A group of students formed a circle during a game. The circumference of the circle was about 50.24 feet, and the diameter of the circle was 16 feet. The required expression for value of π is: 3.14
What is diameter of circle?A circle is a form made up of all points on a plane that are at a specific distance from the centre point. In other words, it is the path a moving point in a plane takes to travel around a curve while maintaining a constant distance from another point.
Given that,
The circumference of the circle was about 50.24 feet,
And the diameter of the circle was 16 feet
We have to determine,
Which expression best represents the value of π.
According to the question,
Circumference of the circle = 50.24 feet
Diameter f the circle = 16 feet
Then,
Circumference of the circle = π × d
Circumference of the circle = 50.24 feet
Therefore,
50.24 = π × d
or. π × 16 = 50.24
or, π = 3.14
Hence, The required expression for value of π is: 3.14
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Part E
Using the dimensions from part D, find the area of each simple shape. Do this for all your decompositions (sets of shapes).
Answer:
What type of question is this
Answer:
The area of a rectangle is given by A = l × w, where l is the length and w is the width.
The length (l) and width (w) of the small rectangle are 14 feet and 6 feet, respectively, so the area of the small rectangle (As) is:
AS = 14 ft. × 6 ft.
= 84 sq. ft.
The length (l) and width (w) of the large rectangle are 20 feet and 7 feet, respectively, so the area of the large rectangle (Al) is:
Al = 20 ft. × 7 ft.
= 140 sq. ft.
The area of a triangle is given by , where b is the base and h is the height of the triangle.
The base and height of the triangle both measure 6 feet, so the area of the triangle (At) is:
ft. ft.
sq. ft.
sq. ft.
Step-by-step explanation:
Calculate the area of the trapezoid. Use paper to show your work. The figure is not drawn to scale.
12 cm
12 cm
21 cm
The area of the trapezoid is how many cm?
The area of a trapezium with the given dimensions is: 198 cm²
What is the Area of a Trapezium?Area of a trapezium = 1/2(a + b)h, where h is the heght of the trapezium and a and b are the length of its bases.
Given the following:
a = 12 cmb = 21 cmh = 12 cmArea of a trapezium = 1/2(12 + 21)12
Area of a trapezium = 198 cm²
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Tamora just made the last of her monthly payments on her loan. she had been making these payments for the past nine years. the loan had a principal of $10,675 and an interest rate of 4.75%, compounded monthly. in addition, tamora paid $939.25 in service charges. what was tamora’s total finance charge? round all dollar values to the nearest cent. a. $939.25 b. $11,614.25 c. $3,403.53 d. $2,464.28 please select the best answer from the choices provided a b c d
Tamora’s total finance charge was $3,403.53 if Tamora paid in addition of $939.25 in service charges option (c) is correct.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We have:
Principal amount(Loan principal) = $10,675
Interest rate = 4.75 %
Monthly rate = 4.75/12% ⇒0.39583% ⇒ 0.00395
Additional amount she paid in service charge = $939.25
Number of months = 9×12 = 108 months
We can find the total finance charge as follows:
Finance charge = Total amount repaid +service charge - Loan principal
The formula for the monthly payment of the loan is given by:
[tex]\rm Monthly \ payment = \frac{Loan \ principal }{\frac{(1-(1+r)^-^n)}{r} }[/tex]
[tex]\rm Monthly \ payment = \frac{10675}{\frac{(1-(1+0.00395)^-^{108})}{0.00395} }[/tex]
After calculating, we get:
Monthly payment = $121.66
For 108 months, Tamora paid:
= 121.66×108
= $13,139.23
The finance charge will be:
= $13,139.23+$939.25-$10,675
= $3,403.53
Thus, Tamora’s total finance charge was $3,403.53 if Tamora paid in addition of $939.25 in service charges option (c) is correct.
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What is the value of the one in 45.12
Answer:
Step-by-step explanation:
1 is in the tenth place
[tex]\sf 1's \ value = \dfrac{1}{10}[/tex]
Are { 13 x (25+ 15) } and { (13x25) + (13x25) } equal?
how many solutions do the following systems have
{0.5x-3/4y=7
:5.6-2/5x=-0.6y
Answer:
Step-by-step explanation:
I think the answer is 0-1, but i will have to see the answers to determine.
Hope it helps!
HELP ME PLEASE
My last question
Answer: 32c-1 is one of them
Step-by-step explanation:
I need help please!!!
Answer:
Step-by-step explanation:
solve this problem correctly, and you will be my bff for life
The graph shown is the second derivative
⇒ first derivative equals the area between
- the second derivative function from 0 to 2
- the axis
Thus the first derivative f(2) equals [tex]8 + c[/tex]
c: represents the initial positionHowever there is an inital position for the first derivative ⇒ f(0) = 2.5
Therefore we must add the initial position to the first derivative found
f(2) = 8 + 2.5 = 10.5
Hope that helps!
how can i write this in a calculator?
Answer:
2.13
Step-by-step explanation:
cos 62⁰=10/x=0.47
x=10/0.47≈2.13
Please help!!!
