Answer:
10.16°
Step-by-step explanation:
To solve for this question, we use Sine rule
Sin θ = Opposite/Hypotenuse
θ =??
Opposite = Height of the truck = 3 feet
Hypotenuse = length of the ramp = 17 feet
Hence
Sin θ = 3/17
Sin θ = 0.1764705882
θ = arcsin(0.1764705882)
θ = 10.16424862°
Approximately
10.16°
The angle the ramp makes with the ground is 10.16°
The angle that the ramp makes with the ground is 10.2 degrees
The set-up will give a right triangle.
Given the following parameters:
Length of the ramp = 17feet (hypotenuse)Height of the truck = 3feet (opposite)To get the angle of elevation, we will use the SOH CAH TOA identity as shown:
Sin theta = opp/hyp
Sin theta = 3/17
theta = arcsin(3/17)
theta = 10.2 degrees
Hence the angle that the ramp makes with the ground is 10.2 degrees
Learn more on trigonometry here: https://brainly.com/question/24349828
Find the interest rate implied by the following combinations of present and future values:
Present Value Years Future Value Interest Rate
$310 12 496 %
138 5 194 %
210 8 210 %
Answer:
The interest rates implied by the combinations of present and future values are:
Present Value Years Future Value Interest Rate
$310 12 496 3.994%
138 5 194 7.049%
210 8 210 -0.000%
Step-by-step explanation:
a) Data and Calculations:
Present Value Years Future Value Interest Rate
$310 12 496 3.994 %
138 5 194 7.049%
210 8 210 -0.000%
b) You will need an annual return rate of 3.994% to reach the future value of $496.00.
FV (Future Value) $496.00
PV (Present Value) $310.00
N (Number of Periods) 12.000
I/Y (Interest Rate) 3.994%
PMT (Periodic Payment) $0.00
Starting Investment $310.00
Total Principal $310.00
Total Interest $186.00
c) You will need an annual return rate of 7.049% to reach the future value of $194.00.
FV (Future Value) $194.00
PV (Present Value) $138.00
N (Number of Periods) 5.000
I/Y (Interest Rate) 7.049%
PMT (Periodic Payment) $0.00
Starting Investment $138.00
Total Principal $138.00
Total Interest $56.00
d) You will need an annual return rate of -0.000% to reach the future value of $210.00.
FV (Future Value) $210.00
PV (Present Value) $210.00
N (Number of Periods) 8.000
I/Y (Interest Rate) -0.000%
PMT (Periodic Payment) $0.00
Starting Investment $210.00
Total Principal $210.00
Total Interest $-0.00
please help
simplify this
2³+4×8
Answer:
40
Step-by-step explanation:
2³ + 4×8
8 + 32 = 40
PEMDAS:
Handle the exponents, multiply, then add.
Solve for x. What is the root? If there is no root, choose none.
Answer:
4
Step-by-step explanation:
What is the y coordinate of point T? Write a decimal coordinate. - 3 . 3 -777 1.7
Answer:
I never learned that sorry ♀️
HELP ME PLEASE!! This is due today!! Use kcf and show ur work plzz!
Answer:
[tex]\frac{3}{2} \textrm{ cups of flour}[/tex]
Step-by-step explanation:
the ratio of cups of flour per 1 cup of water:
[tex]\frac{2\frac{1}{2}}{1\frac{2}{3}}=\frac{\frac{5}{2}}{\frac{5}{3}}=\frac{3}{2}[/tex]
order the number from least to greatest: 10^5 10^-99 10^-17 10^14 10^-5 10^30
Answer:
I think it goes like this: 10^-99, 10^-17, 10^-5, 10^5, 10^14, 10^30
Step-by-step explanation:
Does the set of ordered pairs {(0,4),(2,6),(4,2), (6,2), (8,6)} represent a function?
Answer:
yes it does
Step-by-step explanation:
the x numbers do not repeat
Yes, the given relation is function.
