The circumference of the circle with a radius of 49mm is 308mm
How to find the circumference of a circle?The circumference of the circle is also known as its perimeter. The formula is expressed as:
C = 2pi r
r is the radius = 49mm
pi = 22/7
Substitute
C = 2 * 22/7 * 49
C = 2 * 22 * 7
C = 308mm
Hence the circumference of the circle with a radius of 49mm is 308mm
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Answer:
B
Step-by-step explanation:
What is the area of a triangle whose vertices are J(-2, 1), K(0, 3), and L(4,4)?
Answer: 3
Step-by-step explanation:
Reset Scarlet bought a coat originally priced at $120. She got a 15% discount. How much did she pay for the coat? $ $
Answer:
$102
Step-by-step explanation:
Reset Scarlet bought a coat originally priced at $120. She got a 15% discount. How much did she pay for the coat?
1. Convert the discount percentage to a decimal:
15/100 = 0.15
2. Multiply the original price by the decimal:
120*0.15 = $18
This is the discount they got.
3. Now, subtract the discounted value from the original price:
120 - 18 = $102
This means that they paid $102 for the coat.
Hope this helps!
Answer:
$102
Step-by-step explanation:
15% of 120
= 15/100×120
0.15×120=$18
therefore, 15% of 120 equal 18
discount= $18
Amount she paid= 120-18= $102
if u want u can answer question 14 and 15 but if u don’t just answer 14
Answer:
For #14, (around) 108 times.
#15 = 53
Step-by-step explanation:
14)
2.69*10^5 = 269000
2.5*10^3 = 2500
269000/2500 = 107.6
Rounding up, we get 108
15)
√(53 - 8)2 + (31 - 3)2
= √(45)2 + (28)2
= √2809
= 53
Hope this helped! I would love a Brainliest if this helped you!
If no digit can be used more than once, find how many numbers that can be formed from the digits 3, 4, 5, 6, 7, 8 are greater than 7000.
Answer:
1 560
Step-by-step explanation:
If no digit (from the digits 3, 4, 5, 6, 7, 8) can be used more than once :
we can form 6P5 = 720 (five-digit numbers) and they are all > 7000
we can form 6P6 = 720 (six-digit numbers) and they are all > 7000
if our number has four digits ,then the digit in the ten-thousands place of it must be 7 or 8 :
In this case :
we can form 5P3=60 number where the digit in the ten-thousands place of it is 7.
and we can form 5P3=60 number where the digit in the ten-thousands place of it is 8.
Final answer :
We can form 720+720+60+60 = 1 560 number greater than 7000
A standard deck of 52 cards is shuffled. One card is drawn at random. The probability that the card is red or an ace is
Answer:
prob of being a red=1/2
prob of being an ace=1/13
Estimate 17.26+4.556 by first rounding each number to the nearest tenth. I need help
Answer:
21.9
Step-by-step explanation:
When rounding to the nearest tenth, we are rounding to 1 decimal place.
If the number in the hundredth place is 5 or more, we round up.
If the number in the hundredth place is less than 5, we round down.
17.26 rounded to the nearest tenth is 17.3
as 6 is in the hundredth place, so we round 2 tenths up to 3 tenths.
4.556 rounded to the nearest tenth is 4.6
as 5 is in the hundredth place, so we round 5 tents up to 6 tenths.
Therefore, 17.3 + 4.6 = 21.9
 Janet Henderson is a secretary. She works Monday to Friday every week. If she worked a
total of 44.5 hours this week, and her regular pay is $11.46 per hour. What is Janet's
overtime pay?
Answer: Janet's overtime pay is: " $ 17. 19 per hour ."
→ and specifically: " $ 77.36 " ;
→ [for the 4.5 hours of overtime pay worked Within the total 44.5 hours Janet worked within the particular Monday to Friday workweek as given within this particular Brainly question/].
__________
Step-by-step explanation:
__________
Note: Let us assume that up to and including "40 hours within a workweek" is paid as a "base rate of regular pay"—and that any hours worked over "40 hours" count as "overtime hours.."
Furthermore: Let us assume that "overtime pay" is paid at the rate of "time and a half". This means that any and all hours worked over 40 hours are "overtime hours"—and that these "overtime hours" are paid at the rate at "1.5 times" the rate of the regular hourly rate.
__________
Note: A secretary is typically a job that is paid by the "hour"; as opposed to certain management positions (which are paid by "salary").
