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Vlad [161]
3 years ago
13

New York City gift shop sells miniature Statue of Liberty sculptures that are 7.8 inches tall. the scale of the model to the act

ual statue is 1:232. what is the height of the actual statue to the nearest foot?
Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
8 0
The correct answer is 151
IRISSAK [1]3 years ago
5 0

Answer:

151 ft

1000% correct I just took the quiz

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<img src="https://tex.z-dn.net/?f=%20express%20%5C%3A%20%20%5C%3A%20%5Csin%282x%29%20%20-%20%20%5Csqrt%7B3%7D%20%20%5Ccos%282x%2
gizmo_the_mogwai [7]

Answer:

α = π/3

γ = 2

x = -3π/4, -5π/12, π/4, 7π/12

Step-by-step explanation:

Easiest way to do this is in reverse.

γ sin(2x − α)

Angle sum/difference formula:

γ (cos α sin(2x) − sin α cos(2x))

Distribute:

γ cos α sin(2x) − γ sin α cos(2x)

Matching the coefficients:

γ cos α = 1

γ sin α = √3

Solve the system of equations.  Divide to eliminate γ:

tan α = √3

α is between 0 and π/2, so:

α = π/3

γ = 2

sin(2x) − √3 cos(2x) = 1

Using the identity from before:

2 sin(2x − π/3) = 1

Solving:

sin(2x − π/3) = 1/2

2x − π/3 = π/6 + 2kπ or 5π/6 + 2kπ

2x = π/2 + 2kπ or 7π/6 + 2kπ

x = π/4 + kπ or 7π/12 + kπ

x is between -π and π, so:

x = -3π/4, -5π/12, π/4, 7π/12

7 0
3 years ago
A rhombus has sides 11cm long the shorter diagonal of the rhombus is 8cm long find the size of the smaller angles of the rhombus
ZanzabumX [31]

Answer:

42.64°

Step-by-step explanation:

Note: A rhombus has all its sides equal, its opposite angle are equal, its  has bigger and smaller diagonal, diagonal bisect the angles and diagonal bisect each other.

From the diagram attached,

sinθ = opposite/adjacent

sinθ  = 4/11

θ = sin⁻¹(4/11)

θ = 21.32

Therefore, from the diagram,

The smaller angle of the rhombus = 2θ

The smaller angle of the rhombus = (2×21.32)

The smaller angle of the rhombus = 42.64°

8 0
2 years ago
8×40= partial products
FinnZ [79.3K]
The partial products are 4x80 and that's all because in the ones it has no actual digit
3 0
2 years ago
Find the average rate of change for the given function from x=-1 to x=2.
ICE Princess25 [194]
I would say its A but I'm not 100%
3 0
3 years ago
Read 2 more answers
If the gradient of a line joining the points (-2, 6) and (5, b) is 14.<br> Find the value of b.
babunello [35]

Answer:

b = 104

Step-by-step explanation:

Slope is expressed as;

m = y2-y1/x2-x1

14 = b - 6/5-(-2)

14 = b - 6/5+2

14 = b-6/7

Cross multiply

b-6 = 14 * 7

b - 6 = 98

b  = 98 + 6

b = 104

3 0
3 years ago
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