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2 years ago

5

Mrs. Melanie Lazo pays Php 15.75 for each hair clip to its supplier. She decided to adds markup of Php 3.15. What is the markup

rate?

1 answer:

malfutka [58]2 years ago

8 0

Answer:

the answer to the problem is 20.8%

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What is the length of line segment EF if DE is 6ft and DF is 11ft and angle FDE is 40 degrees

Anna [14]

Answer:

The length of EF = 7.48 feet

Step-by-step explanation:

* Lets consider these tree segment formed triangle DEF

- We have the length of two sides and the measure of the

including angle between these two sides

* So we can use the cos Rule to find the length of the third side

- The cos rule ⇒ a² = b² + c² - 2bc cosA

# a is the side opposite to angle A

# b is the side opposite to angle B

# c is the side opposite to angle C

# Angle A is the including angle between b and c

* In the problem

∵ DE = 6 feet

∵ DF = 11 feet

∵ m∠FDE = 40° ⇒ including angle between DE and DF

and opposite to EF

- By using cos Rule

∴ (EF)² = (DE)² + (DF)² - 2(DE)(DF) cos∠FDE

∴ (EF)² = (6)² + (11)² - 2(6)(11) cos(40)

∴ (EF)² = 55.882133 ⇒ take square root for both sides

∴ EF = 7.47543 ≅ 7.48 feet

* The length of EF = 7.48 feet

6 0

2 years ago

The feet of a commemorative parabolic steel arch 100m high are 200m apart. Determine whether the focus of the arch is above or b

Neko [114]

<span>First of all, there should be coherence for the units of measurement -- either they are all meters or they are all ft. I would assume they are all ft. The correct answer is 75 ft above. T The explanation is the following: suppose the ground level is the x-axis, the 2 feet of the arch lie respectively on (0,0) and (100,0) on the ground level. Since the arch is 100ft high, the vertex of the parabola will be the point (100,100). Thus, we can find the equation describing the parabola by putting the three points we know in a system and we find that the equation of the parabola is y=(-1/100)x^2+2 To find the focus F, we apply the formula for the focus of a vertical axis parabola, i.e. F(-b/2a;(1-b^2+4ac)/4a). By substituting a=-1/100, b=2 and c=0 into the formula, we find that the coordinates of the focus F are (100,75). So we conclude that the focus lies 75ft above ground.</span>

7 0

2 years ago

Read 2 more answers

What is the equation for the linear model in the scatter plot obtained by choosing the two points to the closest line?

sergiy2304 [10]

(4,12) (20,36)
slope = (36 - 12)/(20-4) = 24 / 16 = 3/2 = 1.5

y intercept (0,6) b = 6
equation
y = 1.5x + 6

answer
b. y = 1.5x + 6

4 0

2 years ago

Jordan used the distributive property to write an expression that is equivalent to 6c – 48. 6c - 48 is equivalent to 6(c - 48) I

Katyanochek1 [597]

It’s incorrect.

The correct answer is 6(c - 8)

8 0

2 years ago

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At eagle bay it cost $12 per hour to rent a Canoe Nate and his friends rented a canoe for 4 hours and paid $68. Write and solve

stich3 [128]

The cost to rent the canoe for 7 hours is $ 104

<em><u>Solution:</u></em>

At eagle bay it cost $12 per hour to rent a Canoe

Nate and his friends rented a canoe for 4 hours and paid $68

Let "x" be the number of hours rented

We can solve use the point slope equation

$y-y_1 = m(x-x_1)$

Where, "m" is the rate of change

$(x_1, y_1)$ is the sample point

From given,

m = 12

$(x_1, y_1) = (4, 68)$

Therefore,

$y - 68 = 12(x-4)$

$y - 68 = 12x -48\\\\y = 12x -48+68\\\\y = 12x + 20$

Thus the linear equation is found

Here, "y" represents the amount paid for "x" hours

<em><u>Find the cost to rent the canoe for 7 hours</u></em>

Substitute x = 7 in linear equation

y = 12(7) + 20

y = 84 + 20

y = 104

Thus cost to rent the canoe for 7 hours is $ 104

4 0

2 years ago