The area of the shaded region is 73.4 cm².
What is Area ?
An object's area is the space that its boundary encloses. A closed figure's area is determined by how many unit squares are present on its surface.
Given : Radius of circle = 5 cm
The area of circle = πr²
= 25π = 78.57 cm²
Now, the area of segment can be found by using the formula :
= 1/2 × r² × [ πФ/180 - sinФ]
So, area of segment = 1/2 × 25 × [ π×80/180 - Sin 80 ]
= 25/2 × [4π/9 - 0.9848 ]
= 25/2 × [1.3968 - 0.9848]
= 5.15 cm² approx.
So, Th area of shaded region = area of circle - area of segment
= 78.57 - 5.15
= 73.4 cm²
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Which is the cost of the minimum spanning tree of the weighted graph using Kruskal's Algorithm?
28
30
31
40
answer:
i believe 28
Step-by-step explanation:
Pls help because I’m not sure
B
Step-by-step explanation:
What is the volume of the composite figure? ASAP PLEASE!!!!
Answer:
74ft³
Step-by-step explanation:
Okay, so it's basically 3 rectangular figures smashed together so:
We'll do the 2 biggest one's first:
the formula for the volume of a rectangular figure is base x height so we first have to find the base:
4 x 3 = 12
So then we just plug our stuff in here:
12 x 3 = 36
Now there's 2 of these rectangles though so:
36 x 2 = 72
Now we're going to do the one in the middle:
1 x 2 = 2
2 x 1 = 2
Now we add that all together:
72 + 2 = 74
So, the volume of the composite figure is 74ft³
hope this helps:)
Emma and Paul each invest $2,000 into
accounts that earn 6% interest. If Emma's
account earns simple interest and Paul's
account earns compound interest, which is the
value of each person's account after 8 years?
A. Emma - $2,960; Paul - $3,187.70
8. Emma - $960; Paul - $3,187.70
C. Emma - $2,960; Paut- $ 1,187.70
The value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70
What is interest?Interest is the money you pay on top of the amount you borrow which compensates lenders for making their money available as well as the risk they take.
For the borrower, it is like a rental cost, while for the lender it is an income for lending – for risking their money and doing without it for a given period.
Given that, Emma and Paul invested $2,000 into accounts that earn 6% interest.
Emma invested in Simple interest and Paul invested in compound interest,
We need to find the amount of both after 8 years.
Formula to be used =
Simple interest = PRT / 100 [p = principal, r = rate and t = time]
Compound interest =
A = P(1+r)ⁿ [a = amount, p = principal, rate = rate, n = time]
So,
Emma's account after 8 years =
2000 × 6 × 8 / 100 + 2000 = $2960
Paul's account after 8 years =
A = 2000(1+0.06)⁸
A = $3187.7
Hence, the value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70
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Space shuttle Challengerexploded because of O-ring failure shortly after it was launched. O-ring damage and temperature at time of launch for the 23 space shuttle flights that preceded the Challenger. The data is reproduced below.
Flights with O-ring damage 43 57 58 63 70 70 75
Flights with no O-ring damage 66 67 67 67 68 69 70 70 72 73 75 76 76 78 79 81
Is the mean launch temperature for fights with O-ring damage significantly less than for flights with no O-ring damage? Use 5% level of significance.
Answer:
The mean launch temperature for flights with O-ring damage is significantly lesser than Flights with No O-ring
Step-by-step explanation:
Let
Null hypothesis : H0 : μ1 ≥ μ2
Alternate hypothesis : Ha : μ1 < μ2
next calculate the test statistic
t = -2.312
calculate the P-value
p-value = T.DIST ( t ,df ) ( excel function )
= 0.0270
Given that P-value ( 0.020 ) < level of significance ( 0.05 ) we will not fail to reject the null hypothesis
Attached below is the detailed solution
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
he action or condition of becoming or being made wider, larger, or more open.