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
set of ordered pairs= {(0,4),(2,6),(4,2), (6,2), (8,6)}
As, we know that the function has one input with corresponding one output.
So, we can see from the ordered pair that no input value have repeated and have respective output.
Hence, the relation is function.
Learn more about function here:
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Which expression is equivalent to 1/3 p + 15
1/3 (p+45)
1/3 (p+5)
3 (p+45)
3(p+5)
Answer:
[tex]1/3 (p+5) [/tex]
Step-by-step explanation:
[tex]1/3 p + 15 = \frac{1}{3} p + 15 = \\ \frac{p + 5}{3} = \frac{1}{3} ( p+ 5)[/tex]
♨Rage♨
Math help! DUE IN 30 MINUTES (50 points)
Answer: i won't tell you the answer but i will break it up for you so i can make easier for you
Step-by-step explanation: (-5x^2) (y^c) x (x^5) (2y^3)(5x^7)(y^6)(2) Or for the ones for numerator and denominator you can do this
(x^5)
____ = ( -5x^7)
______
(2)
(2y^3)
So for the one with numerator and denominator i got a stuck on a little but i tried doing this way if you like this way i can keep it like this if you dont i can change it
At a certain intersection, the traffic light is red for 15 seconds, yellow for 5 seconds and green for 30 seconds. Find the probability that, of the next eight cars that arrive randomly at the light, exactly three will be stopped by a red light.
Answer: 0.254
Step-by-step explanation:
Given that:
Number of cars = number of trials (n) = 8
Number that will be stopped by a red light = Numbe rof successes (r) = 3
Probability of success :
Red light = 15 seconds ; yellow = 5 seconds ; green = 30 seconds
P(red) = p(success) = p = 15 / (15 + 5 + 30) = 15/50 = 3 /10 = 0.3
1 - p = 1 - 3/10 = 7/10 = 0.7
Using the binomial probability relation:
p(exactly 3):
P(8, 3) = 8C3 * p^3 * (1-p)^(8-3)
P(8, 3) = 8C3 * p^3 * (1-p)^5
P(8, 3) = 56 * 0.3^3 * 0.7^5
= 0.25412
= 0.254
Someone please help
Me with this
Answer:
y= 1/3x + 1.
Step-by-step explanation:
Suppose the scores on a chemistry test were normally distributed with a mean of 78 and a standard deviation of 10. If a student who completed the test is chosen at random,a.Find the probability that the student earned between 80 and 90 points.b.Find the probability that the student earned either less than 80 points or more than 90 points.
Answer:
a) 0.30567
b) 0.69433
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
,a.Find the probability that the student earned between 80 and 90 points.
For 80 students
z = 80 - 78/10
= 0.2
P-value from Z-Table:
P(x = 80) = 0.57926
For 90 students
z = 90 - 78/10
= 1.2
P-value from Z-Table:
P(x = 90) = 0.88493
The probability that the student earned between 80 and 90 points.
P(x = 90) - P(x = 80)
= 0.88493 - 0.57926
= 0.30567
b.Find the probability that the student earned either less than 80 points or more than 90 points.
For less than80 students
z = 80 - 78/10
= 0.2
P-value from Z-Table:
P(x < 80) = 0.57926
For 90 students
z = 90 - 78/10
= 1.2
P-value from Z-Table:
P(x<90) = 0.88493
P(x>90) = 1 - P(x<90) = 0.11507
The probability that the student earned either less than 80 points or more than 90 points.
= 0.57926 + 0.11507
= 0.69433
2) Which of the following equations has a slope (m) of -3 and a y-intercept 1 point
(b) of 8? *
O y = -3x - 8
O y=-3x + 8
Oy= 8x - 3
In Fairbanks, Alaska, the average temperature in January is -9.7°F. The
average temperature in July is 62.4°F. On average, how many degrees
colder is Fairbanks in January than in July?
