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3 years ago

Guys pls help me!!!!!!

Mathematics

1 answer:

Anettt [7]3 years ago

5 0

Answer:

126°

Step-by-step explanation:

1. We know that 54 degrees and its adjacent are a linear pair, meaning that they add up to 180 degrees. To find the measure of the adjacent angle, we subtract 54 from 180.

$180 - 54$
$126$

2. Now, we know that adjacent of 54 is 126. Also, we know that $l$ ║ $m$ ║ n, and x and 126 degrees are corresponding angles. Corresponding angles are congruent within angle measures, so x = 126 degrees.

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The revenue (in millions of dollars) from the sale of x units at a home supply outlet is given by R(x)equals=0.210.21x. The p

Natalka [10]

Answer: a) c(x) = 0.124x + 1.1, b) 13 units

Step-by-step explanation: Revenue function = R(x) = 0.21x

Profit function = p(x) = 0.086 - 1.1

Cost function = c(x) =?

Recall that profit = total revenue - total cost

Hence, total cost = total revenue - profit

c(x) = 0.21x - (0.086x - 1.1)

c(x) = 0.21x - 0.086x + 1.1

c(x) = 0.124x + 1.1

Break even point is the point where total revenue equals total cost

R(x) = c(x)

0.21x = 0.124x + 1.1

0.21x - 0.124x = 1.1

0.086x = 1.1

x = 1.1/0.086

x = 12.79 which is approximately 13 units

4 0

3 years ago

For every 3 laps that Jackie swims, Ronnie swims 4 laps. During practice, they swam a combined total of 63 laps. How many laps d

Flura [38]

Answer:

36 laps Ronnie swim during practice .

Step-by-step explanation:

Let us assume that the laps that Ronnie swims be x .

Let us assume that the laps that Jackie swims be y .

As given

For every 3 laps that Jackie swims, Ronnie swims 4 laps.

i.e

3 × laps that Ronnie swims = 4 × laps that Jackie swims

3 × x = 4 × y

3x = 4y

Equation becomes

x + y = 63

Thus by using 3x = 4y .

$y = \frac{3x}{4}$

Thus

$x +\frac{3x}{4} = 63$

4x + 3x = 63 × 4

7x = 252

x = 36

Put the value of x in the equation x + y = 63

36 + y = 63

y = 63 - 36

y = 27

Therefore the 36 laps Ronnie swim during practice .

4 0

3 years ago

100

disa [49]

Answer:

Distance of ladder top from ground = 9.2 meter (Approx.)

Step-by-step explanation:

Given:

Angle of elevation between ground and ladder = 43°

Length of ladder = 13.5 meter

Find:

Distance of ladder top from ground

Computation:

Length of ladder = Hypotenuse

Distance of ladder top from ground = Perpendicular

Sinθ = Perpendicular / Hypotenuse

Sin 43 = Distance of ladder top from ground / Length of ladder

0.6819 = Distance of ladder top from ground / 13.5

Distance of ladder top from ground = 9.20565

Distance of ladder top from ground = 9.2 meter (Approx.)

8 0

3 years ago

Y=-3x^2+6x+c; (1,0) find C

kogti [31]

<span>Simplifying 3x2 + -6x + c = 0 Reorder the terms: c + -6x + 3x2 = 0 Solving c + -6x + 3x2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6x' to each side of the equation. c + -6x + 6x + 3x2 = 0 + 6x Combine like terms: -6x + 6x = 0 c + 0 + 3x2 = 0 + 6x c + 3x2 = 0 + 6x Remove the zero: c + 3x2 = 6x Add '-3x2' to each side of the equation. c + 3x2 + -3x2 = 6x + -3x2 Combine like terms: 3x2 + -3x2 = 0 c + 0 = 6x + -3x2 c = 6x + -3x2 Simplifying c = 6x + -3x<span>2</span></span>

4 0

3 years ago

6. Simplify the following a) - 36 12y b) 24a (-3a) c) 2a (-3) - 5ab d) 70y + 10 +34y - 8 7 Simplify

Dmitriy789 [7]

Answer:

a) 432y

b) -72a^2

c) -6a - 5ab

d) 104y-46

Step-by-step explanation:

3 0

3 years ago