Ramps in a parking garage need to be safe and steep. The maximum safe incline for a ramp at 8.5°. Is this ramp safe? Explain how you know using your math to justify your answer.
NEED ASAP PLEASE
Answers
Answer:
No. It is not safe.
Step-by-step explanation:
If the maximum safe incline for a ramp is said to be 8.5°, it means that the incline of any ramp that is greater than 8.5° is not safe.
Let's find the angle measure of the incline in the diagram given to ascertain whether it is safe or not.
Opposite side to angle of inclination = 20
Adjacent side to angle of inclination = 100
Apply the trigonometric function, TOA, which is:
Tan θ = Opp/Adjacent
Tan θ = 20/100
Tan θ = 0.2
θ = Tan^{-1}(0.2)
θ = 11.3099325° ≈ 11.3°
Angle of inclination for the ramp shown = 11.3°.
This is not safe because it has exceeded the maximum safe incline for a ramp which should be 8.5° maximum.
Related Questions
The figures below show the front view and top view of a rectangular prism that is packed with unit cubes. What is the volume of the prism if there are no gaps or overlaps in the unit cubes? ____ cubic unit
Answers
Answer:
60 cubic units
Step-by-step explanation:
The figure is 5 tall, so just add 5 for each square on the top view.
The volume of the rectangular prism is 60 cubic units
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the volume of the rectangular prism be represented as V
Now , the equation will be
The length of the rectangular prism = 3 units
The width of the rectangular prism = 4 units
The height of the rectangular prism = 5 units
Now , the volume is calculated by
Volume of Rectangle = Length x Width x Height
Substituting the values in the equation , we get
Volume of Rectangle V = 3 x 4 x 5
On simplifying the equation , we get
Volume of Rectangle V = 60 cubic units
Therefore , the value of V is 60 cubic units
Hence , the volume of the rectangular prism is 60 cubic units
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n + 9 = 14 solve isolate the variable
Answers
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
n + 9 = 14
=> n + 9 - 9 = 14 - 9. [For isolating the variable we subtract 9 from both sides]
=> n = 5 (Ans) [ Variable isolated]
Paulo missed three out of 15 questions on a quiz, or 3/15. Write the fraction of questions Paula answered correctly as a decimal. What is the answer??
Answers
Step-by-step explanation:
12/15 in a calculator
0.8
What is the percent of increase from 54 to 81?
Answers
Answer:
50• A change from 54 to 81 represents a positive change (increase) of 50%
Convert 65 millimeters to centimeters
Pls help me on this question
Answers
Answer:
Its 6.5
Step-by-step explanation:
Find the area of the kite.
Answers
Answer:
Step-by-step explanation:
width of kite=2[√(17²-15²)]=2√(289-225)=2√64=2×8=16
area of kite=(22×16)/2=176 sq. units
Please help me on this
Answers
And 5 times 7 = 35 for the big box
And the top are 2 little boxes of an area of 4
35+8=43
Answer:
Step-by-step explanation:
Find the total surface area of this cone.
Leave your answer in terms of n.
3 cm
h
4cm
SA = [? ]cm
Answers
Answer:
36
Step-by-step explanation:
Suppose that Upper X has a discrete uniform distribution f left-parenthesis x right-parenthesis equals StartLayout left-brace1st Row 1st Column 1 divided by 3, 2nd Column x equals 1,2,3 2nd Row 1st Column 0, 2nd Column otherwise EndLayout A random sample of n equals 33 is selected from this population. Find the probability that the sample mean is greater than 2.1 but less than 2.4. Express the final answer to four decimal places (e.g. 0.9876).
Answers
Answer:
the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444
Step-by-step explanation:
Given the data in the question;
x f(x) xp(x) x²p(x)
1 1/3 0.33333 0.33333
2 1/3 0.66667 1.33333
3 1/3 1.00000 3.0000
∑ 2.0000 4.6667
∑(xp(x)) = 2
∑(x²p(x)) = 4.6667
Variance σ² = ∑(x²) - ∑(x)² = 4.6667 - (2)² = 4.6667 - 4 = 0.6667
standard deviation σ = √variance = √0.6667 = 0.8165
Now since, n = 33 which is greater than 30, we can use normal approximation
for normal distribution z score ( x-μ)/σ
mean μ = 2
standard deviation = 0.817
sample size n = 33
standard of error σₓ = σ/√n = 0.817/√33 = 0.1422
so probability will be;
p( 2.1 < X < 2.4 ) = p(( 2.1-2)/0.1422) < x"-μ/σₓ < p(( 2.4-2)/0.1422)
= 0.70 < Z < 2.81
= 1 - ( 0.703 < Z < 2.812 )
FROM Z-SC0RE TABLE
= 1 - ( 0.25804 + 0.49752 )
= 1 - 0.75556
p( 2.1 < X < 2.4 ) = 0.2444
Therefore, the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444
Substitute t = 3 and t = 6 to determine if the two expressions are equivalent. 3 (2 t + 5) 6 t + 15 Which statements are true? Select the three correct answers. The value of both expressions when t = 3 is 33. The value of both expressions when t = 3 is 23. The value of both expressions when t = 6 is 41. The value of both expressions when t = 6 is 51. The two expressions are equivalent. The two expressions are not equivalent.
Answers
Answer:
If t= 6
3 (2 x 6 + 5) 6 x 6 + 15
3 (12+5) 36 + 15
3 x 17 =51
= 51
The value of both expressio
Step-by-step explanation:
The value of both expressions when t=6 is 51
When t = 3
3(2 x 3 + 5) 6 x 3 + 15
3 (6 +5) 18 + 15
3 x 11 =33
= 33
The value of both expressions when t= 3 is 33
Answer:
A. The value of both expressions when t=3 is 33
D. The value of both expressions when t = 6 is 51.
E. The two expressions are equivalent.
Step-by-step explanation:
Choose the correct answer.
Answers
Answer:
9
Step-by-step explanation:
(✿◡‿◡) <-- she wants brainliest
The answer is 9
Step-by-step explanation:
I BELIEVE IT IS 9 N I HOPE THIS HELPS
har says that ¼ of a cereal bar is larger than ⅓ of the cereal bar. Is he correct? Explain your thinking/reasoning.
Answers
Three times a number plus nine is five
Answers
Help!!!!!! Please!!!!
Answers
Answer: 30u
Step-by-step explanation:
If GY is 6u long, x=6. (4x-2) is 4x6 which is 32, 32 - 2 = 30u long
(U = units)
find the missing lengths of the sides
Answers
Answer:
a=9, c=19
Step-by-step explanation:
Aight so basically in 30, 60, 90 triangles there is a formula for the sides
the hypotenuse(the longest side)=2a
The tiny side (the smallest side)=a
and the middle child =[tex]a\sqrt{3}[/tex]
Based on that we see that a is 9
and since c=2a then it's 18
Explanation: I took this test and got it right
Convert 65 millimeters to centimeters
Pls use step by step pls
Answers
Answer:
65 mili= 6.5cm
Step-by-step explanation:
divide the length value by 10
Divide 65 by 10 to get the number of centimetres:
65mm/10mm=6.5cm
Hope this helps!!
What is 30% of $15.00 ?
Answers
Answer:
4.5
Good luck!!
15.00 divided by 0.30 is 4.5
can somebody help me?
Answers
Answer:
D
Step-by-step explanation:
Which of the following expressions are equivalent to 256^x? Select all that apply.
a. 8^2x
b. 4^4x
c. (64^x)^2
d. (16^x)^2
e. 2^8x
Answers
Answer:
d
Step-by-step explanation:
i did it on eduhguenity
The solutions which satisfy the equation A = 256ˣ are
Option B. 4⁴ˣ
Option D. 16²ˣ
Option E. 2⁸ˣ
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by A = 256ˣ
a)
The value of equation B = 8^2x
B = 8²ˣ
On simplifying the equation , we get
B = 8²⁽ˣ⁾
B = 64ˣ
And the value of B ≠ A
b)
The value of equation B = 4^4x
B = 4⁴ˣ
On simplifying the equation , we get
B = 4⁴⁽ˣ⁾
B = 256ˣ
And the value of B = A
c)
The value of equation B = (64^x)^2
B = (64ˣ)²
On simplifying the equation , we get
B = 64²⁽ˣ⁾
B = 4096ˣ
And the value of B ≠ A
d)
The value of equation B = (16^x)^2
B = (16ˣ)²
On simplifying the equation , we get
B = 16²⁽ˣ⁾
B = 256ˣ
And the value of B = A
e)
The value of equation B = 2^8x
B = (2⁸)ˣ
On simplifying the equation , we get
B = 256⁽ˣ⁾
And the value of B = A
Hence , the equations which satisfy are
Option B. 4⁴ˣ
Option D. 16²ˣ
Option E. 2⁸ˣ
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Please help
Answer above look at picture
Answers
Answer:
It is to represent the area of the park.
Step-by-step explanation:
The length and width of the park would be inches, miles, or meters to describe the linear aspect of the park.
If the park was, for example, 2 miles long and 3 miles wide, you would say the park is 6 miles squared. This is to describe the square area of the park. Square units could be replaced by squared acres, miles, or meters depending on the size of the park. This is to represent the area of the park.
A rectangular flag has an area of 3/8 square foot. The width is 3/4 foot. What is the length of the flag?
Answers
Answer:
1/2
Step-by-step explanation:
Area= 3/8
Width=3/4
Length=?
3/8=0.375
3/4x1/2=3/8 (0.375)
You may not know this, but you are home to a colony of bacteria. You may also not know it, but the health and happiness of that colony of bacteria have a direct effect on your own health and happiness. In short, if we are what we eat, then we may need to make bacteria part of our balanced breakfast.
