The time that the height of 80 feet occur on the interval 0 is 4.662 seconds.
Given:
50 cos (π/15(x-10))+52
Height=80 feet
Time= x second
Hence:
height (h)= 50 cos [pie(x - 10 )/15 ] + 52
80 = 50 cos [pie( x - 10 )/15 ]+ 52
Collect like terms
80 - 52 = 50 cos [ pie( x - 10 )/15 ]
28 = 50 cos [ pie( x - 10 )/15 ]
cos [pie( x - 10 )/15 ] = 28/50
cos [ pie( x - 10 )/15 ] =56
cos [pie( x - 10 )/15 ]= cos ( 56 )
cos [ pie( x - 10 )/15 )]= cos ( 0.3111 pie )
Hence:
pie( x - 10 )/15 = 0.3111
( x - 10 )/15 = 0.3111
x - 10 = 15 × 0.3111
x - 10 = 4.662
x = 10 + 4.662
x = 14.662 seconds
Therefore the correct option is C.
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please help!!
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = 9/10, find sin 0.
sin 0 = [ ? ] / [ ? ]
Simplify the fraction
Answer:
[tex] sin \theta = \frac{\sqrt {19}}{10} [/tex]
Step-by-step explanation:
[tex] ( \sin \theta) ^{2} + ( \cos \theta) ^{2} = 1 \\ \\ \therefore \:( \sin \theta) ^{2} + { \bigg( \frac{{9} }{10} \bigg)}^{2}= 1 \\ \\( \sin \theta) ^{2} + \frac{81}{100}= 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{19}{100} \\ \\ \sin \theta = \sqrt{\frac{19}{100} } \\ \\ \sin \theta = \frac{\sqrt {19}}{10} [/tex]
Find the expected value of the winnings from a game that has the following payout probability distribution:
Payout ($) 0 4 6 8 10
Probability .5 .2 .15 .1 .05
Answer:
3
Step-by-step explanation:
The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:40%
Step-by-step explanation:20 divided by 50 is 0.4 then multiply that by 100 and get 40
Answer:
Well the equation for this would 50*.20 = ...
The first half of the answer would be 10.
BUT!
You need to subtract 10 from 50.
50-10 = 40!
There you go.
Step-by-step explanation:
plz help its timed!! will give brainliest
x = 7
Hope this helps!-Finnygraph the equation y = 2 (x - 4)^2 + 5
Answer:
Step-by-step explanation:
Which equation represents the word sentence shown below?
The quotient of a number band 0.3 equals negative 10.
Answer:
where are the equations?
Step-by-step explanation:
tell me and I will edit my answer to answer ur question
Answer:
Step-by-step explanation:
Mhanifa please help. Look at the picture attached. I will mark brainliest
Answer:
#1tangent = opposite leg / adjacent legtan ∠F = DE/ EFtan ∠F = 24/7Option D
#2Sine and cosine are same for complementary angles.
Complementary of 67° is 90° - 67° = 23°.sine 67° = cosine 23°Which function shown below has the greater rate of change? Explain. (Be sure to include the
rate of change for each in your explanation).
Answer:
Function 1 has a greater rate of change.
Step-by-step explanation:
Function 1 has a rate of change of 3 because 3x is the slope of the line.
Function 2 has a rate of change of 1.5, because when you use rise/run, you get a slope of 3/2.
Function 3 has a rate of change of 2. You use the formula (y2 - y1) / (x2 - x1) to find the slope. I used (0,0) and (1,2). When you plug in 2 for y2, 1 for x2, and 0 for y1 and 0 for x1, you get (2-0) / (1-0) which is 2/1. That equals a slope of 2.
Solve the equation for x.
Answer:
-110
Step-by-step explanation:
[tex]-\frac{x}{10} =11[/tex]
-x=11×10=110
x=-110
please help me pleaseeee
Answer:
First, we can find the least common denominator for 8 and 3 which is 24.
5/8 = 15/24
1/3 = 8/24
Then we can divide 15/24 by 8/24 which is 2 1/4.
If we then do 16 divided by 2 1/4 we get 7 1/9
Answer = 7 1/9
Step-by-step explanation:
Plz solve this question
Answer:
first one
Step-by-step explanation:
and is this a test?
12. You are measuring the height of a Sitka spruce tree in Alaska. You stand 45 feet from the base of
the tree. You measure the angle of elevation from a point on the ground to the top of the tree
to be 59º. Estimate the height of the tree.
Answer:
tangent 59° = Tree height / 45 feet
Tree Height = 1.6643 * 45
Tree Height = 74.8935 Feet
Step-by-step explanation:
Solve for x. (Only enter the numerical value.)
(7x + 3)
(10x - 24)
Answer:
=70x^2-138x-72
Step-by-step explanation:
attached is the work in foil method
Answer pleasseee, and explain how you got it.
Answer:
7.2
Step-by-step explanation:
6^2+4^2=c^2
36+16=c^2
52=c^2
x=7.2
please check screenshot
Answer:
Domain: {-2, -1, 0, 1, 2, 3}
Range: {-5, -3, -1, 1, 3, 5}
Step-by-step explanation:
The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.
