Answers
14. "Coplanar" -> "on the same plane" -> B,C,D,E
15. Planes are name by 3 non-colinear points --> Plane ACE
18. Two points -> G &F
A line -> Line GF
19. Plane T and Plane S
Related Questions
Driving on the North West Express-way, Debbie averaged 62 miles per hour for 3 & one fourth hours. How far did she drive?
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1/4 = 0.25
s0 3 1/4 = 3.25
62x3.25 = 201.50 miles = 201 1/2 if you need it in fraction form
20 POINTS, PLEASE HELP ASAP!!!!
Answers
17 minutes ⇒ 1 revolution = 2π
1 minute ⇒ 2π/17
Angle of rotation is 2π/17 per minute
Question c)
The period of the rotation is 2π/17
The wheel starts rotating from the height of 5 meters from the ground and the maximum height is 125 meter from the ground.
The amplitude is 125 - 5 = 120 ÷ 2 = 60
The midline of the rotation is at 125 - 5= 120 ÷2 = 60 + 5 = 65 (this is the location of the centre of the wheel). This value is a shift of 65 from the zero midlines (which in this case would be the ground)
Question C
The movement of the wheel can be described as starting from 0° then reaching its peak at 180° and come back to its original position as it stops and it makes a complete circular turn 360°.
If we sketch this on a graph, we will obtain a curve of -cos(x)
We need to apply the period, the amplitude and the shift produced by this rotation into the equation [tex]y = -cos(x)[/tex]
The period is [tex] \frac{2 \pi }{7} [/tex] ⇒ [tex]f(t)=-cos( \frac{2 \pi }{7}t) [/tex]
The amplitude of 60 ⇒ [tex]f(t)=-60cos( \frac{2 \pi }{7}t) [/tex]
The shift of the midline by 65 units upwards ⇒ [tex]f(t) = -60cos( \frac{2 \pi }{7}t)+65 [/tex]
The final equation is
[tex]f(t) = -60cos( \frac{2 \pi }{7}t)+65 [/tex]
and the graph is shown in the third picture below
Applying the distributive property, the expression becomes (3x)(–x) + (3x)(4) + (–5)(–x) + (–5)(4). What is the simplified product in standard form?
Answers
= -3x^2 + 12x + 5x - 20
= -3x^2 + 17x - 20
hope it helps
The sum of two numbers is 54 . the smaller number is 12 less than the larger number. what are the numbers?
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The sum of two numbers is 33. Twice the first number minus the second number equals 18. Find both numbers.
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y = 33 - x
SO
2x - 33 + x = 18
3x = 51
x = 17
Now, we know x. We can use this to find y:
x + y = 33
17 + y = 33
y = 16
So, the numbers are 16 and 17.
The both numbers are = 17 and 16
Solving for the unknown numbersThe sum of two numbers = 33
Let the two numbers be X and y.
therefore X + y = 33 ----> equation 1
Twice the first number minus the second number= 18.
That is,
2x - y = 18 -----> equation 2
From equation 1 make X the subject of formula;
X = 33 – y
substitute X into equation 2,
2(33 – y) - y = 18
66 – 2y – y = 18
66 – 3y = 18
66 – 18 = 3y
48 = 3y
y = 48/3
y = 16
Substitute y = 16 into equation 1
Therefore, X +16 = 33
X = 33 –16
X = 17
Therefore, he both numbers are = 17 and 16
Learn more about summation here:
https://brainly.com/question/14322177
A tea bag is shaped like a regular square pyramid. Each leg of the base is 4 cm, and the slant height is 5 cm. Find the VOLUME of the tea bag.
Answers
So, the area of the base is 4x4, which is 16, then you multiply it by the height, 5, and 16x5 is 80, and 80/3 is approximately 26.6
The answer would be 26.6 cm^3
Julio checked the temperature of a bag of frozen peas and found it was at −13°C. After he left the bag out of the freezer for an hour, its temperature rose to 8°C. What was the change in temperature in an hour?
a)−21°C
b)21°C
c)5°C
d)−5°C
Answers
ΔT = final temperature - initial temperature = 8°C - ( -13°C) = 8°C + 13°C = 21 °C.
