A road has a grade of 28.4%. This means that the road rises 28.4 ft over a horizontal distance of 100 ft. What angle does the hill make with a horizontal line? ROUND TO THE NEAREST DEGREE!
Please help!!!!!
The angle would be the tangent.
Tangent ( angle) = opposite leg/ adjacent leg
Tangent angle = 28.4/100
Angle = tan^-1(28.4/100)
Angle = 16 degrees
1. Name the two-dimensional shapes that when rotated around the vertical axis form the following three-dimensional solids?
Cone:
Cylinder:
Sphere:
2. Name four, three-dimensional solid objects found in your home, workplace, etc. , and tell what geometric solid each most closely represents.
Object 1:
Object 2:
Object 3:
Object 4:
3. State the volume formulas for a cylinder, sphere, pyramid, and cone.
a. Volume formula for a cylinder:
b. Volume formula for a sphere:
c. Volume formula for a pyramid:
d. Volume formula for a cone:
Problem 1
Answers:
Cone: TriangleCylinder: RectangleSphere: Circle------------------------
Explanation:
Imagine a fan blade rotating. As it rotates really quickly, it occupies a 3D space. Or perhaps imagining rotating eggbeaters is a better thing to have in mind. Those blades spin really fast to form a 3D shape. So that's what's going on with this problem. If you spin a triangle around an axis, a cone will form. The base of the triangle forms the base of the cone. Half the base of the triangle is the radius of the cone. The height of the triangle is the height of the cone.
Similarly, a rectangle rotated around its center axis forms a cylinder. Think of a revolving door. That's often a classic example. Finally, a circle spun around any of its diameters will form a sphere.
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Problem 2
Answers:
Object 1: Cup = CylinderObject 2: Ball = SphereObject 3: Funnel = ConeObject 4: Paper towel roll = Cylinder-------------------------------
Explanation:
Pick objects around your house that are fairly simple in design and resemble either a cylinder, sphere, or cone. A cup resembles a cylinder just it doesn't have a top to it. A ball is a 3D sphere that has an interior to it, unless the ball is filled with air. A funnel resembles a cone due to its triangular shape of sorts. A paper towel roll (the card board piece or the cardboard plus the actual paper towels) resemble a cylinder as well. You can pick any four other objects you have around your house such as a cylindrical speaker, batteries (shaped as a cylinder), soup cans (also cylinders), and so on.
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Problem 3
Answers:
a) volume of cylinder = pi*r^2*hb) volume of sphere = (4/3)*pi*r^3c) volume of pyramid = (1/3)*L*W*Hd) volume of cone = (1/3)*pi*r^2*h-------------------------------
Explanation:
These formulas are what you should memorize or have handy on a flashcard. It is possible to derive them, but it would require calculus to do so. Also, such a process is quite length. So memorization or flashcards are the better way to go.
For the cylinder and cone, r is the radius and h is the height. Note how the formulas are nearly identical except the cone has the (1/3) term. This shows that the cone's volume is 1/3 that of the cylinder's volume where they both have the same radius r and height h.
The sphere also deals with the radius r, but we don't have to worry about the height of the sphere (it's really just 2r).
For the pyramid, L,W,H represent the length width and height respectively. The length and width form the base of the pyramid. Recall that L*W*H is the volume of a rectangular block. The volume of a pyramid is 1/3 of that rectangular block's volume.
If all of a 2D object's sides and angles have different lengths, such shape is said to be irregular.
What is 2D shape?In geometry, a form or figure having length and breadth is referred to as a "2D shape." Due to the lack of a thickness, a third dimension, such as the case of a prism or a cube, two-dimensional or 2D objects are often measured in terms of their two faces.
'2D' refers for 2-dimensional. A 2D shape is any form that has two dimensions. Consider for a moment what it means to have two dimensions. We could only move backwards or forwards in a straight line if we only had one dimension to work with. One dimension is a line.
Cone: Triangle
Cylinder: Rectangle
Sphere: Circle
Therefore, if all of a 2D object's sides and angles have different lengths, such shape is said to be irregular.
To know more about 2D shape, here:
https://brainly.com/question/30162250
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Which angle is an exterior angle of the triangle?
Triangle L M N. Angle L is 1, angle M is 2, angle N is 3. Side M N extends to form angle 4.