Step-by-step explanation:
PLEASE HELP AND EXPLAIN IT FOR ME :(
Answer:
15 x 10 x 20 =
Step-by-step explanation:
Answer:
1,100
Step-by-step explanation:
15*10*2=300
20*15*2=600
20*10=200
300+600+200=1,100
you need to find the surface area which means the area of all the sides except the top(bc i think its open???)
a shortcut i used was multiplying sides that have the same area by 2. for example, the side 15*10, there was another side like that, so i multiplied by two instead of having to solve for the other side individually, does that make sense?
check my math if im wrong
Trinh is catering a wedding that 112 people will attend. She is making two cakes, a chocolate cake and a carrot cake. 0.625 of the guests will be served chocolate cake and the rest will receive carrot cake. How many guests will get carrot cake?
Answer:
Step-by-step explanation:
70
Simplify 2a + 14 - 5a - 7 + 8a
Step-by-step explanation:
2a -5a +8a.
2a +8a -5a
10a -5a = 5a
14-7=7
Answer=5a+7
I really need help plsss!!!
Answer:
(a)
[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]
(b) Rate = 5
(c) Rate = 5
Step-by-step explanation:
Given
The attached graph
Solving (a): The piece-wise function
For the first line
Calculate the slope of the first line
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (5,25)[/tex]
So, the slope is:
[tex]m = \frac{25 - 0}{5 - 0}[/tex]
[tex]m = \frac{25}{5}[/tex]
[tex]m = 5[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (0,0)[/tex]
[tex]y = 5(x - 0) + 0[/tex]
[tex]y = 5(x) + 0[/tex]
[tex]y = 5x[/tex]
So, the function of the first line is:
[tex]f(x) = 5x;\ 0 < x \le 5[/tex]
For the second line
Calculate the slope of the second line
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (5,20)[/tex]
[tex](x_2,y_2) = (9,40)[/tex]
So, the slope is:
[tex]m = \frac{40 - 20}{9 - 5}[/tex]
[tex]m = \frac{20}{4}[/tex]
[tex]m = 5[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (5,20)[/tex]
[tex]y = 5(x - 5) + 20[/tex]
[tex]y = 5x - 25 + 20[/tex]
[tex]y = 5x -5[/tex]
So, the function of the second line is:
[tex]f(x) = 5x -5;\ x>5[/tex]
Hence, the piece-wise function is:
[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]
Solving (b): The rate at which customers that buy up to 5lb buy.
[tex]x = 5[/tex]
This question implies that, we determine the rate at which this customer buys.
For [tex]x = 5[/tex]
[tex]f(x) = 5x;\ 0 < x \le 5[/tex]
The slope of the above function is 5.
So, this customer buys at the rate of $5 per lb
Solving (b): The rate at which customers that buy more than 5lb buy the extra pounds above 5lb.
For [tex]x > 5[/tex]
[tex]f(x) = 5x -5;\ x>5[/tex]
Assume x = 6
[tex]f(6) = 5 * 6 - 5[/tex]
[tex]f(6) = 30 - 5[/tex]
[tex]f(6) = 25[/tex]
Express as 20 + 5
[tex]f(6) = 20 + 5 * 1[/tex]
Assume x = 7
[tex]f(7) = 5 * 7 - 5[/tex]
[tex]f(7) = 35 - 5[/tex]
[tex]f(7) = 30[/tex]
[tex]f(7) = 20 + 10[/tex]
Express 10 as 5 * 2
[tex]f(7) = 20 + 5 * 2[/tex]
So, we have:
[tex]f(6) = 20 + 5 * 1[/tex]
[tex]f(7) = 20 + 5 * 2[/tex]
This can be generalized as:
[tex]f(x) = 20 + 5(x - 5)[/tex]
For the above functions;
20 represents the amount they buy the first 5
5 represents the rate at which they buy extra pounds above 5
Hence, they buy the extra pounds at the rate of $5 per pound
A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $327.50. The second order was for 6 bushes and 2 trees, and totaled $142.96. Sam tried to use system of equation to solve the problem If "b" represents bushes and "t" represents trees which system can Sam use?
