[tex]\stackrel{\textit{area of the great circle}}{A=\pi r^2}\hspace{5em}81\pi =\pi r^2\implies \cfrac{81\pi }{\pi }=r^2\implies 81=r^2 \\\\\\ \sqrt{81}=r\implies 9=r \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{surface area of the sphere}}{SA=4\pi r^2}\hspace{5em}SA=4\pi (9)^2\implies SA=324\pi ~in^2[/tex]
Evaluate 1/4 c + 3d when c = 6 and d = 7
Answer:
SolutioN :
Just plug in the values of c & d in the given expression and calculate :[tex] \longrightarrow \bf \: \frac{1}{4} \times 6 + 3 \times 7[/tex]
[tex] \longrightarrow \boxed{\bf{ \frac{45}{2} }}[/tex]
Our final answer is 45/2 .--------------HappY LearninG <3 -------
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Evaluate 1/4c+3d when c=6, and d=7.
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
Replace c with 6, and d with 7:-
[tex]\Large\text{$\displaystyle\frac{1}{4} (6)+3(7)$}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\Large\text{$\displaystyle\frac{1}{4} \times\frac{6}{1}+21$}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\Large\text{$\displaystyle\frac{6}{4} +21$}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\Large\text{$\displaystyle\frac{6}{4}+\frac{84}{4}$}[/tex]
[tex]\bigstar[/tex] Adding the numerators,
[tex]\Large\text{$\displaystyle\frac{90}{4}$}[/tex]
[tex]\bigstar[/tex] Finally, Reducing the fraction:-
[tex]\Large\text{$\displaystyle\frac{45}{2}$}[/tex]
[tex]\Uparrow[/tex] [tex]\mathbb{OUR\:SIMPLIFIED\:EXPRESSION}[/tex]
Good luck with your studies.[tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]
what is the least common denominator in 6/x = 4/x-8 + 1
a) x-8
b) x^2-8
c) 8x
d) x(x-8)
Answer:
d) x(x-8)
Step-by-step explanation:
Both of the denominators in the problem have to be in the common denominator. It needs the x because of the 6/x and it also needs to have x-8 because of the right side of the equation.
Answer:
d x(x - 8).
Step-by-step explanation:
That would be x * (x - 8)
PLEASEEEEEE HELPPPPIE WELPIEEE
Answer:
A
Step-by-step explanation:
Answer:
The answer would be A. Hope this Helps! :)
Step-by-step explanation:
What is the range for the following set of measurements? 7.1 g, 9.8 g, 2.3 g, 8.5 g, 7.4 g, 5.7 g
Answer:
7.5
Step-by-step explanation:
you take the largest number (9.8) and subtract with the smallest number (2.3)
9.8-2.3= 7.5Q2 - Distance and average speed
Use the graph to work out
the following correct to 1 dp:
Answer:
See below ~
Step-by-step explanation:
Part 1 - Acceleration when t = 3
Acceleration is constant during the time period t = 0 to t = 4a = change in velocity / change in timea = 22 - 11 / 4 - 0a = 11/4a = 2.75 m/s²Part 2 - Deceleration when t = 12
Deceleration is constant during the time period t = 8 to t = 15Distance covered in the time period = 1/2 x 7 x 22 = 77 mv² - u² = 2aS0 - 484 = 2(77) × aa = -484/154a ≈ -3.14 m/s²Part 3 - Total Distance Covered
Area under the graph gives distanceFrom t = 0 to t = 4S = 1/2 x 11 x 4 + 11 x 4S = 22 + 44 = 66 m2. From t = 4 to t = 8
S = 22 x 4 = 88 m3. From t = 8 to t = 15
77m (found in Part 2)Total distance = 66 + 88 + 77 = 231 m
Part 4 - Average Speed
Avg. Speed (t = 0 to t =4)66/4 = 16.5 m/s2. Avg. Speed (t = 4 to t = 8)
88/4 = 22 m/s3. Avg. Speed (t = 8 to t = 15)
77/7 = 11 m/sAverage Speed = 16.5 + 22 + 11 / 3
49.5/316.5 m/sCompared to if she had bought no items on sale, by what percent was jan’s total grocery bill discounted? round to two decimal places. a. 15.85% b. 16.50% c. 16.65% d. 17.50%
The total percentage by which Jan's groceries were discounted is 16.65% approximately. (Option C). See the attached and the explanation below.
How was the total percentage discount arrived at?Step 1 - Reverse engineer, the figures to get the original prices first.
You can do this by dividing the discounted prices by the result that you get when you remove the decimal version of the discounted percentage from number one. For Chicken that would be 8.47/(1-0.85) = $9.96 (Original price.)Step 2 - Sum up all the discounted prices as well as the Original prices then find the difference.
