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3 years ago

Express each of the following in terms of a reference angle. Explain, please.

1 answer:

4 0

Sin 45 = sin 45
sin 135 = sin (180 - 45) = sin 45
sin(225) = -sin(180 + 45) = -sin 45
sin 315 = -sin(360 - 45) = -sin 45

cos 224.5 = -cos(180 + 44.5) = -cos 44.5
cos 658 = cos(658 - 360) = cos 298 = cos(360 - 62) = cos 62
cos 145.7 = -cos (180 - 34.3) = -cos 34.3
sin (-201) = sin (360 - 201) = sin(159) = sin (180 - 159) = sin 21

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Best estimate for 89% of 152?

Karolina [17]

135.28 should be it is that all the probm

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3 years ago

A clothing store has a going-out-of business sale. They are selling pants for $8.99 and shirts for $3.99. You can spend as much

astraxan [27]

Answer:

Let x represents the number of pants and y represents the number of shirts.

As per the statement:

Since, a clothing store are selling pants for $8.99 and shirts for $3.99

then;

total number of Pants cost is, $8.99x and total number of Shirt cost is, $3.99

Also, it is given that: You can spend as much as $60 and want to buy at least two pairs of pants.

then, we have the equation of inequality;

$8.99x + 3.99y \leq 60$ ;......[1] where x, y are natural number.

x-intercept:

Substitute the value y= 0 in [1] and solve for x;

$8.99x + 3.99(0) \leq 60$

$8.99x \leq 60$

Simplify:

$x \leq 6.667$

Since, x is in natural number;

$x \leq 7$

Similarly.

For y-intercept:

Substitute the value x= 0 in [1] and solve for x;

$8.99(0) + 3.99y \leq 60$

$3.99y \leq 60$

Simplify:

$y \leq 15.037$

$y \leq 15$

Therefore, we have

$8.99x + 3.99y \leq 60$ ;

$2\leq x\leq 7$ and $0\leq y\leq 15$

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2 years ago

What is the common ratio in this geometric series?

Lerok [7]

For a geometric sequence or geometric series, the common ratio is the ratio of a term to the previous term. This ratio is usually indicated by the variable r. Example: The geometric series 3, 6, 12, 24, 48, . . . has common ratio r = 2.

4 0

3 years ago

Solve -2x+3y=-9 4x-6y=2

mr Goodwill [35]

Step-by-step explanation:

Given,

-2x + 3y = -9 ------- (eqⁿ 1)

4x - 6y = 2 ----------- (eqⁿ 2 )

now,

multiply eqⁿ 1 by 2

so we got,

-4x + 6y = -18 -------- (eqⁿ 3)

now,

subtract eqⁿ 2 from eqⁿ 3

we got,

-8x = -16

x = -16/-8

x = 2,

so , after putting values in the eqⁿ 2

we got,

4(2) - 6y = 2

8 - 6y = 2

6y = 2 - 8 = 6

y = 6/6

y = 1

x = 2 and y = 1

hope this answer helps you dear...take care!

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3 years ago

√6 x √27 is equal to

anygoal [31]

Answer:

square root 162

Step-by-step explanation:

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2 years ago

Read 2 more answers