Answer:
Center (3, -8), radius = [tex]\sqrt{39}[/tex]
Step-by-step explanation:
The Standard Form for the equation of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
The center is the point (h, k) and the radius is r.
Match up the given equation with the standard form.
[tex](x-h)^2=(x-3)^2 \rightarrow h=3\\(y-k)^2=(y+8)^2 \rightarrow k=-8[/tex]
That last bit can be tricky, k = -8, not 8. Watch the signs!
Each question is worti 2 punts
5. The Eiffel Tower, shown to the right, has a width of 328 feet and a height of 984 feet. Maria
is designing a T-shirt for her trip to France and she wants to put a picture of the Eiffel tower on
the front of the shirt. The maximum space she can use on the shirt is a rectangle with a width of
.75 feet and a height of 1.5 feet. Maria uses a scale factor of where k is an integer, to shrink
the Eiffel Tower and fit it on the t-shirt. What is smallest possible value for k?
Answer:
The smallest possible value of k is 656
Step-by-step explanation:
The given width of the Eiffel Tower, w₁ = 328 feet
The given height of the Eiffel Tower, h₁ = 984 feet
The width of the space Maria can use on the shirt, w₂ = 0.75 feet
The height of the space she can use on the shirt, h₂ = 1.5 feet
We get;
The ratio of height to width of the Eiffel Tower = h₁/w₁ = 984/328 = 3
The height to width ratio of the space on the shirt = h₂/w₂ = 1.5/0.75 = 2
Therefore, that the aspect ratio of the space on the T-shirt is wider than the Eiffel Tower, the height of the space on the T-shirt is the limiting dimension of the scaled picture of the Eiffel Tower
Therefore, the scale factor, k = The ratio of the actual height of the Eiffel Tower, to the height of the space on the T-shirt
Where 'k' represent the integer value to shrink the Eiffel Tower and fit it on the T-shirt, and 'k' is the smallest ratios of the dimensions of width or height of the tower to the dimensions of the width or height of the space available on the shirt, given that the height to width ratio of the area on the shirt is smaller than that of the Eiffel Tower
Mathematically
k = h₁/h₂
∴ k = 984/1.5 = 656
The scale factor of the height of the Eiffel Tower to the height of the space available on the T-shirt, k = The smallest possible value of k = 656.
Please help find the volume by using 3.14 as pi
Answer:
P
v = 794.0275 in³
Q
v = 1,307.81 in³
Step-by-step explanation:
volume of cone
v = πr²h
----------------------------
cylinder P
v = 3.14 * (4.25²) * 14
v = 794.0275 in³
-----------------------------
cylinder Q
v = 3.14 * (7²) * 8.5
v = 1,307.81 in³
Yana though of a number she multlipied it by 8 subtracted 4 divided the result by 2 what number did yana think of
Complete Question
Yana though of a number she multiplied it by 8 subtracted 4 divided the result by 2, and got 30. What number did Yana think of
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
From the question we are told that:
Thought of Number x
Multiplied it by 8
[tex]x*8=8x[/tex]
Subtracted 4
[tex]8x-4[/tex]
Divided the result by 2
[tex]\frac{8x-4}{2}[/tex]
Generally the equation for x is mathematically given by
[tex]\frac{8x-4}{2}=30[/tex]
[tex]8x-4=60[/tex]
[tex]8x=60+4[/tex]
[tex]x=8[/tex]
I need help please and urgent!
Answer:
the answer is blurry for me take a picture again
Step-by-step explanation:
Anne is painting her house light blue. To make the color she wants, she must add 3 cans of white paint to every 2 cans of blue paint. How many cans of white paint will she need to mix with 6 cans of blue?
Answer:
9 cans of white paint
Step-by-step explanation:
To solve this you can set up a ratio.
The ratio right now is 3 : 2, you have 3 cans of white paint for every 2 cans of blue paint. This question is asking how many white paint cans would be needed for 6 cans of blue paint. You can see the relationship between the number of blue paint cans and the new number of blue paint cans, maybe it's multiplying by 4 or 2 for example, and once we find that out we can do the same exact thing to the white cans.