So, the temperature raised 21 °C, and that is the change in temperature.
Answer: change = option b) 21°C.
Twenty times the square of a non-zero number is equal to 15 times the number
Answers
20x^2 - 15x = 0
5x(4x - 3) = 0
5x = 0, x =0
4x -3 = 0, x = 3/4
answer
non-zero number is 3/4
If there are 52 ounces of cereal in 2 boxes, how many ounces are there in 5 boxes?
Answers
26 * 5 = 130 ounces of cereal in 5 boxes
Answer:
If there are 52 ounces of cereal in 2 boxes, how many ounces are there in 5 boxes?
Step-by-step explanation:
If we have 52 ounces in 2 boxes, in 1 box we have: 52/2 = 26 ounces.
If we have 5 boxes and 26 ounces in each, we have: 5 x 26 = 130 ounces in total.
Webassign find the area of the region bounded by the parabola y = x2, the tangent line to this parabola at the point (6, 36), and the x-axis.
Answers
dy/dx=2x
at x=6, the slope is 2(6)=12
so
use point slope form
y-y1=m(x-x1)
point is (6,36)
so
y-36=12(x-6)
y-36=12x-72
y=12x-36
alright, so we know they intersect at x=6
and y=12x-36 is below y=x^2
so we do [tex] \int\limits^6_0 {x^2} \, dx - \int\limits^6_0 {12x-36} \, dx = \int\limits^6_0 {x^2-(12x-36)} \, dx = \int\limits^6_0 {x^2-12x+36} \, dx =[/tex]
[tex][\frac{x^3}{3}-6x^2+36x]\limits^6_0=(\frac{6^3}{3}-6(6)^2+36(6))-(0)=\frac{216}{3}-216+216=[/tex] [tex]72+0=72[/tex]
the area under the curve bounded by the lines and the x axis is 72 square units
The cells of a certain culture of bacteria double every 6 minutes. If the culture contains 100 cells in the beginning, then the total number of cells P in this culture after t minutes is given by the exponential equation P = 100(2)t/6. Identify the number of minutes it will take for the number of cells to exceed 50,000.
A) 53 min
B) 49 min
C) 48 min
D) 54 min
Answers
Since the growth is exponential, therefore I believe the correct form of the equation is:
P = 100 (2)^(t / 6)
Where t / 6 is the exponent of 2
So to find for the amount of time needed to exceed the population of 50,000, all we have to do is to plug in that value in the equation and find for t. Therefore:
P = 100 (2)^(t / 6)
50000 = 100 (2)^(t / 6)
500 = 2^(t / 6)
log 500 = (t / 6) log 2
t / 6 = log 500 / log 2
t = 6 * 8.96578
t = 53.8 mins = 54 mins
Answer:
D. 54 min
Find the area of a sector that has a central angle of 40 and a radius of 2 cm. Round your answer to the nearest 100th. Use 3.14=
Answers
A quiz has 4 multiple-choice questions with 4 possible answer choices each. for each question, there is only 1 correct answer.a student guesses each answer at random. what is the probability of getting exactly 3 questions correct, to the nearest percent?(3 correct and 1 incorrect)
Answers
The probability of getting 3 correct and 1 wrong in one of these ways is
1/4 * 1/4 * 1/4 * 3/4 = 3/256
So required probability = 4 * 3/256 = 12/256 = 4.69 %
5% to nearest percent.
Answer: (quartered spinner) (4) (1/256)
Please help me !!!!!!!!
Answers
side xy = square root 81 = 9
cosine(X) = Adj / Hypo
cosine(X) = 9/41
answer
C. 9/41
From 75 campsites to 120 campsites
Answers
subtract 75 from 120
120-75 =45 more campsites
At a sandwich shop they offer 3 kinds of bread, 5 kinds of meat, and 3 kinds of cheese. Each type of sandwich has a combination of exactly 3 ingredients: 1 bread, 1 meat, and 1 cheese. How many types of sandwiches are possible?
