Answer:
Remember that the area of a square of sidelength L is:
A = L^2
And the area of a circle of diameter D is:
A = pi*(D/2)^2
If we inscribe a square in a circle, we will get four segments, like the ones shaded in the image below:
Notice that the diameter of the circle will be equal to the diagonal of the square.
And the diagonal of a square of side length L is:
d = √(2)*L
knowing that the side length of our square is 6 inches, the diameter of the circle will be:
D = √2*6in
Now, the total area of the four shaded parts will be equal to the difference between the area of the circle and the area of the square.
The area of the circle is:
A = pi*(√2*6in/2)^2 = (pi/2)*36in^2
The area of the square is:
A' = (6in)^2 = 36in^2
The difference is:
A - A' = (pi/2)*36in^2 - 36in^2 = (pi/2 - 1)*36in^2
And there are 4 of these segments, then the area of every single one is one-fourth of that:
a = (1/4)*(pi/2 - 1)*36in^2 = (pi/2 - 1)*9 in^2
The area of each segment is:
a = (pi/2 - 1)*9 in^2
if we replace pi by 3.14, the exact area will be:
a = (3.14/2 - 1)*9in^2 = 5.13 in^2
black pencils cost 75 naira each and colour pencils cost 105 naira each if 24 mixed pencils cost 2010 naira how many of them were black hint let there be x black pencils thus there are (24-x) coloured pencils.
Answer:
number of black pencils is 17
2( 5 1 m− 5 2 )+ 5 3 2, left parenthesis, start fraction, 1, divided by, 5, end fraction, m, minus, start fraction, 2, divided by, 5, end fraction, right parenthesis, plus, start fraction, 3, divided by, 5, end fraction
Answer:
2/5m - 1/5
Step-by-step explanation:
Given the equation :
2(1/5m - 2/5) + 3/5
First step:
Open the bracket by multiplying values in the bracket by 2
2/5m - 4/5 + 3/5
-4/5 + 3/5 = (-4 + 3) / 5 = - 1 / 5
Hence,
2/5m - 4/5 + 3/5 = 2/5m - 1/5
= 2/5m - 1/5
11. The student government is selling flowers for homecoming. The project costs them $20 for advertising and
$3 for each flower sold.
a. Evaluate the expressions 3n+20 and 3(n+20) when n = 4.
b. Which expression shows their total cost? How do you know?
Answer:
32
Step-by-step explanation:
3(n+20) = 3(4+20) = 3(24) = 723n+20 = 3(4)+20= 12+20=32If n represents the amount of flowers they sold, then the correct answer should be 32. The cost for each flower they sold would be 3 x 4 and then add $20 for advertising.
Express an angle of square into grade.
Answer:
please solve my questiob check my profile
similar bars of soap are sold in packs of 3 for $2 or packs of 8 for 5.20 find the difference in the price for 48 bars of soap
Which systems of inequality's does this graph represent
Answer:
The second one....
Less than "3" and Greater than "2"
Step-by-step explanation:
please answer this!!
Answer:
16
Step-by-step explanation:
if angle c is 45 then angle A is 45 also
Hence AB is equal to BC
p = 6, q = 7 and r = 4 Work out a2 pr
Answer:
a times 48
Step-by-step explanation:
a times 2 times p(6) times r(4)
2 times 6 is 12
multiply 12 by 4 to get 48
that is how you get a times 48
Nigel makes the claim that x=6 is the solution to the equation 4(5x−12)−7x=5x. His work to support his claim follows. Given: 4(5x−12)−7x=5x Step 1: 20x−48−7x=5x Step 2: 20x−7x−48=5x Step 3: 13x−48=5x Step 4: 13x−13x−48=5x−13x Step 5: 0−48=−8x Step 6: 6=x Which of the following justifications can be used to justify and support Nigel's work? Select all justifications that are correct.
Step 1 is justified by the Distributive Property. , Step 1 is justified by the Distributive Property. , ,
Step 4 is justified by the Symmetric Property. , Step 4 is justified by the Symmetric Property. , ,
Step 5 is justified by the Property of Additive Inverses. , Step 5 is justified by the Property of Additive Inverses. , ,
Step 2 is justified by the Commutative Property. , Step 2 is justified by the Commutative Property. , ,
Step 6 is justified by the Associative Property.
Answer:
Step 1 is justified by the Distributive Property.
Step 4 is justified by the Symmetric Property
Step-by-step explanation:
Given the equation solved by Nigel expressed as
4(5x−12)−7x=5x.