A. 1
B. 2
C. 3
D. 4
Answer quick pls
Answer:
D
Step-by-step explanation:
Because it is on the outside
Answer:
its c becuase i did the test and got it correctomonzo
Step-by-step explanation:
Which division problem does the diagram below best illustrate?
anser fast 2.3 x (−1.2)= what for 79 points
Step-by-step explanation:
2.3 * (-1.2)
= -2.76.
Hence the answer is -2.76.
Answer:
[tex]\Large \boxed{\sf -2.76}[/tex]
Step-by-step explanation:
Timothy went to a baseball game. After the game, he wanted to ride the bus home. The red line and the blue line buses both stop at the stadium.
● A red line and a blue line bus both left the stadium at 4:00 p.m.
● Red line buses were scheduled to leave the stadium every 6 minutes.
● Blue line buses were scheduled to leave the stadium every 8 minutes.
If the buses run on schedule, when is the next time a red line and a blue line bus will leave together? Show your work.
Answer:
At 4:24 p.m.Step-by-step explanation:
We need to find the lowest number that is divisible by both 6 and 8.
LCM(6, 8) = 24So, next time is after 24 minutes and every 24 minutes after that.
4: 00 p.m. + 24 min = 4:24 p.m.Answer:
Solution :-For finding next time a red line and a blue line bus will leave together we will find LCM of 6 and 8.
LCM = (6,8) = 24
Now,
Let's find add the time to LCM
[tex] \tt \: 4 : 00 + 0 : 24 = 4 : 24[/tex]
Olivia drinks 64 ounces of water every day. At breakfast, she drinks 16 ounces. What percentage of water does she drink at breakfast?
Answer:
25%
Step-by-step explanation:
16/64 = .25 x 100 = 25%
What is 5x3,264-3
please help hurry test teacher mean!!!
Answer:
5x3=15
264-3=261
Step-by-step explanation:
Multiply 5x3 to get 15. And subtract 264 and 3 to get 261.
(sinA÷secA)÷(cosA÷sinA) =tan A
(Sin A/ secA) × ( sec A / cos A) = Sin A / cos A = tan A
Question should be cos A ÷ sec A
will give brainliest !
The state fair is a popular field trip destination. This year the senior class at High School A and
the senior class at High School B both planned trips there. The senior class at High School A
rented and filled 5 vans and 9 buses with 309 students. High School B rented and filled 12 vans
and 9 buses with 414 students. Every van had the same number of students in it as did the buses.
How many students can a van carry? How many students can a bus carry?
Answer:
15 students/van
26 students/bus
Using your own words or illustrations, explain the addition rule for equations. (in other words, don't just restate the rule word for word).
Step-by-step explanation:
This rule states that the same value can be added to both sides of an equation without interfering with the solving process of the equation
The Child Health and Development Studies investigate a range of topics. One study considered all pregnancies between 1960 and 1967 among women in the Kaiser Foundation Health Plan in the San Francisco East Bay area. Here, we study the relationship between smoking and weight of the baby. The variable smoke is coded 1 if the mother is a smoker, and 0 if not. The summary table below shows the results of a linear regression model for predicting the average birth weight of babies, measured in ounces, based on the smoking status ofthe mother. Estimate Std. Error t value Pr(>|t|)(Intercept) 123.05 0.65 189.60 0.0000smoke -8.94 1.03 -8.65 0.0000The variability within the smokers and non-smokers are about equal and the distributions aresymmetric. With these conditions satisfied, it is reasonable to apply the model. (Note that wedon't need to check linearity since the predictor has only two levels.)(a) Write the equation of the regression line.(b) Interpret the slope in this context, and calculate the predicted birth weight of babies born tosmoker and non-smoker mothers.(c) Is there a statistically significant relationship between the average birth weight and smoking?
Answer:
hmmmmmmmmmmmmmmmm...
pleaseeeee helppppp meee
Solve for x :)
6x + 4x – 6 = 24 + 9x
Answer:
x=30
Step-by-step explanation:
6x+4x-6=24+9x
combine like terms
10x-6=24+9x
add 6 on both sides
10x=30+9x
subtract 9x on both sides
x=30
Hope this helps! :)
The total cost y is proportional to the number of used books x purchased at a constant price of $4. What equation represents this relationship?
Answer:
Y=x+4
If you think about it it's basically a addition problem.
The difference between two-thirds of a number and 4 is –92.
