Answer:
39.30 [tex]cm^{2}[/tex]
Step-by-step explanation:
The area of the top surface of the wedge is the same as the area of a sector.
Area of a sector = (θ/[tex]360^{o}[/tex])[tex]\pi[/tex][tex]r^{2}[/tex]
where: θ is the central angle, and r is the radius.
Given that: central angle = [tex]45^{o}[/tex], radius = 10 centimetre.
Area of the top surface = Area of a sector = (θ/[tex]360^{o}[/tex])[tex]\pi[/tex][tex]r^{2}[/tex]
= [tex]\frac{45^{o} }{360^{o} }[/tex] x [tex]\frac{22}{7}[/tex] x [tex](10)^{2}[/tex]
= [tex]\frac{1}{8}[/tex] x [tex]\frac{22}{7}[/tex] x 100
= 39.2857
= 39.30 [tex]cm^{2}[/tex]
The area of the top surface of the wedge is 39.30 [tex]cm^{2}[/tex].
The area of the top surface of wedge shaped cheeses bought by Mai is 39.3 cm².
What is the area of a circular sector?The area of a circular sector is the total space occupied by it. The sector area is half of the product of the square of radius of the circle and the central angle.
It can be calculated if theta is measure in radian as,
[tex]A_{sector}=\dfrac{r^2\theta}{2}[/tex]
It can be calculated if theta is measure in degrees as,
[tex]A_{sector}=\dfrac{\pi r^2\theta}{360}[/tex]
Here, (r) is the radius of the circle and (θ) is the central angle.
Several different cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height.
Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. Thus, the area of the top surface of this wedge is,
[tex]A_{sector}=\dfrac{\pi (10)^2(45)}{360}\\A_{sector}\approx 39.3\rm\; cm^2[/tex]
Thus, the area of the top surface of wedge shaped cheeses bought by Mai is 39.3 cm².
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PLEASE HELP ME WITH THIS QUESTION ASAP
Answer:
its 11-17/-3+5 to find the slope its y1-y2 over the difference of the c
Johan is mixing paint he mixes 2 2/3 pints of blue paint and 4 1/6 pints of yellow paint. Which of the following has a ratio of blue paint to yellow paint that is proportional to amounts used in johans paint mixture
Answer:
R = 16:25
Step-by-step explanation:
Given that,
Johan mixes 2 2/3 pints of blue paint and 4 1/6 pints of yellow paint.
We need to find the ratio of blue paint to yellow paint. It can be calculated as follows :
[tex]R=\dfrac{\text{blue paint}}{\text{yellow paint}}\\\\=\dfrac{2\dfrac{2}{3}}{4\dfrac{1}{6}}\\\\=\dfrac{\dfrac{8}{3}}{\dfrac{25}{6}}\\\\=\dfrac{8}{3}\times \dfrac{6}{25}\\\\=\dfrac{16}{25}[/tex]
So, the required ratio is 16:25.
Determine the x- and y- intercepts for the graph defined by the given equation.
x = -9
a. X-intercept is (-9,0)
C. No x-intercept
No y-intercept
y-intercept is (0, -9)
b. No x-intercept
d. x-intercept is (0, -9)
y-intercept is (-9,0)
No y-intercept
❤❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex]x - intercept = ( \: - 9 \: , \: 0 \: )[/tex]
[tex]No \: \: \: y - intercept [/tex]
❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Answer:A
Step-by-step explanation:
passed the test
A 45,000 car depreciates 12% each year. How much does the car decrease by the end of the first year??
Answer:
The car depreciates by $5,400 each year (%12 of 45,000)
By the end of the first year, the car will be worth $39,600
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following:
13 Pennies 15 Dimes
29 Nickels 26 Quarters
What is the probability that you reach into the jar and randomly grab a dime and then, without replacement, a nickel?
Answer:
The probability is 435/6,806
Step-by-step explanation:
Firstly, the total number of coins in the jar is
13 + 15 + 29 + 26 = 83
The probability of selecting a dime is 15/83
Now we want to grab a nickel
Since we already selected a dime and we did not replace it, the number of total coins in the jar will be 83-1 = 82
So the probability of selecting a nickel this time is
29/82
So the total probability of the event in the described order is;
15/83 * 29/82
= 435/6,806
What is the equation of the line below?
Answer:
[tex] y = -\frac{2}{3}x + 1 [/tex]
Step-by-step explanation:
The equation of the line shown can be expressed in the slope-intercept formula as [tex] y = mx + b [/tex]
Let's find m = slope, and b = y-intercept.
Using two points on the line, (0, 1) and (1½, 0),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{\frac{3}{2} - 0} = \frac{-1}{\frac{3}{2}} = - \frac{2}{3} [/tex]
y-intercept, b is where the line intercepts the y-axis = 1.
