Answers
Answer:
A = 616 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi (14)^2
A = pi (196)
Using 3.14 as an approximation for pi
A = 3.14 *196
A =615.44
The nearest approximation is
A = 616 cm^2
Answer:
D 616 cm^2
Step-by-step explanation:
Area = pi r^2
= 14^2 * 3.142
= 615.832
Related Questions
In order to make a profit, a retailer will mark up the cost of an item. If the cost of the item is $42 but it is sold for
$89, what is the mark up rate for the item?
Round your answer to the whole percent.
Answers
If x^2-ax+b and x^2-cx+d both have a factor x-m prove that m=d-b/c-a
Answers
Answer:
see explanation
Step-by-step explanation:
Given (x - m) is a factor of both then x = m make both expressions equal to zero.
m² - am + b = 0
m² - cm + d = 0
Then
m² - am + b = m² - cm + d ( subtract m² - cm from both sides )
cm - am + b = d ( subtract b from both sides )
cm - am = d - b ← factor out m from each term on the left side
m(c - a) = d - b ← divide both sides by (c - a)
m = [tex]\frac{d-b}{c-a}[/tex] ← as required
can i get some help solving this
Answers
Answer:
A =147 cm^2
Step-by-step explanation:
A = pi r^2
The radius is 7 and let pi = 3
A = 3*7^2
A = 3*49
A =147
At the performance of Seussical the Musical at your local high school, there are adult tickets and
student/child tickets. You're trying to remember the cost of each to tell your extended family to come see the
musical. Your friend, her mom, and her little sister paid a total of $23 on opening night, and you know that
another family paid $39 for two adults and three students. If 2 is cost of adult tickets and y is cost of student tickets, the two equations for these situations can be written as:
Answers
Answer:
The correct answer is -
x+2y = 23
2x+3y= 39
Step-by-step explanation:
given:
cost of family 1 = 23
number of adults in family one = 1
number of children = 2
cost of family 2 = 39
number of adults in family 1 = 2
number of children = 3
solution:
for the first condition of family one-
In this case, there is only one adult and 2 children and they paid 23 then if the adult cost is x and the children ticket cost is y then
number of adults*x+number of children*y = total cost
1*x + 2*y = 23
x+2y= 23 .......equation 1.
for family two:
In this case, there is two adult and 3 children and they paid 39 then if the adult cost is x and the children ticket cost is y then
number of adults*x+number of children*y = total cost
2*x + 3*y = 39
= 2x+3y = 39....... equation 2
thus, the correct equations are:
x+2y = 23
2x+3y= 39
Convertir 675 Faren a Kelvin (Con ecuaciones porfavor)
Answers
Answer:
(675°F − 32) × 5/9 + 273.15 = 630.372K
Hope it's right if not so sorry :)
Someone help me with this question please it would help me a lot !!!
Answers
Answer:
x intercept ( -40,0)
y intercept ( 0,15)
Step-by-step explanation:
The x intercept is where it crosses the x axis. The y value is zero
(-40,0)
The y intercept is where it crosses the y axis. The x value is zero
(0,15)
Hi everyone, I’m currently trying to dive into some lessons before school starts and I’m taking algebra 2 this year and the lessons that I am currently studying about is imaginary numbers. I had a few questions so if anyone could help me out that’d be great! Starting off, while watching the video, the guy explaining says that j^4 = 1 because it is like j times j^3 and I’m just confused because I don’t understand where they got the 1 from…
Answers
5/√2+9/√8-2√50+√32 rationalise the denominator and simplify
Answers
The simplification of the expression is [tex]\frac{15\sqrt{2} }{4}[/tex]
How to rationalize the denominatorFirst, find the factors of the number that ahs square root
Given,
= [tex]\frac{5}{\sqrt{2} } + \frac{9}{\sqrt{6} } - \frac{2}{\sqrt{50} } + \sqrt{32}[/tex]
Multiply the numerators by the surd of the denominators
= [tex]\frac{5 *\sqrt{2} }{\sqrt{2}*\sqrt{2 } } + \frac{9 *\sqrt{8} }{\sqrt{8}* \sqrt{8} } - \frac{2 *\sqrt{50} }{\sqrt{50 * \sqrt{50} } } + \sqrt{32}[/tex]
Multiply through and find their square root
= [tex]\frac{5\sqrt{2} }{2} + \frac{18\sqrt{2} }{8 } - \frac{10\sqrt{2} }{50} + 16\sqrt{2}[/tex]
To simply, we have
= [tex]\frac{5\sqrt{2} }{2}+ \frac{9\sqrt{2} }{4} + \frac{1\sqrt{2} }{5} + 16\sqrt{2}[/tex]
Find the LCM
= [tex]\frac{10\sqrt{2} + 45\sqrt{2}+ 4\sqrt{2} + 16\sqrt{2} }{20}[/tex]
Add through
= [tex]\frac{75\sqrt{2} }{20}[/tex]
= [tex]\frac{15\sqrt{2} }{4}[/tex]
Thus, the simplification of the expression is [tex]\frac{15\sqrt{2} }{4}[/tex]
Learn more about surds here:
https://brainly.in/question/4594146
#SPJ1
Luke is swimming in still water at a constant speed of 3 meters/second.
