The altitude of the plane is 8 miles
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
we know that in the right triangle ABC
tan function is ratio of opposite side and adjacent side
tan(72°)=h/x
h=xtan(72°) ....... equation 1
In the right triangle ABD
tan(55°)=h/(x+3)
h=(x+3)tan(55°) ..... equation 2
From equation 1 and 2
xtan(72°)=(x+3)tan(55°)
xtan(72°)-xtan(55°)=3tan(55°)
x[tan(72°)-tan(55°)]=3tan(55°)
x=3tan(55°)/[tan(72°)-tan(55°)]
We have to find the value of h
h=xtan(72°)
h=[3tan(55°)*tan(72°)]/[tan(72°)-tan(55°)]
h=8 miles
Hence, the height is 8 miles of the plane.
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Steven’s cat drinks water from a bowl. The following function represents the ounces of water left in the bowl in terms of hours since it was filled. y= -1/2x + 4 Which variable represents the number of hours since the bowl was filled
Considering the given linear function, variable x represents the number of hours since the bowl was filled.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the number of ounces of water left in the bown after x hours is given by:
y = -0.5x + 4.
Variable x is the input, hence, it represents the number of hours since the bowl was filled.
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Answer:
Part A: The number of ounces of water left in the bowl depends on the number of hours since the bowl was filled. So the number of ounces is the dependent quantity. The y-variable represents the dependent quantity. So, the y-variable represents the ounces of water left in the bowl.
Part B: The number of hours since the bowl was filled is the independent quantity. The x-variable represents an independent quantity. So, the x-variable represents the number of hours since the bowl was filled.
Part C: The value 4 is the initial value of the function. It represents the ounces of water in the bowl immediately after the bowl was filled and before the cat drank any water from the bowl.
Part D: The value -1/2 is the function’s rate of change. It represents the change in ounces of water in the bowl with every hour.
Step-by-step explanation:
I took the Edmentum test.
If y varies directly as x and y = 12.4 when x = 4, find the equation that relates x and y.
Answer:
y = kx
Step-by-step explanation:
k = constant of proportionality
Answer:
y = kx
Step-by-step explanation:
This shows direct variation between the values of x and y, where k is the proportionality constant.
Avoiding an accident when driving can depend on reaction time. That time, measured in seconds from the moment the driver see danger until they step on the brake pedal, can be described by the Normal model with a mean of 1.5 seconds and a standard deviation of 0.18 seconds.
Note that this scenario is talking about a population distribution. There is no discussion of a sample or sample size. Therefore, you do not need to adjust the standard deviation that is given before using the normalcdf and invNorm commands.
a) What percent of drivers have a reaction time greater than 1.8 seconds?
Give the command and values you used as a way of showing your work:
Give your final answer rounded to 2 decimal places:
b) Describe the reaction time of the slowest 10% of all drivers? (Hint: The slower a person reacts, the higher their reaction time so this is looking at the right tail of the distribution)
Give the command and values you used as a way of showing your work:
Give your final answer rounded to 2 decimal places:
Using the normal distribution, it is found that:
a) 4.75% of drivers have a reaction time greater than 1.8 seconds.
b) The reaction time is of at least 1.73 seconds.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively:
[tex]\mu = 1.5, \sigma = 0.18[/tex]
Item a:
The proportion is one subtracted by the p-value of Z when X = 1.8, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.8 - 1.5}{0.18}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a p-value of 0.9525.
1 - 0.9525 = 0.0475 = 4.75%.
4.75% of drivers have a reaction time greater than 1.8 seconds.
Item b:
The reaction time is of at least X seconds, in which X is the 90th percentile, that is, X when Z = 1.28, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 1.5}{0.18}[/tex]
[tex]X - 1.5 = 1.28(0.18)[/tex]
[tex]X = 1.73[/tex]
The reaction time is of at least 1.73 seconds.
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Choose the equation for the graph
below.
x+1
a.y =
X-2
2x-3
b.y =
X-4
3-X
c. y =
xt?
x+2
X
d.y=
2x+4
X-1
e.y=
x+4
Choose the equation and description for the
relationship given in the table.
x = 0.035y. There are 0.035 grams in every ounce.
y = 0.035x. There are 0.035 ounces in every gram.
x = 0.035y. There are 0.035 ounces in every gram.
y = 0.035x. There are 0.035 grams in every ounce.
