Answer:
2.546cm
Step-by-step explanation:
formular for calculating the circumference of a circle is = πd
where π = 3.142
d = diameter
from the question,
C= πd
8=3.142×d
8= 3.142d
dividing bothsides by 3.142
8/3.142= 3.142f/3.142
d = 8/3.142
d = 2.546cm
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
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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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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Leah and Chris have 3 sushi rolls to share equally for lunch. Leah wants to know how many sushi rolls she will get.
Answer:
She will get 1.5.
Step-by-step explanation:
Because 3/2 is 1.5 so they are equal
pls helppppp i need this done :(
Answer:
5a. $9.20
5b. 75 clicks
Step-by-step explanation:
You are asked to make use of the given relationship between number of clicks (c) and budget remaining (A).
__
5aThe number of clicks is given as c = 52, so the budget remaining is ...
A = 30 -0.40(52) . . . . . use c=52
A = 30 -20.8 = 9.20
There will be $9.20 left at the end of the day.
__
5bThe number of clicks needed to use up the budge can be found by solving for c when A=0.
0 = 30 -0.40c . . . . . use A=0
0.40c = 30 . . . . . . . add 0.40c
c = 30/0.40 = 75 . . . . . divide by 0.40
The ad was clicked 75 times if there is no daily budget remaining.
17. Express the shaded part of the picture as a fraction
O A. ¾
O B. 4/1
O C. ¼
O D. 4/3
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!
(I will give brainliest and give 30 points)
Answer:
Option C. 1246 sq cm
Step-by-step explanation:
Break the irregular figure into 2 rectangles.
Start on the top. If we break it up top we get a rectangle with a length of 29 cm and a width of 8 cm.
The formula for the area of a rectangle is:
[tex]A=lw[/tex]
[tex]A=29*8[/tex]
[tex]A=232[/tex]
Now calculate the area of the second rectangle which has a length of 39 cm and a width of 26 cm. We will use the formula stated above.
[tex]A=26*39[/tex]
[tex]A=1014[/tex]
Now add the two areas together.
[tex]232+1014=1246[/tex]
Answer:
Step-by-step explanation:
S₁ = 39·34 = 1326 sq. cm
S₂ = (39 - 29)·8 = 80 sq. cm
S = S₁ - S₂ = 1326 - 80 = 1246 sq. cm
PLEASE HELP!!
In a science experiment, a student concluded that a ray has to travel a distance from one corner at the
top of the rectangular prism to the opposite side where the surface touching the floor is intersected. If
the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively,
what is the distance travelled by the ray?
**TEACHER SAID NOT A OR D**
The distance traveled by the ray will be 26 inches. Then the correct option is B.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected.
If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively.
Then the distance traveled by the ray will be
We know the formula
D² = L² + W² + H²
We have
L = 24 in
W = 6 in
H = 8 in
Then the distance will be
D² = 24² + 6² + 8²
D² = 576 + 36 + 64
D² = 676
D = 26 in
Thus, the correct option is B.
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A rectangle is 14 incheas long and 6 inches wide find the area
14 x 6 = 84
To find the area of a rectangle you need to multiply the length and the width of a rectangle. We can get the area of a rectangle by following this formula: A = L * W A is the area, L is the length, and W is the width.
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.
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 answer this question
The solution to the above function of summation (k - 1)! is determined as (n+1)P1.
Simplification of the functionThe given expression can be simplified as follows;
∑(k - 1)!
Let's choose numbers;
(2 - 1)! = 1!
(3 - 1)! = 2!
(4 - 1)! = 3!
(5 - 1)! = 4!
(6 - 1) = 5! ----- + (n + 1)Pr
when n = 1(1 + 1)P1 = 2P1 = (2 - 1)! = 1!
when n = 2(2 + 1)P1 = 3P1 = (3 - 1)! = 2!
when n = 3(3 + 1)P1 = 4P1 = (4 - 1)! = 3!
when n = 4(4 + 1)P1 = 5P1 = (5 - 1) = 4!
Thus, the solution to the above function of summation (k - 1)! is determined as (n+1)P1.
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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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Choose a value for n, and then evaluate n^2.
Pick your favorite number and square it.
Squaring a number means you multiply it by itself.
Let's say you picked the number 7
7 squared = 7^2 = 7*7 = 49
Think of a 7 by 7 grid of tiny squares. There would be 49 total little squares to represent the total area. Graph paper might help visualize this.
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.
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]if sally has 2 sea shells to sell and she only ends up selling one how many sea shells does she have left?
Answer:
2-1= 1
1 sea shell left with her
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......
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 :)
100 POINTS I need help on the problem! its 8th-grade math
Answer:
135.5
Step-by-step explanation:
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.
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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Assume that a procedure yields a geometric distribution where the probability of success is 53%. Use the geometric probability formula to find the probability that the first success occurs after the third trial
A) 0.104
B) 0.531
C) 0.009
D) 0.896
Answer:
A) 0.104
Step-by-step explanation:
[tex]P(X > n)=(1-p)^n\\\\P(X > 3)=(1-0.53)^3\\\\P(X > 3)=(0.47)^3\\\\P(X > 3)\approx0.104[/tex]
Can you help me out?
Answer:
I will guess C because a matrix can only have 3 pivot positions.
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:
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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An object is launched at an initial velocity of 19.6
meters per second from an initial height of 24.5 meters.
Which equation can be used to find the number of
seconds it takes the object to hit the ground?
Answer:
0
Step-by-step explanation:
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 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