Answers
Answer:
29
the triangle on the right has 2 sides the same so the lower two corners have the same angle which would be (180-64)/2 = 58 degrees
the lower right angle of the triangle on the left Sadie would be 180-58 = 122.
Since 2 sides of the triangle on the left are the same the other two angles would be equal to each other.
x = (180-122)/2 = 29 degrees
Answer:
x = 29°
Explanation:
The triangle on right side is an isosceles triangle with two similar angles.
Let that angle be z:
⇒ z + z + 64° = 180°
⇒ 2z = 180° - 64°
⇒ 2z = 116°
⇒ z = 58°
After finding z, find the opposite angle:
⇒ 180° - 58° = 122°
Find the value of x:
⇒ x + x + 122° = 180°
⇒ 2x = 180° - 122°
⇒ 2x = 58°
⇒ x = 29°
Related Questions
200 people are asked about three brands of beverages Coffee, Tea and Chocolate. 36 like
Coffee only, 46 like Coffee but not Tea, 52 like Coffee, 16 like Tea and Chocolate, 96 like
Chocolate, 16 like Coffee and Chocolate while a total of 108 like one and only one of the
beverages.
Required
i) Calculate the number of people like black coffee?
ii) How many people don’t like any of the drinks?
Answers
Answer:
32
Step-by-step explanation:
Answer:
i) 52
ii) 66
Step-by-step explanation:
This sort of problem is usually solved using some sort of table or Venn diagram. We have used a table in the attachment such that each of the cells in the grid represents one of the 8 possible combinations of coffee, tea, or chocolate.
The numbers in black are given directly by the problem statement. The numbers in blue are calculated from the numbers in black and one of the other given numbers in the problem statement. The numbers in red are calculated so the totals work out correctly.
The cells shaded blue-gray are "one and only one" of the drinks. The cell shaded purple-gray is "don't like any".
__
i) black coffeeWe assume that any form of "coffee" is "black coffee." The problem statement tells us 52 people like coffee.
__
ii) noneThe last number we calculated is the number who like none of the drinks: 66. This brings the total of non-coffee drinkers to 148.
_____
Additional comment
As noted above, the colors more or less indicate the order of the calculations. We started with 36 who like coffee only, and 46 who like coffee and not tea. That means 46-36=10 like coffee and chocolate, but not tea.
Since 16 like coffee and chocolate, that leaves 16-10=6 who like coffee and tea and chocolate (all three).
96 like chocolate, but 16 of those like chocolate and tea. The other 80 like chocolate, but not tea.
46+16=52, so there must be 0 who like coffee and tea, but not chocolate.
The number who like only one is 108. We already have 36 that are coffee only, 80-10 = 70 that are chocolate only, so there must be 108 -70 -36 = 2 who like tea only.
Now, we can finish filling the top row of the table and the totals in the bottom row.
need help with this math
Answers
Answer:
x = -12
y = 10
(x, y) = (-12, 10)
Step-by-step explanation:
A cake has two layers. Each layer is a regular hexagonal prism. You cut and remove a slice that takes away one face of each prism as shown. What is the volume of the slice? What is the volume of the remaining cake? Use pencil and paper. Describe two ways to find the volume of the slice.
P.S. pls help me
Answers
The volume of the slice is 40 in³. The volume of the remaining cake is 197.014 in³.
What is a regular hexagon?A regular hexagon is defined as a closed shape consisting of six equal sides and six equal angles.
Here we have two regular hexagons
one top small hexagon cake with side length = 3 in, height = 3 in
One big hexagon cake, side length = 4 in, Height = 4 in
A slice cut such that it removes a side segment is equivalent to an equilateral triangle with side length = length of hexagon side
Also, all angles within the equilateral triangle are 60° each
Therefore, the length of the side of the removed equilateral triangle side
Top small cake slice triangle side = 3 in.
Area of surface of small slice = 1/2 x b x h = 1/2 x 3 x 3 x sin 60
= 9√3/ 4
The volume of a small slice
= Area of surface small slice × Height of small cake
= 9√3/ 4 x 3
= 11. 69
Big cake slice triangle side = 4 in.
Area of the surface of big slice = 1/2 x 4 x 4 x sin 60
= 4√3
The volume of big slice = Area of surface of big slice × Height of big slice
= 16√3
= 28
Total volume of slice = Volume of small slice + Volume of big slice
Total volume of slice = 12 in³ +28 in³ = 40 in³
For the small cake, the remaining volume = 5 x 11.69 = 58.45
For the big cake the remaining volume = 5 x 27.71 = 138.56
Total volume remaining cake = 58.45 in³ + 138.56 in³ = 197.014 in³
a = Length of side
h = Height of hexagon
The volume of each slice is, therefore,
= a^2 x h x √3/4
For the small cake, we have
a = 3 in.
h = 3 in.
