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Fofino [41]
3 years ago
13

A store manager predicts that 60 hats will be sold if each hat costs $20. The manager predicts that 2 less hats will be sold for

every $1 increase in price. For what prices can the manager predict that at least 30 hats will be sold?
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
4 0
40 is ur correct answer

100-60=40 is the number of hat sales the manger can afford to lose 40/4=10
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A volcano in the approximate shape of a cone has a diameter of 16 km and a height of 1.95 km. Which estimate best approximates t
masha68 [24]
To find the approximate volume of the volcano, you will use the formula for finding the volume of a cone.

V = 1/3 x pi x r^2 x h
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The approximate volume of the volcano is 131 cubic kilometers.
7 0
3 years ago
A guy wire to a tower makes a 71° angle with level ground. At a point 36 ft farther from the tower than the wire but on the same
lilavasa [31]

The length of the wire is 37.15 ft

<u>Explanation:</u>

The figure is attached for the reference.

tan (71) = \frac{y}{x}

tan (36) = \frac{y}{36+x}

So,

tan(36) (36 + x) = y

tan(71) = \frac{tan (36) (36 + x )}{x}

2.9 = \frac{0.73 (36 + x)}{x} \\\\2.9 x = 26.28 + 0.73x\\\\2.17x = 26.28\\\\x = 12.11 ft

Substituting x = 12.11 ft in equation 1:

tan (71) = \frac{y}{12.11} \\\\2.9 X 12.11 = y\\\\y = 35.119 ft

Length of the wire, z = \sqrt{x^2 + y^2}

So,

z = \sqrt{(12.11)^2 + (35.119)^2} \\\\z = \sqrt{146.6521 + 1233.3442} \\\\z = 37.15 ft

Therefore, the length of the wire is 37.15 ft

7 0
3 years ago
The sun casts a 70 foot shadow on a 30 foot tree. Find the angle of elevation to the nearest degree.
Nesterboy [21]

Answer:

23°

Step-by-step explanation:

We apply Pythagorean theorem to determine the missing length, Hypotenuse:

h^2+b^2=H^2\\\\70^2+30^2=H^2\\\\H=\sqrt{5800}\\\\=76.15773\ ft

This hypotenuse corresponds to the right triangle and the tree's height, corresponds to the angle of elevation:

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\frac{a}{Sin \ A}=\frac{b}{Sin\ B}\\\\\\\frac{76.15773}{Sin \ 90}=\frac{30}{Sin\  h}\\\\h=Sin^{-1}\frac{30}{76.15773}\\\\=23.19859\approx 23\textdegree

Hence, the angle of elevation is 23°

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3 years ago
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scoundrel [369]

Answer:

The y intercept is 6 and the slope is -3.

Please see the attached graph.

6 0
4 years ago
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Rudik [331]

<h2>\huge{Answer}</h2>

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