Answer:
45 minutes
Step-by-step explanation:
distance / rate = time
27 miles / 36 miles/hr = .75 hr ( 45 minutes )
The relationship between PLS ANSWER ASAP MARKING BRAINSLEST
Since ∠A and ∠B forms a straight line, ∠A and ∠B are a linear pair.
Linear pair:
A linear pair is the sum of two angles that forms a straight line (180°).
⇒ ∠A + ∠B = 180°
Measure of ∠A:
Subtract the measure of ∠B from 180 to determine the measure of ∠A.
⇒ ∠A = 180 - ∠B
Measure of ∠B:
Subtract the measure of ∠A from 180 to determine the measure of ∠B.
⇒ ∠B = 180 - ∠A
*Let us take a few examples to understand the concept better.
Example (Given measure of ∠B):Let the measure of ∠B (In the triangle shown) be 105°.
What is the measure of ∠A?
Solution:
Substitute the measure of ∠B in the equation ∠A = 180 - ∠B:
⇒ ∠A = 180 - ∠B⇒ ∠A = 180 - 105Simplify the equation:
⇒ ∠A = 180 - 105⇒ ∠A = 75°Therefore, the measure of ∠A is 75°.
Example (Given measure of ∠A):Let the measure of ∠A (In the triangle shown) be 60°.
What is the measure of ∠B?
Solution:
Substitute the measure of ∠A in the equation ∠B = 180 - ∠A:
⇒ ∠B = 180 - ∠A⇒ ∠B = 180 - 60Simplify the equation:
⇒ ∠B = 180 - 60⇒ ∠B = 120°Therefore, the measure of ∠B is 120°.
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A cone with a radius of 6 meters has a volume of 542.87m³. Find the slant height.
The slant height of the cone is = 15.6m. To calculate the slant height is further described below.
What is the slant height of a cone?The radius of the cone is = 6m
The volume of the cone = 542.87m³
The height of the cone can be determined using the formula below;
V=πr²h/3
542.87 = 22/7×6²×h/3
542.87= 3.14×36×h/3
542.87= 113.04× h/3
Make h the subject of formula,
h = 542.87×3/113.04
h = 1628.61/113.04
h= 14.4m
Therefore the slant height ,
l=√r²+h²
l = √6²+14.4²
l= √36+207.36
l=√243.36
l= 15.6m
Therefore, the slant height of the cone is = 15.6m.
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Determine the equation of the circle with center (8,5) containing the point (-4,21)
Answer:
(x-8)² + (y-5)² = 400
Step-by-step explanation:
general equation of a circle : (x-h)² + (y-k)² = r²
where (h,k) is at center and r = radius
here we are given the center as well as a point on the circle
first we will need to identify the radius by finding the distance between the center and the point on the circle using using the distance formula ( we know this is the radius because the radius is a line that goes on the center of the circle to any point on the circle )
Identifying the radius using the distance formula
Distance formula : [tex]d=\sqrt{(x_2-x1)^2+(y_2-y_1)^2}[/tex]
where the x and y values are derived from the two given points
Given points are (8,5) and (-4,21)
Assigning variables we get (x1,y1) = (8,5) , so x1 = 8 and y1 = 5
and (x2,y2) = (-4,21) so x2 = -4 and y2 = 21
Plugging this into the formula we get
[tex]d=\sqrt{(-4-8)^2+(21-5)^2}[/tex]
==> subtract values inside of parenthesis
[tex]d=\sqrt{(-12)^2+(16)^2}[/tex]
==> evaluate exponents
[tex]d = \sqrt{144+256}[/tex]
==> add 144 and 256
[tex]d=\sqrt{400}[/tex]
==> take the square root of 400
[tex]d=20[/tex]
so the radius is 400
Finding the equation of the circle
again we have the general equation of a circle as (x-h)² + (y-k)² = r²
where (h,k) is at center and r = radius
here the center is at (8,5) and the radius is 20
so (h,k) = (8,5) so h = 8 and k = 5 and radius is 20 so r = 20
plugging these values into the general equation of a circle we get
(x-8)² + (y-5)² = 20²
==> evaluate exponent
(x-8)² + (y-5)² = 400
and we are done!