Volume of small slice = a^2 x h x √3/4
= 9 x 3 x √3/4 = 27√3/4
For the big cake, we have
a = 4 in.
h = 4 in.
Volume of big slice = a^2 x h x √3/4
= 16 √3
The total volume of slice = Volume of small slice + Volume of a big slice
Total volume of slice = 27√3/4 + 16 √3
The total volume of slice = 39404 in³.
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the perpendicular distance of a point from the x-axis is 4 units and the perpendicular distance from the y axis is 5 units write the coordinates of such a point if it lies in the first quadrant second quadrant third quadrant and fourth quadrant
Answers
Step-by-step explanation:
let p be the point which is at a distance of 4 units from the x-axis and at a distance of 5 units from the y axis
(i) When P lies in the first quadrant then the coordinates of P are (5,4).
(ii) When of P lies in the second quadrant then the coordinates of P are (-5,4).
(iii) When P lies in the third quadrant then the coordinates of P are (-5,-4).
(iv) When P lies in the fourth quadrant then the coordinates of P are (5,-4).
Hope it helps you!!Known as periodic reports, interim reports or interim statements, these updates provide important company information between annual reporting periods. To help protect investors and keep the public informed, regulations typically require public companies to submit company performance reports more than once a year.Known as periodic reports, interim reports or interim statements, these updates provide important company information between annual reporting periods. To help protect investors and keep the public informed, regulations typically require public companies to submit company performance reports more than once a year.
9 cm
6 cm
8 cm
12. Some high school students made a rectangular prism-shaped box, shown in the figure, to
will be available. Find the volume of the rectangular prism.
OA. 432 cm³
O B. 348 cm³
O C. 729 cm³
O D. 512 cm³
O Mark for review (Will be highlighted on the review page)
Answers
Answer:
A
Step-by-step explanation:
the answer is A because I said its C :)
Which of the following equations is equivalent to S=pi r^2 h
Answers
The equation that is equivalent to S=pi r^2 h is h = S/pir^2
Subject of formulaThis is a way of representing a variable with another. Given the equation
S=pi r^2 h
We are to make 'h" the subject of the formula.
Divide both sides by pir^2
S/pir^2 =pi r^2 h/pir^2
h = S/pir^2
Hence the equation that is equivalent to S=pi r^2 h is h = S/pir^2
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There are 5 new books and 6 used books on a shelf. (a) What is the ratio of used books to all books on the shelf?
Answers
If there are 6 used books and 11 total books, then there are 6 used books per 11 total books hence 6:11
What is the length of a diagonal of a square with a side length of 8?
A. 4
B. 42
C. 4√3
D. 8√√2
Answers
only answer if you know! no spams :)
Answers
The radius of a semicircle is 5 centimetres. What is the semicircle's diameter?
Answers
The diameter [tex]d = 2r[/tex], where [tex]r[/tex] is the radius. Thus, [tex]d = 2 \times r = 2 \times 5 = 10cm[/tex]
The load requirement in your plan is 60 psf at a joist spacing of 16 inches . If the room dimensions are length 13 feet 2 inches and width 11feet 7 inches are 2 by 10 boards appropriate
Answers
The correct answer is; No, because the 2 x 10 boards can support neither the width nor length of the room.
How to find the dimensions?
We are given;
Load requirement = 60 psf
Joist Spacing = 16 inches
Length of room; 13 feet 2 inches
Width of room; 11 feet 7 inches.
Since we want to consider whether 2 by 10 boards are appropriate, this length of 2 by 10 will not be appropriate because it cannot cover up for a room with dimensions of 13 feet 2 inches and 11 feet 7 inches.
Thus, we can conclude that No, because the 2 x 10 boards can support neither the width nor length of the room.
The missing options are;
A. Yes, because 2 x 10 boards can support the width and length of the room
B. Yes, because 2 x 10 boards support the 70 psf
C. No, because 2 x 10 boards can support only the width of the room
D. No, because the 2 x 10 boards can support neither the width nor length of the room
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Answer and explanation please
Answers
Step-by-step explanation:
So, let the N=10a+b
N=10a+b,P(N)=ab,S(N)=a+b
10a+b=ab+a+b
9a-ab=0
a(9-b)=0
a=0 and 9-b=0, b=9. the number is 9. but 9 is not two-digit number. So there is no N which satisfied previous conditions.
Which of the following describes the polynomial function?
Answers
=> (x-2)(x-5)(x-7)
=> (x^2 -5x -2x +10)(x-7)
=> (x^2 -7x +10)(x-7)
=> (x^3 -21x^2 +10x -7x^2 + 49x -70)
=> x^3 -28x^2 + 59x -70
The following is true:
* the polynomial has a positive leading coefficient.
* the polynomial has a domain of x = (-oo, oo)
Which is a conditional statement for the sentence?
