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natali 33 [55]
3 years ago
13

Use the first five terms of the trigonometric series to approximate the value of

%5Cpi%20%7D%7B2%7D" id="TexFormula1" title="sin\frac{\pi }{2}" alt="sin\frac{\pi }{2}" align="absmiddle" class="latex-formula"> to four decimal places.
a. 0.9878
b. 1.2345
c. 0.6578
d. 1.0000
Mathematics
1 answer:
Schach [20]3 years ago
3 0

Answer:b

Step-by-step explanation:

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Find the x- and y- intercepts of the line with the equation 3x+4y=-12
masya89 [10]
3x + 4y = -12

X - Intercept:    3x + 4y = -12
                      3x + 4(0) = -12
                           3x + 0 = -12
                                 3x = -12
                                  3       3
                                   x = -4
                             (x, y) = (-4, 0)

Y - Intercept:   3x + 4y = 12
                     3(0) + 4y = 12
                         0 + 4y = 12
                               4y = 12
                                4      4
                                 y = 3
                           (x, y) = (0, 3)
8 0
3 years ago
Grade improvement and study motivation
Digiron [165]

Step-by-step explanation:

fng-mrxb-dop p.l.e.a.s.e join

5 0
2 years ago
Part 2
ahrayia [7]

Answer:

B. 236.3

Step-by-step explanation:

Population density can be found by dividing the number of people by the area of the land.

number of people / land area

The population is 20,510 people and the area is 86.8 square miles.

20,510 people / 86.8 square miles

Divide 20,510 by 86.8

236.290323 people /square mile

Round to the nearest tenth. The 9 in the hundredth place tell us to round the 2 to a 3 in the tenth place.

236.3 people/ square mile

There are 236.3 people per square mile and B is correct.

6 0
2 years ago
A local hamburger shop sold a combined total of 712 hamburgers and cheeseburgers on Tuesday. There were 62 more cheeseburgers so
hammer [34]
A local hamburger shop sold a total of 712 burgers on Tuesday

There are 62 more cheeseburgers than hamburgers

let cheeseburers = c
let hamburgers = h

h + 62 = c
c + h = 712

Plug in h + 62 for c

(h + 62) + h = 712
2h + 62 = 712
2h + 62 (-62) = 712 (-62)
2h = 650
2h/2 = 650/2
h = 325

There are 325 hamburgers sold on Tuesday

c = 325 + 62
c = 387

<em>There are 387 chesseburgers sold on tuesday </em>(in case you were wondering)


hope this helps
4 0
2 years ago
Vaughn is laying sod in his backyard. A diagram of his backyard is bel ow
Orlov [11]

Answer: A=944\ ft^2

Step-by-step explanation:

You need to use the following formula that is used to find the area of a trapezoid:

A=(\frac{M+m}{2})h

Where "M"and "m" are the bases of the trapezoid and "h" is the height of the trapezoid.

Based on the information given in the exercise, you can identify that:

M=c=36\ ft\\\\m=a=23\ ft\\\\h=b=32\ ft

Knowing these values, you can substitute them into the formula:

A=(\frac{36\ ft+23\ ft}{2})(32\ ft)

Finally, you must evaluate in order to find its area. This is:

A=(\frac{59\ ft}{2})(32\ ft)\\\\A=\frac{1888\ ft^2}{2}\\\\A=944\ ft^2

7 0
3 years ago
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