For more validation check the attached image :)
Find the value of each variable in the parallelogram.
Answer:
a=79, b=101
Step-by-step explanation:
the consecutive angles are supplementary angles, and the opposite ones are congruent.
PLEASE HELP WILL MARK BRAINLIEST
Answer:
Sin(45) = [tex]\frac{\sqrt{2} }{2}[/tex] , therefore Letter E is the answer ..
Step-by-step explanation:
Sin(45) = [tex]\frac{\sqrt{2} }{2}[/tex] , therefore Letter E is the answer ..
Answer:
take sin 45
Step-by-step explanation:
The sum of a number times 5 and 27 is greater than or equal to -24
Answer:
5x+27 > -24
Don't forget the greater than or equal to sign, I just don't know how to type it. If you're not sure, it's the symbol I have typed above with a line underneath.
Hope this helps :)
Can you help me out?
Answer:
I will guess C because a matrix can only have 3 pivot positions.
a) The sum of two square numbers
is sometimes but not always
a square number.
Answer:
ex: 25+25 (square numbers) = 50 (not a perfect square)
Step-by-step explanation:
all in the example
If a triangle has sides of length x, X + 2, and x
4, what is the perimeter of the triangle in terms of x?
O 3x-6.
3x-2
3x + 2
O 3x + 6
X
acer
Answer:
3x+6
x+x+2+x+4
» You can group the like terms, in this case, the x's and the numbers.
x+x+x+2+4
3x+6
find maclaurin series
Recall the series expansion of the exponential function,
[tex]\displaystyle e^x = \sum_{n=0}^\infty \frac{x^n}{n!}[/tex]
By comparison, the given sum is [tex]e^x[/tex] evaluated at x = ln(2), so
[tex]\displaystyle 1 + \ln(2) + \frac{\ln^2(2)}{2!} + \cdots = \sum_{n=0}^\infty \frac{\ln^n(2)}{n!} = e^{\ln(2)} = \boxed{2}[/tex]
(a) If f : x 3x + b and f(2) 12, find the value of b
F(2) means the value of x is 2. Replace x with 2 then solve for b:
3(2) + b = 12
6 + b = 12
Subtract 6 from both sides
B = 6
answer: b = 6
Please solve this question for Algebra 2
[tex]\text{Given that,}~f(x) = 3x^2 -15~~ \text{and}~~ g(x) = 1- \dfrac 23 x\\\\(f \circ g)(-6)\\\\=f(g(-6))\\\\=f\left(1- \dfrac 23\cdot (-6)\right)\\ \\=f(1+4)\\\\=f(5)\\\\=3(5)^2 -15\\\\=75 -15\\\\=60\\\\\text{Hence the answer is B.}[/tex]
What fraction is equal to 212?
Answer:
4/8
Step-by-step explanation:
Reliable food sources and the ability to settle in one place contributed to what?
A. Growth of the world's population.
B. The beginning of hunter-gatherer societies.
C. The Architectural Revolution.
D. Equal distribution of resources to all.
Answer:
Probably A?
Step-by-step explanation:
John must mount a box which is 12 5/8 inches wide. He wants to leave 7 1/2 inches on each side of the
box. How much space across will John need?
Answer:
27 5/8
Step-by-step explanation:
12 5/8 + 2(7 1/2) = 12 5/8 + 15 = 27 5/8
The amount of space needed by John will be 27⁵/₈ inches.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that John must mount a box which is 12⁵/₈ inches wide. He wants to leave 7¹/₂ inches on each side of the box.
The amount of space needed by John will be calculated as below:-
E = 12⁵/₈ + 2(7¹/₂)
E = 12⁵/₈ + 15
E = 27⁵/₈ Inches
Hence, the amount of space needed by John will be 27⁵/₈ inches.
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please help me in this question please
Answer:
x = 18
Step-by-step explanation:
the square on the angle means the angle is 90 degrees
4x + x = 90
5x = 90
x = 18
Answer:
[tex]\boxed{\bf x = 1 {8}^{o} }[/tex]
Step-by-step explanation:
In the given figure....
