The length of an arc with central angle of 45 degrees and radius of 8 inches is 6.3 inches.
How to find length of an arc?length of an arc = ∅ / 360 × 2πr
where
∅ = central angler = radiusHence,
r = 8 inches
∅ = 45 degrees
Therefore,
length of an arc = 45 / 360 × 2 × 3.14 × 8
length of an arc = 2260.8 / 360
length of an arc = 6.28 inches
length of an arc = 6.3 inches
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Answer:
b
Step-by-step explanation:
3. a Paul is thinking of a number that is greater than 10 and less than 20. What is the probability
that the number is not a prime number? Express your answer as a fraction only.
The probability that the number is not a prime number is 5/9.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
Paul is thinking of a number that is greater than 10 and less than 20.
So, the prime number between 10 and 20 are 11, 13, 17, 19.
So, the probability that the number is not a prime number
= ( 9- 4)/ 9
= 5/9
Hence, the probability that the number is not a prime number is 5/9.
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150 books are divided into 3 stacks. The 1st one has 30 more than the 2nd stack, 2nd stack has twice as many books in the 3rd stack. How many books are there in 3rd stack? (N represents the number of books in the 3rd stack.)
======================================================
Explanation:
N = number of books in the 3rd stack2N = number of books in the 2nd stack, since there are twice as many books here.2N+30 = add on 30 to the previous amount to get the number of books in the first stackIn other words,
1st stack = 2N+302nd stack = 2N3rd stack = NN is some positive whole number.
Add up all those expressions and set the sum equal to the 150 books total. Solve for N.
(1st stack) + (2nd stack) + (3rd stack) = total
(2N+30) + (2N) + (N) = 150
(2N+2N+N) + 30 = 150
5N + 30 = 150
5N = 150-30
5N = 120
N = 120/5
N = 24 which is the number of books in the 3rd stack
2N = 2*24 = 48 is the number of books in the 2nd stack.
2N+30 = 2*24+30 = 48+30 = 78 books in the 1st stack
Check:
1st+2nd+3rd = 78+48+24 = 150
The answer is confirmed.
someone help me solve this
Answer:
Looking at the given points we know that it is going to be rectangle because we have 4 points. Therefore the figure is a rectangle and the area formula would be [tex]A=l*w[/tex].
You can look at the attached graph and what we see is that our width of the rectangle is from [tex]y=-4[/tex] to [tex]y=3[/tex] which means that our height is 7 units wide. We can also see that our length starts at [tex]x=-1[/tex] and ends at [tex]x=4[/tex] making us have a length of 5 units.
We then plug in the values and solve
[tex]A = 7\ units * 5\ units[/tex]
[tex]A = 35\ units^2[/tex]
Therefore, the area of our rectangle is [tex]35\ units^2[/tex]
Hope this helps! Let me know if you have any questions
Eric made a scale drawing of the auditorium. The stage, which 15 35 feet wide in real life,
Is 5 ipches wide in the drawing, What is the scale of the drawing?
by
What is the mean of this data set?
{10, 5, 7, 9, 5, 18}
Enter your answer in the box.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the mean of the dataset (10, 5, 7, 9, 5, 18)?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
Mean [tex]\rightarrow[/tex] 9
[tex]\blue{\textsf{\textbf{\underline{\underline{How to solve:-}}}}[/tex]
First, add all the numbers together:-
10+5+7+9+5+18
[tex]\textsf{54}[/tex]
Now divide by how many numbers there are (6):-
54:6=9
So the mean of the dataset is 9.Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
9
Step-by-step explanation:
To find the mean, add up all the numbers and then divide by the number of terms
(10+5+7+9+5+18)
54
There are 6 terms
54/6=9
The mean is 9
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why A DEF= AJKL?
Check all that apply.
D
O A. LL
B. HL
C. LA
D. ASA
E. SAS
OF. AAS
The option (C) LA and (D) ASA are correct because two angles and one side are the same.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
From the triangle DEF and triangle JKL
∠D = ∠J (given)
∠F = ∠L (given)
ED = KJ (given)
∴ Triangle DEF and triangle JKL are congruent by the ASA
ΔDEF≅ΔJKL
Also:
∠F = ∠L (given)
ED = KJ (given)
ΔDEF≅ΔJKL by LA
Thus, the option (C) LA and (D) ASA are correct because two angles and one side are the same.