Domain: {-2, -1, 0, 1, 2, 3}
Range: {-5, -3, -1, 1, 3, 5}
HELP ME PLEASE
24d=12
What is d
-12c=12
What is c
Need explanation for this question please
jack split 25 jelly beans between his brother and himself of that his brother has won more than twice the number jack has how many jellybeans does each have
Answer:
jack has 8 jellybeans and his brother has 17
Step-by-step explanation:
Jack have 8 jellies and his brother have 17 jellies.
What is fraction?A number expressed as a quotient, in which a numerator is divided by a denominator.
Total number of jellies= 25.
The jellies is to be divide between jack and his brother.
let us consider jack has 'x' jellies
Then, his brother have '2x+1'
So, x+ 2x+1=25
3x+1=25
3x=24
x=8
So, jack have 8 jellies and his brother have 2*8+1= 17 jellies.
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BRAINLISTTTT
What is the simple interest on a $3,750 loan at a rate of 5% per year after 5 years?
a. $4,697.50
b. $13,125.00
c. $9,375.00
d. $937.50
Answer:
d.937.50
Step-by-step explanation:
After each year it adds 5% so 5x5 is 25%
25% of $3,750 is $937.50
hope this helps :)
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:
This factors out to be
4(2x+5)(2x+5)
GCF is 4.
This equals 4x^2 +20x+25
[tex]\sqrt{4} \\[/tex]=2
[tex]\sqrt{100}[/tex]=10
Therefore these will be the boxes:
Blank 1: 4
Blank 2: 2
Blank 3: 10
Something that can help you with these types of problems is the "Factoring Calculator by MathPapa" Which I will not put here but can be found by searching that on an engine.
Simplify the product using the distributive property.
(4h + 6)(4h − 7)
16h2 − 52h + 42
16h2 + 4h − 42
16h2 + 52h + 42
16h2 − 4h − 42
Answer:
16h^2-4h-42
Step-by-step explanation:
4h times 4h is 16h^2
4h times -7 is -28h
4h times 6 is 24h
6 times -7 is -42
Combine like terms to get 16h^2-4h-42
A class has 12 boys and 16 girls. The teacher needs to pick two volunteers. What is the probability that she chooses a girl given that she chose a boy first? All answers should be given as a fraction in simplest form!
Any help is appreciated!
Answer:
16/27
Step-by-step explanation:
12 boys and 16 girls
She already chose a boy so now there are (11+16) = 27 possible outcomes
There are 16 favorable outcomes(girl)
so the fraction is 16/27
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the sum, if it exists, of the infinite geometric series S= 1/181 + 1/27+ 1/9+….
a)S= 1/54
b)S=1/9
c)S=1/6
d)This infinite geometric series diverges.
Answer:
S∞=12. Explanation: Formula for sum of infinite geometric series is. S∞=a11−r ; −1<r<1. We have a geometric series ...
Step-by-step explanation:
That's it hope it helps.^^
#carryonlearning
what is the probability of rolling 15 with a pair of dice? answer in likely, unlikely, equally likely, or impossible
it is clearly impossible
It is impossible that the probability of rolling 15 with a pair of dice.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Required the probability of rolling 15 with a pair of dice.
But we know that in the roll of a pair of fair dice,
Then the sample space is as follows:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
Hence, It is impossible that probability of rolling 15 with a pair of dice.
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Please help I'm failing
Answer:
Unit rate!
Step-by-step explanation:
A unit rate is a rate that has a denominator of 1!
~ LadyBrain
solve the following :
7+2x/3= 5
and
3x+4/2= 9.5
Answer:
x= 4
x= 5
Step-by-step explanation:
7 + 2(4)/ 3 = 5
7 + 2(4)/3 = 5
7+8/3 = 5
15/3 = 5
3(5) +4/ 2 = 9.5
15+4/2 = 9.5
19/2 = 9.5
I need the answer pls
Answer:
s
Step-by-step explanation:
sdd
Luther bought a juice box shaped like a rectangular prism. The juice box is 4 inches tall, 3 inches wide, and 1.5 inches deep. Each cubic inch of the juice box holds 0.55 fluid ounces of strawberry-kiwi punch.
How many fluid ounces of punch does the juice box hold?
There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what sea is in simplest radical form
Answer:
C = 18
Step-by-step explanation:
There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what is C is in simplest radical form
Solution:
A triangle is a shape with three sides and three angles. Types of triangle are right angled, isosceles, scalene, obtuse, acute.
The length of the side in a triangle is directly proportional to the opposite angle (angle facing the side).
A right angled triangle is a triangle with one angle equals to 90 degrees.
Since the shortest line is 9, the angle facing the shortest line is the smallest angle. The longest line is the hypotenuse which is given as C. Trigonometric identities shows the relationship between the sides of a triangle and its angles, hence:
sin30 = 9 / C
0.5 = 9 / C
C = 9/0.5
C = 18
2000 restaurants will grow about 3% every year, what is the equation that represents it. Y = restaurants and t = years
Answer:
Y= PV*(1 + g)^t
Step-by-step explanation:
Giving the following information:
Number of Restaurants (PV)= 2,000
Growth rate (g)= 3%
To calculate the number of restaurants after t years, we need to use the following formula:
Y= PV*(1 + g)^t
For example, for 10 years:
Y= 2,000*(1.03^10)
Y= 2,688