[tex]\boxed{\bf m\angle BOA = 9 {0}^{o}} [/tex]
[tex]\bf m\angle BOA + m\angle COA = 9 {0}^{o} [/tex]
[tex]\bf 4x + x = 9 {0}^{o} [/tex]Combine like terms. 4x + x = 5x
[tex]\bf 5x=90[/tex]Divide both sides by 5.
[tex]\bf \cfrac{5x}{5} = \cfrac{90}{5} [/tex][tex]\boxed{\bf x = 1 {8}^{o} }[/tex]Directions: Sketch a graph to match each of the following stories. Label key features of your graph
A graph is a way to represent a lot of data in such a visual format. The graph for the given situation can be drawn as shown below.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The graph for the given situation can be drawn as shown below.
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150 college freshmen were interviewed. 85 were registered for a math class,70 were registered for an English class, 50 were registered for both maths and English. how do I put them in 2 sets Venn diagram
Answer:
below
Step-by-step explanation:
Mathematically there cant be 150 student though since 85 + 70 = 155
A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a planning committee with three different members. There are 14 qualified candidates, and officers can also serve on the committee. Complete parts (a) through (c) below.
Using the permutation formula and the combination formula, it is found that:
a) There are 24,024 ways to appoint the officers.
b) There are 1,001 ways to appoint the committee members.
c) [tex]p = \frac{1}{1001}[/tex] probability that the four youngest members are appointed to the committee.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Item a:
For the officers, the order is important, as there are different roles, and 4 officers will be appointed from a set of 14 qualified candidates, hence we use the permutation formula to find the number of ways they can be appointed.
[tex]P_{14,4} = \frac{14!}{10!} = 24024[/tex]
Item b:
For the committee, the order is not important, as there are no different roles, and 4 members will be appointed from a set of the 10 remaining candidates, hence we use the combination formula to find the number of ways they can be appointed.
[tex]C_{14,4} = \frac{14!}{4!10!} = 1001[/tex]
Item c:
The four youngest is only one possible outcome, hence the probability they are appointed to the committee is given by:
[tex]p = \frac{1}{1001}[/tex]
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A particle’s beginning location is represented by the vector Vector m = LeftAngleBracket 5, 7, negative 1 RightAngleBracket.. After a certain amount of time, the particle’s position vector is Vector n = LeftAngleBracket negative 5, 8, negative 8 RightAngleBracket.. The particle’s ending position is Vector a = LeftAngleBracket negative 3, negative 5, negative 10 RightAngleBracket.. What is the overall displacement vector of the particle?
LeftAngleBracket negative 8, negative 12, negative 9 RightAngleBracket.
LeftAngleBracket negative 10, 1, negative 7 RightAngleBracket.
LeftAngleBracket 10, negative 1, 7 RightAngleBracket.
LeftAngleBracket 8, 12, 9 RightAngleBracket.
Answer:
<-8,-12,-9>
Step-by-step explanation:
got it right on edge
if my teacher give me two 100 test grades and my grade now is 54 what would be my grade
Answer:
# Points / Questions ❔
200
# Wrong ❌
54
# Correct ✔️
146
Percentage
73%
Grade
C
Step-by-step explanation:
Answer: 84%
Step-by-step explanation:
Teachers average out your grades. In order to average numbers, you add all the numbers and divide by the number of numbers you just averaged. If you add 200 to 54 you get 254. 254 divided by 3 is 84. You will probably get higher then a 84 if those two 100's are majors but you should get around a 84% overall grade!
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Fatoumata sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
7 visitors purchased no costume.
143 visitors purchased exactly one costume.
16 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase no costume as a fraction in simplest form.
The probability that the next person will purchase no costume is 7/166 if the 7 visitors purchased no costume.
What is probability?
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
Total number of visitors = 7+143+16 = 166
Number of visitors purchased no costume = 7
The probability that the next person will purchase no costume:
= 7/166
Thus, the probability that the next person will purchase no costume is 7/166 if the 7 visitors purchased no costume.