[tex]\frac{3}{2} = \frac{?}{6}[/tex]
We can see that to get from 2 to 6 you multiply by 3, so now we do that to the other side of the fraction as well, we multiply by 3. 3 multiplied by 3 is 9, so if we were to have 6 cans of blue paint we would need 9 cans of white paint to get that perfect shade of light blue. Anne would need 9 cans of white paint if she had 6 cans of blue paint to make her shade of blue.
URGENT PLEASE HELP WILL GIVE BRAINLEIST !!!!!!!!!!
Answer:
4
Step-by-step explanation:
1 change in x and 4 change in y from 1,0 to 0,4 or 4/1
Hi, My answer is correct but I want to know how did I found 72 as the correct answer. Thanks already :) and please don't put any link
Answer:
Lol its just 48 divided by 2/3 and u get 72
Step-by-step explanation:
If you can give Brainiest answer it would be much help :)
a band concert hall has 24 seats of which 18 are occupied what percent of the seats are occupied
Answer:
75%
Step-by-step explanation:
18/24 = .75
Answer:
75%
Step-by-step explanation:
18 / 24 = 0.75%
Help me please. NO LINKS
Answer:
A. 7986.45
[tex] \frac{4}{3} \pir3[/tex]
Why is 31
less than 3 x 10?
Answer:
Step-by-step explanation:
Because 3x10=30 and 31 is greater than 30 by 1 more.
It's not. 3 times 10 is 30.
30<31
PLZ HELP: Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.
Answer:
see explanation
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = [tex]\frac{1}{2}[/tex] x + 4 ( multiply through by 2 to clear the fraction )
2y = x + 8 ( subtract 8 from both sides )
2y - 8 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex](x ) = 2x - 8
[tex]f^{-1}[/tex](4) = 2(4) - 8 = 8 - 8 = 0
Reflection: Across the line y = -1
The A’ is your reflected shape. The red line is y=-1, or your line right reflection. To solve, I counted the distance from the red line on the original triangle, and then the same on the opposite side of the red line, and counted the same distance, plotting the points at the final spot.
find the area of the circle. leave your answer in terms is pi.
a. 9
b. 324
c. 82
d. 18
Answer:
9
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
9×2 =18 or 9+9=18 I haven't done this since 6 grade sorry if I got it wrong
Please help thanks this is due today!
D. [tex] ({ - 8})^{2} - 9 + ( - 7)[/tex] ✅
Step-by-step explanation:
[tex] {( - 32 \div4 })^{2} - 9 + ( - 7) \\ \\ = ({ - 8})^{2} - 9 +(- 7 )\\ \\=64-9-7\\\\ = 64 - 16 \\ \\ = 48[/tex]
Note:-
[tex]\sf\red{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\sf\red{(+\:x\:-)\:=\:-}[/tex]
[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
which word describes the slope of the line?
a) positive
b) negative
c) zero
d) undefined
Answer: To me it (Zero) or (Undefined)
I need help on this
Answer:
it is FH < HI
Step-by-step explanation:
helppppppp pllzzzzzzzzzzzz
Answer:
D 1/25
Step-by-step explanation:
5 multiplied by the negative second power is .04, .04 times 25 equals 1.
Find the volume of the sphere.
Either enter an exact answer in terms of πpi or use 3.14 for π and round your final answer to the nearest hundredth.
Answer:
V=4
3πr3 is formula of this question
PLS HELP!!!
The function c = 1.50(n – 2) + 5.50 represents the cost c in dollars of printing n invitations. Which of the following is not true?
A. Each invitation costs $5.50 to print.
B. For each additional invitation, it costs an extra $1.50 to print.
C. One can not print just one invitation.
D. The cost depends on the number of invitations printed.
Answer:
A
Step-by-step explanation:
Hope this helped!
Answer:
i am pretty sure its B
Step-by-step explanation:
Pls help me with this
Answer:
44ft
Step-by-step explanation:
12ftx6ft=72ft
72ftx2ft= 144ft
144ft-100ft=44ft
Hope this helps! :)
65 70 75 80 85
Brand A
HIH
15
50
60
70
85
Brand B
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Price ($)
Which statement is the most appropriate comparison of the spreads?