A 13b + 2t = 327.50 6b + 4t = 142.96
B. 13b + 4t = 142.96 6b + 2t = 327.50
C 4b + 13t = 327.50 2b + 6 = 142.96
D 13b + 4t = 327.50 6b + 2t = 142.96
Answer:
A
Step-by-step explanation:
because mathematics of mathatics equals mathematics
A number machine is shown below.
INPUT
ADD 9
MULTIPLY
BY 5
OUTPUT
a) Calculate the INPUT when the OUTPUT is 40.
[2]
b) Calculate the OUTPUT when the INPUT is n.
+
[2]
Use Guauss-jordan elimination to solve the following linear system.
5x - 2y = -2
-x + 4y = 4
Answer:
wdym
Step-by-step explanation:
jay spent 1/2 of his money on pencils. He had $2.50 left.
How much money did he start with?
Answer:
$5
Step-by-step explanation:
the picture has the question
Plsss help mehh this is urgent
Find the length of segment WX.
6
15
25
10
Answer:
10
Step-by-step explanation:
15 / 6 = 2.5
25 ÷ 2.5 = 10
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Select all numbers that have an absolute value of 4.
Answer: 4 and -4
Step-by-step explanation: There isn't an actual explanation I can give for this answer, it is based on technical meaning.
Answer: 4 & -4
Absolute (denoted by the vertical bars) means that everything between them is converted to non-negative. So |−4|=4 and so is |4|=4 .
Step-by-step explanation:
What is the shape of the cross-section formed when a cone intersects a plane as shown in the drawing
Answer:
triangle
Step-by-step explanation:
only look at the cut off part
Answer:
I believe that the shape is formed to be a circle
Solve for x 103 (3x+4)
PLEASE HURRY THIS IS DUE IN 20MIN
The Green River Freeway has a minimum and a maximum speed limit. Tony drove for 4 hours at the minimum speed limit and 7 hours at the maximum limit, a distance of 710 miles. Rae drove 4 hours at the minimum speed limit and 6 hours at the maximum limit, a distance of 640 miles SOLVE USING elimination
This is not my answer I found it from another brainly
From the beginning we know we are dealing with two different rates. Distance is equal to (Speed X Time). We have two different speeds though. We will call the min speed = x and the max speed = y. With those two ideas in place we can make two equations for both Tony and Rae.
Tony:
2x+3.5y=355
Rae:
2x+3y=320
Now you can solve the equations by subtracting Rae's equation from Tony's
.5y=35 solve for y and you get 70
Now plug that y value back into either equation and you can solve for x. I'll use Rae's distance:
2x+3(70)=320
x=55
Juan deposited $450 in an account that earned 7.5% simple interest.
- He did not make additional deposits and he didn't withdraw any money from the account.
What was the balance in Juan's investment account after 3 years?
Answer:
$551.25
Step-by-step explanation:
$450 x 7.5% = 33.75
33.75 x 3 = 101.25
101.25 + 450 = 551.25
8. How tall is a stack of 26 coins each 0.03 m thick?
Answer:
0.78
Step-by-step explanation:
0.03*26=0.78 simple math lol
Microsoft wants to administer a satisfaction survey to its current customers. Using their customer database, the company randomly selects 50 customers and asks them about their level of satisfaction with the company. What type of sampling is used? A. Systematic B. Convenience C. Simple random D. Cluster E. Stratified
Answer:
Simple random
Step-by-step explanation:
There are various methods which may be employed when we intend to select a certain few from a larger group of subjects. The simple random sampling may be described as the most basic form of random sampling whereby a smaller group or subset is chosen from the larger population entirely by chance (each subject or member of the population has equal chances of being selected). A simple random sampling, the larger group isn't partitioned or subdivided prior to selection, the subsets are just selected as they are. In the scenario above, the database is the population and the 50 samples are selected directly from the database without splitting or prior partioning of the population data.
Samantha answered 90% of the questions on her math test and 80 % of the questions on her history test correctly. If each test had 50 questions , how many questions in all did she answer correctly ?
