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Nadusha1986 [10]
3 years ago
14

If sin(3x+2)=cos(4x-10), what is the value of x to the nearest tenth?A. 7.6B. 12.0C. 14.0D. 26.9

Mathematics
1 answer:
Nataly [62]3 years ago
4 0
For a complimentary pair of angles i.e a+b=90 degrees, then cos a= sin b
so;
3x+2=4x-10
2+10=4x-3x
x=12.0

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KATRIN_1 [288]

Answer:

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Step-by-step explanation:

6 0
3 years ago
The cheetah area at a zoo is designed in a triangular fashion, surrounded on all three sides by sidewalks. The property has 67 f
Strike441 [17]

1529.3 square unit is the area of the cheetah area at a zoo is designed in a triangular fashion, surrounded on all three sides by sidewalks, given that the property has 67 feet of frontage on one sidewalk, and 48 feet of frontage on another; these two sidewalks intersect at a 72° angle. This can obtained by using the formula of Area of a Triangle with 2 Sides and Included Angle.

<h3>Find the area of the cheetah area at the zoo:</h3>

Area of a triangle is obtained using the formula of Area of a Triangle with 2 Sides and Included Angle.

If in a triangle ΔABC,

  • 1/2 × bc × sin(A), if b and c are two sides of a triangle and angle A is the included angle
  • 1/2 × ac × sin(B), if a and c are two sides of a triangle and angle B is the included angle
  • 1/2 × ab × sin(C), if a and b are two sides of a triangle and angle C is the included angle

Here it is given that,

67 feet and 48 feet are the sides of the triangular space and angle 72° is the included angle.

By using the formula of Area of a Triangle with 2 Sides and Included Angle,

Area of the cheetah area = 1/2 × bc × sin(A)

Area of the cheetah area = 1/2 × (67)(48) × sin(72°)

sin(72°) = 0.951056516

Area of the cheetah area = 1608 × 0.951056516

Area of the cheetah area = 1529.29888 ≈ 1529.3 square unit

             

Hence 1529.3 square unit is the area of the cheetah area at a zoo is designed in a triangular fashion, surrounded on all three sides by sidewalks, given that the property has 67 feet of frontage on one sidewalk, and 48 feet of frontage on another; these two sidewalks intersect at a 72° angle.

   

Learn more about area of triangle here:

brainly.com/question/19305981

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7 0
1 year ago
True or False 2 is a root of x^6-9x^4+24x^2-16=0 two times
son4ous [18]

Answer:

True

Step-by-step explanation:

No need for explanation

8 0
3 years ago
Help Asap! 20 points!
VLD [36.1K]
Hello

A. will be your answer. 


Hoped This Helped! :D
5 0
3 years ago
Simplify the expression 8y+y-5y
IRINA_888 [86]

Hello

8y+y-5y = 9y- 5y =4y

or  8y+y-5y = y(8+1-5) =y (9-5)  = y(4) =4y

4 0
2 years ago
Read 2 more answers
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