Reason:
Rewrite the given equation into [tex](x-6)^2 + (y-(-5))^2 = 5^2[/tex]
I changed the y+5 into y-(-5), and also replaced 25 with [tex]5^2[/tex]
Then compare that to the circle template of [tex](x-h)^2 + (y-k)^2 = r^2[/tex]
We see that h = 6 and k = -5 to give a center of (h,k) = (6, -5)
Side note: the radius is r = 5 units
Find an angle between 0 degrees and 360 degrees and that is coterminal with 1260 degrees.
Answer:
The 180 degrees angle.
Step-by-step explanation:
We can start by dividing 1260 / 360 = 1080. Therefore, a 1080 degrees angle would be coterminal with 360.
Now we take 1260 - 1080, to see how many degrees we have left, this gives us: 180, therefore, the angle between 0 and 360 that is coterminal with 1260 degrees is the 180 degrees angle.
If a +b+c+d+e= 576°, find the value
of angle f. Give your answer in degrees (°).
Answer:
f = 144 degrees
Step-by-step explanation:
Since there are 6 angles (a,b,c,d,e,f), this means that it is a 6-sided polygon. The formula to find the total sum of interior angles is (n-2)*180, n being the amount of sides.
Let's plug it into the formula: (6-2)*180 = 720
This means that a+b+c+d+e+f = 720, but we can substitute (a+b+c+d+e) for 576.
576+f=720
f = 144 degrees
X • 1/5 = 60 Find out what x represents. Show work.
Answer:
x*1/5=60
5[x*1/5=60]
x=5*60
x=300
Step-by-step explanation:
-introduce the multiplicative inverse of 1/5 to the equation.
- 5*1/5 gives 1 on L.H.S
-Similarly 5*60 gives 300 on R.H.S
-finally x=300
Work out the percentage change to 2 decimal places when a price of £11 is decreased to £8.
Answer:
27.27%
Step-by-step explanation:
find the change in price
£11-£8=£3
percentage change=( (change in price)÷ (original price)) ×100%
(£3/£11) × 100%
=27.27%
Your teacher just bought a new aquarium that is a rectangular prism. If his/her aquarium has a length 48 inches, a width of 36 inches and a height of 30 inches, what is the aquarium’s volume?
The volume of the rectangular aquarium prism will be 51840 cubic inches.
What is a rectangular prism?A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.
Your teacher just bought a new aquarium that is a rectangular prism.
If an aquarium has a length of 48 inches, a width of 36 inches, and a height of 30 inches.
Then the volume of the aquarium will be
The volume is given as
Volume = Length x Width x Height
Then we have
Volume = 48 x 36 x 30
Volume = 51840 cubic inches
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Jessica wants to plan where she will place furniture in her room, so she has drawn a scale model of her room in order to begin planning. the scale model is 11 inches long and 8.5 inches wide. jessica notices that the door to her room takes up 1.75 inches on the right-side wall of her room, and she realizes that she cannot place any furniture in the area that the door turns through when it is opened. if the longest wall in jessica’s actual room is 15 feet long, what is the best estimate of the area of the actual space in her room where furniture cannot be placed because of the door? 6 ft 2 6.5 ft 2 18 ft 2 9 ft 2
Answer:
(d) 9 ft²
Step-by-step explanation:
To find the excluded area for furniture, we can find the actual size of the door, then compute the area of the semicircle that it turns through. The door size will be the product of the drawing dimension and the scale factor relating the room to the drawing.
__
door sizeRoom size and drawing size are proportional. This means ...
door size / door drawing = room length / room drawing
door size / (1.75 in) = (15 ft)/(11 in)
door size = (15 ft)(1.75/11) = 105/44 ft ≈ 2.386 ft
__
exclusion areaThe area of a circle with radius r is given by the formula ...
A = πr²
Then the area of a semicircle (half a circle) with radius 2.386 ft will be ...
A = 1/2π(2.386 ft)² ≈ 8.945 ft²
A good estimate of the furniture exclusion area is 9 ft².
