Answer:
44/45 radians
Step-by-step explanation:
The area is given by the formula ...
A = (1/2)r²θ
where θ is the central angle in radians.
Filling in the given numbers, we have ...
110 cm² = (1/2)(15 cm)²θ
θ = (220 cm²)/(225 cm²) = 44/45 radians
The subtended angle is 44/45 radians, about 56.02°.
Ella has twelve cards numbered I to 12. What is the probability she picks three even-numbered cards in a row, if the first two cards are not replaced?
Answer:
1/11Step-by-step explanation:
even #s between (or including) 1 and 12:
2, 4, 6, 8, 10, 12
there are 6
6/12 for the first one
5/11 for the second one (one even # less)
4/10 for the third one
To find the probability of picking three even numbers from 1 to 12 in a row three times:
multiply the probabilities together:
(6/12)*(5/11)*(4/10)=(24/120)*(5/11)=(12/60)*(5/11)=(1/5)*(5/11)=5/55=1/11
There are currently 3000 in the state of Colorado their population is increasing at a rate of 2% per year how many years will it be before there are 6000 moose in the state of Colorado. Round your answer to the nearest year
Answer:
50 years
Step-by-step explanation:
the answer is 50 years bc 2% of 3000 is 60 and to get to 300 from 60 you would multiply by 50 to get 3000 added to the populationg colorado has now you get 6000.
brainliest pls
Given triangle ABC shown below, which graph shows the transformation
(x + 3, y-2)
A
B
C
D
Answer:
its c
Step-by-step explanation:
please answer this.....
Answer:
Step-by-step explanation:
10)a) Let the number = x
4x + 8 = 16
Subtract 8 form both sides
4x + 8 - 8 = 16 - 8
4x = 8
Divide both sides by 4
4x/4 = 8/4
x = 2
The number is 2
b) Let the number = x
4x - 8 = 6
Add 8 to both sides
4x - 8 + 8 = 6 + 8
4x = 14
Divide both sides by 4
4x/4 = 14/4
x = 3.5
The number is 3.5
11) a) Increase in cost = 105 - 100 = $ 5
b) Percentage increase = [tex]\frac{5}{100}*100[/tex]
= 5%
12) Number of girls = 35
Number of girls wearing glasses = 15
Number of boys = 40
Number of boys wearing glasses = 10
a) Percentage of boys wearing glasses = [tex]\frac{10}{40}*100\\[/tex]
= 25%
b) Percentage of girls wearing glasses = [tex]\frac{15}{35}*100[/tex]
= 42.86%
c) Total children = 35 +40 = 75
Total children wearing glasses = 15 + 10 = 25
Percentage of children wearing glasses = [tex]\frac{25}{75}*100[/tex]
= 33.33%
Which equation represents “the product of a number and 24 is 72”? 24 p = 72 24 = 72 p (24) (72) = p StartFraction p Over 24 EndFraction = 72
Answer:
24p = 72
Step-by-step explanation:
Let the number be p.
The product of p and 24 equals to 72.
p × 24 = 72
24p = 72
Answer:
24p = 72
Step-by-step explanation:
A
When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation. Nicole found x = y – 10 for the same equation and substituted y – 10 for x in the other equation. Who is correct? Explain
Answer:
They are both correct.
Step-by-step explanation:
As we can see, it does not matter whether you plug in x or y in a system of equatins. One thing somebody might be skeptical about in this equation is that one of the equations does not contain a variable. BUT, if reading closer, one can see that both x and y have to be in one of the equations to make the other true.
Hope this helped!
We will see that both Jared and Nicole are correct.
Working with systems of equations:
So we know that Jared found an equation:
y = x + 10, then he substituted y for (x + 10) on the other equation, this would be the substitution method, and Jared is correct so far.
We also know that Nicole found the equation:
x = y - 10
And she replaced x by y - 10 on the other equation, she is also correct.
So why both of them are correct?Each one just substituted a different variable, that is why they have different approaches, but in both cases the substitutions are correct.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
Please answer this......
