraction log Subscript a Baseline b Over log Subscript x Baseline b EndFraction StartFraction log Subscript a Baseline x Over log Subscript b Baseline x EndFraction.
The expression that can be used to approximate the expression below is[tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]
Given the logarithmic function expressed as [tex]log_a x[/tex], we need the log expression that is equivalent to the given expression.To do this, we will write the logarithm as a quotient to the same base. Using the base of 10, the expression can be written as;[tex]log_a x = \frac{log_{10}a}{log_{10}x}[/tex]
This is similar to the option c where the base of "b" was used as [tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]
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Answer: C
Step-by-step explanation:
If you don't want to read it all
Add.
(4+4n)+(7+2a)
Thanks!
Answer:
[tex](4+4n)+(7+2a) = 11+4n+2a[/tex]
Step-by-step explanation:
a rectangular parking lot has a perimiter of 500 feet and a width of 100 feet. find the lenght of the parking lot be sure to show all four steps
Answer:
50,0
Step-by-step explanation:
So we know 500×100=50,000
So it's 50,000
Please solve this problem please ASAP !
Answer:
3/x+2 = 4/y
then y equals
3y = 4(x+2)
y = 4x + 8 / 3
Find the product -1.2(0.04)
Answer:
-0.048
Step-by-step explanation:
-1.2 * 0.04 = -1.2 * 4 / 100 = -4.8 / 100 = -).048
14b = −56
i need help figuring out what this is i'm doing it but i keep getting it wrong please help
Answer:
-4
Step-by-step explanation:
14b = -56
divide by 14
-56 ÷ 14 = -4
b = -4
I hope this helps!
Answer:
b = -4
Step-by-step explanation:
[tex]14b = -56\\\\rule{150}{0.5}\\\frac{14b=-56}{14}\\\\ \boxed{b = -4}[/tex]
Hope this helps.
Type the expression that results from the following series of steps:
Start with 6 and subtract
z
brainlyest, plus 5 points
PLEASE STEP BY STEP
Evaluate x/2+5y-1.5 when x = 10 and y = 8
Answer:
43.5
Step-by-step explanation:
x/2+5y-1.5
10/2+5×8-1.5
5+40-1.5
5+38.5
=43.5
Answer:
43.5
Step-by-step explanation:
x ÷ 2 + 5y - 1.5
Start by replacing the x's and y's
10 ÷ 2 + (5 · 8) - 1.5
Start with parenthesis
10 ÷ 2 + 40 - 1.5
Then do the division
5 + 40 - 1.5
Then go left to right
45 - 1.5
43.5
I hope this helps!!!
Jenny's great grandmother is 95 years old.
Jenny is 12 years old.
What percent of Jenny's great grandmother's age is Jenny's age?
Hurry! Worth a lot of points!
Please help me with this
Step-by-step explanation:
the only reason you would need help with this is, if you don't understand what exponents are and how they work.
because once you understand that, you can do the whole question in 30 seconds yourself. way faster than the posting here and then copying answers back into your system.
so, let me explain this important element :
when you have something like 5³, then this 3 is the exponent, and the 5 is the base.
when we talk about such a thing we typically say "5 to the power of 3".
now what did it mean ?
well, it is a multiplication. a multiplication of the base by itself (like when we square a number).
and the exponent tells is how often the base is multiplied by itself.
so, back to my example :
5³ = 5×5×5
3² = 3×3
13⁴ = 13×13×13×13
once you understand that, you can solve the question yourself in seconds.
e.g. the first is looking for the equivalent of 7⁴.
we need to find the answer option that dissolves this like the examples above to 7×7×7×7.
and we find B to be the right answer.
for 3⁶ = 3×3×3×3×3×3
and E is right. and so on.
Emma and her 3 friends were thirsty so she shared 1/2 gallon of lemonade equally among 4 people. How much did each purdon get
1/8
1/4
1/2
4
Answer:
1/4
Step-by-step explanation:
its kinda hard to
explain
will give brainliest!
Answer 4/5 now give brainliest
I’ll give 100 points
Answer:
2055 is the answer.
Step-by-step explanation:
If x represents the number of minutes and y represents the hiker elevation in feet.
y = 8.19x + 663
y = 8.19(170) + 663
y = 1392.3 + 663
y = 2055.3
Hope it helps:)
Answer:
:)
Step-by-step explanation:
The supplement of the complement of an angle is 132 degrees. What is the supplement of that angle
Based on the information given, it should be noted that the supplement will be 48°.
It should be noted that two angles are called supplementary angles when the values that are added together will be equal to 180°.
In this case, we've been informed that one of the angles is 132°. Therefore, the value of the second angle will be:
= 180° - 132°
= 48°
The second angle is 48°.
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Hi, let me help you out!
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
In this problem, we're trying to find the supplement of [tex]\tt{132\textdegree}[/tex].
Supplementary angles add up to [tex]\tt{180\textdegree}[/tex].
So, let's find its supplement:
[tex]\tt{\angle x+132=180}[/tex], where x is the unknown angle.
Subtract 132 from both sides of the equal sign:
[tex]\boxed{\tt{\angle x=48\textdegree}}[/tex] [tex]\longleftarrow\tt{We\:conclude\:that\:this\:is\:the\:answer.}[/tex]
I hope it helps you! Have an awesome day!