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A store has an item listed for $48.95. On Saturday they are having a 20% off sale where they give a 20% discount to all items in the store. What is the sale price of this item on Saturday? Round appropriately.
(A) None of these
(B) $58.74
(C) $9.79
(D) $28.95
(E) $39.16
Answer:
(E) $39.16
Step-by-step explanation:
listed price = $48.95
discounted price on saturday = $48.95 x 80% = $39.16
How much water does it take to completely fill a pool that is 50 m long, 25 m wide, and 2.5 m deep?
:)
Answer: 3125m
Step-by-step explanation:
volume = h · d · w
V= 2.5 * 50 * 25
v= 3125
Three people, Adam, Becky and Charley, each lie 1/3 of the time at random, otherwise they tell the truth. A fair coin is flipped, and they all see it. They all say it is heads. What is the probability the coin was actually tails?
[tex] \frac{1}{3} [/tex]
to find:the probability of the coin.
solution:lie:[tex]( \frac{1}{3} ) \times ( \frac{1}{3}) \times ( \frac{1}{3} )[/tex]
[tex] = \frac{1}{27} [/tex]
there's 1/27 chance of them to lie.
truth:[tex]( \frac{2}{3} ) \times ( \frac{2}{3} ) \times ( \frac{2}{3} )[/tex]
[tex] = \frac{8}{27} [/tex]
there's 8/27 chance that all of them told the truth.
probability:[tex]( \frac{8}{27} ) \div (( \frac{8}{27} ) + ( \frac{1}{27} ))[/tex]
[tex] = \frac{8}{9} [/tex]
therefore, between those two chances, it's an 8/9 chance it's actually Heads.
Answer please please
Answer: the answer is b which is the second choice . as the second one is greater than the first one . ( <)
Step-by-step explanation: HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .
if you run for 30 mintes at a speed of 8 miles per hour how many feet wpuld you hav erun
Answer:
not sure if this is correct but i tried (1267200 feet)
Answer:
21120 ft
Step-by-step explanation:
We need to change 8 miles per hour to feet per minute
8 miles 5280 ft 1 hour
----------- * ---------- * ----------
hour 1 mile 60 minutes
704 ft/ minute
Now multiply by 30 minutes
704 ft / minute * 30 minutes =21120 ft
Three machines produce the same parts.
Machine A produces 10% defective parts.
Machine B produces 5% defective parts.
Machine C produces 5% defective parts.
Suppose each machine produces 1/3 of the total production. A part is selected at random, and it is found to be defective. What is the probability that it was produced by machine B?
A) 19/56
B) 17/30
C) 1/2
D) 1/4
Answer:
20
Step-by-step explanation:
just add the 13 to A and B
Area of triangle Question 4
Answer:
3sq units
Step-by-step explanation:
bxh = 2x3=6
6/2=3
what’s the better deal? pls help
Answer:
the equations they're equal
Step-by-step explanation:
3.75 divided by 5 = 0.75
7.50 divided by 10 = 0.75
12.00 divided by 16 = 0.75
What is the height, x, of the equilateral triangle shown?
Answer:
C. 10in
Step-by-step explanation:
[tex]\frac{sinA}{a} = \frac{sinB}{b}[/tex]
[tex]\frac{sin60}{10} = \frac{sin60}{x}[/tex]
[tex]x[/tex]sin60 = 10 × sin60
[tex]x[/tex]sin60 = [tex]5\sqrt{3}[/tex]
[tex]x[/tex] = [tex]\frac{5\sqrt{3} }{sin60}[/tex]
[tex]x[/tex] = 10in
What is the range of f(x)=5/x^4
Answer:
(0,∞) , {y|y>0}
Step-by-step explanation:
Srekar needs to increase the length, width, and height of the prism below by 2 inches. The original prism has a length of 3 inches, a width of 2 inches, and a height of 1 inch.
A prism has a length of 3, height of 1, and width of 2.
Which statements about the new prism are true? Select three correct answers.
The new prism will have a length of 5 because 3 + 2 = 5.