This comes to 22.47 - 18.72 = $3.75Step 3 - Divide the difference by the original price to get the percentage difference
$3.75/$22.47 = 16.68% (Nearest answer is Option C)
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A circle is centered at (−4, 9) and has a radius of 11.
What is the equation of the circle?
Answer:
(x +4)² +(y -9)² = 121
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
__
We are given that (h, k) = (-4, 9) and r = 11. When we put these values into the equation, it becomes ...
(x -(-4))² +(y -9)² = 11²
We can simplify this a bit to ...
(x +4)² +(y -9)² = 121
2. A fish tank is shaped like a rectangular prism. 1 2 square feet. The area of the base of the fish tank is 6 The height of the fish tank is 3 feet. 2 What is the volume, in cubic feet, of the fish tank?
Answer:
A. Makes the most sense. If you are using multiplication you'd get 18 1/16
Step-by-step explanation:
Which is equivalent to cos-1(0)? give your answer in radians.
If cos90 is equivalent to zero, hence the cos inverse of 0 is 90 degrees which is equivalent to pi/2 in radians
Inverse of trigonometry functionInverse of a function are the opposite of the function. Given the inverse of cosine function as shown:
[tex]cos^{-1}x[/tex]
If x = 0, hence;
[tex]cos^{-1}{0[/tex]
If cos90 is equivalent to zero, hence the cos inverse of 0 is 90 degrees which is equivalent to pi/2 in radians
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Help with these 10th grade geometry angle problems? I'm desperate and my teacher won't help me. Please also explain how you got your answer. Thank you.
Answer: 60
Step-by-step explanation:
See
m<COB and m<EOD are opposite anglesHence they are equal in measure.Hence
m<COB=60°
I will mark brainlist to whoever answers first
Answer:
its D
Step-by-step explanation:
i did the math ez
Answer:
C) ∠V , ∠U , ∠W
Step-by-step explanation:
The smallest angle is opposite to the smallest side.
Sides in ascending order: WU < VW < UV
Angles in ascending order: ∠V < ∠U < ∠Wsimplify
Please help ASAP
[tex]\dfrac{4v^2}{wu+u^2} \times \dfrac{7w+7u}{4v-8v^2}\\\\\\=\dfrac{4v^2(7w+7u)}{(wu+u^2)(4v-8v^2)}\\\\\\=\dfrac{4v^2 \cdot 7(w+u)}{u(w+u)\cdot 4v(1-2v)}\\\\\\=\dfrac{7v}{u(1-2v)}[/tex]
I will multiply twenty negative numbers together, with fifteen positive numbers. If the value of my number is x, how does it compare to zero? Fill in the blank using >, <, or, = to make the statement true.
x enter your response here
Answer:
x = 27
Step-by-step explanation:
Finding variation constant :
k = y/xk = 18/9k = 2Substituting in the equation y = kx, where y = 54 :
54 = 2xx = 54/2x = 27The radius of a circle is 8 centimeters. What is the circle's area?
which number line shows -4 , 1,1 and 2 correctly plotted
Answer:
C
Step-by-step explanation:
The number line in option C contains the points -4, -1, 1 and 2 correctly plotted.
the answer is c :) lol it's the correct one I think
Select the correct answer from each drop-down menu. the expression above can also be written in the form . for this expression, a = , b = , and c = .
The value of a, b and c from the given expression above are 15, 1 and 4 respectively
Indices expressionIndices are written in form of exponential expression. Given the expression
[tex]\sqrt[4]{15}[/tex]
We are to write the expression in the form
[tex]a^{b/c}[/tex]
This is simplified as shown
[tex]\sqrt[4]{15}= 15^{1/4}[/tex]
Compare both expression
a = 15
b = 1
c = 4
Hence the value of a, b and c from the given expression above are 15, 1 and 4 respectively
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A store owner puts in an order for product x and product y for a total of 4,000 units. it costs $0.10 per item to ship of product x and $0.04 per item to ship product y. if the total shipping cost is $352, which system of equations can be used to determine how much of product x and product y the store owner bought? startlayout enlarged left-brace 1st row x y = 4,000 2nd row 10 x 4 y = 352 endlayout startlayout enlarged left-brace 1st row 10 x 4 y = 4,000 2nd row x y = 352 endlayout startlayout enlarged left-brace 1st row x y = 4,000 2ndrow 0.1 x 0.04 y = 352 endlayout startlayout enlarged left-brace 1st row 0.1 x 0.04 y = 4,000 2nd row x y = 352 endlayout
The system of equations can be used to determine how much of product x and product y the store owner bought is x + y = 4,000
0.10x + 0.04y = 352
Simultaneous equationproduct xProduct yTotal units of x and y = 4,000 unitsCost of shipping each product x = $0.10Cost of shipping each product y = $0.04Total cost of shipping = $352The equation:
x + y = 4,000
0.10x + 0.04y = 352
Therefore, the system of equations can be used to determine how much of product x and product y the store owner bought is x + y = 4,000
0.10x + 0.04y = 352
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Answer:
C
Step-by-step explanation:
GIVE BRAINLY PLEASE HELP
Which figure correctly shows the line of symmetry
Which summation formula represents the series below?