Answer:
Step-by-step explanation:
45=5*3^2
75=5^2*3
1. LCM=product of the common and uncommon prime factors at the biggest power
LCM=3^2*5^2=9*25=225
2. HCF= product of the common prime factors at the lowest power
HCF=3*5=15
3. 10*x-3
4. 6^2-7^2=36-49=-13
5. I. K=4-1=3 drinks
II. Total=4+3=7 drinks
6. You will draw exact as inthe drawing with dimensions l=8 cm,h=3cm, w=4 cm
Answer:
Step-by-step explanation:
LCM of two numbers is the smallest number that is evenly divisible by the two numbers
1) 45 = 3 * 3 * 5 = 3² * 5
75 = 3 * 5 * 5 = 3 * 5²
LCM = 3² * 5² = 9 *25 = 225
LCM = 225
2) HCF of two numbers is the greatest number which divides each of them exactly.
HCF of 45 and 75 = 3*5 = 15
HCF = 15
3) 10x - 3
4) m² - n² = 6² - 7²
= 36 - 49
= -13
m² - n² = -13
When two numbers are in different sign, subtract and the result will have the sign of the bigger number.
5)a) Kate prepared (4-1) 3 drinks
b) Total volume of drinks = 4 + 3 = 7
SOMEONE PLEASE HELP!! thank you :)
Answer:
This is an arithmetic sequence with a common difference d of -9
Step-by-step explanation:
When you find out d, you realize the difference between the numbers to be -9. Since it is d and not common ratio r, it is an arithmetic sequence.
In the diagram, ∠ADE ≅ ∠ABC. The ratios and are equal.
Answer:
[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]
Step-by-step explanation:
According to the given situation, as we know that the triangle which is ADE and triangle which is ABC are the same
. (as in the diagram)
So, the ratio of their corresponding sides are the same or an equal so that it can be reached at the truth which is here below:
[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]
With the help of a diagram, we can better understand which has been attached.
The ratios AD : DB and AE : EC are equal.
Find the volume pls
Answer:
V = 960 cm ^3
Step-by-step explanation:
The volume is given by
V = Bh where B is the area of the base
B = 1/2 bh since the base is the triangle
B = 1/2 *12*8 =48
V = 48 * 20
V = 960 cm ^3
Answer:
960 cm^3
Step-by-step explanation:
volume of prism = (area of base) * (height of prism)
This is a triangular prism, so the base is a triangle.
area of base of prism = area of triangle = bh/2
The base of the triangle is 12 cm. The height of the triangle is 8 cm.
The height of the prism is 20 cm.
volume = (12 cm)(8 cm)/2 * 20 cm
volume = 960 cm^3
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
Step-by-step explanation:
Hello,
[tex]x^6-6x^3y+9y^2\\\\=(x^3)^2-2\cdot x^3\cdot 3y+(3y)^2\\\\=(x^3-3y)^2[/tex]
So the correct answer is
[tex]x^3-3y[/tex]
Do not hesitate if you have any question
The probability that the number 72 bus is on time is
0.76
What is the probability that the number 72 bus will
be late?
Answer:
Probability that it will be late = 1-0.76 = 0.24Hope it helps........Solve the equation 2x + 10 = 30
PLEASE ANSWER THIS GEOMETRY QUESTION ASAP FOR ME PLEASE!!
Answer:
60°
Step-by-step explanation:
30° + 90° = 120°
180° - 120° = 60°
180 is the sum of interior angels
Subtract (3 + 2i) from (-9 - 8i)
Answer:
[tex]-12-10i[/tex] is the required answer.
Step-by-step explanation:
[tex]\left(-9-8i\right)-\left(3+2i\right)\\\\\mathrm{Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number}\\\\=\left(-9-3\right)+\left(-8-2\right)i\\\\=-12-10i[/tex]
Best Regards!
Please help me. 10 points
Simply t^12/t^6
Answer:
The answer is option B
Step-by-step explanation:
t^12/t^6
Use the rules of indices.
Since they have the same base and they are dividing we subtract the exponents.
That's
t^12 - 6
= t^6
Hope this helps you
Answer:
[tex] {t}^{6} [/tex]Option B is the right option.
