Answers
Answer:
same thing for the rest, you just change the value of the radius according to the question
Step-by-step explanation:
area = pi * radius²
1)
a = pi * 10²
a = ~3.14 * 100
a = 314 mi²
Related Questions
Circumference if a circle with a diameter of seven
Answers
Answer:
Circumference = 2 x pi x r
Radius, r = 7/2
Circumference = 2 x 22/7 x 7/2
= 22 cm
Answer:
21.99
Step-by-step explanation:
2 times pi times radius
Use the following net to find the volume of the solid figure it represents.
Answers
Answer:
(d) 48 yd³
Step-by-step explanation:
The net shown is of a rectangular prism. To find its volume, we need to know its dimensions. The volume will be the product of those dimensions.
__
edge lengthsThe area of a rectangle is given by the formula ...
A = LW
So, if we know one of the dimensions, we can find the other from ...
W = A/L . . . . . divide by L
For the right-most rectangle, the area is 24 yd², and its length is given as 6 yd. Then the other dimension of that rectangle is ...
W = 24 yd²/(6 yd) = 4 yd
__
For the left-most rectangle, the area is 12 yd², so its width is ...
W = 12 yd²/(6 yd) = 2 yd
__
volumeNow we know the dimensions of the cuboid are 6 yd by 4 yd by 2 yd. Its volume is ...
V = LWH = (6 yd)(4 yd)(2 yd) = 48 yd³
The volume of the solid figure is 48 yd³.
The volume of the solid figure is 48 cubic yd if the length, width, and height of the solid figure are 6, 4, and 2 yd respectively option fourth is correct.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
We have a net of the solid figure shown in the picture.
From the figure, the face has 24 square yards area and one side length is given, we can calculate the width of this face:
24 = 6×w
w = 4 yd
From the face that has 8 square yards area, we can calculate the height of the solid net:
8 = 4h
h = 2 yd
Volume of the solid net = 6×4×2 = 48 cubic yd
Thus, the volume of the solid figure is 48 cubic yd if the length, width, and height of the solid figure are 6, 4, and 2 yd respectively.
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helppppp fast Write The (9m)^4 without exponents
Answers
Hi Student!
Looking at the problem, we are given a variable with a coefficient that is to the power of 4. We are asked to write the same expression but without exponents which means that we need to factor out the exponents to each of the items inside of the parenthesis.
Expand the expression
[tex](9m)^4[/tex][tex](9)^4*(m)^4[/tex]Simplify the expression
[tex]6561*m^4[/tex][tex]6561m^4[/tex]Therefore, the final answer for writing the expression [tex](9m)^4[/tex] without exponents would be [tex]6561m^4[/tex] after expanding the expression.
pls help me pls it's my homework
Answers
Answer:
i think its just water bro
How much
was it check out the photo and please awnser i really need it for my exam And thank you
Answers
Answer:
She would need at least 11 buses leaving 17 spare seats.
Step-by-step explanation:
171+22+13= 206
206/20= 10.3
10.3 = 11
What is the area, in square centimeters, of the shaded part of the rectangle below?
Answers
Answer:
probably it
Step-by-step explanation:
First, get the area of the rectangle then subtract the triangle, the result will be the shaded area:
area rec = 18 * 11
area rec = 198 cm²
small side of tri = 11 - 5
small side of tri = 6 cm
area tri = (height * width) / 2
area tri = (6 * 18) / 2
area tri = 108 / 2
area tri = 54 cm²
area shaded = 198 - 54
area shaded = 144 cm²
According to a poll conducted by the gallup corporation in march 2011, the metropolitan areas with the highest and lowest proportions of obese adults were evansville, in-ky, and boulder, co, respectively. in evansville, for every 311 people who were not obese, there were 189 who were. in boulder, for every 16 obese people, there were 109 who were not obese. at that time, the estimated populations were 358,676 for evansville and 303,482 for boulder. how many more obese people were there in evansville than in boulder
Answers
Using proportions, it is found that 96,734 more obese people were there in evansville than in boulder.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
For Evansville, the proportion of obese people is given by:
189/(311+189) = 189/500.
Hence, out of 358,676 people:
oE = 189/500 x 358676 = 135580.
For Boulder, the proportion is given by:
16/(16 + 109) = 16/125
Hence, out of 303,482 people:
oB = 16/125 x 303482 = 38846.