Answers
The sandwich shop could yield a total of 45 types of sandwiches based on the three categories provided; namely, bread, meat, and cheese. According to the counting principle in mathematics, you multiply the amount of options available from each category to get the total combinations possible.
Explanation:In the scenario described, to determine the possible number of sandwiches, we need to analyze the provided combinations. We have 3 types of bread, 5 kinds of meat, and 3 kinds of cheese. Each sandwich exactly contains one item from each category.
To find out all possible sandwich combinations, we multiply the number of choices in each category. This is known as the counting principle.
So, the formula would be:
Number of sandwich combinations = Types of Bread * Types of Meat * Types of Cheese
Plugging the given numbers into this formula, we get:
Number of sandwich combinations = 3 * 5 * 3 = 45
So, there are 45 possible sandwich combinations available in this sandwich shop.
Learn more about Counting Principle here:https://brainly.com/question/29594564
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Rectangular prisms A and B are similar.
The edge of prism B is 3 times that of prism A. How many times the volume of prism A is the volume of prism B?
Answers
[tex]\bf \textit{let's say the edge of A is \underline{k} long, then B's is \underline{3k}} \\\\\\ \cfrac{A}{B}\qquad \cfrac{k}{3k}\implies \cfrac{1}{3}\implies \cfrac{s}{s}\qquad thus \\\\\\ \cfrac{A}{B}\qquad \cfrac{1}{3}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{1}{3}=\sqrt[3]{\cfrac{s^3}{s^3}}\implies \left( \cfrac{1}{3} \right)^3=\cfrac{s^3}{s^3}\implies \cfrac{1^3}{3^3}=\cfrac{s^3}{s^3} \\\\\\ \cfrac{1}{27}=\cfrac{s^3}{s^3}[/tex]
Which is heavier 9 5/8 pounds or 9 3/4 pounds
Answers
What is -11-8-13(-10)? And how did you get you're answer
Answers
First, multiply since multiplication goes before subtraction according to the order of operations.
-11-8+130
Then add and subtract from left to right.
-11-8= -19
-19+130=111
Final answer: 111
Find the product.
(n + 7)(n - 2)
n² - 5n - 14
n² + 5n - 14
n² - 5n + 14
Answers
[tex](n+7)(n-2)\\\\n*n+(-2)*n+7*n+7*(-2)\\\\n^{2}-2n+7n-14\\\\n^{2}+5n-14[/tex]
=n•n+(-2)•n+7•n+7•(-2)
=n²-2n+7n-14
=n²+5n-14. In conclusion, the product of (n+7) and (n-2) or (n+7)(n-2)=n²+5n-14. Hope it help!
Solve 2x + 5y = −13
3x − 4y = −8
Answers
3x-4y=-8
Rearrange the first equation to solve for x in terms of y. This will be needed to apply the substition method.
2x+5y=-13
2x=-5y-13
x=-5/2y-13/2
Now plug this in for x in the second equation.
3(-5/2y-13/2)-4y=-8
-15/2y-39/2-4y=-8
-23/2y-39/2=-8
-23/2y=11.5
y=-1
Now plug this y value in to one of the original equations.
2x+5(-1)=-13
2x-5=-13
2x=-8
x=-4
Final answer: (-4,-1). <=============
To check:
2(-4)+5(-1)=-13
-8+5(-1)=-13
-8-5=-13
-13=-13
True
3(-4)-4(-1)=-8
-12-4(-1)=-8
-12+4=-8
-8=-8
True
Find the area of the triangle
Answers
The base here is 8 and the height is 3.
8*3=24
24/2=12
The answer is B, 12 yd^2
HELP QUICK!!!
An ellipse has foci F1(9, 0) and F2(11, 6), and the point (1, 6) is on the ellipse. Identify the constant sum for the ellipse.
a 20
b 10
c 0
d 100
Answers
Distance D1:
(D1)^2 = (9-1)^2 + (0-6)^2 = 100
D1 = 10
Distance D2:
(D2)^2 = (11-1)^2 + (6-6)^2 = 100
D2 = 10
The constant sum is the summation of the two distances as follows:
constant sum = D1 + D2 = 10 + 10 = 20
The correct choice is:
a) 20
Answer: 20
Step-by-step explanation:
What is the precise definition of an angle? question 1 options:?