Solution,
[tex] \frac{ {t}^{12} }{ {t}^{6} } \\ = {t}^{12 - 6} \\ = {t}^{6} [/tex]
Explanation:
To divide expression with same base, we copy the base and subtract the indices.
Hope this helps...
Good luck on your assignment..
In the year of disposition how is the depreciation deduction calculated for real rental property that has been depreciated using the mid-month convention?
Answer:
Step-by-step explanation:
The deductible amount will be controlled constantly in which the asset is arranged.
It takes approximately 8 working days for an orderof number 6 screws to arrive once the order has beenplaced. (Refer to Problem 6-18.) The demand fornumber 6 screws is fairly constant, and on the aver-age, Lila has observed that her brother's hardwarestore sells 500 of these screws each day. Because thedemand is fairly constant, Lila believes that she canavoid stockouts completely if she only orders thenumber 6 screws at the correct time. What is theROP?
Answer:
Step-by-step explanation:
Given that:
The demand for number 6 screws is fairly constant and brother's hardware store sells 500 of these screws each day.
So;
The demand for number 6 screws = 500 screws /day
It takes approximately 8 working days for an order of number 6 screws to arrive once the order has been placed.
Delivery time-frame = 8 days
Lila believes that she can avoid stockouts completely if she only orders the number 6 screws at the correct time.
i.e Lila would want to have 8 days (delivery time-frame) × 500 screws /day
= 4000 screws
This implies that these 4000 screws will only last for 6 days.
Thus Lila ROP ( reorder point) will be to reorder for another set of screw the day she receives the current shipment, this implies that after 8 days she would have sold the present 4000 screws and she will be expecting a new re-stock.
In this exercise, we have to use our knowledge of finance to calculate the number that should be replenished in the stock, in this way:
This implies that these 4000 screws will only last for 6 days.
The exercise statement states that:
6 screws is fairly constant and brother's hardware store sells 500 of these screws each day.With this information we can also say that:
It takes approximately 8 working days for an order of number 6 screws to arrive once the order has been placed.Then, performing the calculation, we find:
[tex] 8 * 500 = 4000 screws[/tex]
See more about finances at brainly.com/question/10024737
if a truck starts from rest and its has acceleration of 4m/s 2. for second ,calculate its final velocity .what will be the distance travelled by the truck during the time interval?
Answer:
The answer is given below
Step-by-step explanation:
Let us assume the truck accelerates for 4 seconds.
Given that:
Initial velocity (u) = 0 (starts from rest),
acceleration (a) = 4 m/s²
time (t) = 4 s
Final velocity (v) = ?,
Distance (s) = ?
To calculate the final velocity, we use the formula:
v = u + at
Substituting values gives:
v = 0 + 4(4)
v = 0 + 16
v = 16 m/s
The final velocity is 16 m/s²
To calculate the distance traveled by the truck, we use the equation:
[tex]s=ut+\frac{1}{2}at^2\\ Substituting\ values\ into\ the\ equation:\\s=0(4)+\frac{1}{2}(4)(4)^2\\s=0+2(16)\\s=0+32\\s = 32\ meters[/tex]
The distance traveled by the truck during the time interval is 32 meters
Mary invests £12000 in a savings account.
The account pays 1.5% compound interest per year.
Work out the value of her investment after 2 years.
Answer:
Step-by-step explanation:
We khow that Mary invested 12000£ and the account pays 1.5 percent interest per year.
So we should khow what is the value of this 1.5 percent interst .
12000£⇒100 percent
x ⇒ 1.5 percent
x= [tex]\frac{1.5*12000}{100}[/tex]=180 mary inested for 2 years so : 2x=2*180=360so the value after 2 years is : 12000+360=12360
It takes 6 hours to reach London from Minneapolis. Amanda took a flight to London from Minneapolis and reached at 7:15 pm London time. At what time did she depart Minneapolis at London time?
i will mark as brainliest
please explain I will mark as brainliest
Answer:
1:15 pm
Step-by-step explanation:
It takes 6 hours to reach London from Minneapolis and she reached Minneapolis at 7:15pm so
7:15 - 6 = 1:15
Mrs. Carlyle bought a bag of nuts for her children. Phillip, Joy, Brent, and Preston took some from the bag.Phillip took 1/3. Joy took 1/4 of the remaining nuts. Brent took 1/2 of the remaining peanuts.Preston took 10. There were 71 remaining in the bag. How many peanuts were oringinally in the bag? How many peanuts did each child take?