First, we need to expand the bracket using the distributive property
4(5x−12)−7x=5x.
4(5x)-4(12) -7x = 5x
20x - 48 - 7x = 5x
Hence Step 1 is justified by the Distributive Property.
Next is to collect the like terms;
20x - 7x - 48 = 5x
Take the difference
13x - 48 = 5x
Next is to subtract 13x from both sides according to the symmetric property
13x - 48 - 13x = 5x - 13x
Hence Step 4 is justified by the Symmetric Property
The resulting equation will be
0-48 = -8x
Divide both sides by -8
-48/-8 = -8x/-8
6 = x
Hence the correct justifications are Step 1 is justified by the Distributive Property AND Step 4 is justified by the Symmetric Property
Find the gradient, picture below
Answer:
[tex]\frac{dy}{dx} = \frac{13}{8} [/tex]
Step-by-step explanation:
[tex] y = 2x + 6 {x}^{ - \frac{1}{2} } \\ \frac{dy}{dx} = 2 + 6( - \frac{1}{2}) {x}^{ - \frac{1}{2} - 1 } \\ \frac{dy}{dx} = 2 - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {x}^{3} } } [/tex]
When x = 4,
[tex]\frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {4}^{3} } } \\ = \frac{13}{8} [/tex]
Answer:
Hello,
Answer 13/8
Step-by-step explanation:
[tex]y=2x+\dfrac{3}{\sqrt{x} } \\\\y'=2+6*\dfrac{-1}{2} x^{\frac{-3}{2} }\\\\y'=3-\frac{3}{\sqrt{x^3}} \\\\\\For x=4, \\\\y'(4)=2-\dfrac{3}{8} =\dfrac{13}{8}[/tex]
what is the square and square root of 9x⁸
Answer:
square: (9x^8)^2= 81x^16
square root: (9x^8)^1/2 = 3x^4
Step-by-step explanation:
the ^ mean that the following num should be like this ⁸
1. $25; 30% increase
Answer:
32.5
Step-by-step explanation:
25, percentage increased by 30% (percent) of its value = 32.5
im bad at math and i need help ;^;
Answer:
[tex] \sqrt{ {x}^{10} } \div x \\ \frac{ \sqrt{ {x}^{9}x } }{x} \\ = \sqrt{ {x}^{9} } \\ = \sqrt{ {x}^{8}x } \\ = {x}^{4} \sqrt{x} \\ thank \: you[/tex]
Answer:
x⁴√x
Step-by-step explanation:
simplify x¹⁰ and x to √x⁹ then simplify the radical equation to x⁴√x
A
75°
B.
Reflex Angle B =
degrees.
Answer:
285
Step-by-step explanation:
B+A=360, B=360-75=285
An angle whose measure is greater than 180° but less than 360° is termed a reflex angle.
[tex]\large{\textrm{{{\color{navy}{∠A \: + \: ∠B \: = \: 360°}}}}}[/tex]
[tex] \bf \large \longrightarrow \: \:75 \degree \: + \: ∠ B \: = \: 360°[/tex]
[tex] \bf \large \longrightarrow \: \: \angle B \: = \: 360° \: - \: 75 \degree[/tex]
[tex] \bf \large \longrightarrow \: \: \angle B \: = \:285 \degree[/tex]
Write equation of a line in slope intercept form with the given information p=(1,2) m=4
Answer:
[tex]y=4x-2[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
We're given that the slope is 4. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=4x+b[/tex]
Now, to determine the y-intercept, plug in the given point (1,2) and solve for b:
[tex]2=4(1)+b\\2=4+b\\b=-2[/tex]
Therefore, the y-intercept is -2. Plug this back into [tex]y=4x+b[/tex] as b:
[tex]y=4x+(-2)\\y=4x-2[/tex]
I hope this helps!
Someone plz explains this to me
Answer:
x=19.86
Step-by-step explanation:
use cosine,
cos 19°=x/21
x=cos 19° * 21
x=19.86
Plsss help asap plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
The answer is the last one, (X^2-2)/3!
Step-by-step explanation:
To get the inverse of a function, you switch the variables and solve for y. Doing this produces the last choice.
Solve for q.
39 + 4 + 9 = -14
q= [?]
[tex]\\ \sf \longmapsto 39+4+q=-14[/tex]
Simplify left side[tex]\\ \sf \longmapsto q+43=-14[/tex]
Change side.[tex]\\ \sf \longmapsto q=-14-43[/tex]
[tex]\\ \sf \longmapsto q=-57[/tex]
The area of the shaded sector of circle H is 32.