Let f be the function given by f(x) = x2.
Write an equation for the function g whose graph is the graph of f translated 3 units left and up 5 units.
Answer:
If it is x squrared the answer would be (x+3)²+5. If it is 2 times x then it would be (2x+3)+5
Step-by-step explanation:
Angle K in △MKL is a right angle.
By using Pythagoras theorem.
h²=p²+b²ML²=15²+8²ML²=225+64ML=√289Therefore ML= 17...
Step-by-step explanation:
Hope it helps....Mark me brilliant
Which value of b will cause the quadratic equation x2 bx 5 = 0 to have two real number solutions? –5 –3 3 4
The value of b for the quadratic equation x2 bx 5 = 0 to have two real number solutions is -5.
When a quadratic equation has two real number solutions?The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
The quadratic equation has two real number solutions when the value of the following equation is positive.
[tex]b^2-4ac[/tex]
The quadratic equation given in the problem is,
[tex]x^2 +bx+ 5 = 0[/tex]
The value of b has to be found out such that the equation have two real number solutions. For this equation,
[tex]a=1\\c=5[/tex]
Put this value in the above equation as,
[tex]b^2-4\times1\times5\\b^2-20[/tex]
The value of the above expression to be positive, the value of b should be at least 5 or -5.
[tex](-5)^2-20\\25-20\\5[/tex]
Thus, the value of b for the quadratic equation x2 bx 5 = 0 to have two real number solutions is -5.
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Answer:
Which value of [tex]b[/tex] will cause the quadratic equation [tex]x^2 + bx + 5 = 0[/tex] to have two real number solutions?
✔ A) -5
B) -3
C) 3
D) 4
There one Thing That would got to 0 so it A) -5
Have a Nice Day .
7,14,21,28,35, __
Which sentence about the missing number in the Pattern is true?
The missing number ends with a 5.
The missing number is a Multiple of 10.
The missing number is a odd number.
The missing number is a even number.
Answer:
the patters is that they are multiple of 7.. so next number is 42.
which means option D The missing number is even is correct..
Answer number 1 please thank you
Answer:
$52.5
Step-by-step explanation:
Since 25% is the sale, we subtract 100% (the whole) by the discount, 25%. That leads us to say that we are paying for 75% of the product's price.
We multiply $70 by 0.75 and you get $52.5!
Please mark brainiest if this helped you!
A parallelogram originally has an area of 47 square inches. Find its new area if its base
is one-fourth times as long and its height is twice as long.
PLS HELP ME!! WILL GIVE LOTS OF POINTS AND GIVE BRAINLIEST!
Answer:
23.5
Step-by-step explanation:
So this is a parallelogram so the area formlula is b*h=47? That's a no go. It is saying that if the base is 1/4th and the height is increasing by 2 so basically 1/4b*2h=1/2bh bh so it will be represented as 47 so 1/2*47=23.5
Can someone help me with this problem? It’s rlly hard
Answer:
4(5+8)
Step-by-step explanation:
The GCF of 20 and 32 is 4. Then you divide 20 and 34 by 4.
Find the area (please hurry if you are answering, due soon)
Area of the figure is 171 cm²
See the attachment......
Area of triangle:-
1/2(12)(19)6(19)114cm²Area of square:-
7²49cm²Area of rectangle:
5(3)15cm²Total:-
15+49+114178cm²15. If a=3 and b= -2, find the values of:
(i) a^a + b^b
ii) a^b + b^a
Answer:
Step-by-step explanation:
(i) a^a + b^b
for a=3 and b= -2
3^3 + -2^(-2)
-2^(-2) = -(1/2^2)
3^3 -(1/2^2)
27 - (1/4)
26 3/4
ii) a^b + b^a
a^b + b^a
for a=3 and b= -2
3^(-2) + (-2)^3
1/3^2 + (-2)(-2)(-2)
1/9 - 8
-7 8/9
Dumpster #1 contains 45 fewer molded vegetables than dumpster #2. Dumpster #2 contains 80 fewer molded vegetables than dumpster #3. If there are 236 molded vegetables in all the dumpsters combined, how many vegetables are in dumpster #1?
Answer:
22 vegetables
Step-by-step explanation:
Set the #number of molded vegatables in dumpster 1 as X
The number of molded vegetables in 2 is x + 45 and the number of molded vegies in 3 is x + 45 + 80
x + x + 45 + x + 45 + 80 = 236 (combine similar terms)
Thats 3x = 66
Which equas 22
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
its A
Step-by-step explanation:
8-3=5 and 9/10-4/10=5/10=1/2
Answer:
A. 5 1/2
Step-by-step explanation:
[tex]8\frac{9}{10}-3\frac{4}{10}\\\text{Convert the mixed numbers into improper fractions.}\\(\frac{80}{10}+\frac{9}{10})-(\frac{30}{10}+\frac{4}{10})\\\text{Combine the fractions.}\\\frac{89}{10}-\frac{34}{10}\\\text{Since the denominators are the same, simply subtract the numerators.}\\\frac{89-34}{10}\\\frac{55}{10}\\\text{Split the fraction into two so one part becomes a whole number.}\\\frac{50}{10}+\frac{5}{10}\\\text{Evaluate 50 over 10.}\\5+\frac{5}{10}\\\text{Simplify the fraction 5/10.}\\[/tex]
[tex]5+\frac{5/5}{10/5}\\5+\frac{1}{2}\\\text{Combine the mixed number.}\\5\frac{1}{2}[/tex]
help me out please look at photo
Answer:
seek god
Step-by-step explanation:
dang maybe the 2nd one
Help please I’m kinda stuck on these last part!