→ So, we shall assume that the secretary, "Janet Henderson", is a "hourly worker"—who is "non-exempt" from being paid "overtime."
→ So, first, given: Janet Henderson worked Monday through Friday for a total of "44.5 hours."
Note: This amount: "44.5 hours" ; is over "40 hours."
{i.e. " [44.5 hours] > [40 hours] ".}.
Note: Any and all hours Janet earned in excess of 40 hours are considered : "overtime hours."
Now: Let us calculate the number of "overtime hours":
→ We subtract: "40"; from the actual amount of hours Janet worked [which is "44.5 hours"] ;
→ " (44.5 − 40) hours " ;
= " 4.5 hours " (of overtime worked).
Now, we are given that Janet's regular pay is: " $ 11.46 per hour."
→ To solve: Find the value of: " (1.5) * ($ 11.46) " ;
Method 1) Use a calculator: to get: " 17. 19 " .
→ The answer is: " $ 17.19 per hour."
Method 2)
→ " 11.46 + [(1/2)* 11.46] " ;
= "11.46 + (11.46 /2)" ;
Note: Let us start by calculating: "(11.46 / 2)" ; that is: "(11.46 ÷ 2)" .
Method A) Note: " 11.46 ÷ 2 = 5.73 " ; → {Using a calculator.}.
Method B)
Using long division; to get: "5.73 " ; as follows:
5.73
2⟌ 11.46
- 10
1.46
- 1.4
0.06
- 0.06
0.00 .
Now: We can write the expression:
→ " 11.46 + [(1/2)* 11.46] " ; as:
→ " 11.46 + 5.73 " ; & then calculate (add the values);
to get" 11.46 + 5.73 = " 17. 19 "
So; Janet's overtime pay is $17.19 per hour.
Other:
To find the specific, exact dollar amount of overtime pay earned for the "4.5 hours" of overtime worked in the particular Monday to Friday workweek as given within the actual question:
→ We multiply this amount—"17.19 dollars"— by the number of overtime hours that Janet worked—"4.5 hours"—as follows:
→ " [tex]\frac{17.19 dollars}{hr} *\frac{4.5 hr}{1}[/tex] " ;
→ The units of "hr" ["hour(s)"] cancel out to: "1 ";
→ {since: ["hr/ hr " = 1 .] } ;
And we have:
→ " (17.19 dollars * 4.5) = _? dollars " ; Solve for: {the "_?_" value.}:
Using a caculator: We get:
→ 77.355 dollars; ⇒ write as: $77.355 ; round to: " $ 77.36 " .
________
Hope this is helpful to you!
Best wishes to you in your academic pursuits!
________
10. In a sale, the price of a digital camera is reduced by 18%.
The new price of the camera is £287.
(a) Work out the price of the camera before the sale
Answer:
£350
Step-by-step explanation:
287/0.82
Solve for x. Round your answer to the nearest tenth if necessary.
Answer:
x ≈ 17.5
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² = 9² + 15² = 81 + 225 = 306 ( take square root of both sides )
x = [tex]\sqrt{306}[/tex] ≈ 17.5 ( to the nearest tenth )
how to convince your parents to go shopping for clothes?
Answer:
Be Nice & Have Manners.
Step-by-step explanation:
Try to be nice and have manners. Being thankful for the clothes you have is always the top priority. Let them browse different kinds of clothes online or in person, and see if there are clothes that you and your parents agree on that you can wear.
I need help question is in image.
What number and what percent describe the probability of a certain event?
Enter the correct answers in the boxes.
The probability of a certain event is
__ or __%.
The probability of an impossible event is
__ or __%.
Answer:
The probability of a certain event is 1 or 100%
The probability of an impossible event is 0 or 0%
Answer:
See below ~
Step-by-step explanation:
The probability of a certain event is 1 or 100%.The probability of an impossible event is 0 or 0%.What is the probability of rolling a 3?
Answer:
1/6
Step-by-step explanation:
On an unbiased die, the probability of rolling a 3 would be a 1/6 since there are 6 numbers and the chosen outcome is 1/6.
Answer:
3/36 (8.333%)
Step-by-step explanation:
On a two (6 sided) dice roll probability table is
3. 3/36 (8.333%)
4 6/36 (16.667%)
5 10/36 (27.778%)
6 15/36 (41.667%)
What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a cubic meter?
radius= 8 m
to find:the volume of the sphere
solution:[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]v = \frac{4}{3} \times \pi \times {8}^{3} [/tex]
[tex]v = 2144.66058 \: {m}^{3} [/tex]
[tex]v = 2144.7 \: {m}^{3} [/tex]
therefore, the volume of the given sphere is 2144.7 cubic meters.