If you need any explanation or clarification, feel free to comment and ask me, and I'll respond asap and do my best to help you out! :D
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Pls help I'm falling behind
Solve each equation
6y-8-6-8y=4
Answer:
y = -9
Step-by-step explanation:
Combine like terms first; 6y-8y=-2y and -8-6=-14
-2y-14=4.
Then add 14 to both sides.
-2y=18
Lastly, divide both sides by -2
y=-9
Answer: = -9
Step-by-step explanation:
1. subtract -8-6 which equals -14
2. Combine like terms which are -8y and 6y and you should get -2y
3. Add 14 on both sides eliminate the -14 on one side. it should be -2y = 18
4. Now you want to get y all on its own so you divide -2 on both sides -2y/2 = 18/-2
5. and you should be able to cancel out -2y and get y= -9
A motorcycle can travel 60 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 40 km? [1 mile = 1. 6 km] 0. 04 0. 08 0. 20 0. 42.
The motorcycle needs to travel 40 km, 0.42 gallons of fuel.
Given that,
A motorcycle can travel 60 miles per gallon.
We have to find,
How many gallons of fuel will the motorcycle need to travel 40 km?
According to the question,
The motorcycle travel 60 miles per gallon,
The motorcycle travels 40 km,
To convert it into kilometers 60 miles per gallon.
[tex]\rm 1 \ mile = 1.6\ k.m.\\\\60 \ miles \times 1.6 \ k.m. = 96 \ k.m.[/tex]
Therefore,
The gallons of fuel will the motorcycle need to travel 40 km is,
[tex]= \dfrac{96}{40}\\\\= 0.42[/tex]
Hence, The motorcycle needs to travel 40 km, 0.42 gallons of fuel.
For more details refer to the link given below.
https://brainly.com/question/13108874
Pls answer these two questions
Answer:
1. C
2. C
Hope This Helps!!!
what is 400X600+1200=
Answer: 241,200
just multiply and add hope this helps
Answer:
24,1200
Step-by-step explanation:
400x600=24,000
Then let's add 24,000+1,200 which is 24,1200.
Elsa is selling bracelets at craft shows to raise money for an animal shelter. She is also accepting additional cash donations. She plans to give 75% of the money from all bracelet sales and donations to the shelter. She will use the remaining money to buy more supplies. Bracelet sales and donations from the first craft show are represented by the expression 24n+32 , where n represents the amount Elsa charges for each bracelet. The second craft show sales and donations is represented by the expression 40n+56 . If Elsa charges $4 for each bracelet, how much money will she donate to the animal shelter?
Answer:
22-1n-3
Step-by-step explanation:
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
The amount donated to the animal shelter is $258
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Percentage to donate to the shelter = 75%
The expression that shows the amount from the first and second craft shows.
24n + 32 _____(1)
40n + 56 ______(2)
Where n is the amount of each bracelet.
Now,
Cost of each bracelet = $4.
From (1) and (2) we get,
24 x 4 + 32 = 96 + 32 = 128
40 x 4 + 56 = 160 + 56 = 216
Now,
The total amount collected from both the craft shows.
= 128 + 216
= $344
The amount donated to the animal shelter.
= 75% of $344
= 75/100 x 344
= $258
Thus,
The amount donated to the animal shelter is $258
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#SPJ2
Select the correct answer.
A pencil costs $0.25 more than an eraser. If the cost of eight pencils is $6.80, what is the cost of one eraser?
A.
$1.80
B.
$0.85
C.
$0.60
D.
$0.40
E.
$0.30
Answer:
C.$0.60
hope this help!!!!!!!!!!!!!!!!!!!!!!
Dress:$35.99 tax:6.75%
Answer:
38.14 but if rounded up it becomes 38.15
You sell tickets for admission to your school play and collect a
total of $156. Admission prices are $8 for adults and $4 for
children, you sold 24 tickets. How many adult tickets and how
many children tickets did you sell?
Answer:
adults 15 and children 9
Step-by-step explanation:
MY HEAD IS HURTING I BEG FOR YOUR HELP. I WILL MARK BRAINLIST!!
Answer: No association
Step-by-step explanation:
There is absolutely no pattern going on. This means that the miles ran per week are not really affecting the standing heartbeat. Therefore, I'd say there is no association.
A tree cast a shadow 21 meters long
The angle of elevation for the sun is 51 degrees
What is the height of the tree?
Step-by-step explanation:
I do not understand .____.
On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 1), point B is at (3, 2), and points C is at (negative 1, negative 1) If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle? 0. 625 units 0. 8 units 1. 25 units 1. 6 units.
The corresponding height of the triangle is 1.6 units
The formula for calculating the area of a triangle is expressed as:
[tex]A=\frac{1}{2} bh[/tex]
b is the base of the triangleh is the height of the triangleGiven the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\BC= \sqrt{(-1-2)^2+(-1-3)^2}\\BC=\sqrt{3^2+4^2}\\BC=\sqrt{25}\\BC=5units[/tex]
The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:
[tex]A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\[/tex]
Substituting the coordinate points:
[tex]A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2[/tex]
Recall that:
[tex]A = 0.5bh\\h=\frac{A}{0.5b}\\h=\frac{4}{0.5(5)}\\h=\frac{4}{2.5}\\h= 1.6 units[/tex]
Hence the corresponding height of the triangle is 1.6 units
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