One end of a ramp is raised to the back of a truck 5 feet above the ground. 1 point
If the length of the ramp is 8 feet, what is the approximate measure of the
angle the ramp makes with the ground? Round your answer to the nearest
tenth of a degree.
38.7°
58.0°
32.0
51.3
Answers
Answer:
38.7°
Step-by-step explanation:
You are basically looking at a triangle with a 90° angle (check picture).
Since we are looking for the ramp's angle and are given the length of the opposite and the hypothenuse, we have to solve the following equation:
[tex]sin (\alpha) = opposite / hypothenuse= 5 ft/8ft[/tex]
which is equivalent to
[tex]\alpha = sin^{-1}(5/8)\approx 38.7\deg[/tex]
Related Questions
The function f(x)=2000(1.05)^(x) models a population of butterflies after x years. What will the population be in 7 years? plz help quick
Answers
Answer:
About 2,800.
Step-by-step explanation:
2,000(1.05)^x
x =7.
2,000(1.05)^7
find 1.05 to the power of 7, which is 1.4071....
then times 1.4071... by 2,000. You will get 2,814.2 - or about 2,800.
The population of butterflies after 7 years will be approximately 2814 butterflies.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
The formula f(x) = 2000(1.05)ˣ can be used to model the population of butterflies after x years, where x is a non-negative integer.
Here, the initial population is 2000.
To find the population of butterflies after 7 years, we can substitute x = 7 into the given function and evaluate:
f(7) = 2000(1.05)⁷
Using a calculator, we get:
f(7) ≈ 2814
Therefore, the population of butterflies after 7 years will be approximately 2814 butterflies.
Learn more about exponential function here:
brainly.com/question/11487261
#SPJ3
No it's not is 67 and 23
Answers
Answer:
What?
Step-by-step explanation:
I don't understand.
This data gives the average number of hours different students spend on the computer each day.
Average time (hours): 1.6, 2.0, 2.0, 2.0, 1.8, 1.8, 1.5, 2.0, 1.9, 1.6, 1.9, 1.7, 1.6, 1.6, 2.0, 1.8, 1.5, 2.0
Create a line plot to display this data.
To create a line plot, hover over each number on the number line. Then click and drag up to plot the data.
Answers
Answer:
2 on 15, 4 on 16, 1 on 17, 3 on 18, 1 on 19 5 on 20
Step-by-step explanation:
I took the test <>_<>
lowest common factor of 72 and 108
Answers
Answer:
The lowest common factor of 72 and 108 is 216
In the evening, a water tank contained 30cm of water. A few days later, it contained 21 cm of water. Ahmed claims that there is a 30% decrease. is Ahmed correct
Answers
30 x .30 = 9 cm is a 30% decrease
30-9= 21 cm
A function, f(x), passes through the point (0,2). Another function is represented by the equation g(x)=x^2−2x−3. What is the y-intercept of g(x) and which function has the greater y-intercept
Answers
Answer:
The y-intercept of function f(x) is 2.The y-intercept of function g(x) is -3.Therefore, we conclude that function f(x) has a greater y-intercept.
Step-by-step explanation:
The y-intercept of any function can be determined by checking the value of y at x = 0.
Important Tip
A point where the graph meets the y-axis — y-intercept.Determining the y-intercept of the function f(x)
Given the function f(x) passes through the point (0,2).
It means at x = 0, the value of y = 2
Thus, the y-intercept of function f(x) is 2.
Determining the y-intercept of the function g(x)
Given the function g(x)
[tex]g\left(x\right)=x^2-2x-3[/tex]
substitute x = 0 in the function equation
[tex]g\left(0\right)=\left(0\right)^2-2\left(0\right)-3[/tex]
[tex]g\left(0\right)=0-0-3[/tex]
[tex]g\left(0\right)=-3[/tex]
It means at x = 0, the value of y = -3
Thus, the y-intercept of function g(x) is -3.
Conclusion:
The y-intercept of function f(x) is 2.The y-intercept of function g(x) is -3.As 2 > -3
Therefore, we conclude that function f(x) has a greater y-intercept.
Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answers
Answer:
1)105°
2) 45°
3)63°
4)108°
5)68°
Step-by-step explanation:
Hope this helps! :)
Will mark brainliest!
Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:
Part B: Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept.
BTW. PLESE DON'T ANSWER IF YOU DON'T KNOW.
Answers
Answer:
y = 0.44 x - 0.1
Step-by-step explanation:
Using the points (2.5, 1) and (27.5, 12) (first and last points of the plot - please see attached image), we obtain the following slope:
slope = (y2 - y1) / (x2 - x1)
slope = (12 - 1 ) / (27.5 - 2.5) = 0.44
Now we use this slope to complete the equation of the line through those points:
y = 0.44 x + b
1 = 0.44 (2.5) + b
1 = 1.1 = b
b = 1 - 1.1
b = - 0.1
Therefore, the equation of the line becomes:
y = 0.44 x - 0.1
Answer:
y = 0.44x + 0
Step-by-step explanation:
I am going to use the first and lowest and highest points on the graph to make an equation representing the approximate slope of this graph.
(2.5,1) and (27.5,12)
To find slope I am going to calculate change in y over change in x.
12 - 1 over 27.5 - 2.5 = 11/25 = 0.44
So far we have y = 0.44x + 0
To find "b" (the y-intercept) we are going to plug zero in for x, because the defintion of y-intercept is "the value of y when x = 0"
We get that the y intercept equals 0.
y = 0.44x + 0 or just y = 0.44x
I know I won't get brainliest, but hopefully, this helps, and you said that the other person couldn't get brainliest unless someone else answered, so here ya go!
(-5x+4) + -1 (x - 1)
Answers
Answer:
-6x+5Step-by-step explanation:
I assume you want to simplify this expression.
First take away the parenthesis.
-5x+4+-1x+1
Now combine like terms.
-5x+-1x=-5x-1x=-6x.
4+1=5
So -6x+5 is your answer.
plz help i have 4 ins
Answers
Determine the vertex of the function f(x) = 3x2 – 6x + 13. 1. Identify the values of a and b. a = and b = 2. Find the x-coordinate of the vertex. = 3. Find the y-coordinate by evaluating the function at the x-value found in the previous step. The vertex is.
Answers
Answer:
a = 3
b = -6
-b/2a = 1
The vertex is (1, 10)
find the area of the composite figure.
Answers
Answer:
24
Step-by-step explanation:
Answer:
83
Step-by-step explanation:
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. x^2+5/4x
Answers
Let's work backwards.
The answer will be in the form (x+a)^2 for any real number a
Now the expansion will be x^2+2ax+a^2.
We can see just from this that 2a=5/4
a=5/8
The result binomial should be x+5/8
Resulting binomial squared expansion should be x^2+5/4x+25/64
The term we need to add will be 25/64
if anyone knows the answer
Answers
Answer:
C. (x + 8) ( x - 8)
Step-by-step explanation:
x² - 64
= x² - 8²
= (x + 8) ( x - 8)
Hope it will help :)
A researcher is conducting a study of charitable donations by surveying a simple random sample of households in a certain city. The researcher wants to determine whether there is convincing statistical evidence that more than 50 percent of households in the city gave a charitable donation in the past year. Let p represent the proportion of all households in the city that gave a charitable donation in the past year. Which of the following are appropriate hypotheses for the researcher?
a. H_o : p=0.5 and H_a:p>0.5
b. H_o:p=0.5 and H_a:p≠0.5
c. H_o:p=0.5 and H_a:p<0.5
d. H_o:p>0.5 and H_a:p≠0.5
e. H_o:p>0.5 and H_a:p=0.5
Answers
Answer: a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].
Step-by-step explanation:
Let p represent the proportion of all households in the city that gave a charitable donation in the past year.
Reseracher wants to check whether p > 50% or p > 0.5
Since Alternative hypothesis contains ">, <, ≠" and null hypothesis is the opposite of alternative hypothesis.
So Null hypothesis: [tex]H_o: p=0.5[/tex]
Alternative hypothesis: [tex]H_a:p>0.5[/tex]
The correct option is a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].
Hellllllllppppp meeeee
Answers
Answer:
x=18°
Step-by-step explanation:
5x-18=4x
subtract 4x from both sides
x-18=0
add 18 to both sides
x=18°
3(x + 5) + 2(x – 4)
thank you if you answer this question
Answers
Answer:
5x + 7
Step-by-step explanation:
Distribute 3x + 15 + 2x - 8
Combine like-terms 5x + 7
Answer:
5x + 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3(x + 5) + 2(x - 4)
Step 2: Simplify
Distribute: 3x + 15 + 2x - 8Combine like terms (x): 5x + 15 - 8Combine like terms (Z): 5x + 7The wall street journal corporate perceptions study 2011 surveyed readers and asked how each rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of mangement and the reputation of the company were rated on an excellent, good, and fair catergorical scale. Assume sample data for 200 respondents below.
Reputation of Company
Quality of management Excellent Good Fair
Excellent 40 25 5
Good 35 35 10
Fair 25 10 15
A) use a .05 level of significance and test for independence of the quality of management and the reputation of the company. What is the p-value and what is your conculsion??
B) If there is a dependence or association between the two ratings, discuss and use the probabilities to justify your answer.
Answers
Answer:
Hello some parts of your question is missing below is the missing part
answer : A) p-value = 0.0019 ,
The level of significance ( 0.05 ) > p-value ( 0.0019 )
B) There is no dependence between the two ratings
Step-by-step explanation:
A) using a 0.05 level of significance and test for independence of the quality of management
Test statistic : [tex]X^{2}[/tex] ∑ ( Oi - Ei )^2 / Ei
= [(40-35)^2 / 35 ] + [(25-24.5)^2 / 24.5 ] + [(5-10.5)^2 / 10.5] + [(35-40)^2 / 40] + [(35-28)^2 / 28] + [(10-12)^2 / 12] + [ (25-25)^2 / 25 ] + [(10-17.5)^2 / 17.5 ] + [(15-7.5)^2 / 7.5] = 17.03
p-value = 0.0019
Df = 4 ,
The level of significance ( 0.05 ) > p-value ( 0.0019 )
B) There is no dependence between the two ratings
Please help with this area assignment
Answers
Answer:
375
Step-by-step explanation:
15 times 25 equals 375
A clubs first meeting was attended by 2 people. The second meeting was attended by 4 times as many people as the first meeting. How many people attended the second meeting?
Answers
Answer:
The answer would be 8 people attended in the second meeting.
Step-by-step explanation:
Multiply 2 by 4 to get 8.
Sampson has a list of items that are on sale to pick up at the store. The sale items are the following:
Ice cream – $1.89
Sweet corn – 3 for $1
Bananas – $0.49 per pound
Sampson buys 1 carton of ice cream, 4 ears of corn, and 2.5 pounds of bananas. His receipt is shown below.
Swt corn 2 3/$1 $0.67
Bananas 2.5 lb 0.49 $1.23
Ice crm 1 2.49 $2.49
Store discount for ice crm $0.60 -$0.60
Swt corn 2 3/$1 $0.67
Determine if Sampson's receipt is correct.
a.
Yes, Sampson's receipt is correct.
b.
No, Sampson paid too much for corn.
c.
No, Sampson paid too much for ice cream.
d.
No, Sampson paid too much for bananas.
The Answer is A
Answers
Answer:
the answer is A) Yes, Sampson's receipt is correct.
Step-by-step explanation:
Answer:
A
Step-by-step explanation: edge
Simplify -6X - 3 + 2x +1
Show Your Work
Answers
You have to collect like terms
-4 x -3 + 1
Explain the sum
-4 x -2
Then the solution would be = -4x -2
Find the exact length of the 3rd side 2 7
Answers
A circular plate has circumference 22 inches. What is the area of this plate? Use 3.14 for it.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
Answers
Answer:
38.5 in squared
Step-by-step explanation:
Can anyone help me with my Geometry question?
Answers
Answer:
5.37ft^2
Step-by-step explanation:
Area of the square minus area of the circle, so...
Area of the square is 5x5=25
Area of the circle is pi*2.5^2=19.63
25-19.63=5.37ft^2
The answer is 5.37ft^2
A boat can travel 77 9/16 nautical miles in 8 1/2 at how many knots is the boat traveling
Answers
Divide miles by time:
77 9/16 miles / 8 1/2 hours =
Rewrite as I’m proper fractions:
1241/16 / 17/2
Flip the second fraction over and multiply:
1241/16 x 2/17 = (1241x2)/(16x17) =
2482/272 = 9 1/8 miles per hour
Hi there!
Simplify each terms:
[tex]77\frac{9}{16}*8\frac{1}{2}=77\frac{9}{16}*8\frac{8}{16}[/tex]
Divide each terms:
[tex]77\frac{9}{16}*8\frac{8}{16}=9\frac{2}{16}[/tex]
Simplify terms:
[tex]9\frac{2}{16}=9\frac{1}{8}[/tex]
Final Result:
[tex]9\frac{1}{8}[/tex]
A new tire had a tread depth of
5
8 in. After driving one year the tire had
17
32 in. of tread remaining. What percent of the tread was worn?
Answers
Answer:
15%
Step-by-step explanation:
3/5 x 3/5 is equal to 3/5 , since 3/5 is being multiple by a value equal to 3/5 true or false ?
Answers
if the are 5 buses and the quatation amount is R8,100 how much will each person pay
Answers
Answer:
R1620
Step-by-step explanation:
1620 ×1=1620
1620×2=3240
1620×3=4860
1620×4=6480
1620×5=8100
The product of an irrational number and a rational number will be
Answers
Answer:
an irrational number
Step-by-step explanation:
