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Mandarinka [93]
3 years ago
6

Peter has 900 New Zealand dollars. If 1 U.S. dollar equals 1.4167 New Zealand dollars, about how many U.S. dollars can Peter buy

for his New Zealand dollars?
Mathematics
2 answers:
pentagon [3]3 years ago
7 0

Answer:

He can buy 635 US dollars.

Step-by-step explanation:

Given,

The number of New Zealand dollars Peter has = 900,

Also, 1 US Dollars = 1.4167 New Zealand dollars,

1\text{ New Zealand dollars}=\frac{1}{1.4167}\text{ US Dollars}

\implies 900\text{ New Zealand dollars}=900\times \frac{1}{1.4167}=\frac{900}{1.4167}=635.279169902\text{ US Dollars}\approx 635\text{ US dollars}

Hence, he can buy 635 US dollars.

lianna [129]3 years ago
6 0
Multiply the NZ dollar amount by the conversion factor:

900 NZ dollars              1 US dollar
--------------------- * -------------------------- =  $635.28, or approx. $635. 
             1               1.4167 NZ dollars
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Five less than three times a number is 10
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Answer:

x=5

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3x-5=10

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3x=15

3x/3=15/3

x=5

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Carmen is an engineer making plans to run a rail line, represented by the transversal t, through a city.
lubasha [3.4K]

Answer:

m\angle 1=155\degree

Step-by-step explanation:

The missing diagram is shown in the attachment.

We need to Examine Carmen’s rail plans to identify the measure of ∠1.

Recall that corresponding angles are equal.

From Carmen’s rail plans, the measure of \angle 1  corresponds to 155 degrees because the streets represented by lines V and W are parallel and t is a transversal.

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3 years ago
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Which interval for the graphed function contains the local minimum? [–1, 1] [1, 2] [–3, –1] [–5, –3]
garik1379 [7]

Answer:

Option (c) [–3, –1]

Step-by-step explanation:

In any interval,

If f(a) ≥ f(x) for all x in the interval, then it is Local maxima (hill) and,

If f(a) ≤ f(x) for all x in the interval, then it is Local minima (valley).

(as shown in the diagram)

Now, as clearly seen in the 2nd image, the local minimum is at point (-2,-6). And the interval which contains the local minimum is [-3,-1]. Hence, option (c) is correct.

8 0
4 years ago
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Sam had four tests last month. His scores were 81, 94, 83, and 91. What is the median of his scores?
Novay_Z [31]

Answer:

To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

81,83,91,94

since its an even number add up the two middle numbers 83 and 91 to equal 174 then divide by two to have the median of 87

Step-by-step explanation:


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3 years ago
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Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximati
Y_Kistochka [10]

Hello from MrBillDoesMath!

Answer:   8 (Pi - sqrt(3))

Discussion:

The area of the shaded region is that of the semicircle minus the area of the triangle..


Area of semicircle = 1/2 * Pi * R^2        

    Where R^2 is the square of the radius of the circle. In our case, R ( = OC)

     = 4 so the semicircle area is

    (1/2) * Pi * (4^2) = (1/2) * Pi * 16 = 8 Pi


Area of triangle.

   First of all, angle ACB is a right angle ( i.e. 90 degrees).

     * This is the Theorem of Thales from elementary Plane Geometry. *

  so by Pythagoras

    AC^2 + BC^2 = AB^2

 But CB = 4 (given) and AB = 4*2 = 8 ( the diameter is twice the radius).

 Substituting these in Pythagoras gives

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    Hence AC = sqrt(48) = sqrt (16*3) = 4 * sqrt(3)

We are almost done! The area of the triangle is given by

   (1/2) b * h = (1/2)  BC * AC = (1/2) 4 * (4 * sqrt(3)) =  8 sqrt(3)

We conclude the area area of the shaded part is

  8 PI - 8 sqrt(3)   = 8 (Pi - sqrt(3))

Note that sqrt(3) is approx  1.7 so (PI - sqrt(3)) is a positive number, as it better well be!


Thank you,

MrB

6 0
3 years ago
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