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2 years ago

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Mathematics

1 answer:

Pani-rosa [81]2 years ago

8 0

Answer:

Step-by-step explanation:

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Find the value of x.

son4ous [18]

Answer:

18.0

Step-by-step explanation:

==>Given:

Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°

==>Required:

Value of x to the nearest tenth

==>Solution:

Using the Cosine rule: c² = a² + b² - 2abcos(C)

Let c = x,

a = 16

b = 30

C = 30°

Thus,

c² = 16² + 30² - 2*16*30*cos 30°

c² = 256 + 900 - 960 * 0.8660

c² = 1,156 - 831.36

c² = 324.64

c = √324.64

c = 18.017769

x ≈ 18.0 (rounded to nearest tenth)

8 0

3 years ago

Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward a

Zanzabum

Answer:

(4,0,-5)

Step-by-step explanation:

Since we move 4 points along +ve x-axis so, x coordinate is 4

We did not move any point along y-axis so y coordinate is 0

we moved 5 points along -ve z-axis so z coordinate is -5

so our position is (x,y,z) = (4,0,-5)

3 0

2 years ago

the pet store sells bags of pet food. there are 4 bags of cat food. one sixth of the bags of food are bags of cat food. how many

const2013 [10]

28 bags if you include the cat food (which you would)

8 0

2 years ago

Read 2 more answers

A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a peri

mihalych1998 [28]

Answer:

5 months

Step-by-step explanation:

We assume that y represents production capacity, rather than <em>increase</em> in production capacity. Then we want to solve the 6th-degree equation ...

x^6 -25x^4 +199x^2 -4975 = 0

This can be factored in groups as ...

x^4(x^2 -25) + 199(x^2 -25) = 0

(x^4 +199)(x^2 -25) = 0

This has 4 complex solutions and 2 real solutions.

x^2 = 25

x = ±5

The duration required for capacity to reach 4975 units is 5 months.

7 0

3 years ago

Y=-3x + 10<br> y = -2x + 6<br> Substitution method

Nutka1998 [239]

Answer:

x=4 and y=−2

Step-by-step explanation:

y=−3x+10;y=−2x+6

Step: Solve y=−3x+10for y:

Step: Substitute−3x+10foryiny=−2x+6:

y=−2x+6

−3x+10=−2x+6

−3x+10+2x=−2x+6+2x(Add 2x to both sides)

−x+10=6

−x+10+−10=6+−10(Add -10 to both sides)

−x=−4

-x/-1 = -4/-1 (Divide both sides by -1)

x=4

Step: Substitute4forxiny=−3x+10:

y=−3x+10

y=(−3)(4)+10

y=−2(Simplify both sides of the equation)

7 0

2 years ago

Read 2 more answers