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10. Congress may override a presidential veto with a ?
A. Majority vote. C. Two-thirds vote B. Three-quarter vote. D. unanimous vote
C. Two-thirds vote
Step-by-step explanation:To help with checks and balances, the consitution allows congress to override a presidential veto with a two-thirds vote; also known as a constitutional majority.
Intial Vote
When Congress first votes on a normal bill (not a consitutional change) all that is required is a simple majority. A simple majority means more than 50 percent.
Presidential Veto
Just because something is passed by Congress does not mean that it will be a law. The President still has to sign the bill into law. However, the President has the option to veto the bill.
Overriding a Veto
If a bill is overridden, Congress can move to override the veto. If they want to override the veto, there must be a 2/3's majority that agrees to pass the bill again.
Additionally, when overriding a veto any votes that are not affirmative, this includes abstentions and absent voters, are considered opposing votes. For example, if 2 congressmen did not show up to vote, then their votes would automatically be counted against the bill.
If the area of the base (triangle) is 14 square centimeters, the volume of the
cubic centimeters.
Hello! :D
_________________________________________
ANSWER:
252 cm³SOLUTION :
14 × 18[tex]=[/tex] 252 cm³__________________________________________
Correct me if im wrong.
Answer:
252 cm is the anwer......
A car is moving at a speed of 50 km/hour. The driver takes her foot off of the accelerator and the car coasts to a stop. Why? A) No acceleration means no movement. B) Energy is no longer being transformed. C) Without an external energy source, friction stops the car. D) All the kinetic energy is converted to potential energy or energy of position.
C) without an external energy source, fiction stops the car
Sure hope this helps you
Answer:
C
Step-by-step explanation:
The friction stops the car because there is no more energy pushing the car forward. Also this should be in the science section.
What is the definition of a chronological structure?
A. Describes events in order they occurred or gives ordered instructions
B. Shows relationship between events, explains how one thing happens as a result of another
C. Describes a topic, idea, person, place or thing
D. Describes a problem as well as its causes and suggests solutions
Answer:
B. Shows relationship between events, explains how one thing happens as a result of another
Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight-year life. What would be the present value of the loan if the interest rate is 8 percent?
Considering the situation described above, what would be the present value of this loan is $1,000.
This is explained below:
Given that the loan interest rate is $85 85/1000 = 8.5
Then the market interest rate is => 8.5 percent
Therefore, given that there is no difference between the market rate and the loan rate, then the loan is expected to be sold at $1,000 which is the face value of the loan.
To prove it, we have the following:
PV of the annuity of $85 during 8 years at an 8.5% market rate
C => 85
Time => 8
Rate => 0.085
C × { [1 - ( 1+ r ) ] ^-time } ÷ rate = PV
85 × [1 - (1 + 0.085)^-8] ÷ 0.085 = PV
PV =. $479.3306
Present value of the maturity date:
Maturity 1000
Time => 8
Rate => 0.085
Maturity ÷ (1+rate)^rate = PV
1000 ÷ (1+0.085)^8 = PV
PV => $520.6694
Therefore, the Total present value
=> PV c $479.3306 + PV m $520.6694
=> Total $1,000.
Hence, in this case, it is concluded that the correct answer is $1,000.
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find the radius of the button
Answer:
2.5
Step-by-step explanation:
Radius is half way of the Diameter. so all you have to do is divde half.
Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 8 inches, and the hole had side lengths of 5 inches, how much wood was left after the hole was cut out?
A.
387 cubic inches
B.
512 cubic inches
C.
39 cubic inches
D.
312 cubic inches
Answer:
The Correct answer is D. 312 Cubic inches.
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Answer:
The Correct answer is D. 312 Cubic inches.
Hope this helps you!!
Please Mark me Brainleast!!
Which of the following expressions are equivalent to 4+ (14 – 2)?
Choose 3 answers:
Answer:
A,C,E
Step-by-step explanation:
All three use double negative signs which cancel out into a plus sign. Moving the parentheses doesn’t change the value in these problems.