[tex]\large\boxed{Formula: V= \frac{4}{3}\pi {r}^{3}}[/tex]
In this question the radius is given so we'll simply have to substitute the values and solve.
Let's solve!
Substitute the values according to the formula.
[tex]V= \frac{4}{3}\times\pi\times{8}^{3}[/tex]
Calculator value:
[tex]V= 2144.660585 \: {m}^{3}[/tex]
Now, we'll have to round off to the nearest tenth.
The value in hundredths place is greater than 5 so, we will have to round up which means, we'll have to add 1 to the tenths place.
Final answer:
[tex]\large\boxed{V= 2144.7 \: {m}^{3}}[/tex]
Hence, the volume of the given sphere is 2144.7 cubic meters.
Look at the following four expressions:
Expression A: (14647 + 2956) ÷ 6
Expression B: 6 x (14647 + 2956)
Expression C: (14647 + 2956) + 6
Expression D: (14647 + 2956) − 6
Which expression has the least value? (1 point)
Group of answer choices
Expression A
Expression B
Expression C
Expression D
Answer:
Expression D has the least value
Classify as acute, obtuse, or right.
6, 9, 12
Answer:
If the angles are 9 degrees 6 degrees and 12 degrees it is acute
Step-by-step explanation:
PLEAse help geometry
Answer:
A clockwise rotation of 90° about the origin
7-18 use part 1 of the fundamental theorem of calculus to find the derivative of the function.
14. [tex]h(x)=\int_{1}^{\sqrt{x}} \frac{z^{2}}{z^{4}+1} d z[/tex]
[tex]\displaystyle h(x)=\int\limits_{1}^{\sqrt{x}}~\cfrac{z^2}{z^4+1}dz~\hspace{10em}\cfrac{dh}{du}\cdot \stackrel{chain~rule}{\cfrac{du}{dx}\implies \cfrac{dh}{dx}} \\\\[-0.35em] ~\dotfill\\\\ u=\sqrt{x}\implies \cfrac{du}{dx}=\cfrac{1}{2\sqrt{x}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{dh}{dx}\implies \displaystyle \cfrac{d}{du}\left[ \int\limits_{1}^{u}~\cfrac{z^2}{z^4+1}dz \right]\cdot \cfrac{1}{2\sqrt{x}}\implies \left[ \cfrac{u^2}{u^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}} \\\\\\ \stackrel{substituting~back}{\left[ \cfrac{(\sqrt{x})^2}{(\sqrt{x})^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}}}\implies \cfrac{x}{x^2+1}\cdot \cfrac{1}{2\sqrt{x}}\implies \cfrac{\sqrt{x}}{2x^2+2}[/tex]
help pls
14 numbers are written in a row so that the sum of any three consecutive numbers is
19, and the sum of all the numbers is 77. Find the 9th number.
The series of numbers that meets the requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.
How to check that the series meets the requirements?To verify that the series meets the requirements, we must establish what the requirements are:
Every 3 consecutive numbers must add up to 19.In total there must be 14 numbers.The total sum of all the numbers must be 77.To verify that every 3 consecutive numbers add up to 19, we separate them into 4 groups of 3 and one number is left over.
5 + 6 + 8 = 199 + 4 + 6 = 197 + 3 + 9 = 192 + 8 + 9 = 19In total there must be 14 numbers and they must add up to 77.
5+6+8+9+4+6+7+3+9+2+8+9+1 = 77
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If x = -3 and y = -5, what does 3x - 2y equal???
Step-by-step explanation:
3x-2y
3*(-3)-2*(-5)
-9+10
1
3(-3) - 2(-5)
-9 + 10
1
i need it fast
Did you know that all 50 states in the United States have some sort of state fair? Fairs and carnivals include a variety of games of chance that aren’t typically “fair.” What does it mean for a game to be fair? In this task, you’ll analyze different scenarios to determine fairness. You will use probability and expected value to make these determinations. You will also use these concepts to make decisions.
As you complete the assignment, keep this question in mind:
How can probability be applied to decision making?
Answer:
If a game is "fair" it most likely means that there is a chance of winning a prize that corresponds with the price of playing the game.
Step-by-step explanation:
There is no one correct answer, but that is the premise of answering a question like that. you will need to elaborate further.