To create an equation for the line, substitute m = -⅔, b = 1 in [tex] y = mx + b [/tex].
✅The equation would be:
[tex] y = -\frac{2}{3}x + 1 [/tex]
HOWDY CAN I ET SOME HELP PLEASEEEEEEEEEEEEEEEEEEEEE WILL GIVE BRAINLIST
Answer:
Step-by-step explanation:
the answer is 1/5
Answer:
the answer is Z h e n g H e
Step-by-step explanation:
a p e x
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
Answer:
The third choice.
(480 - 400) / 400 * 100.
Step-by-step explanation:
(480 - 400) / 400 * 100
= 80/400 * 100
= 1/5 * 100
= 20%.
The percentage increase method will be { [ 480 - 400 ] / 400 } x 100. The correct option is C.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
The rent of an apartment is increased from $400 to $480.
The percentage change will be calculated as:-
Subtract $400 from $480 and you will get 80. Then divide 800 by 400 (because 100% = total) and you will get which means 20 %. Her hourly wage increased by 18%.
Percentage change = ( 480 - 400 ) / 400
Percentage change = 80 / 400
Percentage change = 0.2 x 100 = 20 %
Therefore, the percentage increase method will be { [ 480 - 400 ] / 400 } x 100. The correct option is C.
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A house on the market was valued at 238,000. After several years, the value decreased by 15% . By how much did the house's value decrease in dollars? What is the current value of the house? Decrease in value and current house value
Answer:
The current house value is $202,300 and the house's decrease in dollars is $35,700.
Step-by-step explanation:
The house on the market was valued at $238,000. After years, it decreased by 15%. So, let's calculate 15% of the total amount.
238,000 x 0.15 = $35,700
Therefore, the house's decrease in dollars is $35,700
To calculate the current value of the house, we need to subtract the value decrease from the original amount.
238,000 - 35,700 = $202,300
Therefore, the current house value is $202,300.
Hope this helps! :)
what is the formula of Cosec (A+B)=
Answer:
c
Step-by-step explanation:
because it's A.B
C.D.
A teacher has $230 in a bank account to spend on school supplies and wins a additional $50 to put toward the school supplies
Answer:
280 is the total
Step-by-step explanation:
Please help
Picture inserted
Multiple choice
Will appreciate it if you help!
Answer:
Step-by-step explanation:
Linear; can be written in the form y = 5x + 4
Which best describes the discriminant of the functions whose
graph is shown?
A. Negative
B. Zero
C. Positive
D. Undefined
Hint: To be collinear, show that : AB
t
SP SQ
यदि P र Q दुई बिन्दुहरू हुन् जसका निर्देशाङ्कहरू क्रमशः (ark, 2at) र (1) र S बिन्दु (a, 0) भए
( 4 )
बाट मुक्त छ भनी देखाउनुहोस् ।
IP and Q are two points whose co-ordinates are (at', 2at) and (a/t^2 , 2a/t)
respectively and S is the point
(a,0). Show that(1/SP +1/SQ)
SO
is independent of t.
ANSWERS
Answer:
As the points are collinear, the slope of the line joining
any two points, should be same as the slope of the line joining two other
points.
Slope of the line passing through points (x
1
,y
1
) and (x
2
,y
2
) =
x
2
−x
1
y
2
−y
1
So, slope of the line joining (p,0),(0,q)= Slope of the line joining
(0,q) and (1,1)
0−p
q−0
=
1−0
1−q
−
p
q
=1−q
Dividing both sides by q,
−
p
1
=
q
1
−1
=>
p
1
+
q
1
=1
Answer:
answer is 1 hope this helps you helps so like this
Help with these questions to
Answer:
Step-by-step explanation:
the formula for calculating the perimeter of a circle (the circumference C) is:
2π * r
And the area is:
π * r²
r is the radius.
Radius is the half of the diameter. The diameter here is equal to two square. One square is 5 of side.
The diameter is 10 and the radius is 5
C = 2 * 3.14 * 5 = 31.4A = 3.14 * 5² = 3.14 * 25 = 78.5It is the same for the other circle
You are running at a speed of 2 meters per second. At that speed, how many feet would you run in a minute?
