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2 years ago

How do I find the value of -72÷(-9)

1 answer:

7 0

Just divide regular and the answer will be positive. the answer will be 8

remember:
two positives = positive
two negatives = positive
one positive, one negative = negative

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The profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the

Vitek1552 [10]

Answer: $4$ pairs

Step-by-step explanation:

Given

Profit on selling 'x' pairs of shoes is $P(x)=-4x^2+32x-39$

Find the derivative of the function to find out the critical points

$\Rightarrow -8x+32=0\\\Rightarrow x=4$

Thus, for 4 pair of shoes profit is maximize.

5 0

2 years ago

Angle of the Sun A 96-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun

scoray [572]

Answer:

The angle of elevation of the sun is 39⁰

Step-by-step explanation:

Given;

height of the tree, h = 96 ft

length of the shadow, L = 120 ft

| 96ft

θ------------------------------------

120ft

Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.

Apply trig-ratio to determine the angle of elevation of the sun;

tanθ = opposite side / adjacent side

tanθ = 96 / 120

tanθ = 0.8

θ = tan⁻¹(0.8)

θ = 38.7⁰

θ = 39⁰

Therefore, the angle of elevation of the sun is 39⁰

4 0

2 years ago

If Diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building?

elena55 [62]

The closer Diana gets to the building, the smaller the angle becomes

Diana is 17.6 feet closer to the building

<h3>How to calculate the distance from the building</h3>

To calculate the distance between her and the building, we make use of the following tangent ratio

$\tan(\theta) = \frac{h}{d}$

Where:

$\theta = 40^o$
h represents the height of the building; h = 130
d represents the distance from the building

So, we have:

$\tan(40) = \frac{130}{d}$

Make d the subject

$d = \frac{130}{\tan(40)}$

Evaluate tan(40)

$d = \frac{130}{0.8391}$

$d = 154.93$

Initially, Diana is at a distance of 172.53.

The difference in both distance is:

$\Delta d = 172.53 - 154.93$

$\Delta d = 17.6$

Hence, Diana is 17.6 feet closer to the building

Read more about trigonometry ratios at:

brainly.com/question/4326804

7 0

2 years ago

Producto de (10x+7)(10x-7)

Marat540 [252]

Answer:

(10x−7)^2

Step-by-step explanation:

(10x+7)(10x-7)

i stead of making it a "100" since they are both the same but positive and negative () and bring it to the power of 2

4 0

2 years ago

Plz help ill give u brainlist

Fed [463]

Angle 1 is a right angle =90 °
so 5x-85=90
5x=90+85
5x=175
x=35

8 0

3 years ago