Hence the difference is given by:
135580 - 38846 = 96734
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If point c lies on the tangent from part (a)
and segment ac was drawn such that mbca
is equal to 40 then what is the ratio of ab to bc to the nearest hundredth?
Answers
The ratio of ab to bc to the nearest hundredth is gotten as; 0.84
How to Solve Circle Geometry?From the attached image showing the circle geometry, we will first connect point A to point B.
After connecting point A to point B, we will draw a perpendicular line to AB through B to terminate at C.
Thus, we can have the ratio of trigonometry at;
tan ∠ABC = AB/BC
Thus;
AB/BC = tan 40
AB/BC = 0.84
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What is the solution to this system of equations? negative 5.9 x minus 3.7 y = negative 2.1. 5.9 x 3.7 y = 2.1. (0, negative 2.1) (0, 2.1) infinitely many solutions no solution
Answers
The solution to this system of equations is infinitely many solutions
How to determine the solution?The system of equations is given as:
-5.9x -3.7y = -2.1.
5.9x + 3.7y = 2.1.
Add both equations to eliminate a variable
-5.9x + 5.9x - 3.7y + 3.7y = -2.1 + 2.1
Evaluate
0 +0 = 0
Evaluate the sum of zeros
0 = 0
Both sides of the equations are the same
Hence, the solution to this system of equations is infinitely many solutions
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Answer:
Option C is correct. The system of linear equation -5.9x - 3.7y = -2.1 and 5.9x +3.7y = 2.1 have infinitely many solutions.
What is system of linear equation?
The system of linear equations is "a set of two or more linear equations or variables is called system of linear equation".
What is infinitely many solutions?
An equation has infinitely many solutions only if "the two lines are coincident and having the same y-intercept".
According to the question,
The system of linear equation,
-5.9 x - 3.7y = -2.1 → (1)
5.9 x + 3.7y = 2.1 → (2)
The equation (1) is same as the equation (2) only the difference equation (1) is multiplied by (-1). Both equation give the same line. To check if above equations have same y-intercept, the equation can be written in slope intercept form y = m x +c where 'm' is the slope of the line, 'c' is the 'y-intercept'.
y = - (5.9/3.7) x + 2.1 [From equation (1)]
y = -(5.9/3.7) x + 2.1 [From equation (2)]
The both equation have same y-intercept. Therefore, the system of linear equations have infinitely many solution.
Hence, the system of linear equation -5.9x - 3.7y = -2.1 and 5.9x +3.7y = 2.1 have infinitely many solutions.
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Step-by-step explanation:
plumber a charges an initial fee of $45 plus a rate of $60 per hour. Plumber B charges $225 flat. Explain how you would determine the number of hours it will take for both plumbers to charge the same amount? HELP IM TAKING A TEST!
Answers
Answer:
3 Hours
Step-by-step explanation:
Plumber A.
Initial fee: $45
Per Hour: $60
Plumber B.
Full rate: $225
To determine the number of hours it will take for both plumbers to charge the same amount you have to start with $45.
Then add 60$ every hour.
$45 + $60 = $105
$105 + $60 = $165
$165 + $60 = $225
Therefore, it takes 3 hours for them to charge the same rate.
Find the value of x.
7x-1
2x - 1
Answers
You can’t find x do to a lack of information.
Pls solve this for me
Answers
Answer:
141/1.95 km/hr, or 72.308 km/hr
Step-by-step explanation:
To find the average speed, we need to know the total distance traveled / time (hours).
The total distance is 72 km + 69 km = 141 km.
The total time is 48 minutes / 60 (because we want this in hours, not minutes) + 69/60 = 1.95 hours
141/1.95 = 72.3 km/hr
In a bag, there are red and blue cubes in the ratio 4 : 7
red blue
4;7
I add 10 more red cubes to the bag.
Now there are red and blue cubes in the ratio 6 : 7
red blue
6;7
How many blue cubes are in the bag?
Answers
The number of the blue cubes is 35 and the number of the red cubes is 20.
What is the ratio?The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times the other number.
Given that:-
In a bag, there are red and blue cubes in the ratio of 4: 7I add 10 more red cubes to the bag. Now there are red and blue cubes in the ratio of 6: 7The number of the blue cubes are calculated as:-
The two equations will be formed by the given data in the question.
[tex]\dfrac{r}{b}=\dfrac{4}{7}[/tex]
7r = 4b
[tex]\dfrac{r+10}{b}=\dfrac{6}{7}[/tex]
7r + 70 = 6b
Solving the above equation we will get the value of b.