16
H
What is the area of the unshaded sector?
967
O 2247
32871
O 34571
Answer:
B
Step-by-step explanation:
Area of shaded region + Area of unshaded region = Area of circle
Area of the unshaded sector=256*pi-32*pi=224*pi
Answer:
radius Is 16
total area becomes pi r ^ 2 = 16^2 pi = 256pi
remaining area becomes
256 pi - 32 pi = 224 pi option b
brainliest pls
-8a-5=-7a+3 help someone
Answer: a = -8
Step-by-step explanation:
Given
-8a - 5 = -7a + 3
Subtract 3 on both sides
-8a - 5 - 3 = -7a + 3 - 3
-8a - 8 = -7a
Add 8a on both sides
-8a - 8 + 8a = -7a + 8a
a = -8
Hope this helps!! :)
Please let me know if you have any questions
Answer:
a = -8
Step-by-step explanation:
-8a-5=-7a+3 Add 5 to both sides.
- 8a = - 7a + 3 + 5 Combine
-8a = - 7a + 8 Add 7a to both sides
-8a + 7a = 8 Combine
-a = 8 Multiply by - 1
a = - 8
When you get a weird number like this, you should check it.
LHS = -8(-8) - 5
LHS = 64 - 5
LHS = 59
RHS = -(7*-8) + 3
RHS = -(-56) + 3
RHS = 56 + 3
RHS = 59
So a = - 8 must be right.
Find the value of 4 tenths x hundreds.
4000
400
40
4
the value of 4 tenths x hundreds.
4000
Answer:
40
Step-by-step explanation:
4/10 x 100 = 40
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option B, $2020.00
Step-by-step explanation:
Volume of the pool,
12×5×14.5+4×5×7
= 1010 ft³
each cubit foot costs $2, so 1010 ft³ will cost,
1010×$2
= $2020
help me with this question
Answer:
x=5
y=2
w= -5
Step-by-step explanation:
We have that the two matrix are equal, so all corresponding elements are equal.
X-Y=3
From the second row and second column, we have y=2
so x-2=3
x=5
From the third row and the first column, we have w= - 5
लेखकाला शाल देणारे जोडपे
होय साहेब!!!!!!!!!!
Line AB is perpendicular to line BC. What is the justification for the following statement?
m ABC = 90°
Definition of angle bisector
Definition of complementary angles
Definition of perpendicular lines
Definition of supplementary angles
Answer:
definition of perpendicular lines
Solve for 2. Round to the nearest tenth of a degree, if necessary.
w
36
V
20
50
X
PLS HELP
Answer:
Step-by-step explanation:
This is classic right triangle trig. If you're solving for x, which you are, you have to consider how the given sides relate to that angle. The side with a length of 50 is opposite the angle x, while the side of length 36 is adjacent to angle x. The trig ratio that utilizes the sides opposite and adjacent is tangent; HOWEVER, we are looking for a missing angle. Finding missing angles on your calculator requires the 2nd button. To find the missing angle x, you are looking for the angle that has a tangent ratio of 50 over 36 (opposite over adjacent...Toa in SohCahToa). Hit the 2nd button on your calculator and then the tangent button (in degree mode, not radian mode) and you will see this on your screen:
[tex]tan^{-1}([/tex]
After the parenthesis, enter the fraction and then hit the enter button to get the angle measure in degrees:
[tex]tan^{-1}(\frac{50}{36})=54.2[/tex] degrees.
It's very important that you learn how to use your calculator to find the trig identities that give you the ratio in decimal form and how to find the missing angles. Missing angles always use the 2nd button along with whatever trig identity you are using.
Find the surface area of the rectangular prism.
Answer:
SA = 112
Step-by-step explanation:
A = 2wl + 2lh + 2hw
length = 8 km
width = 2 km
height = 4 km
SA = 112 km
Find the measure of one exterior angle for the following regular polygon.
Answer:
40 degrees
Step-by-step explanation:
The formula for calculating the sum of interior angles is ( n − 2 ) × 180 (n = Number of sides)
in this scenario you have 9 sides so put it in the equation.
(9 - 2) ×180 = 1260
1260 is the sum of all the interior angles so we must divide this number by the number of sides to get the angle of one individual interior angle.
1260/9 = 140
180-140 = 40 degrees
Find the measure of a. A. 110 B. 125 C. 55 D. 75
Does this set of ordered Paris represent a function? Why or why not
Answer:
Me = no it doesn't....
you = why tho
me = becoz function not given .....
so lame joke ik...