_____
Additional comment
The scale factor is (15 ft)/(11 in) = 15/11 ft/in. Multiplying that by 7/4 in gives 105/44 ft.
Sally has 90 apples and she adds a double of what she subtracts. Now, she has 1/4 of 1000. How much does she add?
Answer:
I think it's 160...
Step-by-step explanation:
1/4 of 1000 is 250
250
- 90
____
160
Eric plays basketball and volleyball for a total of 95 minutes every day. he plays basketball for 25 minutes longer than he plays volleyball. part a: write a pair of linear equations to show the relationship between the number of minutes eric plays basketball (x) and the number of minutes he plays volleyball (y) every day. (5 points) part b: how much time does eric spend playing volleyball every day? show your work. (3 points) part c: is it possible for eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95 minutes and plays basketball for 25 minutes longer than he plays volleyball? explain your reasoning. (2 points)
Answer:
a-x=y+25
b-35 minutes
c-nort possible
Step-by-step explanation:
can't explain due to the fact it will take 30m to type up
Solve5x+3=23
answers:
4
5.5
15
25
Which row of the input/output table is incorrect? y = 2 x - 3 x y Row A 3 3 Row B 5 7 Row C 7 11 Row D 10 15 Row B Row C Row A Row D
The row of the input/output is incorrect is Row D.
What is equation?
Given equation: y = 2x - 3
For, row A:
x = 3
y = 2x - 3
So,
y = 2(3) - 3
y = 3, which is correct
For row B:
x = 5
y = 2x - 3
So,
y = 2(5) - 3
y = 7, which is also correct.
For row C:
x = 7
y = 2x - 3
So,
y = 2(7) - 3
y = 11, which is also correct.
For, row D:
x = 10
y = 2x - 3
So, y = 2(10) - 3
y = 17, which is incorrect.
Hence, the row of the input/output is incorrect is Row D.
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What is the y-intercept of this line?
y = =+5
b = [?]
Answer:
b = 5
Step-by-step explanation:
The y intercept is the value when x =0
y = mx+b where b is the y intercept
b = 5
Answer:
b = 5
Step-by-step explanation:
Slope-Intercept form: y = mx + b
where:
m is the slopeb is the y-intercept (when x = 0)[tex]\sf \textsf{Given:}\ \dfrac{-4x}{3}+5[/tex]
[tex]\sf \textsf{slope:}-\dfrac{4}{3}[/tex][tex]\sf \textsf{y-intercept:}\ 5[/tex]Therefore, the value of b is 5.
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What is the length of AC? (Giving 50 Points)
5 and shout out to the one above me :)
Step-by-step explanation:
|-2|+|3|
Distance means basically adding the 2 numbers with absolute value. Absolute value is making both numbers positive.
|-2|+|3| = 5
To check this, you add -2+5 and that is equivalent to 3.
Another way:
Another way is to to count the number of times you can skip on the number line just like I show in the image below.
Answer: Hope this help you!
5
Step-by-step explanation:
|-2|+|3|
Distance means basically adding the 2 numbers with absolute value. Absolute value is making both numbers positive.
|-2|+|3| = 5
To check this, you add -2+5 and that is equivalent to 3.
Another way:
Another way is to to count the number of times you can skip on the number line just like I show in the image below.
Brainliest?
Find the value of x that makes line m parallel to line n.
Answer: x = 20
Step-by-step explanation:
If line m is parallel to line n, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).
This means we will set them equal to each other and solve for x.