Answer:
72.1 degrees... 72 point 1 degress in case you cant see the ( . )
Step-by-step explanation:
62.4 minus -9.7= is 72.1
Find the quotient. Round to the nearest hundredth. 8,240 ÷ 30
SHNERPY GERPBY
Put the steps of the Electoral College Process in order.
Question 5 options:
First candidate to 270 electoral votes wins the presidency.
Electors cast the official vote.
Popular vote.
Whoever wins the state, gets all of that state's electoral votes.
Answer: (number 1 is the popular vote) (number 2 is whoever wins the state gets all the electoral votes) (number 3 is electors cast the official vote) (and finally at number 4 the first candidate to 270 wins the election)
1/9 , Find the quotient in its simplest form .
Answer:
the simplest form of 1/9 is: 1/9
Step-by-step explanation:
1. A number that will divide evenly into both the numerator and denominator so it can be reduced. No such number exists for 1 and 9.
2. The numerator must be greater than the denominator, an improper fraction, so it can be converted to a mixed number. 1 is not greater than 9.
Can you please help me?
Thank you so much☺
Answer:
Answer: 1. x = 10, y = 6 2. x = 12, y = 3 3. x = 5, y = 2.5 4. x = 1, y = 14 5. x = 0.6, y = 7 6. x = 11, y = 1
Step-by-step explanation:
Charlotte and Barry are each assigned a paper for a class they share. Charlotte decides to write 12 pages at a time while Barry decides to write 2 pages at a time. If they end up writing the same number of pages, what is the smallest number of pages that the papers could have had?
Answer:
12 ( or 24, depending on what the question is asking)
Step-by-step explanation:
The lowest common multiple of 12 and 2 is 12.
If Charlotte doesn't write anymore pages after writing the original twelve, and Barry writes 2 pages six times, they both write the same number of pages. So, the smallest number of pages is 12
However, if the question is asking for the smallest total number of pages, then the answer is 24 since they both write 12 pages each.
What is the image point of
(1,4)(1,4)
(1,4) after a translation left 5 units and down 5 units?
Answer:
(-4,-1)
Step-by-step explanation:
1. Rosalie bought 0.2503 kg of garlic, 0.17 kg tomatoes, 2.05 kg of onions and 1.12 kg of
ginger. What was the total weight of this item?
answer is 3.5903 or 3 kg 5903 gram
explain why the answers are different.
The first question shows how the value of x is bigger than the value of -3 while the second question shows how the value of x is smaller than the value of -3.
Hope this helps!
7. Aluminum has 3 valence electrons. What property of an element can be determined by
the number of valence electrons?
a Group/family
b. Metal, Nonmetal, or Metalloid
C. Reactivity
d. Atomic Number
If twice the number, added to 3 is divided by the number plus 9, the result is three halves. Find the number
Answer:
x=21
Step-by-step explanation:
(3+2x)/(x+9)=3/2
(x+9)(3+2x)=(3/2)(x+9)
3+2x=(3x+27)/2
2(3+2x)=3x+27
6+4x=3x+27
x=21
A goose is flying horizontally at an altitude of 300 ft and a speed of 50 ft/sec passes directly over a pond. Find the rate at which the distance from the goose to the pond is increasing when it is 500 ft away from the pond.
Answer:
The rate at which the distance from the goose to the pond is increasing is approximately 42.875 feet per second.
Step-by-step explanation:
We assume that goose is flying at constant velocity. After reading carefully the statement of the problem, we create the following geometrical diagram, which is included at the end of this explanation and represents the following Pythagorean identity:
[tex]x^{2}+y^{2} = r^{2}[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Horizontal distance of the goose from pond, measured in feet.
[tex]y[/tex] - Vertical distance of the goose from pond, measured in feet.
[tex]r[/tex] - Resultant distance of the goose from pond, measured in feet.
We find the rate of change in time at which resultant distance is increasing by differentiating on (Eq. 1):
[tex]2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y = 2\cdot r \cdot \dot r[/tex]
[tex]x\cdot \dot x + y\cdot \dot y = r\cdot \dot r[/tex]
[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (Eq. 2)
Where:
[tex]\dot x[/tex] - Rate of change of horizontal distance, measured in feet per second.
