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Nata [24]
3 years ago
8

The exchange rate is : £1 = $1.54 how many £ would you get for $77

Mathematics
1 answer:
harina [27]3 years ago
3 0
77  /  1.54   =  <span>£ </span>53.8461538

Check = 53.85 x 1.54 = 77
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Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6
Anettt [7]
Splitting up the interval [0, 6] into 6 subintervals means we have

[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]

and the respective midpoints are \dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2. We can write these sequentially as {x_i}^*=\dfrac{2i+1}2 where 0\le i\le5.

So the integral is approximately

\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2

Recall that

\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6
\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2
\displaystyle\sum_{i=1}^n1=n

so our sum becomes

\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)
=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2

8 0
3 years ago
A company sell men basketball with a circumference of 29.5 in they also sell youth basketball with a circumference 27.75 in the
Vedmedyk [2.9K]

Answer:

9 INCHES

Step-by-step explanation:


8 0
3 years ago
(PLS HELP)<br> Choices:<br> A. 120cm<br> B. 117cm<br> C. 101cm<br> D. 350cm
weeeeeb [17]

Answer:

117

Step-by-step explanation:

13*9=117

6 0
2 years ago
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Write the decimal equivalent to 7/9
diamong [38]
Just do 7 divided by 9

3 0
3 years ago
Read 2 more answers
#10 using right angle below find the tangent of angle A.
just olya [345]

Answer: the first option is the correct answer.

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

AB represents the hypotenuse of the right angle triangle.

With m∠A as the reference angle,

AC represents the adjacent side of the right angle triangle.

BC represents the opposite side of the right angle triangle.

To determine the tangent of angle A, we would apply the Tangent trigonometric ratio. It is expressed as

Tan θ, = opposite side/adjacent side. Therefore,

Tan A = 5/5√3 = 1/√3

Rationalizing the surd, it becomes

1/√3 × √3/√3

Tan A = √3/3

6 0
3 years ago
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