Given:
(4x - 23) = (2x + 17)
Add 23 to both sides of the equation:
4x = 2x + 40
Subtract 2x from both sides of the equation:
2x = 40
Divide both sides of the equation by 2:
x = 20
(-4,1) and (2,-3) find length and midpoint of segment
Step-by-step explanation:
the length is calculated via Pythagoras, as the coordinate differences and the direct connection (as the Hypotenuse) between both points create a right-angled triangle.
length² = (-4 - 2)² + (1 - -3)² = (-6)² + 4² = 36 + 16 = 52
length = sqrt(52) = sqrt(4×13) = 2×sqrt(13)
the midpoint is simply ((x1+x2)/2, (y1+y2)/2)
so,
(-4 + 2)/2 = -2/2 = -1
(1 + -3)/2 = -2/2 = -1
therefore, the midpoint is (-1, -1)
Estimate the size of a crowd at a concert where the area is 100 feet by 300 feet
(approximately the size of a football field). Assume 1 person for each 2.5 square feet.
a. 12,000
b. 10,000
c. 24,000
d. 5,000
The size of the crowd is 12,000
What is area of plane shape?This is the portion covered by the shape.
Analysis:
Area of field = 100 x 300 = 30000 square feet
If 1 person covers 2.5 square feet of the file then 30000/2.5 = 12,000 persons will cover the whole field.
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14.4.1:there are five girls in a tennis class. how many different doubles teams of two girls each can be formed from the students in the class?
The number of teams that can be formed is 10
How to determine the number of teams?The given parameters are:
Girls (n) = 5Teammate (r) = 2The number of teams is calculated as:
[tex]Team = ^nC_r[/tex]
So, we have:
[tex]Team = ^5C_2[/tex]
Apply the combination formula
Team = 10
Hence, the number of teams is 10
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20 points!!! Which one of the graphs represent the function?
Answer:
the second one, but I'm not sure if I'm right
how many terms does the expression 6a + 3ab + 2 have
Answer:
3 terms
Step-by-step explanation:
6a is a term
3ab is a term
2 is a term
does someone mind helping me with this question? Thank you!
Answer:
41
Step-by-step explanation:
3(4)²-2(4)+1
48-8+1
41
Answer:
y = 39
:. ? = 39
Step-by-step explanation:
let y represent ?
while x = 4
:. 3x² – 2x + 1 = y
3(4)² – 2(4) + 1 = y
3(16) – 8 + 1 = y
48 – 9 = y
39=y
Any ideas for solving this beast
Answer:
option c
Step-by-step explanation:
Sahira chooses a random sample from the library and records the type of books in the chart below.
Type of Book
Number
Fantasy
10
Literature
25
Children’s
4
Nonfiction
11
The last option c is right because each book selected represents the sample from the population of full library books.
We have given that,
Sahira chooses a random sample from the library and records the type of books in the chart below.
Type of Book Number
Fantasy 10
Literature 25
Children’s 4
Nonfiction 11
t, showing the distribution of the number of books in a library.
Also given that Sahira chooses a random sample from the library and records the type of books in the chart below.
Sahira's sample can be said to be representative because given that books are taken at random.
So just because books literature more we cannot say it is not representative II option is not right, because each book was not chosen uniquely, just random books were drawn.
What is the population?
A population is defined as a group of individuals of the same species living and interbreeding within a given area. Members of a population often rely on the same resources, are subject to similar environmental constraints, and depend on the availability of other members to persist over time.
The last option c is right because each book selected represents the sample from the population of full library books.
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solve 2(x+7) +3 (x+1)
Answer:
5x +17Step-by-step explanation:
Simplify step by step:
2( x+7 ) +3 ( x+1 )
We'll distribute:
= ( 2 ) ( x ) + ( 2 ) ( 7 ) + ( 3 ) ( x ) + ( 3 ) ( 1 )
= 2x + 14 + 3x + 3
We'll Combine Like Terms:
= 2x + 14 + 3x + 3
= ( 2x + 3x ) + ( 14 + 3 )
= 5x + 17 Answer!
Answer:
Step by step Explanation:
2(x+7) +3(x+1)
Open the brackets (multiply outside number by the numbers and letters inside the brackets)
2x + 14 + 3x+ 3
Collect like terms (collect ones that look alike in one side )
2x + 3x + 14 + 3
Add the like terms (add the ones that look alike)
= 5x + 17 (Answer)
I hope you understand it, it's really simple just work step by step.
Good luck ✅.
what number minus 40% equals 42
Answer: 105
Step-by-step explanation:
Answer:
105
Step-by-step explanation:
100%*42=4200
4200/40%=105
Find the code!
