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valentinak56 [21]
3 years ago
15

If sin 20 degree=a and cos20 degree=b then which of the following represents the correct value of sin 70 degree in terms of a an

d/or b?
1) a+b
2) a
3) b
4)a-b
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0

ANSWER

3) b

EXPLANATION

Given that:

\sin(20 \degree)  = a

and

\cos(20 \degree)  = b

Recall that the sine and cosine functions are equal for complementary angles.

This implies that,

\sin(70 \degree)  =  \cos(20 \degree)

\sin(70 \degree) = b

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Kira is a software saleswoman. Her base salary is $1600, and she makes an additional $60 for every copy of "English is Fun" she
Alchen [17]

Answer:

P = 1600 + 60N; $3,340

Step-by-step explanation:

Since we know she gets $1,600 as a base, and $60 <em>each book</em>, we have to add a variable to 60 to show how many books she sells. Your first equation will be P (which is the total) = 1,600 + 60N. Now, we have to replace N with 29. You now have P = 1,600 + 60(29) = 1,600 + 1,740 = $3,340. That's your answer!

5 0
3 years ago
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Grandma has just finished baking a large rectangular pan of brownies. She is planning to make rectangular pieces of equal size a
Nikitich [7]

Answer: 60

Step-by-step explanation:

Let the side lengths of the rectangular pan be m and n. It follows that (m-2)  (n-2)= mn/2

So, since haf of the brownie pieces are in the interior. This gives 2 (m-2) (n-2) =mn

mn- 2m - 2n- 4 = 0

Then Adding 8 to both sides and applying, we obtain (m-2) (n-2) =8

Since now, m and n are both positive, we obtain (m,n) = (5,12), (6,8) (up to ordering). By inspection, 5. 12 = 60

which maximizes the number of brownies in total which is the greatest number.

Hope that helped! =)

7 0
3 years ago
there are 2.54 centimeters in 1 inch. there are 100 centimeters in 1 meter.questionto the nearest meter, how many meters are in
Gre4nikov [31]

There are 7 meters in 279 inches.

  • There are 2.54 centimeters in 1 inch.
  • There are 100 centimeters in 1 meter.
  • The number of inches is given to be 279.
  • Unit conversion is a multi-step procedure that includes multiplying or dividing by a numerical factor, determining the appropriate number of significant digits, and rounding.
  • First of all, we need to convert inches to centimeters.
  • 1 inch equals 2.54 centimeters.
  • 279 inches equals 2.54*279 centimeters.
  • 279 inches equals 708.66 centimeters.
  • Now, we need to convert these centimeters into meters.
  • Meters in 100 centimeters = 1
  • Meters in 1 centimeters = 1/100
  • Meters in 708.66 centimeters = (1/100)*708.66
  • Meters in 708.66 centimeters = 7.0866
  • Thus, there are approximately 7 meters in 279 inches.

To learn more about unit conversion, visit :

brainly.com/question/11543684

#SPJ4

8 0
1 year ago
When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f,
jonny [76]

Step-by-step explanation:

wow, how complicated can one phrase this ...

the point being :

1 ft = 12 in and vice versa (1 in = 1/12 ft)

so, any measurements given in feet but needed in inches need to be multiplied by 12.

and any measurements given in inches but needed in feet need to be divided by 12.

so,

3.5 ft = 3.5×12 = 7/2 × 12 = 7×6 = 42 in

27 in = 27/12 = 9/4 = 2 1/4 or 2.25 ft

3 0
3 years ago
Please help me and explain how you got the answer
PSYCHO15rus [73]

Answer:

∠NQP = 74°

Step-by-step explanation:

NPQ is a triangle.

We know the sum of 3 angles of a triangle is 180 degrees. So we can write:

N + P + Q = 180

2x + 34 + 2x + 2 = 180

Now, we can solve for x:

2x + 34 + 2x + 2 = 180\\4x+36=180\\4x=180-36\\4x=144\\x=\frac{144}{4}\\x=36

The measure of NQP is "2x+2", we plug in x = 36, and find the measure of NQP:

∠NQP = 2(36) + 2 = 74°

3 0
3 years ago
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