The new prism will have a width of 4 because 2 + 2 = 4.
The new prism will have a height of 2 because 1 times 2 = 2.
The volume will increase by 6 because 2 times 3 = 6 and each of the 3 dimensions is increased by 2.
Srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side.
The volume of the new prism will be 20 times 3 = 60 because there will be 20 cubes in each layer and the height will be 3 so there will be 3 layers of 20 cubes each.
The statement first, statement second, and statement sixth are true.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have:
The original prism has a length of 3 inches, a width of 2 inches, and a height of 1 inches.
The new length = 3+2 = 5 inches
The new width = 2+2 = 4 inches
The new height = 1+2 = 3 inches
The volume of the old prism = 3×2×1 = 6 cubic inches
The volume of the new prism = 5×4×3 = 60 cubic inches
Srekar, could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side is false becasue:
Volume = 3×2×(1+6) = 42 cubic inches
The volume of the new prism will be 20 times 3 = 60 because there will be 20 cubes in each layer and the height will be 3 so there will be 3 layers of 20 cubes each is true.
Thus, the statement first, statement second, and statement sixth are true.
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A fast food chain surveyed a random
sample of students to determine what pizza
they prefer. Cheese pizza was preferred
by 40 students. Pepperoni pizza was
preferred by 28 students. Based on the
results, how many of the 340 students can
be expected to prefer cheese pizza?
Answer:
200 students
Step-by-step explanation:
If 40/68 students prefer cheese pizza, we can take the proportion and carry it over by doing 340/68, which is 5.
5 x 40 = 200.
eathan answer 80% correctly on his history test he correctly answers 32 enter the amount of questions on his test
Answer:
40 questions.
Step-by-step explanation:
By proportion:
80 % is equivalent to 32 questions
So 100% .. .. .. .. .. .. (32/80) * 100
= 32 * 5/4
= 160/4
= 40
Answer:
40
Step-by-step explanation:
80/100=32/x
You can also set this up with a diagram.
x=40
Find the volume of a cylindrical tank whose radius is
10cm and the height is 21cm. (Take T=22/4)
Answer:
Question:Find the Volume of a Cylindrical Tank whose radius is 10cm and the height is 21cm. (Take π = [tex] {\bold{\frac{22}{7}}}[/tex])
Answer:We know that,
[tex] \quad [/tex][tex] \quad [/tex][tex] { \boxed{ \sf{Volume \: of \: Cylinder =\pi {r}^{2}h }}}[/tex]
➛ [tex] { \large{\frac{22}{7} \times {(10)}^{2} \times 21}} [/tex]
➛ [tex] { \large{ \frac{22}{7} \times 10 \times 10 \times 21 }} [/tex]
➛ [tex] { \large{ \frac{22}{7} \times 100 \times 21 }} [/tex]
➛ [tex] { \large{ \frac{22}{{ \cancel{7}} ^{1} } \times 100 \times { \cancel{21}}^{3} }} [/tex]
➛ [tex] 22 \times 100 \times 3 [/tex]
➛ [tex] 22 \times 300 [/tex]
➛ [tex] { \boxed{ \green{6600{ \rm{ {cm}^{3}}} }}} [/tex]
Thus, The volume of Cylindrical Tank is[tex]{ \bold{ \: 6600{ { \bold{ {cm}^{3}}} }}}[/tex].
come get a brainliest
Answer:
the answer of first one is19
the answer of second is14
please help me out with this here is a screen shot
Help me find the circumference
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex]. We can then input the value and we get that [tex]C=2*\pi*3.3[/tex] and as we solve it more the final answer that we get is [tex]C=20.735[/tex].
Hope this helps! Let me know if you have any questions
Use the data set to answer the question. PLS NEED HELP!! No files or links please! :))
{122,132,155,198,213,225,261,280}
What is the mean absolute deviation for the data set?
Enter your answer as a number rounded to the nearest tenth, like this: 42.5
Determine the truth value of each statement based on the expression.