4b + 70 = 6b
6b - 4b = 70
2b = 70
b = 35
7r = 4b
7r = 4 x 35
r = 20
Therefore the number of the blue cubes is 35 and the number of the red cubes is 20.
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Which is the standard form of the equation of a parabola with a focus of (8, 0) and directrix x = –8?
Answers
Answer:
Hi,
Step-by-step explanation:
directrix: x=-8
focus=(8,0)
[tex]x=\dfrac{(y-0)^2}{2*(8+8)}+\dfrac{8-8}{2}\\\\\boxed{x=\dfrac{y^2}{32}}[/tex]
What is the minimum of the data?
0
5
7
13
Answers
Answer:
b; [5]
Step-by-step explanation:
i took the quiz
If f(x) = 2x+4, which of the following is the inverse of f(x)?
O A.r1(x) = 7(x+4)
2
OB. f¹(x) = 2(x+4
O C. f¹(x) = 2(x-4)
7
○ D. /¯¹(x) = 7(x-4)
)
2
Answers
By definition of inverse function,
[tex]f\left(f^{-1}(x)\right) = x[/tex]
Given that f(x) = 2x + 4, solve for the inverse of f :
[tex]f\left(f^{-1}(x)\right) = 2 f^{-1}(x) + 4 = x \implies f^{-1}(x) = \dfrac{x-4}2[/tex]
(I'm not entirely sure which answer that corresponds to from the choices provided...)
Today, Isaac needs to walk his dog, water the garden, and feed his fish. DDD is the number of minutes it takes to walk his dog, GGG is the number of minutes it takes to water the garden, and FFF is the number of minutes it takes to feed his fish.
The expression G+(D+F)G+(D+F)G, plus, left parenthesis, D, plus, F, right parenthesis describes the total number of minutes it takes Isaac to do all three tasks. We can also use the expression (G+D)+F(G+D)+Fleft parenthesis, G, plus, D, right parenthesis, plus, F to represent the same quantity.
Match each amount in the situation with the expression that represents it.
For reference:
The dog is an animal, and he needs to go outside to walk.
The garden is a bunch of plants (not an animal), and it is outside.
The fish is an animal, and she lives in a water tank inside.
Answers
The correct matching of each amount in the situation with the expression that represents it is:
The total Minutes of the tasks involving animals.-D+F (Dog and fish)The total Minutes of the tasks not involving animals.-G (Garden)The total Minutes of the Inside tasks.-F (Fish)The total Minutes of the Outside tasks.-G+D (Garden and Dog)Explanations of the expressionsGiven that:
D = number of minutes it takes to walk his dogG = number of minutes it takes to water the garden; andF = number of minutes it takes to feed his fishWe have the situations and expressions that need to be matched such that:
D+FG+DGFTherefore, considering the situation,
The total Minutes of the Inside tasks.The total Minutes of the Outside tasks.The total Minutes of the tasks involving animals.The total Minutes of the tasks not involving animals.The correct matching is given as:
The total Minutes of the tasks involving animals.-D+F (Dog and fish)The total Minutes of the tasks not involving animals.-G (Garden)The total Minutes of the Inside tasks.-F (Fish)The total Minutes of the Outside tasks.-G+D (Garden and Dog)Read more about mathematical expressions here:
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Need help with Trigonometry
Answers
Answer:
29
Step-by-step explanation:
using Pythagorean theory.
equate it to the hypotenus.
thus- hyp sq=adjacent sq +opposite sq
What’s the answer for this?
Answers
Answer:2x
Step-by-step explanation:
What is the distance between these two points: (2, 3) and (- 5, 4)
Answers
Let's apply the distance formula:⇒d=√(x2−x1)²+(y2−y1)²⇒d=√(5−2+(−4−(−3))² ⇒d=√3²+(−7)²⇒d=√9+49 ⇒d=√58 Therefore, the distance between the two points (2,−3) and (5,−4) is √58 units.
How do I solve this?
Answers
Answer:
-7/8
Step-by-step explanation:
Quadratic formula is ax^2 + bx + c
In this case, x = -b/2a, which is -7/(2(4)) = -7/8
Answer:
x = - [tex]\frac{7}{8}[/tex]
Step-by-step explanation:
given a quadratic in standard form
f(x) = ax² + bx + c (a ≠ 0 )
then the equation of the axis of symmetry is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = 4x² + 7x + 6 ← is in standard form
with a = 4 and b = 7
then equation of axis of symmetry is
x = - [tex]\frac{7}{2(4)}[/tex] = - [tex]\frac{7}{8}[/tex]
A rectangle is divided into 4 equal rows with 4 squares in each row. mark says 1 square is 1/4 of the whole rectangle. kareem says 1 row of the whole rectangle.