Answer:
Samantha got 85 questions right.
Step-by-step explanation:
90% of 50 is 45.
80% of 50 is 40.
40 + 45 = 85
:)
Answer:
95
Step-by-step explanation:
Im pretty sure It's 95 because if you get a 90% on a test with 50 questions, you would've gotten 45 correct. If you get an 80% on a test with 50 questions, you would've gotten 40 correct. Then add them.
1.6
Study the following temperature conversions and answer the questions that
follow
°C =( °F 32°C) = 1.8
OF = (1,8 x °C) + 32
The melting point of ice is 0°C, what is this temperature in degrees
2
1.7
Fahrenheit?
2
1.8
Determine the temperature in degrees Celsius if the temperature is 95°F
[12]
Answer:
a. 0°C = [tex]32^{o}[/tex]F
b. 95°F = [tex]35^{o}[/tex]
Step-by-step explanation:
a. The temperature of melting point of ice (0°C) in degrees Fahrenheit can be determined as;
OF = (1.8 x °C) + 32
= (1.8 x 0) + 32
OF = 32
Thus the temperature is [tex]32^{o}[/tex]F.
b. 95°F in degrees Celsius can be determined by;
°C = ( °F - 32) ÷ 1.8
= (95 - 32) ÷ 1.8
= 63 ÷ 1.8
°C = [tex]35^{o}[/tex]
Thus the temperature is [tex]35^{o}[/tex]C.
What is the solution set for 4x+9 <17?
Is B right? Or A?
Answer:
[tex]x<2[/tex]
Step-by-step explanation:
[tex]\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}[/tex]
[tex]4x+9-9<17-9[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x<8[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]=x<2[/tex]
Answer:
4x+9=17
-9 -9 subtract 9 on both sides to cancel 9 on one side of equation and subtracted on the other side
4x=8
divide 4 on both sides to get x by itself
x=8/4
x=2 SOLUTION
Step-by-step explanation:
One amoeba weighs about 1.5×10^-9
grams. About how many grams would a quantity of 5×10^12 amoebas weigh?
9514 1404 393
Answer:
7.5×10^3 grams
Step-by-step explanation:
Your calculator can tell you the product of the weight of each times the number of them. It is ...
(1.5×10^-9)(5.0×10^12) = 7.5×10^(-9+12) = 7.5×10^3 . . . grams
About 7.5 kg.
Caroline has a unique pet chimpanzee that is relatively likely to have twins. Each pregnancy is independent, and
Caroline's chimpanzee has a 60% chance of having 1 baby and a 40% chance of having 2 babies each
pregnancy
If X is a random variable that represents the total number of chimpanzee babies if Caroline's chimpanzee gets
pregnant twice, drag the bars to graph the probability distribution for all possible values of X.
Answer: 2=.36, 3=.48, 4=.16
Step-by-step explanation:
If we let "S" represent 1 baby and "D" represent 2 babies, the sample space for the chimpanzee's 2 pregnancies is {SS, SD, DS, DD}.
We can find the probability of each possible outcome by multiplying the probability of the independent events leading to that outcome.
Outcomes:. Probability:
SS. .60 x .60 = .36
SD. .60 x .40 = .24
DS. .40 x .60 = .24
DD. .40x .40 =.16
Total. 1.00
Lastly group the similar outcomes. SD+DS= .48
On a certain hot summer's day, 321 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $634.25. How many children and how many adults swam at the public pool that day?
Answer:
31 children and 290 adults
Step-by-step explanation:
Let a = number of adults and c = number of children.
a + c = 321
2a + 1.75c = 634.25
Multiply both sides of the the first equation by -2 and add it to the second equation.
-2a - 2c = -642
(+) 2a + 1.75c = 634.25
--------------------------------------
-0.25c = -7.75
Divide both sides by -0.25
c = 31
Use the first equation to find a.
a + c = 321
Substitute 31 for c.
a + 31 = 321
Subtract 31 from both sides.
a = 290
Answer: 31 children and 290 adults