Answer:
Emmanuel will need 8 scoops to get 2 tablespoons
you need 12 1/2 tablespoons for 6 tablespoons
Step-by-step explanation:
Find the Circumference.
Answer:
1.
r = 12 m.
d = 24 m.
circumference: 75.36 m² or 24π m²
2.
r = 10 cm.
d = 20 cm.
circumference: 62.8 cm² or 20π cm²
3.
r = 4 dm.
d = 24 dm.
circumference: 25.12 dm² or 8π dm²
Step-by-step explanation:
Circumference of a circle: 2πrπ (pi) = 3.14r (radius) = d/2d (diamater) = 2rSubstitute the the values of the table into the formula:
1.
r = 12 m.
d = 24 m.
circumference: 75.36 m² or 24π m²
2πr
2 * 3.14 * 12
3.14 * 24
75.36 m² or 24π m² <== circumference
12 * 2 = 24 m <== diameter
2.
r = 10 cm.
d = 20 cm.
circumference: 62.8 cm² or 20π cm²
r = 20/2 = 10 cm <== radius
2πr
2 * 3.14 * 10
3.14 * 20
62.8 cm² or 20π cm² <== circumference
3.
r = 4 dm.
d = 24 dm.
circumference: 25.12 dm² or 8π dm²
2πr
2 * 3.14 * 4
3.14 * 8
25.12 dm² or 8π dm² <== circumference
4 * 2 = 8 dm <== diameter
Hope this helps!
what is the interest rate (as a percent)
Answer:
I didn't understood your question. But,
Formula to find rate of interest=I×100/P×T
NEED HELP!! WILL GIVE BRAINLIEST!! PLEASE COMPLETE BOTH!
Answer:
[tex]10 \frac{5}{6}\\\\5 \frac{5}{6}[/tex]
Step-by-step explanation:
[tex]5 \times 2 \frac{1}{6} \\ \\ = 5 \times \frac{13}{6} \\ \\ = \frac{65}{6} \\ \\ = 10 \frac{5}{6} \\ \\ \\ 3 \frac{1}{2} \times 1 \frac{2}{3} \\ \\ = \frac{7}{2} \times \frac{5}{3} \\ \\ = \frac{35}{6} \\ \\ = 5 \frac{5}{6} [/tex]
Consider the first radical :
[tex]{:\implies \quad \sf 5\times 2\dfrac16}[/tex]
Using the properties of mixed fraction, writing the mixed fraction as an improper fraction, we will be having
[tex]{:\implies \quad \sf 5\times \bigg(\dfrac{6\times 2+1}{6}\bigg)}[/tex]
[tex]{:\implies \quad \sf 5\times \bigg(\dfrac{12+1}{6}\bigg)}[/tex]
[tex]{:\implies \quad \sf 5\times \dfrac{13}{6}}[/tex]
[tex]{:\implies \quad \sf \dfrac{65}{6}}[/tex]
[tex]{:\implies \quad \boxed{\bf{10\dfrac56}}}[/tex]
Hence, Option D) is correct
Now, coming to the 2nd question :
[tex]{:\implies \quad \sf 3\dfrac{1}{2}\times 1\dfrac{2}{3}}[/tex]
[tex]{:\implies \quad \sf \bigg(\dfrac{3\times 2+1}{2}\bigg)\times \bigg(\dfrac{3\times 1+2}{3}\bigg)}[/tex]
[tex]{:\implies \quad \sf \bigg(\dfrac{6+1}{2}\bigg)\times \bigg(\dfrac{3+2}{3}\bigg)}[/tex]
[tex]{:\implies \quad \sf \dfrac{7}{2}\times \dfrac{5}{3}}[/tex]
[tex]{:\implies \quad \sf \dfrac{35}{6}}[/tex]
Now, Rewriting this improper fraction as mixed fraction, we will be having :
[tex]{:\implies \quad \boxed{\bf{5\dfrac56}}}[/tex]
Hence, Option C) is correct
GUYS PLEASE HELP ME I NEED TO FINISH THIS
Which graph represents the solution of the system
[x2 + y2 = 4
[x-y=1
Answer:
its b
Step-by-step explanation:
just took the test
Answer:
Its C
Step-by-step explanation:
Have a good day!
1000 is divided by 100 and anwers is 10 but how can explain someone easy way
Pls help i will give brainliest
Answer:
i think 31
Step-by-step explanation: