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murzikaleks [220]
4 years ago
12

A circle with circumference \blue{20}20start color #6495ed, 20, end color #6495ed has an arc with a 72^\circ72 ∘ 72, degrees cen

tral angle. What is the length of the arc?
Mathematics
2 answers:
UkoKoshka [18]4 years ago
5 0

Answer:

Length of Arc = 4

Step-by-step explanation:

Circumference is the whole circle's perimeter.

Arc length is a "part" of the circumference.

Whole circle is 360 degrees, so the arc length with a central angle of 72 degrees will be:

72/360 = 1/5th of the whole circle

The whole circle has circumference of "20", so 1/5 th of that would be:

(1/5) * 20 = 4

Length of Arc = 4

ANEK [815]4 years ago
5 0

Answer:

1/3 khan academy quiz

Step-by-step explanation:

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An investment of 100,000 AED increases at a rate of 16% per year. What is
stepan [7]

Answer:

1,946,075.95 AED

Step-by-step explanation:

Firstly, we write the general formula for an exponential increase as follows;

V(t) = A( 1 + r)^t

where V(t) is the value after some number of years t

A is the investment amount which is 100,000 AED

r is the rate of increase which is 16% = 16/100 = 0.16

t is the number of years which is 20

substituting these values;

V(20) = 100,000( 1 + 0.16)^20

V(20) = 100,000(1.16)^20

V(20) = 1,946,075.95 AED

7 0
3 years ago
5 times what equals 200
KATRIN_1 [288]
200 divided by 5 equals 40.
So therefore, 40 times 5 equals 200.
8 0
4 years ago
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Karen says the functions f(×)=×+3 and g(×)= -×+7 intersect at x=2 is she correct
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Answer:

Yes.

Step-by-step explanation:

To find the point of intersection we solve the system:

y = x + 3

y = -x + 7       Subtract:

0 = 2x - 4

2x = 4

x = 2.

She is correct.

7 0
3 years ago
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Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right e
DENIUS [597]
Hello,

Reminders:
$\sum_{i=1}^{n} i= \dfrac{n(n+1)}{2}$



$ \sum_{i=1}^{n} i^2= \dfrac{n(n+1)}{2}$


$ \sum_{i=1}^{n} i^3= \dfrac{n^2(n+1)^2}{4} $


n=6\\
x_{0}=0\\
x_{n}=3\\
\Delta= \dfrac{x_n-x_0}{n}=0.5\\


x_{i} =0+\Delta*i= \frac{i}{2}

$ \sum_{i=1}^{n}\ \Delta*f(x_{i})=\sum_{i=1}^{6}\  \dfrac{i^3/8-6i}{2} $
$= \dfrac{1}{2}\sum_{i=1}^{6}  (\frac{i^3}{8} -6i)=\dfrac{1}{16}*\frac{(6*7)^2}{4}- \frac{9*7}{2}= -3.9575


Download xls
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> xls </span>
9ff7829711a1673b799001e7d65e7199.gif
8 0
3 years ago
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Plz help 7(4x - 3) = 4x
Vika [28.1K]

Answer:

x= 7/ 8 is the answer

If you wanted to simplify

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