Microbes are single-celled organisms. They are literally everywhere. Microbes are in the air we breathe, on the surfaces of everything we touch, and inside our bodies. Microbes can be bacteria, fungi, protozoa, or viruses.
A few years ago, scientists began studying the microbial life of our stomachs. Called The American Gut project, this study aims to understand the life of the bacteria that live in our digestive system. According to an article in the New York Times by Michael Pollan, the goal is to gather information on the types and amounts of bacteria in the human gut. Scientists want to describe what a normal healthy microbe and human relationship should look like inside our digestive system. While the research is still in the very early stages, scientists have learned the following:
The strongest and healthiest microbe systems are those with a lot of variety.
The guts of Americans have much less variety than the guts of other populations.
Diets that include a lot of processed foods support less variation in bacteria.
Studying the makeup of our individual bacteria communities will help scientists get a better idea of which bacteria help human bodies. We used to think that bacteria in our bodies were invaders. This new research suggests that bacteria are part of the protective army that keeps us healthy. In fact, our bodies have a hard time recovering from medicines like antibiotics because they disrupt the balance of helpful bacteria. It seems clear from the early evidence that living with bacteria helps us resist invasion from things that make us sick.
Scientists have also learned that microbes might help our guts do things like process vitamins and important nutrients. Some microbes may help us deal with stress, or adapt to changes. Furthermore, there may come a time—in your lifetime—when illness is treated not with antibiotics, but with extra-special microbes that help us defend our bodies from illness.
Based on "A Brief Study of Guts," which best summarizes the goal of new research into bacteria and microbes?
A. To collect a wide variety of microbes in all mammals including humans
B. To find ways to increase our intake of helpful microbes
C. To find evidence to decrease the use of antibacterial soap
D. To understand how microbes populate the human body and what benefit they provide
Answers
Answer:
The Right answer is To understand how microbes populate the human body and what benefit they provide.
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
They are telling you, hey! They are helpful!
help please!!!! don't understand
Answers
23-17=6
4x=6
6/4=1.5
X=1.5
Hope this helps
Answer:
1.5
Step-by-step explanation:
23-17=6
6/4= 1.5
Prove (triangle)ABC is congruent to (triangle) DEF using ASA
Answers
Answer/Step-by-step explanation:
Two triangles can be proven to be congruent to each other if two angles and an included side of one triangle is congruent to the corresponding two angles and included side of the other triangle.
Two angles (<C and <A) in ∆ABC, are congruent to two angles (<D and <F) in ∆DEF. Also, the included side (AC) in ∆ABC is congruent to the included side (DF) in ∆DEF.
Therefore, based on the Angle-Side-Angle Congruence Theorem, ∆ABC is congruent to ∆DEF.
Answer:
Answer/Step-by-step explanation:
Two triangles can be proven to be congruent to each other if two angles and an included side of one triangle is congruent to the corresponding two angles and included side of the other triangle.
Two angles (<C and <A) in ∆ABC, are congruent to two angles (<D and <F) in ∆DEF. Also, the included side (AC) in ∆ABC is congruent to the included side (DF) in ∆DEF.
Therefore, based on the Angle-Side-Angle Congruence Theorem, ∆ABC is congruent to ∆DEF.
Step-by-step explanation:
Solve the simultaneous equations y=x-2 and y=3x+5
Answers
Answer:
x = -7/2........y = -11/2
Step-by-step explanation:
..….................
Forgive me if wrong
Erin Thompson agreed to purchase a house for 97,900
Answers
Answer:
wow
Step-by-step explanation:
no way bro that's brazy
Simplify 1/2(8-4g) pls help me
Answers
Answer:
2(-g+2)
Step-by-step explanation
Answer: −2g+4
Step-by-step explanation:
I attached image of explanation! Hope this helps!
Calculate the current in an Inductor if the energy stored is 240J and the Inductance is 24H.
Answers
Answer:
Current, I = 4.47 Amperes.
Step-by-step explanation:
Given the following data;
Inductance = 24H
Energy stored, Eind = 240J
To find the current;
The energy stored in an inductor is given by the formula;
Eind = ½LI²
240 = ½*24*I²
Cross-multiplying, we have;
480 = 24I²
I² = 480/24
I² = 20
Taking the square root of both sides, we have;
Current, I = 4.47 Amp
Toni gives a cashier a $20 bill he is buying an item for $4.79 how much money should tony get back
Answers
Answer:
$15.21
Step-by-step explanation:
Answer:
15.21
Step-by-step explanation:
20−4.79
Subtract 4.79 from 20 to get 15.21.
15.21
y у
45°
x 100°
y = [?
Answers
The value of y is 55°.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
x and 100° together form a straight angle.
x + 100 = 180
x = 180 - 100
x = 80
Now,
45° + x + y = 180
45 + 80 + y = 180
y = 180 - 125
y = 55°
Thus,
y = 55°.
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