If you graph this relationship with time along the x-axis and distance along the y-axis, the slope of the line representing this relationship is
.
A point on this line that corresponds to the distance Luke swam in 45 seconds is
Answers
Answer:
1. velocity
Step-by-step explanation:
that is the answer above
Find the missing segment
Answers
Step by step explanation: 14/x=7/2 which gets you 7x/28, you divide both sides by 7 to get that x=4
HELP ASAP ILL GIVE BRAINLIST
t/f Elimination will give you an exact answer to a system of equations.
t/f If substituting the test point produces a false solution, we shade on the opposite side of the line.
Answers
Answer:
TRUE Elimination will give you an exact answer to a system of equations.
FALSE If substituting the test point produces a false solution, we shade on the opposite side of the line.
b) The price of a radio is marked as Rs 7,500. If the shopkeeper allows 20 % discount and adds 13 % VAT, how much will a customer pay for the radio?
Answers
Answer:
the customer should pay Rs.6780 including VAT.
Step-by-step explanation:
here,
Marked price(MP)=7500
Discount(D)=20%
VAT=13%
now,
selling price(SP)=MP-D%of MP
=7500-20×7500/100
= 7500-1500
= Rs 6000
again,
SP with VAT = SP +VAT of SP
= 6000+13×6000/100
=6000+780
=Rs.6780
hence,
the customer should pay Rs. 6780 including VAT.
Consider the formula for the slope between two coordinate points, m, shown below.
Answers
Answer:
D
Step-by-step explanation:
m= (y2-y1)/(x2-x1)
m(x2-x1)= y2-y1
y2= m(x2-x1) + y1
which choice is equivalent to the expression below? 7x√2 - 4√2 + x√2
A. 6x√2 - 3√2
B. 5x^2√2
C. 3x√2
D. 8x√2 - 4√2
Answers
Answer:
D
Step-by-step explanation:
[tex]8x \sqrt{2} - 4 \sqrt{2} [/tex]
factories 2x^3+ 7x^2+ 7x +2 emergency pls
Answers
hope it helps you...............
Answer:
the answer is (x+1)(x+2)(2x+1)
Câu 1: Cho tam giác MNP cân tại P thì:
A. MN = MP B. PM = NP C. PN = PN D. Không có cạnh nào bằng nhau.
Answers
Answer:
B. PM = NP
Step-by-step explanation:
One pipe can fill a pool in 6 hours. The second pipe can drain the pool in 18 hours. How long will it take to fill the pool if both pipes are working?
Answers
one pipe 6 hours fill
two pipe 6 ÷2= 3 hours
Answer:
x=9
Step-by-step explanation:
Daniel buys a new car.
In the first year, the value of the car decreases by 12% of its original value.
The value of the car at the end of the first year is £9680.
(a) Work out the original value of the car.
The value of the car at the end of the first year is £9680.
In each of the second year, the third year, fourth year and the fifth year, the value of the car decreases by
x% of its value at the beginning of each year.
The value of the car at the end of the fifth year is £5000.
(b) Work out the value of x.
Give your answer correct to 3 significant figures.
Answers
Answer:
Step-by-step explanation:
Value of the car at the end of the first year = £9680
Depreciation = 12 %
Original price = £ x
If we reduce 12% of original price from x, we will get £9680
x - 12% of x = £ 9680
[tex]x-\frac{12}{100}x=9680\\\\\\\frac{88}{100}x=9680\\\\x=9680*\frac{100}{88}\\\\x = 11000[/tex]
Original price = £ 11000
The city park is 9 and 2/5 km from Roland Public School. The city library is 3 and 3/10 km from the same school. How much farther from the school is the park than the library? PLS HELP
Answers
Answer:
6 1/10
Step-by-step explanation:
Convert the mixed numbers into improper fractions (denominator × whole number + numerator / denominator):
9 2/5 = 47/5
3 3/10 = 33/10
Convert improper fractions to have the same denominator:
47/5 × 2/2 = 94/10
Find the difference by subtracting the numerators:
94/10 - 33/10 = 61/10
Convert the answer into a mixed number:
61/10 = 6 1/10
Someone, please help
Timothy has 72 coins, consisting of quarters, dimes, nickels, and 8 pennies. Samantha comes and takes all of his quarters, takes 3 of his dimes, takes 2 of his nickels, and leaves him with one penny, leaving him with 45 coins. What is the value of quarters that Samantha took?
Answers
72 - 45 = 27
Samantha took 27 coins. She took 3 dimes, 2 nickels and all but 1 penny, so 7 pennies. This is 12 coins. The rest must be quarters. 27 - 12 = 15 quarters.