Answer:
The difference between 4 is –92 is 132
Answer:
Given - The difference between two- third of a no. and 4 is (-92)
Let the no. be X
TO Find - The no.
Solution -
Let the no. be X
Two - third of a no. = 3/2x
according to the question equation made is-
2/3x - 4 = (-92)
2/3x = (-92)+ (4)
2/3x = ( -88)
X = (-88) × 3/2
X= ( -264/2)
X = (-132)
A restaurant chain with multiple branches would like to measure the effectiveness of a customer skills training program for its employees. A random sample of 30 branches is chosen, and the daily sales for these branches are recorded. All the employees at these branches then undergo a customer skills training program, and shortly thereafter the daily sales at these 30 branches are again recorded. (a) Which type of test should the company use to determine if the customer skills program helped increase sales? a. One sample t-test b. Paired t-test c. Chi-squared test of independence d. One proportion z-test OTwo sample t-test (independent means) (b) A Type II error in this context means the company finds evidence of an increase in sales, when in reality there is in sales.
Answer:
A) Option B: Paired t-test
B) The company finds "SUFFICIENT" evidence of an increase in sales, when in reality there is "A DECREASE" in sales
Step-by-step explanation:
A) Let's look at the options.
a) One sample t-test: This t-test is a statistical hypothesis test that's used to find out whether an unknown population mean has a different value from the sample mean.
b) Paired t-test: This is used to compare mean at different times from the same group.
c) Chi-squared test of independence: This test is one that is used to determine whether the associated variables are related or independent.
d) One proportion z-test: This test is used to compare an observed proportion to that of a theoretical proportion.
e) Two sample t-test: This is used to test if the unknown population mean that is gotten from two groups are equal or not.
Now, from the question, we see that A random sample of 30 branches is chosen, and the daily sales for these branches are recorded.
Later on, All the employees at these branches then undergo a customer skills training program, and shortly thereafter the daily sales at these 30 branches are again recorded.
This means that we are trying to compare the mean within the same group but at different times. This corresponds to the definition of Paired t-test.
B) A Type II error occurs when we accept a null hypothesis that is actually false.
The type II error in this case is that:
The company finds "SUFFICIENT" evidence of an increase in sales, when in reality there is "A DECREASE" in sales
Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.
6, 14, 6, 18, 9, 9, 12, 10, 11, 15
Which statement is true about the number of books packed to a box?
:Answer: The answer is C on Edge
Step-by-step explanation:
Answer:
C: The mean number of books to a box is 11.
Step-by-step explanation:
edg2020
Laura had 32 dollar off coupons for mini golf course but every buddy else had to pay nine dollars per person the full price what was the total cost of their group of eight to play mini golf
Yoda Soda is the intergalactic party drink that will have all your friends saying, "Mmmmmm, good this is!"
You are throwing a party, and you need 555 liters of Yoda Soda for every 121212 guests.
If you have 363636 guests, how many liters of Yoda Soda do you need?
liters
Answer:
15 litres
Step-by-step explanation:
Given
5 litres = 12 guests
Required
Determine the number of litres for 36 guests
Represent the required number of litres with L.
So, we have the following relationship:
[tex]5\ litres = 12\ guests[/tex]
[tex]L = 36\ guests[/tex]
Cross Multiply
[tex]L * 12\ guests = 5\ litres * 36\ guests[/tex]
[tex]L * 12= 5\ litres * 36[/tex]
[tex]12L = 180\ litres[/tex]
Solve for L
[tex]L = \frac{180\ litres}{12}[/tex]
[tex]L =15\ litres[/tex]
Hence, 15 litres are needed
Devaughn's age is two times Sydney's age. The sum of their ages is 18. What is Sydney's age?
Answer:
Sydney's Age is 6
Step-by-step explanation:
6 x 2 = 12
12 + 6 = 18
Answer:
Sydney is 6
Step-by-step explanation:
You get this by dividing 18 by three, as one set of 6 is Sydney while tcice that is her brother.
Val is going to plant vegetable seeds in one garden and 5b+2 vegetable seeds in another. How many seeds is Val going to plant?
Answer:
6d+2
Step-by-step explanation:my teacher told me
Pls I need help ASAP!
Mr.Roberson buys 18 quarts of milk each week for his 5 children. How many gallons of milk does this equal?