1 meter = 3.28 feet
Answer:
393.6
Step-by-step explanation:
1 minute=60 seconds
60 seconds x 2 meters= 120 meters
3.28 feet x 120 meters=393.6
Answer: 120 meters
explanation: times 2 meters by 60 Seconds
Step-by-step explanation:
PLEASE HELP ME Given the equation fine f(6)
F(x)=-4x-1
Answer:
-25 plug in 6 for x and minus one
Step-by-step explanation:
Answer:
F(6)=-25
Step-by-step explanation:
F(x) = -4x-1
F(6) means x=6
F(6)=-4(6)-1=-24-1=-25
F(6)=-25
GIVING FIFTEEN POINTS PLS ITS DUE IN A HOUR
G=20
H=2
(g-5+15h)+h
Answer: i think its B
Step-by-step explanation: Because ✨
Answer:
47
Step-by-step explanation:
Add the numbers into the expression. Use PEMDAS to solve. Multiply 15 and 2 first, then go left to right. 20-5=15. 15+30 (got 30 from 15 times 2) =45. 45+2= 47.
Cara saw an advertisement claiming 5 out of
6 students prefer talking on the phone over texting. She predicts that
500 out of 600 students prefer talking on the phone. Explain why her
prediction could be false.
Answer:
It could be false because a) advertisements can't be truested, b) 6 people is not a great number, so it can't be held true.
How do you do this question?
Step-by-step explanation:
Find the next term of the Taylor series.
f⁽⁰⁾(x) = x^⅓
f⁽¹⁾(x) = ⅓ x^-⅔
f⁽²⁾(x) = -²/₉ x^-⁵/₃
f⁽³⁾(x) = ¹⁰/₂₇ x^-⁸/₃
f⁽⁴⁾(x) = -⁸⁰/₈₁ x^-¹¹/₃
So the fourth term would be:
(-⁸⁰/₈₁ z^-¹¹/₃) (x − 1)⁴ / 4!
For 0.8 ≤ z ≤ 1.2, │f⁽⁴⁾(z)│is a maximum at z = 0.8. Therefore:
│R₃(x)│≤ │(-⁸⁰/₈₁ (0.8)^-¹¹/₃) (0.8 − 1)⁴ / 4!│
│R₃(x)│≤ 0.00014923
Looks like you accidentally wrote an extra zero.
Are the given lines parallel? Explain your reasoning.
3. x = -1, y = 2
4. x = 0, x= -3
5. y = 1, y = 5
What are the solution(s) of -3(x - 1) = x - 5?
O-5 and 3
O-3
O1 and 5
O 2
Answer:
x = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-3(x - 1) = x - 5
Step 2: Solve for x
Distribute -3: -3x + 3 = x - 5Add 3x to both sides: 3 = 4x - 5Add 5 to both sides: 8 = 4xDivide 4 on both sides: 2 = xRewrite: x = 2Step 3: Check
Plug in x to verify it's a solution.
Substitute: -3(2 - 1) = 2 - 5Subtract: -3(1) = -3Multiply: -3 = -3Here we see that -3 does indeed equal -3.
∴ x = 2 is a solution of the equation.
Answer:
d) 2.
Step-by-step explanation:
i just did it
an. is a set of numbers used to locate a point on the coordinate plane
What is the Area of a circle with a radius of 2xy
Answer:
So the area of the circle with radius 2xy is 4px2y2.
Directions: Fill in the blank place value chat. Round to the nearest place value 2.431 what is the nearest whole number and the nearest tenth and where would you put the number in a place value chart
Answer:
3,266.53
Rounded to the nearest 0.01 or
the Hundredths Place.
Step-by-step explanation:
F(x)= 1/3 (4-x)^2 what is the value of f(16)
Answer: 48
Step-by-step explanation:
1/3(4 - 16)
1/3(-12)^2 = 1/3(144) or 48
Hope that helped.
Morris fruit farm packs 200 apples in each shipping crate. The crates are then shipped to local supermarkets. How many apples in all are there in 5 crates?
Answer:
There are 1000 apples in total !
Step-by-step explanation:
since there are 200 apples in each crate and there are 5 crates, you just need to multiply to find the total amount.
200 x 5 = 1000
Answer:
40
Step-by-step explanation:
You are deviding 200 and 5 and it gives you 40 cuz if you multiply 40 times 5 it gives you 200 cuz 4 times 5 = 20 your just adding a zero
Suppose that hot dogs come in packs of 9 and buns come in packs of 7. Jim bought the same number of hot dogs as buns. It was the least number of each for
which this was possible.
Answer the following question
List the multiples of each qty:
7, 14, 21, 28,35,42,49,56,63
9, 18, 27, 36, 45, 54, 63
The least common multiple is 63
He bought 63 hotdogs and buns
Answer:
63
Step-by-step explanation:
1 Sandwich cost: £1.10, 1 coffee cost: £ 0.50, 1 tea cost: £0.30, 1 soft drink cost: £0.60. On Friday Will made a profit of £43.70 on sandwiches. How many sandwiches did he sell?
Which number is a factor of 92?
Answer:
46 is the factor
Step-by-step explanation:
92 / 2 = 46
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