15 x 0.25 = 5.25
The value of the quarters that Samantha took is $3.75.
Hope this helps!
Bài 2: Cho ∆ABC có AB AC = , M là trung điểm của BC . Trên tia đối của tia MA lấy điểm D sao cho MA = MD .
a) Chứng minh : ∆ ABM =∆ DCM .
b) AB // DC
c) AM ⊥ MC
d) Tìm điều kiện ∆ABC để góc ADC =30 °
Answers
Find the total surface area.
Answer Options:
A. 422 in²
B. 517 in²
C. 554 in²
D. 638 in²
Answers
Answer:
D. 638 in^2
Step-by-step explanation:
total surface area is just the sum of areas of each side of the cube
opposite sides have the same area
top and bottom = 9*11
sides = 11*9
front and back = 11*11
SA = 2(9*11 + 11*9 + 11*11)
SA = 2(99 + 99 + 121)
SA = 2(319)
SA = 638 in^2
three forth of a number excceed its one third by 15, find the number
Answers
The required value of x is 36
Step-by-step explanation :
Let the required number be x.
Three fourth of number = (3/4)x
One third of number = (1/3) x
According to the question ;
3x/4 = x/3 + 15
→ 3x/4-x/3 = 15
→ 9x - 4x / 12 = 15
→ 5x = 15 x 12
⇒ x = 180 / 5
⇒ x = 36
Hope this answer helps you..!!!A candidate for one of Ohio's two U.S. Senate seats wishes to compare her support among registered voters in the northern half of the state with her support among registered voters in the southern half of the state. A random sample of 2000 registered voters in the northern half of the state is selected, of which 1062 support the candidate. Additionally, a random sample of 2000 registered voters in the southern half of the state is selected, of which 900 support the candidate. A 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is:
Answers
Answer:
The 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is (0.05, 0.112).
Step-by-step explanation:
Before building the confidence interval, the central limit theorem and subtraction of normal variables is explained.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Northern half:
1062 out of 2000, so:
[tex]p_N = \frac{1062}{2000} = 0.531[/tex]
[tex]s_N = \sqrt{\frac{0.531*0.469}{2000}} = 0.0112[/tex]
Southern half:
900 out of 2000, so:
[tex]p_S = \frac{900}{2000} = 0.45[/tex]
[tex]s_S = \sqrt{\frac{0.45*0.55}{2000}} = 0.0111[/tex]
Distribution of the difference:
[tex]p = p_N - p_S = 0.531 - 0.45 = 0.081[/tex]
[tex]s = \sqrt{s_N^2 + s_S^2} = \sqrt{0.0112^2 + 0.0111^2} = 0.0158[/tex]
Confidence interval:
The confidence interval is:
[tex]p \pm zs[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower bound of the interval is:
[tex]p - zs = 0.081 - 1.96*0.0158 = 0.05[/tex]
The upper bound of the interval is:
[tex]p + zs = 0.081 + 1.96*0.0158 = 0.112[/tex]
The 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is (0.05, 0.112).
A recipe requires 500 mL of milk. You will make the recipe once a month for the next 4 months. You do not use milk other than for cooking. Which container of milk should you buy? (1L=1000 mL) *
Answers
Answer: 1 month = 500ml
4 month = 500ml × 4 = 2000ml = 2L
you should use the 2L container
Step-by-step explanation:
Find the measure of a.
Answers
Answer:
a is 44 degree
Step-by-step explanation:
Can someone please help me out Its really Important please marking brainliest
Answers
Answer:
Q1. Volume of the prism
= 75(20)(14) cm3
=21000 cm3
Volume of the cylinder
= π(75^2)(120)cm3
=2120575cm3 (cor. to nearest int.)
The cylindrical bale has a greater volume.
Q3a. Volume of the pyramid
=(1/3)(40)(64)(64)m3
=54613 m3 (cor. to nearest int.)
Q3b. Volume of air per person
=(1/3)(40)(64)(64)(1/5000) m3
=10.9 m3 (cor to 3 sig fig)
(2x+1)(x-1)=0
2x-10=5+3x
Answers
Step-by-step explanation:
2x-3x=5+10
-x=15
X=-15
2x+1=0.... 1
X-1=0
X=1......2
Substitute the value of x in equation 1
2*1+1=0
2=1
So the value of x is 1 and 2
Answer:
x=-1/2
x=1
x=-15
Step-by-step explanation:
A jar contains 5 blue marbles, 2 black marbles, and 7 brown marbles.
Answers
Answer:
5/13
five blue marbles, but one blue removed thus 5/13
Step-by-step explanation:
Answer:
C 5/13
Step-by-step explanation:
Which numbers are integers? Check all that apply.
4
Negative 1 and one-third
-10
2.5
-4
0.ModifyingAbove 13 with Bar
Answers
Answer:
4,-10.-4
Step-by-step explanation:
intergers are whole numbers
Answer:
4
-10
-4
Step-by-step explanation:
got it right on edge