• It has 6 different digits
• Even and odd digits alternate (note: zero is an even number)
• Digits next to each other have a difference greater than one
• When we break the code into three sets of two-digit numbers, then the first and middle are a multiple of the last What is the code? (more than 1 solution)
Answer:
692703
816903
496307
816309
903618
Step-by-step explanation:
With even and odd digits alternating, and difference greater than one, then the last 2 digits can only be:
03, 05, 07, 09, 14, 16, 18, 25, 27, 29, 30, 36, 38, 41, 47, 49, ... any higher and we can't make multiples for the first or second pair
Let's check for multiples where even and odd digits alternate and have difference greater than one:
03 has 27, 63, 69, 81
07 has 49, 63
09 has 27, 63, 81
18 has 36, 72, 90
25 has none
27 has none ...
No others work following the rules
When we try to make full numbers that follow all the rules we find only these:
692703
816903
496307
816309
903618
:)
MATH!!! 15 points ;)) find the volume of the composite figure
please answer correctly and check over your work...
Answer:
(2*2*1.5*1/3)+(2*1.5*4)= 14
Step-by-step explanation:
To find the area of a pyramid, you use the equation of 1/3 *lwh. When we place the values in there, we get 2*2*1.5*1/3, which is equal to 2. Then we solve the bottom part. Since it is a rectangular prism, we use the equation of lwh. When we insert the values, we get 2*1.5*4, which is equal to 12. Now, we take these two values of 2 and 12 and we combine them, giving us our final answer of 14.
Question 14 of 16
Identify the domain of the function shown in the graph
A. All positive integers
B. All real numbers
6. All positive real numbers
D. X>=0
B, because you would just assume the line continues forever on both sides.
Please help!! A. 170 B. 205 C. 230 D. 105
Answer:
D. 105
Step-by-step explanation:
500-270, there's 230 total 2 head.
270-100 of one head, is 170 purple one head. 170+125 purple equals 295.
296 subtract from 500 total is 205 for total green.
205-100, 105 2 head.
When accessing your credit card information online, you cannot ___
see statements
view the balance
make purchases
view the bill due dates
When accessing your credit card information online, you cannot makes purchase.
What is credit card?A credit card is a card that enables a card holder to buy or purchase things online on credit.
A credit card holder can carryout the following when accessing their credit card data online:
See their statementsView their balanceView their bill due datesTherefore the correct option is C.
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Complete the table of inputs and outputs for the given function.
g(x)=3-8x
The inputs and outputs for the given function g(x) = 3 - 8x is (-3, 27), (-1, 11), (0, 3), (1, 5) and (3, 21).
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that g(x) = 3 - 8x, hence:
When x = -3; g(-3) = 3 - 8(-3) = 27
When x = -1; g(-1) = 3 - 8(-1) = 11
When x = 0; g(0) = 3 - 8(0) = 3
When x = 1; g(1) = 3 - 8(1) = 5
When x = 3; g(3) = 3 - 8(3) = 21
The inputs and outputs for the given function g(x) = 3 - 8x is (-3, 27), (-1, 11), (0, 3), (1, 5) and (3, 21).
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Select the correct answer from each drop-down menu. two six-sided fair dice are rolled simultaneously. the probability that the sum of the two numbers rolled is greater than 3, given that the sum of the numbers is not greater than 5, is . the probability that one of the numbers is a 6 and the sum of the two numbers is an odd number is .
Two six-sided fair dice are rolled simultaneously.... 6 and the sum of the two numbers is an odd number is mathematically given as
x=7/10
What is the sum of the two numbers?Generally, the equation for Number is mathematically given as
[tex]x=P\frac{E > 3}{Enot > 5}\\\\Therefore\\\\x=P\frac{E > 3}{E\leq5}\\\\x=P\frac{4\leq E \leq5}{E\leq5}\\\\x=P\frac{7/36}{10/36}[/tex]
x=7/10
In conclusion, the sum of the two numbers
x=7/10
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