Answer:
Originally there was 324 nuts in the bag.
Phillip took 108, Joy took 54, Brent took 81 and Preston took 10.
Step-by-step explanation:
Let's call the total amount of nuts N, and the number of nuts each child took by the initial of their name (Phillip will be P1 and Preston will be P2).
So we can write the following equations:
P1 = N/3
After removing N/3, the remaining nuts is (N - N/3):
J = (N - N/3)/4 = (2N/3)/4 = N/6
After removing N/6 from (N - N/3), the remaining nuts is (N - N/3 - N/6):
B = (N - N/3 - N/6)/2 = (N/2)/2 = N/4
P2 = 10
In the final there were 71 nuts remaining, so we have that:
N - N/3 - N/6 - N/4 - 10 = 71
N - N/3 - N/6 - N/4 = 81
N/4 = 81
N = 324 nuts
The amount of nuts took by each child is:
P1 = N/3 = 108 nuts
J = N/6 = 54 nuts
B = N/4 = 81 nuts
P2 = 10 nuts
HELP PLZZZZZZZZZZ!!!!!!!!!
Wyatt solved the following equation:
x + 1/2 (6x − 4) = 6
it due today!!! I will give the first answer brainliest.
Answer:
x = 2
Step-by-step explanation:
x + 1/2 (6x - 4) = 6
Expand the brackets.
x + 3x - 2 = 6
Add like terms.
4x - 2 = 6
Add 2 on both sides.
4x = 6 + 2
4x = 8
Divide 4 into both sides.
x = 8/4
x = 2
Answer:
x=5/4
Step-by-step explanation:
solve for x. 5x+9=24
Answer: x=3
Step-by-step explanation:
5x+9 =24 subtract 9 from both sides
-9 -9
5x = 15 Divide both sides by 5
x = 3
Answer:
[tex]5x = 24 - 9 \\ 5x = 15 \\ x = \frac{15}{5} \\ x = 3[/tex]
Write these numbers in standard form.
a)
seventeen thousand
b) twenty six million
c)
seven hundred and forty thousand
Answer:
A) 17,000 = 1.7x10^4
B) 26,000,000 = 2.6x10^7
C) 740,000 = 7.4x10^5
Step-by-step explanation:
Answer:
1.7x10
Step-by-step explanation:
What is the product?
Answer: [-12, 3, 2, -2]
Step-by-step explanation:
Multiply each corresponding integer by each other.
4 * -3 = -12
3 * 1 = 3
-1 * -2 = 2
-1 * 2 = -2
The population of Watesville decreases at a rate of 1.6% per year. If the population was 62,500 in 2014, what will it be in 2020?
Answer:
56,735 people
Step-by-step explanation:
We can set up an equation to model this:
The equation for exponential decay is y = C(1 - r)^t, where C is the original amount, r is rate of change, and t is time.
We can plug in the corresponding values and solve:
y = 62500(1 - 0.016)^6
y = 62500(0.984)^6
y = (62500)(0.9077)
y = 56,734.94, which we can round to 56,735 people
Write 2 to the power of 60 the expression
as an exponent with the base of: 8
62 POINTS PLEASE HELP
Answer:
Step-by-step explanation:
2^{60}=8^x
2^{60}=(2^3)^x
2^{60}=2^{3x}
60=3x
x=20
Answer:
8^20 would be the answer
Geometry -true or false- After we prove that a theorem is true it becomes a definition
Answer:
False
Step-by-step explanation:
A definition produces out of nothing a new mathematical entity. But a theorem utilizes some relation between previously defined mathematical entities.
Usually a theorem must be verified by a proof of its correctness on the basis of generally accepted statements or on the basis of previously established statements which might include other theorems.