Answer:y= 0.035x. There are 0.035 ounces in every gram.
Step-by-step explanation:I just did the assignment and got it right
Answer:
y = 0.035x. There are 0.035 ounces in every gram.
Its B
Step-by-step explanation:
1) To make plaster, Kevin mixes 3 cups of water with 4 pounds of plaster powder. Complete the table.
How much water will Kevin mix with 20 pounds of powder?
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
PLEASE HELP! FIND THE AREA
Answer:
All you need to do is split the shape so that you can find the individual area
Step-by-step explanation:
So we first split the shape so we get a triangle...
A=1/2bhB=2H=4A=1/2*2*4A=4Now we split the shape again to get another square...
A=lwA=2*4A=8Then we find the area of the other square...
A=lwA=2*5A=10Our last step is to add all the areas together
we let TA represent Total areaTA=4+8+10TA=22Hence the area is 22
Which expression has a value of 48?
(16 - 8) x (2 + 4)
16 - (8 x 2 + 4)
16 - 8 x (2 + 4)
(16 - 8) x 2 + 4
Step-by-step explanation:
(16-8)×(2+4)
(8)×(2+4)
(8)×(6)
48
Two angles are supplementary if their sum is 180 degrees
Answer:
maybe 80 degrees and 100? might be wrong dont count on me fully
Step-by-step explanation:
What is the mode of the following distribution: 8, 6, 5, 4, 1, 5, 3?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
5 repeats twice
Aaron and his mother planted 27 trees on Wednesday.
The ratio of oak trees they planted to the total number of
trees they planted was 2:9. How many oak trees did Aaron
and his mother plant on Wednesday?
A)5
B)13
C) 6
D) 21
Answer:
A. 5Step-by-step explanation:
let us use the part to whole approach
given the ratio= 2:9
the total ratio= 2+9=11
the total trees planted=27
using the part to whole, the oak trees planted is given as
let the number of oak trees be x
2/11=x/27
cross multiply we have
11x=27x2
11x=54
x=54/11
x= 4.90
approximately 5 tree
Answer: A 5
Step-by-step explanation:
someone help please answer asap
Answer:
[tex]g(x) = 5x^2[/tex]
Step-by-step explanation:
In the equation x^2, when x = 1, y = 1. But in g(x), when x is 1, y is 5. Since g(x) is a scaled version of x^2, we can conclude that g(x) is 5 times x^2.
Therefore, [tex]g(x) = 5x^2[/tex].
I hope this helped you.
. . .Step-by-step explanation:
The probability that an event will occur is 9/10. Which of these best describes the likelihood of the event occurring?
Answer:
Likely
Step-by-step explanation:
The odds are in favor of it, but it hasn't been proven.
Can anyone help me here this is a mastery test by the way. Too tired to type it out so I put a photo.
^
|
Answer:
1st Question is 22r4
2nd Question is 22r16
3rd Question is 11r11
4th Question is 11r30
Step-by-step explanation:
Hope this helps. I'll give you my energy.
f(x)=^3 4x g(x)=2x+3 find(f/g) (x). Include any restrictions on the domain.
Answer:answer is b
Step-by-step explanation:
The value of function (f/g)(x) is 3√4x/2x+3 , where x ≠ -3/2.
What is Function?
A relation between a set of inputs having one output each is called a function.
The functions are given as;
f(x) = 3√4x
g(x) = 2x + 3
Now, We are to find the value of function (f/g)(x) as;
(f/g)(x) = f(x)/g(x)
(f/g)(x) = 3√4x/2x+3
Hence, The value of function (f/g)(x) is 3√4x/2x+3
And, Restriction of the function occurs at the point where the denominator is zero.
Hence,
2x + 3 = 0
2x = -3
x = -3/2
So, The required function (f/g)(x) is 3√4x/2x+3 , where x ≠ -3/2.
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(PLEASE HELP!!!)Which shows the list of numbers in order from least to greatest?
Answer:
B
Step-by-step explanation:
hope this helps
Answer:
A
Step-by-step explanation:
-2 is the least because the two lines means the number inside will be positive.
this means that -4/5 will be 4/5. Then 1. Then 3.5. Finally, 4.2
Hope this helps you
two years ago the cats tim and tom were toghether 15 years old.Now tom is 13 years old.In how many years will tim be 9 years old?