For all real numbers a, b, and c, a = b implies that a−c=b−c.
A.If a, b, and c are real numbers, then a = b.
B.For all real numbers a, b, and c, if a−c=b−c, then a = b.
C.For all real numbers a, b, and c, if a = b, then a−c=b−c.
D.If a, b, and c are real numbers, then a−c=b−c.
Answers
The conditional proposition for the given sentence is:
"For all real numbers a, b, and c, if a = b, then a−c=b−c."
Which one is a conditional statement?
A conditional statement is of the form:
If P, then Q.
Where P and Q are two propositions.
The sentence is:
"For all real numbers a, b, and c, a = b implies that a−c=b−c."
So the propositions are:
P = "a = b"
Q = " a - c = b - c"
Where we need to define that this works for all real numbers.
So the conditional proposition is:
"For all real numbers a, b, and c, if a = b, then a−c=b−c."
So the correct option is C.
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please I need the answer
Answers
Answer:
The answer is c
Step-by-step explanation:
one add the numbers 108 & 96=204
then add the numbers from c which is 30+30=60 43+43=86 29+29=58
then add 60+86+58 which will be 204 so c is the answer your welcome
come
y = 2(6 + 1) + 5(3 + 2)
Answers
Step-by-step explanation:
According to PEMDAS parentheses are first.
2(6+1) can be simplified to 12+2.
5(3+2) can be simplified to 15+10
Add these two together.
12+2+15+10
14+15+10
29+10
y=39
Note - when you have something like this in math 2(6+1) it means you need to do 2 x 6 and 2 x 1
Living on less than what you make means not
Answers
Answer:
living beyond your means.
Step-by-step explanation:
Pay for what you need and don't go into debt.
A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?
Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
Both plans cost the same when 22 texts are sent.
Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
Both plans cost the same when 50 texts are sen
Answers
Answer: Both plans cost the same when 50 texts are sent.
Step-by-step explanation:
When x=50 (meaning 50 texts are sent), the y coordinate (which represents the cost) is the same.
A candidate for office plans to visit 6 cities before the state primary.
How many different ways can the campaign staff arrange her travel route?
Enter your answer as a whole number, like this: 42
Question 2
A candidate for office plans to visit 6 cities before the state primary.
How many different ways can the campaign staff arrange her travel route?
Enter your answer as a whole number, like this: 42
Answers
There are 720 different ways the campaign staff can arrange her travel route
How to determine the number of route?The given parameter is:
Cities = 6
The candidate cannot be at all 6 cities at the same time.
This means that we make use of factorial.
So, we have:
Ways = 6!
Evaluate the factorial expression
Ways = 720
Hence, there are 720 different ways the campaign staff can arrange her travel route
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What is the future value of a 5-year annuity due with annual payments of $ 2,535 , evaluated at a 14.18 percent interest rate? Enter your answer to the nearest $.01. Do not use $ or , signs in your answer. Enter your answer as a positive number.
Answers
Answer:
$19,201.09
Step-by-step explanation:
The future value of the annuity due can be found using any of a number of apps, calculators, or spreadsheets. It can also be found using the formula ...
A = P(1 +r)((1 +r)^n -1)/r
where P is the annual payment, r is the annual interest rate, and compounding is yearly for n years.
A = 2535(1.1418)(1.1418^5 -1)/0.1418 ≈ 19,201.09
The value will be $19,201.09.
(-1,-4) and (-201,-49)
Find the distance between the two points
Answers
Answer:
205 units
Step-by-step explanation:
The distance formula is D = √(x2-x1)^2 + (y2-y1)^2
Lets say -1 is x1 ; -4 is y1; -201 is x2 ; and -49 is y2
we just need to plug it into the formula and solve now
√ (-201 - -1)^2 + (-49 - -4)
√-200^2 + -45^2
√40000 + 2025
√42025 = 205
The distance between the two points is 205 units.
Find the area of a regular polygon with 7 sides that has a perimeter of 63 inches and an apothem of 8 inches.
Area = [?]in2
Answers
Answer:
see the attachment photo!
He was, without a doubt, the most prolific writer of mathematics of all time. Euler is credited as being the first mathematician to define function in the way we currently think of functions. In his book, Introductio in analysin infinitoriumin, he stated, “A function of a variable quantity is an analytic expression composed in any way whatsoever of the variable quantity and numbers or constant quantities.”
Based on what we know a function to be today, what did Euler mean by an analytic expression?
an expression formed with many variables and no numbers
an expression formed with many numbers and no variables
an expression formed from operations such as addition, multiplication, powers, and roots
an expression formed using only multiplication of a variable and a number
Answers
Based on what we know a function to be today, Euler mean an analytic expression "an expression formed from operations such as addition, multiplication, powers, and roots"
Euler's definition of a functionAccording to Euler, a function of a variable quantity is an analytic expression composed in any way whatsoever of the variable quantity and numbers or constant quantities.”
