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GaryK [48]
3 years ago
8

A hot-air balloon advertising for a real estate company is 250 m above ground level. The angle of depression from the balloon is

to the landing area is 30 degrees. What is the distance along the ground from a point beneath the balloon to the landing area?
Mathematics
1 answer:
-BARSIC- [3]3 years ago
5 0

Answer:

The answer i'm pretty sure is 14.832

Step-by-step explanation:

In the process A squared + B squared = C squared the variable 250m is C squared and the angle 30 degrees is A or B squared so if you subtract 30 from 250 you get 220 and by taking the square root of that you get the answer 14.832

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Subtract the given function and indicate the domain of the difference
maxonik [38]

Answer:

The domain is x\in (-\infty,\infty).

Step-by-step explanation:

Given functions f(x)=x^2+3x+1 and g(x)=2x^2-4x-1

Subtract these two functions:

f(x)-g(x)\\ \\=(x^2+3x+1)-(2x^2-4x-1)\\ \\=x^2+3x+1-2x^2+4x+1\\ \\=(x^2-2x^2)+(3x+4x)+(1+1)\\ \\=-x^2+7x+2

Plot these difference on the coordinate plane (see attached diagram). This function is defined for all vlues of x, so the domain is x\in (-\infty,\infty).

6 0
3 years ago
one interior angle of a polygon is a right angle and each of the other interior angles is 126°. Calculate the number of sides of
Vikentia [17]

Answer:

There are 7 sides.

Step-by-step explanation:

Let's Use the formula that states that the sum of the angles of an n-sided polygon is given by.

S=(n−2)180

Since we are given that the two angles are right, the angles and each of the remaining angles is 144.

And Therefore, the sum is:

S=90

(n−2)144

(n−2)180

=90

+90

+(n−2)144

⇒(n−2)180

−(n−2)144

=180

⇒(n−2)(180

−144

)=180

⇒(n−2)(36

=180

⇒n−2=

36

180

​⇒n−2=5

⇒n=5+2=7

Hence, the polygon has 7 sides.

6 0
2 years ago
Read 2 more answers
Please could you help me with these questions! they would be quick
nalin [4]

Answer:

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5 0
3 years ago
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The diameter of a sphere is 4 centimeters.
ELEN [110]
The volume of a sphere refers to the number of cubic units that will exactly fill a sphere. The volume of a sphere can be found or calculate by using the formula V=4/3πr^3, where r represents the radius of the figure.

In this exercise is given that a sphere has a radius of 4 centimeters and it is asked to find its volume and use 3.14 as the value of π or pi. The first step would be substitute the values into the previous mention formula.

V=4/3πr^3
V=4/3(3.14)(4 cm)^3
V=4/3)(3.14)(64 cm^3)
V=267.9 cm^3
The volume of the sphere is 267.9 cubic centimeters.

7 0
3 years ago
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What is the equation of a line passing through (2, -1) and parallel to the line represented by the equation y = 2x + 1
iren2701 [21]
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4 0
3 years ago
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