Answers
Write an equation for the translation of the function. y = cos x; translated 6 units up
Answers
Answer:
[tex]y=cos(x)+6[/tex].
Step-by-step explanation:
We are asked to write an equation for the translation of the function [tex]y=cos(x)[/tex] to 6 units upwards.
Let us recall transformation rules.
[tex]f(x)\rightarrow f(x+a)=\text{Graph shifted to left by a units}[/tex]
[tex]f(x)\rightarrow f(x-a)=\text{Graph shifted to right by a units}[/tex]
[tex]f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by a units}[/tex]
[tex]f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by a units}[/tex]
Since we need to shift our given function 6 units upwards, so we will add 6 to our given function outside the parenthesis as:
[tex]y=cos(x)+6[/tex]
Therefore, our required equation would be [tex]y=cos(x)+6[/tex].
Someone help me please !!!
Answers
Answer:
1. 10
2. 12
3. Sqrt 130
4. Sqrt 45
Step-by-step explanation:
To find the missing side of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex] where a and b are the legs with a being the smallest and c is the hypotenuse.
1. a=6, b=8, c=?
[tex]6^2+8^2=c^2\\36+64=c^2\\100=c^2\\10=c[/tex]
2. a=5, b=?, c=13
[tex]5^2+b^2=13^2\\25+b^2=169\\169-25=b^2\\144=b^2\\12=b[/tex]
3. a=7, b=9, c=?
[tex]7^2+9^2=c^2\\49+81=c^2\\130=c^2\\\sqrt{130}=c[/tex]
4. a=2, b=?, c=7
[tex]2^2+b^2=7^2\\4+b^2=49\\49-4=b^2\\45=b^2\\\sqrt{45}=b[/tex]
Find the area of the larger regular pentagon if the smaller pentagon has an area of 43.01 inches^2. The side length of the small pentagon is 5 and the side length of the large pentagon is 8.
Answers
solve the equation by completing the square. round to the nearest hundredth if necessary. x^2-6x=20
Answers
x^2 - 6x + 9 = 20 + 9
(x - 3)^2 = 29
x - 3 = (+-) sqrt 29
x = 3 (+-) sqrt 29
x = 3 (+-) 5.39
x = 3 + 5.39 = 8.39 <=
x = 3 - 5.39 = - 2.39 <=
x^2-6x+(6/2)^2=20+(6/2)^2
x^2-6x+(3)^2=20+(3)^2
x^2-6x+9=20+9
(x-3)^2=29
x-3=5.38 or -5.38
x=5.38+3 or -5.38+3
x=8.38 or -2.38
Evaluate 9 - b when b = 8
Answers
9 - 8 = 1
So, your answer is 1. Hope this helps, please mark brainliest and have an amazing day!
Equations are expressions separated by an equal sign. The value of the expression 9-b is b is 8 is given as 1
Equations and expressionsEquations are expressions separated by an equal sign
Given the expression 9 - b
If b = 8, we will have to substitute the value of 8 into the expression to have:
f(b) = 9 - b
f(8) = 9 - 8
f(8) = 1
Hence the value of the expression 9-b is b is 8 is given as 1
Learn more on function and values here: https://brainly.com/question/2284360
5/14 divided by 3/4, what's the answer
Answers
(5/14)/(3/4)
(5/14)(4/3)
(5*4)/(14*3)
20/42
10/21
This can be calculated by finding the reciprocal of 3/4, which is 4/3.
Next, you multiply 5/14 by 4/3. To multiply fractions, you multiply the two numerators and set it as the new numerator and multiply the two denominators and set it as the new denominator.
5 * 4 = 20
14 * 3 = 42
To simplify, you can divide each by 2 since it goes into both values.
20/2 = 10
42/2 = 21
Answer: 10/21