Answer:
3.14
Step-by-step explanation:
The required area of the circle is given as 3.14 square units, as of the circumference of 6.28 units.
What is an area circle?The area of a circle is given by the pie times square of the radius.
Area of circle = πr²
Here,
circumference of a circle is 6.28 units.
circumference = 6.28
2 × π × r = 6.28
r = 1
Now,
Area of the circle = πr²
Area of the circle = 3.14 × 1²
Area of the circle = 1 square unit
The required area of the circle is given as 3.14 square units, as of the circumference of 6.28 units.
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a rectangle has a width that is 7 centimeters less than its length, and it’s area is 330 square centimeters. what are the dimensions of the rectangle?
Answer:
The dimensions of the rectangle are 22cm of length and 15cm of width
Step-by-step explanation:
To solve this we first have to know the formula to calculate the area of a rectangle
a = area = 330 cm²
L = length =
w = width = L - 7cm
a = l * w
we replace with the known values
330 cm² = L * (l - 7cm)
330 cm² = L² - 7Lcm
0 = L² - 7Lcm - 330 cm²
when we have an equation like this we can use bhaskara
a = 1
b = -7Lcm
c = -330cm²
ax² + bx + c = 0
x = -b(±)√(b² - 4ac)/2a
we replace with the known values
L = -(-7cm)(±)√(7² - 4(1)(-330cm²)) / 2(1)
L = 7cm(±)√(49 + 1320cm²)) / 2
L = 7cm(±)√(1369cm²)) / 2
L1 = (7cm + 37cm) / 2
L1 = 44cm / 2 = 22cm
L2 = (7cm - 37cm) / 2
L2 = -30cm / 2 = -15cm
The positive represents the unknown with which we work (L) and the negative with which we do not work (W)
The dimensions of the rectangle are 22cm of length and 15cm of width
Sophie has to choose seven different positive (non zero) whole numbers whose mean is 7.
What is the largest possible number that she could choose as one of the seven numbers?
The largest possible number that she could choose as one of the seven numbers is _ _ because
Answer:
The largest possible number is 28.
Step-by-step explanation:
Sophie has to choose seven different numbers whose mean is 7, this means that the sum of the numbers is 49. (since the mean is the sum of them all divided by 7 and if we want the mean to be 7, then the sum would need to be 49).
We are asked what is the largest possible number she could choose, so therefore, the other six numbers should be non-zero and the smallest ones so she would have to choose the numbers from 1 to 6 first.
Let's see how much they sum up: [tex]1+2+3+4+5+6=21[/tex]
So now, she needs one more number to sum up to 21 and that will give her 49 in total, this number is 28 (since 28 + 21 =49).
Thus, 28 is the largest number she could choose because if she chose any other greater number the mean would be bigger than 49.
please help! i do not understand !
Answer:
C
Step-by-step explanation:
Know that two angles added equals 180
Solve for x, 17x > -17
Answer:
x = -1
Step-by-step explanation:
17x > -17, Divide both sides by 17
17x / 17 > -17 / 17
x > -1
The components of a position vector of a particle moving in the plane are [tex](t^3, 2sin(t))[/tex]
What is the distance traveled by the particle from t = 1 to t = π?
Answer:
30.113
Step-by-step explanation:
r(t) = (t³, 2 sin t)
The distance traveled is the length of the path (arc length):
L = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt
L = ∫₁ᵖⁱ √((3t²)² + (2 cos t)²) dt
L = ∫₁ᵖⁱ √(9t⁴ + 4 cos²t) dt
Using a calculator:
L ≈ 30.113
Notice that distance is not the same as displacement. If we wanted to find the displacement:
r(π) = (π³, 0)
r(1) = (1, 2 sin 1)
Δr = √((π³ − 1)² + (0 − 2 sin 1)²)
Δr ≈ 30.053
Select ALL the correct answers.
Consider the following quadratic equation.
y=x²-8x+4
Which of the following statements about the equation are true?
When y = 0, the solutions of the equation are x=8±2√2.
The extreme value of the graph is at (8,-4).
When y = 0, the solutions of the equation are x=4±2√3.
The extreme value of the graph is at (4,-12).
The graph of the equation has a minimum.
The graph of the equation has a maximum.
Answer:
Statements 3, 4 and 5 are true.
Step-by-step explanation:
x^2 - 8x + 4
Using the quadratic formula:
x = [ -(-8) +/- √((-8)^2 - 4*1*4)] / 2
= (8 +/- √(64 - 16)) / 2
= 4 +/- √48 / 2
= 4 +/- 4√3/2
= 4 +/- 2√3.
So the third statement is true.
Converting to vertex form:
x^2 - 8x + 4
= (x - 4)^2 - 16 + 4
= (x - 4)^2 -12
So the extreme value is at (4, -12)
So the fourth statement is true.
The coefficient of the term in x^2 is 1 (positive) so the graph has a minimum.
A submarine travels 19 miles in 1/2 hour. Write an equation to find out how long it would take the submarine to travel 57 miles at the same rate. Then find the time.