6x 2 - 2x - 14y + 3x
By analyzing the polynomial we have the following conclusions about the five propositions:
1) True
2) True
3) False
4) False
5) True
How to infer characteristics of a polynomial
In this question we have a second order polynomial with two variables (x, y) and we need to determine the truth value of each proposition by applying concepts related to polynomials.:
1) There are four terms - A term is an additive component of the polynomial. Thus, the polynomial has four terms. (True)
2) 6 · x² and 3 · x are like terms - Two components are like terms if they have the same variable. Thus, 6 · x² and 3 · x are like terms. (True)
3) The coefficient on y is 14 - A coefficient is a constant that accompanies a variable. The constant of y is -14. (False)
4) Simplified, the expression is 6 · x² + 5 · x - 14 · y - The simplification of the polynomial is done by applying algebraic properties. The simplified form is 6 · x² + x - 14 · y. (False)
5) The commutative property allows the expression to be written as 6 · x² - 14 · y + 3 · x - 2 · x - Commutative property indicates that the order of components of the polynomial can be changed without changing the result of the entire polynomial. (True)
Remark
The statement is incomplete and incorrectly formatted. Correct statement is shown below:
Determine the truth value of each statement based on the expression 6 · x² - 2 · x - 14 · y + 3 · x.
1) There are four terms.
2) 6 · x² and 3 · x are like terms.
3) The coefficient on y is 14.
4) Simplified, the expression is 6 · x² + 5 · x - 14 · y.
5) The commutative property allows the expression to be written as 6 · x² - 14 · y + 3 · x - 2 · x.
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Answer:
answer is
Step-by-step explanation:
TRUE
FALSE
FALSE
FALSE
TRUE
A pie shop sells 32 apple pies, 33 pumpkin pie,20 cherry pies, and 15 chocolate pies.What percentage of pies were sold were apples or cherry
The percentage of pies sold that were apples or cherry is 52%
How to determine the percentage of apples or cherry?The given parameters are:
Apple = 32Pumpkin = 33Cherry = 20Chocolate = 15The total number of pies is:
Total = 32 + 33 + 20 + 15
Evaluate
Total = 100
The percentage of apples or cherry is calculated as:
Percentage = (Apple + Cherry)/Total
So, we have:
Percentage = (32 + 20)/100
Evaluate the quotient
Percentage = 0.52
Express as percentage
Percentage = 52%
Hence, the percentage of pies sold that were apples or cherry is 52%
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Bryan brought his series set of Rowan and the Dragon Quest to a secondhand store to sell. He was paid cash for all 5 books in the set. Before he left, Bryan used $29.75 of his earnings to purchase a used e-reader. He had $2.75 remaining. What was the value of each book in the set?
The value of each book in the set will be $6.5 when he sold his books to the second hand store.
What is profit and loss?When we sell any product above its cost price then there will be profit if the selling price is less then the cost price then there will be loss on the product.
here the total cost of the books sold will be given as:-
[tex]\$29.75+ \$2.75 =\$ 32.5[/tex]
The cost of the each book will be
[tex]=\dfrac{32.5}{5}=\$6.5[/tex]
Hence the value of each book in the set will be $6.5 when he sold his books to the second hand store.
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Answer:
$6.50
Step-by-step explanation:
which figure is a convex polygon?
Answer:
A.
Step-by-step explanation:
Convex polygon
A polygon is a figure that has no curved lines. A convex polygons has no "caves."
In this instance, answer choices B, C, and D all have curved lines which means that they aren't polygons. Additionally, as an example of a concave polygon, answer choice D creates a sort of "cave."
Therefore, answer choice A is a convex polygon.
Hope this helps!
ill give 30 points for the answer bro: In the figure, c || d. What are the measures of ∠1 and ∠2?
Answer:
angle 1 is 15, angle 2 is 75
Step-by-step explanation:
angles 1/2/3/4 is the same as 5/75 degrees/7/8 respectively
Draw a HF on the diagram that is parallel to AE and perpendicular to GF.
The line HF that is perpendicular to GF and parallel to AE is presented in the image uploaded.
What is perpendicular line?A perpendicular line is a line that intersects another line at 90 degrees or normal to the line.
What is a parallel line?A parallel line is a line that never intersect with another. In this type of line, the angle between the two parallel lines is zero.
Thus, the line HF that is perpendicular to GF and parallel to AE is presented in the image uploaded.
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