[tex]\dot y[/tex] - Rate of change of vertical distance, measured in feet per second.
[tex]\dot r[/tex] - Rate of change of resulting distance, measured in feet per second.
If we know that [tex]x = 500\,ft[/tex], [tex]y = 300\,ft[/tex], [tex]\dot x = 50\,\frac{ft}{s}[/tex] and [tex]\dot y = 0\,\frac{ft}{s}[/tex], the rate at which the distance from the goose to the pond is increasing is:
[tex]\dot r = \frac{(500\,ft)\cdot \left(50\,\frac{ft}{s}\right)+(300\,ft)\cdot \left(0\,\frac{ft}{s} \right) }{\sqrt{(500\,ft)^{2}+(300\,ft)^{2}}}[/tex]
[tex]\dot r \approx 42.875\,\frac{ft}{s}[/tex]
The rate at which the distance from the goose to the pond is increasing is approximately 42.875 feet per second.
the graph shows favorite sports among third graders in a school how many third graders pick basketball or baseball than football as their favorite sport
Answer:
do you have the graph?
Step-by-step explanation:
The scores for math test #3 were normally distributed. If 15 students had a mean score of 74.8% and a standard deviation of 7.57, how many students scored above an 85%?
Answer: 1 student scored above an 85%.
Step-by-step explanation:
Let X = percentage score in test (normally distributed).
Given: Sample size = 15 , mean score : [tex]\mu[/tex]= 74.8% = 0.748 ,standard deviation : [tex]\sigma=7.57[/tex]
Now, The probability that student scores above 85%:
[tex]P(X>85)=P(\dfrac{X-\mu}{\sigma}>\dfrac{85-74.8}{7.57})\\\\=P(Z>1.347)\\\\=1-P(Z<1.347)\\\\=1-0.9110= 0.089[/tex]
Probability that student scores above 85% = 0.089
Number of students scored above an 85% = 0.089 x 15 = 1.335 ≈ 1
hence, 1 student scored above an 85%.
what is the bed what is it
Answer:
A bed is a type of object a person uses to sleep on. It usually contains blankets and pillows
Step-by-step explanation:
Can i have brainliest?
Personal Finances Practice Active 1 2 You are starting a new job in sales for the company Buy 'n Large. Your hourly wage is $10.00 per hour and you get time and a half for anything over 40 hours. Based on a 5-day work week, 8-hour day, and 52 week year, determine your annual gross base salary a $21,650 C. $20,800 b. $18,798 d. $19,980
Answer:
C.20,800
Step-by-step explanation:
10.00 per hour so 10x8=80
then 80x5=400
400x52=20,800
After the first essay examination in a class, a random sample of five papers was selected. The grades were 60, 75, 80, 70, and 90. What would be the 90% confidence interval for the mean grade of all the students?
Answer:
68.6433≤x≤82.3568
Explanation
confidence interval formula is expressed as
CI = xbar ± z × S/√n
xbar is the mean
z is the z score at 90% = 1.645
s is the Standard deviation
N is the sample size = 5
xbar = 60+75+80+70+ 90/5
xbar = 375/5
xbar = 75
Get standard deviation
SD =√\sum(x-xbar)²/N
SD = √(60-75)²+(75-75)²+(80-75)²+(70-75)²+(90-75)²/5
SD = √15²+0²+5²+5²+15²/5
SD = √225+50+225/5
SD = √500/5
SD =√100
SD = 10
Substitute the derived values into the formula
CI = 75±1.645 × 10/√5
CI = 75 ± (1.645×4.4721)
CI = 75±7.3568
CI = (75-7.3568, 75+7.3568)
CI = (67.6433, 82.3568)
Hence the 90% confidence interval of the student is:
68.6433≤x≤82.3568