Answer:
1.5 hours
Step-by-step explanation:
We can write a ratio to solve
19 miles 57 miles
-------------- = --------------
.5 hours x hours
Using cross products
19x = 57*.5
19x =28.5
Divide each side by 19
19x/19 = 28.5/19
x =1.5
1.5 hours
I put the wrong answer don’t mind me
The volume of a cylinder is 40 Feet cubed. Which expression represents the volume of a cone with the same base and height as the cylinder?
Answer:
40/3 feet³
Step-by-step explanation:
Volume of cylinder = 3 × volume of cone with same base and height
40 = 3 × Volume of cone
Volume of cone = 40/3 feet³
Answer:
I think da answer is C on edge
Step-by-step explanation:
John weighs 1.5 times as much as Ellen. If John weighs 144 pounds how much does Ellen weigh?
Answer:
Ellen weighs 96 lbs
Step-by-step explanation:
Look at the attachment
Answer:
It could be wrong but i got 96lbs
Step-by-step explanation:
144 divided by 1.5
√175 Simplify.Remove all perfect squares from inside the square root.
Answer:
13.22875655532295...
Step-by-step explanation:
not a perfect square so... yea
brainliest pls
Answer:
[tex]5\sqrt{7}[/tex]
Step-by-step explanation:
[tex]\sqrt{175}=\sqrt{7\cdot 25}=\sqrt{7}\cdot \sqrt{25}=\sqrt{7} \cdot 5=5\sqrt{7}[/tex]. Hope this helps!
6th GRADE MATH:
The length of a park is 250 meters. What’s the park in kilometers?
Answer:
.25 kilometers
Step-by-step explanation:
Divide the length value by 1000 when going from meters to kilometers
15 POINTS! will be selecting Brainliest!
How do I do this? Please give step-by-step answers + "work"- will be selecting Brainliest!
Find the surface area of a right cone that has a diameter of 11.2 feet and a height of 9.2 feet. Round your answer to the nearest hundredth.
Answer:
S=288ft^2
Step-by-step explanation:
d=11.2ft, h=9.2ft
r=d/2=11.2/2=5.6
e=√r^2+h^2=√5.6^2+9.2^2
e=10.77ft
s=πr^2+πre
s=π(5.6)^2+π(5.6) (10.77)
s=91.67π
s≈288ft^2
If the slant height of the cone is 10.77 feet and the radius of the base circle is 5.6 feet. Then the surface area of the cone is 189.48 square feet.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The height of the cone is 9.2 feet and the diameter is 11.2 feet. Then the radius will be
r = d/2
r = 11.2/2
r = 5.6
Then the slant height of the cone will be
[tex]l = \sqrt{5.6^2 + 9.2}\\\\l = 10.77 \ \rm ft[/tex]
Then the surface area of the cone will be
[tex]\rm Surface \ area = \pi rl\\\\Surface \ area = \pi \times 5.6 \times 10.77\\\\Surface \ area = 189.48 \ ft^2[/tex]
More about the geometry link is given below.
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The algebraic expression below is a polynomial.
(x-1^k)
where k is a real number.
Please select the best answer from the choices provided
T
F
Answer:
T
Step-by-step explanation:
Just did it
help please, give me the best possible answer you guys got
:)
Answer:
(i) (4, 0)
(ii) -2
Step-by-step explanation:
y = 4 + 3x - x^2
(i)
At point A, y = 0
4 + 3x - x^2 = 0
x^2 - 3x - 4 = 0
(x - 4)(x + 1) = 0
x - 4 = 0 or x + 1 = 0
x = 4 or x = -1
The x-coordinate of point A is positive, so it is 4.
The coordinates of point A are (4, 0).
(ii)
y = mx + 8
We know point (4, 0) is on the line, so we substitute 4 for x and 0 for y and solve for m in the slope equation.
0 = m(4) + 8
4m = -8
m = -2
A triangular pyramid has an equilateral triangle for the base with a base of 3m and a height of 2m. The height of the pyramid is 18 meters. The slant height is 3.5 m. What is the lateral area of the pyramid?
A.15.75 meters
B.162 meters
C.81 meters
D.31.5 meters
Answer:
B
Step-by-step explanation:
I did the problem beforeeeeeeeeeeeeeeeeeeeeeeeeeee
Can someone please help me with this?
Answer:
Step-by-step explanation:
find the proportion and solve for the volume.
CAN SOMEONE PLEASE HELP ME
Find the sine of angle R. Reduce the answer to the lowest terms.
Find the cosine of angle R. Reduce the answer to the lowest terms.
Find the tangent of angle R. Reduce the answer to the lowest terms.
Find the sine of angle S. Reduce the answer to the lowest terms.
Find the cosine of angle S. Reduce the answer to the lowest terms.
Find the tangent of angle S. Reduce the answer to the lowest terms.
Answer:
Since sine is equal to opposite over hypotenuse, you would create the fraction 8/10. 8 and 10 are both divisible by 2, so that fraction would reduce to 4/5, which is the answer.
Step-by-step explanation:
hey can yall make me brainlyiest
Answer:
4/5 sine
Step-by-step explanation:
PLZ HELP MATH!
ASAP MANY POINTS REWARDED!