Answer:
4 and a half gallons of milk
Step-by-step explanation:
4 quarts = 1 gallon
16 quarts = 4 gallon
18 quarts = 4 1/2 gallons
Skylar owns a food truck that sells tacos and burritos. She sells each taco for $3 and each burrito for $6. Yesterday Skylar made a total of $600 in revenue from selling a total of 120 tacos and burritos. Graphically solve a system of equations in order to determine the number of tacos sold, x,x, and the number of burritos sold, yy.
Answer:
She sold 40 tacos and 80 burritos.
Step-by-step explanation:
Let's define the variables:
x = number of tacos sold
y = number of burritos sold
if Skylar sold x tacos, and each taco costs $3, then the total amount she gets is:
$3*x
And if she sold y burritos, and each one costs $6, then the total amount she gets is:
$6*y
combining these two, she has:
$3*x + $6*y
We know that she made a total revenue of $600, then we have the equation:
$3*x + $6*y = $600
We also know that in total, she sold 120 tacos and burritos, then:
x + y = 120
We have the system of equations:
$3*x + $6*y = $600
x + y = 120
To solve this, we need to start by isolating one of the variables in one of the equations, i will isolate x in the second equation:
x = 120 - y
Now we can replace that in the other equation to get
$3*(120 - y) + $6*y = $600
-$3*y + $360 + $6*y = $600
($6 - $3)*y + $360 = $600
$3*y + $360 = $600
$3*y = $600 - $360 = $240
y = $240/$3 = 80
She sold 80 burritos, and we know that:
x + y = 120
x + 80 = 120
x = 120 - 80 = 40
She sold 40 tacos.
Describe a real-world example on how coordinate geometry is/can be used in the real-world. Then, create a sample question based on your example for the rest of your classmates to solve.
Answer:
Step-by-step explanation:
I think jhonnu
Solve by using the substitution method 3x + y = 13 5x - 2y= 18
what is the first term of an infinitely decreasing G.P whose sum is 16 and the second term is -0.5?
Answer:
8 + 6√2Step-by-step explanation:
Sum of infinite GP is:
a/(1 - r) = 16 andThe second term is:
ar = -0.5Eliminate r in the system:
a/(1-r) = 16 ⇒ a = 16 - 16r ⇒ 16r = 16 - a ⇒ r = 1 - a/16ar = -0.5 ⇒ r = -0.5/aCompare the two equations and solve for a:
1 - a/16 = -0.5/aMultiply both sides by 16a:
16a - a² = -8a² - 16a = 8 a² - 16a + 64 = 72(a - 8)² = 72a - 8 = ±√72a = 8 ± √72a = 8 + 6√2 a = 8 - 6√2, excluded as it is negative and makes common difference positive and so an increasing functiona = 8 - 6√2 = -0.4852 ⇒ r = -0.5/a = -0.5/-0.4852 = 1.03 > 1
A farmer must transport a fox, goose and bag of beans from one side of a river to
another using a boat which can only hold one item in addition to the farmer, subject to
the constraints that the fox cannot be left alone with the goose, and the goose cannot
be left alone with the beans. What is the fewest number of trips the farmer has to take
in order to transport all three safely to the other side of the river?
Show working using any appropriate mathematical representation(s)
Answer:
The man in the goose cross the river, with the fox and the beans together, he leaves the goose on the other side and goes back across.
The man then takes the fox across the river, and since he can’t leave the fox in the goose together, he brings that goose back.
Again, since the goose and the beans can’t be left together, he leaves the goose and he takes the beans across and leaves with the fox.
He returns to pick up the goose and heads back across the river one last time.
Step-by-step explanation:
Answer:
4 trips.
Step-by-step explanation:
The man and the goose across the river, leaving the fox and the beans together, he leaves the goose on the other side and goes back across.
The man then takes the fox across the river, and since he can’t leave the fox in the goose together, he brings that goose back.
Again, since the goose and the beans can’t be left together, he leaves the goose and he takes the beans across and leaves with the fox.
He returns to pick up the goose and heads back across the river one last time.
#teamtrees #WAP (Water And Plant)
Y=x+1, xy+2x=0
Help please
Answer:
x = 0,-3
y = 1,-2
Step-by-step explanation:
We can substitute x+1 for x in the second equation
x(x+1) + 2x = 0
x^2 + 3x = 0
x(x+3) = 0
x = 0,-3
y = 1,-2
Round 72.807 to the nearest tenth.
72.81
70
72.9
72.8