The function is. combination of expression which includes variables and constants using various operations such as roots, power and multiplication.
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Which choice is equivalent to the expression below?
√-27
OA. -3√3
OB. 3143
O C. -√√27
OD. -3√√37
OE. 3√3
Answers
√ -27
apply radical rule- √-a - √ -1 √ a
√ -27- √ -1 √ 27
- √-1 √ 27
i √ 27
3√ 3
The equivalent expression for the given expression is 3i√3.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is √-27
= i√27
= i√(9×3)
= 3i√3
Therefore, the equivalent expression for the given expression is 3i√3.
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Find the side of an equialateral triangle if it's area is 9√3 cm2
Answers
Step-by-step explanation:
We know that the area of an equilateral triangle of side a cm is
[tex] \rm \: Equilateral \: Triangle = \cfrac{ \sqrt{3} }{4} {a}^{2} \: cm[/tex]Let a cm here be 9√3 then we could get our solution.
[tex] \rm\implies \rm 9 \sqrt{3} = \cfrac{ \sqrt{3} }{4} \: a {}^{2} [/tex]
[tex] \implies \rm \: \cfrac{ \sqrt{3} }{4} {a}^{2} = 9 \sqrt{3} [/tex]
[tex] \implies \rm \: a {}^{2} = 36[/tex]
[tex] \implies \rm \: a = \sqrt{36} = \sqrt{6 \times 6} [/tex]
[tex] \implies \rm \: a = 6 \: cm[/tex]
Thus, the side of the equilateral triangle is 6 cm.
what is the effect of the “-“ when y= (x+3)^ is changed to y=-(x+3)^?
Answers
Answer + Step-by-step explanation:
The effect of the “-“ when y = (x+3) is changed to y = -(x+3) is creating a negative slope and y-intercept,
y = -(x+3) distributed is y = -x - 3
Visual representation:
The red line: y = (x+3)
The blue line: y = -(x+3)
Calculate the distance between the points H=(4,-8) and C=(9,-4) in the coordinate plane.
Answers
Answer:
[tex]find the functions whose derivative is 0[/tex]
Jen wants to save money for the future. Jen invests $1,100 in an account that pays interest rate of 4%.
How many years will it take for the account to reach $2,900? Round your answer to the nearest hundredth.
Answers
The number of years it will take for the money to be $2900 is 40.91 years
How to find the years the money will accrue to 2900 dollars?Using simple interest formula,
I = prt / 100
we are looking for t
where
p = principalr = ratet = timeI = simple interestTherefore,
I = 2900 - 1100 = 1800
1800 = 1100 × 4 × t / 100
cross multiply
180000 = 4400t
t = 180000 / 4400
t = 40.9090909091
t = 40.91 years
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In triangle ABC, AP is an angle bisector of angle BAC. What is the length of PC? Round you answer to the nearest whole number.
A) 6 B) 7 C) 8 D) 9
Answers
Answer:
D) 9
Step-by-step explanation:
x = ½ × 13 = 6.5
y = ½ × 5 = 2.5
6.5 + 2.5 = 9
So the length of PC is 9
HOPE THIS HELPS AND HAVE A NICE DAY <3
Reese, Greg, and Brad meet once a week for coffee. They each have their favorite café and, to be fair, they use
randomization to choose where they will meet. Each person has a colored marble: red (R) for Reese, green (G) for
Greg, and blue (B) for Brad. Each week, all three marbles are mixed well in a bag and a marble is selected. The
favorite café of the person associated with the selected marble is chosen for that week's meeting. Which of the
following represents the sample space for choosing a café for the first two weeks?
OR & G, R & B, G & R, G & B, B &R, B & G
OR&R, R&G, R & B, G & G, G & B, B & B
R&R, R&G, R & B, G & R, G & G, G & B, B &R, B&G, B & B
R&R, R&G, R & B, R & G, G&R, G & G, G & B, B &R, B & G, B & B
OO
Answers
All the samples are given as {R&R, R&G, R&B, G&R, G&G, G&B, B&R, B&G, B&B}.
What are sample?A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.
Reese, Greg, and Brad meet once a week for coffee.
They each have their favorite café and, to be fair, they use randomization to choose where they will meet.
Each person has a colored marble: red (R) for Reese, green (G) for Greg, and blue (B) for Brad.
Each week, all three marbles are mixed well in a bag and a marble is selected.
The favorite café of the person associated with the selected marble is selected for that week's meeting.
Then the total number of the outcomes will be
Total outcomes = 3 × 3
Total outcomes = 9
All the samples are given below.
{R&R, R&G, R&B, G&R, G&G, G&B, B&R, B&G, B&B}
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