Answer:
There is no correct answer. but you could use-
The key role of probability is to improve decision-making in the face of uncertainties. It helps decision-making objective and data-driven rather than based on instinct.
Step-by-step explanation:
f(x)=2x-3 and g(x)=x^2+1, find g(f(x))
Answer:
f(x)=2x-3, substitute the expression for g(x) in f(x)
f(x) = 2(x^2 + 1) - 3
f(x) = 2x^2 + 2 - 3
f(x) = 2x^2 - 1
A farm has an area of 5 km²
The farmer must pay 1p tax for each m² of land he owns.
Find the amount of tax the farmer must pay.
Step-by-step explanation:
1 km² = 1km×1km = 1000m × 1000m = 1000000 m²
5 km² = 5000000 m²
so, he has to pay 5000000p as tax.
The amount of tax the farmer must pay is 50000 Rupees.
What is tax ?A compulsory contribution the government has levied on people's income is called the tax , It is of various types and the money accumulated from that is used for the development of the nation.
It is given that the farmer has an area of 5 km²
The farmer must pay 1p tax for each m² of land he owns.
5km² = 5 * (1000)² m²
Area = 5 *10⁶ m²
The amount of tax the farmer needs to pay is
= 1* 5* 10⁶
= 5000000 p
100p = 1 rupees
= 50000 Rupees
Therefore the amount of tax the farmer must pay is 50000 Rupees.
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Dalia has a jar with 6 red pencils and 4 green pencils. She will randomly pick two pencils without replacement. What is the probability that Dalia will pick two red pencils?
6/25
1/3
9/25
2/5
Im a bit confused on this type of probability so I would love an explanation so I can figure out the answer for myself
Answer:
1/3
Step-by-step explanation:
i have attached a tree diagram to help with your understanding, first branches show probability of picking either green or red the first time she picks one. The next set of branches show the updated probabilities after one pencil has been taken out.
Anna is 12, she is 5'3, 107 pounds, and her shoe size is 6 (girls, USA shoe size). however, she is trying to buy womens shoes and doesn't know which shoe size would fit her good. What size would fit her feet?
Answer:
Size 8
Step-by-step explanation:
A woman's size 8 in kids is a 6 or 6.5 youth shoe size.
Casper collected 108 old baseball cards. He then bought new baseball cards to increase his collection by 25%. How many new baseball cards did he buy?
Answer:
27
Step-by-step explanation:
what I did is used a calculator and did 108 x 0.25 (25% as a decimal)
HELPPP WITH MATH HOMEWORKKKK PLSSSS
Answer:
b, d, e
Step-by-step explanation:
Answer:
B, D, E
Read explanation... it always helps...
Step-by-step explanation:
alrighty, we know that anything positive multiplied by anything negative results in a negative number....
with that said.... b, d, and e are the only answer choices that result in a negative number that matches the expression -5/19
i hope this helps!!!
PLEASE HELP ILL MARK BRAINEST!! WHAT IS THE RISE, RUN, AND F(X).
Answer:
First question (on left) f(x) = 5x-3. second question (on right) f)x) = 1/2*x
Step-by-step explanation:
rise(left) 4. run (left) 20.
rise(right) 8. run(right) 4.
x -10° 3x 5x X 2х - 10=360
Answer:
30°
Step-by-step explanation:
x+3x+(x-10)°+5x+(2x-10)°=360°
=>4x+x-10°+5x+2x+10°=360°
=>12x=360°
=>x=360°/12
=>x=30°
What's the circumference of a circle with a diameter of 9 inches?
Use 3.14 for π.
C = [?] inches
Enter the number that belongs in the green box. Do not round your answer.
Hint: C = πd
Answer:
C = 28.26 in
Step-by-step explanation:
the circumference (C) is calculated as
C = πd ( d is the diameter ) , then
C = 3.14 × 9 = 28.26 in
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What's the circumference of a circle with a diameter of 9 inches?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We are asked to find the circumference of a circle, which we can find using the following formula:-
[tex]\bold{Circumference{(circle)}=\pi d}[/tex]
Where:-π=pi [3.14…]d=diameter (9 inches)How to solve for circumference:-
Replace d with 9 and multiply:-
[tex]\hookrightarrow\sf{C=3.14\times9}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\hookrightarrow\sf{C=28.26\:inches}[/tex]
Notice that we are not asked to round our answer, so we leave it like that - C=28.26.
Good luck with your studies.
[tex]\rule{200}{2}[/tex]