1 + 2 + 6 + 24
Answer:
First one is the answer of the question u asked
Answer:
Option a: ∑⁵(n−1)! is the correct answer.
n=²
Step-by-step explanation:
Option a: ∑n=25(n−1)
By substituting the values of n and expanding the summation, we have,
(2−1)!+(3−1)!+(4−1)!+(5−1)!
Subtracting, we have,
1!+2!+3!+4!
Expanding the factorial,
1+(2∗1)+(3∗2∗1)+(4∗3∗2∗1)
Simplifying, we get,
1+2+6+24
Thus, the summation ∑⁵ (n−1)! represents the
n=2
series 1+2+6+24
Hence, Option a is the correct answer.
IF a universal set U = {x:x belongs to N , x less or equal to 10} , A ={y:y = 2n , n belongs to N , n less than 5} and B ={z:z = 3n , n belongs to N , n less than 4}
Answer:
your answer is N = {xxx: =9n
What is the value of the expression 30-(-6)?
0 -180
O -5
O 5
O 24
Answer:
36? its not on there but that is it.
Ciara bought four burgers.
She paid with a £20 note and got £6 change.
a
How much did each burger cost?
£3.50 for each burger
3.50×4= 14 left over is 6 from the 20 pound note
use technology to find the solution to the system: 8x - 4y = -24 4x - 12y = -32
The solution to the system of equation 8x -4y = -24, 4x - 12y = -32 is x = 19 / 8 and y = 5 / 4
How to find solution to the system of equation?The solution of the system of equation can be found as follows:
8x -4y = -24
4x - 12y = -32
Multiply equation(ii) by 2
8x - 4y = -24
8x - 36y = -64
32y = 40
y = 40 / 32 = 5 / 4
8x - 4(5 / 4) = -24
8x - 5 = -24
8x = -24 + 5
8x = 19
x = 19 / 8
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What is the range for the set of data? 6, 7, 10, 12, 12, 13 11 7 6 13
Answer:
7
Step-by-step explanation:
the range is the difference between the highest and lowest value in a data set.
13 is the highest in the distribution
6 is the lowest in the distribution
13-6=7
Give brainliest, please!
Hope this helps :)
please help me with my math problem
Answer:
A
Step-by-step explanation:
sin 32=29.2/x
x=29.2/sin 32
Answer:
[tex]A.\:\:x =\frac{29.2}{\sin (32)\degree}[/tex]
Step-by-step explanation:
[tex]\huge \sin 32\degree =\frac{29.2}{x}[/tex][tex]\huge\implies x =\frac{29.2}{\sin (32)\degree}[/tex]
Write a system of inequalities using the given graph
For dark line
(0,1)(-1,-4)Slope
m=-4-1/-1=5Equation in point slope form
y-1=5xy=5x+1Put (0,0)
0<1As line is dark sign is ≤
The inequality
y≤5x+1For dashed line
(2,0)(0,-2)Equation in intercept form
x/2-y/2=1x-y=2y=x-2Put (0,0)
0>-2Symbol is >
Inequality is
y>x-2What is the mean absolute deviation of 3 3 1 9 3 1 8
Answer:
2.57 or rounded to 1 sig digit just 3
Solve the system of equations below: 4x + 6y = 32 and 3x - 6y = 3
Pls show work will give brainliest :)
Answer:
x=5 y=2
Step-by-step explanation:
3x-6y=3
3x=3+6y
x=1+2y
Substitute x for 4x+6y=32
4+8y+6y=32
4+14y=32
14y=28
y=2
3x-12=3
3x=15
x=5
A rectangular banner has a perimeter of 192 inches and a length of 60 inches.
What is the width of the banner? please answer!
width= area /length
width= 192/60
Width= 3.2 inches
Answer:
36 is the width.
Step-by-step explanation:
A rectangle has four sides.
So the equation should be:
60+60+?+?= 192.
In order to cancel out the two 60s, you subtract it from 192.
So,
?+?=72.
The sides opposite of a rectangle is congruent, thus,
72/2=36.
The width of the rectangular banner is 36, and to check the answer you just plug all the digits in.
60+60+36+36=192.
Hopefully this helped!
Find the area of the figure. (Sides meet at right angles.)
Answer:
44ft^2
Step-by-step explanation:
Break the shape into 3 rectangles, two 3 by 2's and one 4 by 8. (Get 4 by subtracting 3 from 7 for the left and right most side)
3 x 2 = 6 ft^2
since there's two rectangles you end up 6 + 6 so you get 12 ft^2
then 4 x 8 = 32 ft^2
add 32 and 12, get 44 ft^2