Answers
Kareem is correct
4 rows = each row is 1/4 of the rectangle
please solve quickly
Answers
total no of marbles = 10
no. of marbles which are not yellow = 9
9/10
hope it helps...!!!
Find the slope of the line?
Answers
Answer:
Step-by-step explanation:
(-5, 3) and (-5, -3)
(-3 - 3)/(-5 + 5) = -6/0 = UNDEFINED
That is also the CORRECT ANSWER
Write an equation in
y = mx + b form for
the line graphed.
Answers
Answer:
y=2x-5
explanation
m is gradient so rise over run and b is the y intercept which is -5
Answer: y = 2x - 5
Step-by-step explanation:
Method I:
▪︎ Slope: m = (y2 - y1) / (x2 - x1)
▪︎ b is where the graph crosses the y-axis
▪︎ Points: (1, -3), (2, -1)
▪︎ m = (-1 - (-3)) / (2 - 1) = (3 - 1) / (1) = 2
▪︎ b = -5
▪︎ => y = 2x - 5
Method II:
▪︎ y = mx + b
▪︎ Points: (1, -3), (2, -1)
▪︎ System of equations:
-3 = m*1 + b,
-1 = m*2 + b
-3 = m + b,
-1 = 2m + b
m = -b - 3,
-1 = 2(-b - 3) + b
m = -b - 3,
-1 = -2b - 6 + b
m = -b - 3,
-1 + 6 = -2b + b
m = -b - 3,
5 = -b
m = -(-5) - 3,
b = -5
m = 2,
b = -5
▪︎ => y = 2x - 5
A car travelled a distance of 50km in an hour.what distance did it travel in 30min at the same speed?
Answers
1 hour = 60 minutes
Distance travelled in 60 minutes = 50 km
Distance travelled in 1 minute = 50/60
Distance travelled in 30 minutes = 50/60×30
50/60×30 = 25 km
OR
A car travelled 50 km in 60 minutes. For 30 minutes, half the distance that is 25 km.
how tall is a bridge if a 6-foot-tall person standing 100 feet away can see the top of the bridge at an angle of 30 degrees to the horizon
Answers
Answer:
R. 6+100 tan30∘=6+1003√3 feet tall.
Which explains whether or not the graph represents a direct variation?
On a coordinate plane, a line goes through points (0, 0) and (1, 3).
The graph has a constant of variation of 3, so it represents a direct variation.
The graph has a slope of 3, so it represents a direct variation.
The graph has a positive slope, so it does not represent a direct variation.
The graph does not begin at the origin, so it does not represent a direct variation.
Answers
The line passes through the origin and if it has a constant of variation of 3, so it represents a direct variation , Option A is the correct answer.
What is Direct Variation ?When a quantity increases and the other quantity also increases , then those two quantities are said to be in direct variation.
It is asked in the question that which option depicts whether On a coordinate plane, a line goes through points (0, 0) and (1, 3) , represents a direct variation
As it is mentioned in the question that the line passes through the origin and if it has a constant of variation of 3, so it represents a direct variation.
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Answer:
a
Step-by-step explanation:
can i have help with this
Answers
Answer:
2nd option
Step-by-step explanation:
(5x² - 4x - 1) - (- 4x² - 4)
remove first set of parenthesis and distribute second set by - 1
= 5x² - 4x - 1 + 4x² + 4 ← collect like terms
= 9x² - 4x + 3
[tex](5x^{2}-4x-1)-(-4x^{2}-4)[/tex]
=> [tex] 5x^{2}-4x-1+4x^{2}+4[/tex]
=> [tex]9x^{2}-4x+3[/tex]
hence option two is correct
A line passes through the point(1,6) and is parallel to y=4x+6. what is the value of b?
Answers
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]y= \stackrel{\stackrel{m}{\downarrow }}{4}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we're really looking for the equation of a line whose slope is 4 and passes through (1 , 6)
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{4}(x-\stackrel{x_1}{1})[/tex]
[tex]y-6=4x-4\implies y=4x\underset{\stackrel{\uparrow }{b}}{+2}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]