Answer:
Isosceles
Step-by-step explanation:
Two sides are equal to each other and not the same length as the other side, so it'd be an isosceles triangle.
Katie has a cube with an edge length of
3 inches. Malea has a cube whose volume is 8
times greater than the volume of Katie's cube.
What is the length of Malea's cube?
Answer:
3 x 8 = ____16____
Step-by-step explanation:
8+8+8= 16 or 3+3+3+3+3+3+3+3= 16
Hope this helps :)
Answer:
3 x 8 = ____16____
Step-by-step explanation:
8+8+8= 16 or 3+3+3+3+3+3+3+3= 16
Step-by-step explanation:
If P(A) = 0.25, P(B) = 0.60 and P(A and B) = 0.15, are the event A and B independent? Explain/show work.
Answer:
yes, event A and B independent
Step-by-step explanation:
given data
P(A) = 0.25
P(B) = 0.60
P(A and B) = 0.15
solution
we know here P(A and B) = 0.15
so we know here for independent
P(A and B) is = P(A) × P(B) .......................1
so we take here R.H.S here in equation 1 and put here value
P(A) × P(B)
P(A) × P(B) = 0.25 × 0.60
P(A) × P(B) = 0.15
so it is equal to L.H.S = R.H.S
so, we can say that A and B are independent
Is the percent increase for 50 to 70 = to the percent decrease from 70 to 50
Answer:
no it is not equal.
Step-by-step explanation:
when you calculate the percentages, you will find that the increase has 40% while the decrease has about 28.6%
Answer:
No. The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.
Step-by-step explanation:
SAMPLE RESOND
1. What Asian country's flag has the MOST colors? *
India
Thailand
Japan
China
2 Which Asian cu
Answer:
Thailand answered the question already
A small bag of pretzels costs $0.99 and contains 4 ounces. A large bag of pretzels costs $2.99 and contains 15 ounces. Which is the better buy?
Answer:
$2.99 is the better buy
Step-by-step explanation:
First, find the unit price for each bag of pretzels. This can be found by the formula: (cost/amount). in this case it is (cost/ ounce)
This means:
0.99 bag for 4 ounces means about 25 cents per oz
2.99 bag for 15 oz means about 20 cents per oz
The lower the unit price, the better the buy.
Each ounce is cheaper with the 2.99 bag, therefore it is the better choice.
Which is the same as diving a number by 10?
Answer:
Step-by-step explanation:
well i guess if the decimal is on the left you would move it to the right twice
because if you only moved it once it'd become 1.0
and if you moved it to the left once it would also become 1.0
and if you moved it twice to the left you would be left with .10
pls mark me brainliest
work out
3/17 x 17/21
write the answer in its lowest form
3 × 17 over 17 × 21 with the first as numerator and second one as denominator
We can see that both the 17 can nullify so we are left with ³/21 and simplify to get ¹/7
The expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]
From the question,
We are to evaluate 3/17 x 17/21
First, we will write the expression properly
The expression can be written as
[tex]\frac{3}{17} \times \frac{17}{21}[/tex]
The expression can be evaluated as shown below
[tex]\frac{3}{17} \times \frac{17}{21}[/tex] becomes
[tex]\frac{3 \times 17}{17 \times 21}[/tex]
Simplifying, we get
[tex]\frac{3}{21}[/tex]
Further simplification gives
[tex]\frac{1}{7}[/tex]
Hence, the expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]
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What is the value of z?
A.95
B.126
C.77
D.154
Answer:
B. 126
Step-by-step explanation:
85*2=170
170+64+x=360
234+x=360
x=126
what is the volume of this hemisphere? Exact answer in terms of π the radius is 48 m options 1) 9,216 π cubic meters 2) 18,432 π cubic meters 3) 28,938 π cubic meters 4) 57,876 π cubic meters
Answer:
Volume, [tex]V=73728\pi \ m^3[/tex]
Step-by-step explanation:
The formula for the volume of hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3[/tex]
r is radius of hemisphere, r = 48 m
[tex]V=\dfrac{2}{3}\pi\times (48)^3\\\\V=73728\pi \ m^3[/tex]
So, the volume of hemisphere is [tex]73728\pi \ m^3[/tex].
if suresh made a deposit of AED 2700 on the first day of the tear and same amount again after every 4 months at the end of the year how much money will he get if the interest is compounded quarterly and the rate of interest is 7.5% per annum
Answer:
48.048
Step-by-step explanation:
multiply 77 time 0.60 since 60%in decimal form is 0.60. you then get the answer of that(46.2) and mutiply 0.04 since that the decimal form for 4%. you get 1.848 and add it to 46.2 and get the final answer 48.048. Hope this helped you
A cylinder has a base diameter of 14m and a height of 10m. What is its volume in cubic m, to the nearest tenths place?
Answer:
1539.4 m³
Step-by-step explanation:
The volume of a cylinder is given by the formula ...
V = πr²h . . . . . where r is half the diameter and h is the height
__
Filling in the given values, we find the volume to be ...
V = π(7 m)²(10 m) = 490π m² ≈ 1539.4 m³
The volume is about 1539.4 m³.
