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stealth61 [152]
3 years ago
13

I swear to god this is urgent:

Mathematics
1 answer:
Illusion [34]3 years ago
6 0

the​ line-of-sight distance from the television camera to the base of the stadium​ is 1449.28 m .

<u>Step-by-step explanation:</u>

A blimp provides aerial television views of a baseball game. The television camera sights the stadium at a 12° angle of depression. The altitude of the blimp is 300 m. We need to find What is the​ line-of-sight distance from the television camera to the base of the stadium​ . Let's find out:

According to question , given scenario is in a right angle triangle where

Perpendicular=300\\Hypotenuse=?\\x=12 , where x is angle of depression.

We know that sinx= \frac{Perpendicular}{Hypotenuse}

⇒  sin12= \frac{300}{Hypotenuse}

⇒  Hypotenuse= \frac{300}{Sin12}

⇒  Hypotenuse= \frac{300}{0.207}

⇒  Hypotenuse= 1449.28m

Therefore , the​ line-of-sight distance from the television camera to the base of the stadium​ is 1449.28 m .

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Compare the given dimensions of four triangles. Which triangle is possible to construct? side lengths of 5 ft, 12 ft, and 13 ft
kobusy [5.1K]
(5,12,13) is a right triangle and can be constructed.
All the others do not satisfy the triangle inequality, i.e. the sum of two short sides must exceed the long side in order for the triangle to be constructed.
Examples:
2+11<15, so no
3+7<11, so no
4+8<15, so no
but 5+12>13  so yes, it can be constructed.
7 0
3 years ago
Read 2 more answers
Write the equation in slope-intercept form of the line that has a slope of -7/8 and contains the point (-4, 9).
lubasha [3.4K]

Answer:

The equation of the line is y = -7/8x + 11/2

Step-by-step explanation:

Since we have the slope and a point to start, we can use point-slope form to find the equation.

y - y1 = m(x - x1)

Use the slope for m and the point at (x1, y1). Then solve for y.

y - 9 = -7/8(x + 4)

y - 9 = -7/8x - 7/2

y = -7/8x + 11/2

6 0
3 years ago
uppose we want to build a rectangular storage container with open top whose volume is $$ cubic meters. Assume that the cost of m
Ainat [17]

Answer:

a = length of the base = 2.172 m

b = width of the base = 1.357 m

c = height = 4.072 m

Step-by-step explanation:

Suppose we want to build a rectangular storage container with open top whose volume is 12 cubic meters. Assume that the cost of materials for the base is 12 dollars per square meter, and the cost of materials for the sides is 8 dollars per square meter. The height of the box is three times the width of the base. What’s the least amount of money we can spend to build such a container?

lets call a = length of the base

b = width of the base

c = height

V = a.b.c = 12

Area without the top:

Area = ab + 2bc + 2ac

Cost  = 12ab + 8.2bc + 8.2ac

Cost = 12ab + 16bc + 16ac

height = 3.width

c = 3b

Cost = 12ab + 16b.3b + 16a.3b = 12ab + 48b² + 48ab = 48b² + 60ab

abc = 12 → ab.3b = 12 → 3ab² = 12 → ab² = 4 → a = 4/b²

Cost = 48b² + 60ab = 48b² + 60b.4/b² = 48b² + 240/b

C(b) = 48b² + 240/b

C'(b) = 96b - 240/b²

Minimum cost: C'(b) = 0

96b - 240/b² = 0

(96b³ - 240)/b² = 0

96b³ - 240 = 0

96b³ = 240

b³ = 240/96

b³ = 2.5

b = 1.357m

c = 3b = 3*1.357 = 4.072m

a = 4/b² = 2.172m

6 0
3 years ago
Which has no real roots?
Alexxandr [17]

bruh where the problom tho

4 0
3 years ago
Find the GCF of the monomials: 32x^2 and 24x^2y
aev [14]

Answer:

8x^2

Explanation:

First, do prime factorization of each of the coefficients:

32   ⇒   2^5

24   ⇒   2^3, 3

The greatest common factor (GCF) of the coefficients is 2^3 = 8.

Next, find the GCF of the variables:

x^2

x^2, y

The GCF of the variables is x^2.

Finally, multiply the GCF of the coefficients by the GCF of the variables to get:

8x^2

4 0
2 years ago
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