O A. The interquartile range (IQR) for brand A, $20, is less than the IQR
for brand B. $70.
O B. The median for brand A, $75, is greater than the median for brand
B, $60.
O C. The interquartile range (IQR) for brand A, $10, is less than the IQR
brand B. $20.
O D. The interquartile ranges (IQRs) for brands A and B are both $20.
Given:
Two box plots for Brand A and Brand B.
To find:
The correct statement for the given box plots.
Solution:
In a box plot, the left end of the box represents the first quartile [tex](Q_1)[/tex], right end of the box represents the third quartile [tex]Q_3[/tex] and the line inside the box represents the median.
The interquartile range of a data set is:
[tex]IQR=Q_3-Q_1[/tex]
From the box plot of Brand A, it is clear that
[tex]Q_1=70[/tex]
[tex]Median=75[/tex]
[tex]Q_3=80[/tex]
So, the interquartile range (IQR) for brand A is:
[tex]IQR=80-70[/tex]
[tex]IQR=10[/tex]
From the box plot of Brand B, it is clear that
[tex]Q_1=50[/tex]
[tex]Median=60[/tex]
[tex]Q_3=70[/tex]
So, the interquartile range (IQR) for brand B is:
[tex]IQR=70-50[/tex]
[tex]IQR=20[/tex]
The median for brand A, $75, is greater than the median for brand B, $60.
The interquartile range (IQR) for brand A, $10, is less than the IQR
brand B. $20.
Therefore, the correct options are B and C.
A calculator which is marked at $120 is sold for cash at a 30% discount. How much change would Susan receive if she pays for the calculator with a $100 bill?
Answer:
64 dollars
Step-by-step explanation: 120×30%= $36-$100= $64
She receives $16 when she pays for the calculator with a $100 bill
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A calculator which is marked at $120 is sold for cash at a 30% discount.
So, It was sold for 70% of its mark value assuming that to x.
∴ (70/100)×120 = x.
x = $84.
So, Susan will receive $(100 - 84) = $16.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
Solve for x and show work
Answer:
Hi,
These are corresponding angles. Corresponding angles are congruent. So the equation would be 100=x+106. Do you think you can solve that? If you can't let me know and I will do it for you?
Step-by-step explanation:
Prove that : (Cos285 + Cos 345 ) ÷ (Sin435- Sin 375 ) = root3
Answer:
you have mula or gula
Step-by-step explanation:
what do you have mula or gula
When f(n)=12, what is the value of n?
Please help!
The graphs of f(x)=−2x and g(x)=(12)x are shown.
What are the solutions to the equation −2x=(12)x ?
Select each correct answer.
-2
-1
2
4
Answer:
-1 and -2
Step-by-step explanation:
The function 2 represented by the equation f(x) = -(x - 2)² + 5 has the larger maximum.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
The functions are given as:
Function 1
f(x) = -(x - 4)² + 1
Function 2:
f(x) = -(x - 2)² + 5
A quadratic function is represented as a (x - h)² + k, when a is negative then, the vertex of the function is a maximum. In both functions, the value of a is -1. This means that both functions are at a maximum
The values of k in both functions are k = 1 and k = 5. By comparison, 5 is greater than 1. Therefore, function 2 has larger maximum.
Read more about quadratic functions at:
brainly.com/question/4140287
#SPJ3
complete question;
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 15 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (−14, 1).
can you help me get the answer for this Q :)
Answer:
sorry need some points
Step-by-step explanation:
49 + 710 is 10390.49 + 710 is 10390.
Mira looks at her fitness monitor and sees that she has run 30% of her miles this
week. If her goal is to run 30 miles this week, how many miles has she run
already? (Provide number only)
Answer:
9
Step-by-step explanation:
Simply multiply 30 by .3.
Hope that this helps!
Which is the value of 2c2d if c = 0.5 and d = 3?
A. 0.15
B. 1.5
C.33
D. 6
E 15
Answer:
The answer is D (6).
hope this helps!
Help pleaseeeeeeeeeeeeeeeeeeeeee ASAP