Answer:
3 years
Step-by-step explanation:
As with many age problems, you can reason it without equations. If Tom is 13 now, 2 years ago he was 11. If the total age of the two cats at that time was 15, then Tim was 15 -11 = 4.
That means Tim is now 4+2 = 6, so will be 9 in 3 years.
_____
Additional comment
If you want to write equations, there are several ways you can do it. We often like to use variables to represent the current age. We can assign ...
x = Tim's current age; y = Tom's current age.
The sum of their ages 2 years ago was ...
(x -2) +(y -2) = 15
Tom's current age is 13, so we have y=13. Using that in the equation gives ...
x -2 +13 -2 = 15
x = 6 . . . . . . . . . . subtract 9, collect terms
That's Tim's current age, so Tim will be 9 years old in 3 years.
Can anyone solve 8,9 and 10 please
Answer:
8=90,000,000,000
9=250,000,000,000
10=360,000,000,000
Pls help ill give brainliest!!!
A- What do you notice? Why is this true?
B- What is slope? Write a conclusion about the ratio and slope.
C- Write an equation for the line that represents wages earned (y = mx + b):
D- According to the equation, how much could a person earn who works 40 hours?
E- What if the person got a $50 bonus and also worked some hours? How would this change the graph?
The linear equation is given by y = 15x. A person earns $600 for working 40 hours
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the y intercept.
The line passes through (7, 105) and (8, 120), hence:
y - 105 = [(120 - 105)/(8-7)}(x - 7)
y = 15x
For 40 hours:
y = 15(40) = $600
if the person got a $50 bonus and also worked some hours, it would change the graph
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IT cost $11 for 15 granola bars.
What is the unit price , un dollars per granila bar , rouned to the nearest hundredth.?
Answer:
$1.36
Step-by-step explanation:
Answer: yee yee nation
Step-by-step explanation:
How do u work out
65% of 8700
First off, you have to make 65 % into an actual number, which is 0.65 (every time you want to convert percentages into numbers, you have to divide that by 100)
Now
0.65 * 8700 = 5655
Answer: 5655
Solve for h.
A=3h
Can anyone help me?
Answer:
h = 3/A
Step-by-step explanation:
A = 3h
Divide both sides by 3 to isolate h:
A/3 = 3h/3
Simplify and get
A/3 = h or h = A/3
Hope this helps!
To make the expression 4x−2+□(2x+4) equivalent to 2(6x+7), what must be the value in the box?
Answer: 4 goes into the box!!
Step-by-step explanation:
Answer:
yo add AlexGot_u on ps4
Step-by-step explanation:
what is the sum of 2.5 × 10^4 × 10^4
Answer:
2.5 ⋅10^8
Step-by-step explanation:
Greg wants to estimate the percentage of people who lease a car. He surveys 340 individuals and finds out that 90lease a car
Answer:
26.47%
Step-by-step explanation:
Total individual =340
Individual who lease car=90
Now,
90 out of 340 people lease car.
Fraction of people leasing car=90/340 =9/34
Percent of people leasing car=fraction *100%
=9/34 *100%
=26.47%
Need help please!!!!!
Answer:
Yes, it is false.
A scientist drops a probe in the water. The depth of the probe changes −112 feet every second. How many seconds will it take for the probe to reach the bottom at a depth of −114 feet?
Answer:
1.01785714286 seconds
Step-by-step explanation:
What you need to do is take the final end position and divide it by the speed which is -112 units every second and you get the amount of time that it should take.
Jessica was planting flower seeds in a garden. She planted 22.75 square feet of seeds in 7 minutes. At what unit rate did Jessica plant seeds?
Answer:
we just need to divide the amount of feet by the minutes so
22.75 divided by 7=3.25
so she plants 3.25 square feet a minute
Hope This Helps!!!
Answer:
3.25 per min
Step-by-step explanation:
A wave has a frequency of 50Hz and a wavelength of 10m. What is the speed of the wave? Given:
Unknown:
Formula:
Solution:
Final answer:
Answer:
formula 8.334
Step-by-step explanation: formula 8.334 so