13°. The value of theta using right triangle Trigonometry is 13°.
The reasons for the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are: sine (sin), cosine (cos) and tangent (tan). These are defined for the acute angle θ as follows:
Sin θ = opossite leg/hypotenuse
Cos θ = adjacent leg/hypotenuse
Tan θ = opossite leg/adjacent leg
The easiest way to solve this proble is using the reason sin θ = opossite leg/hypotenuse, where opossite leg = 11, and hypotenuse = 58.
sin θ = 11/48
θ = sin⁻¹ (11/48)
θ = 13.25°
Round to the nearest degree θ = 13°
Answer:
x>-2 and x<1
Step-by-step explanation:

Now dividing by 4:

So, x is the value between -2 and 1, i.e. x has to be greater than -2 and smaller than 1
The amount Cindy should increase in each dimension of the scaled model is 12 m.
<h3>What is a rectangular prism?</h3>
It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
We have:
The scaled model of the container has dimensions 2m by 4m by 6m.
Volume of the scaled model = 2×4×6 = 48 cubic m
Let x be the amount by which each dimension is increased.
(2 + x)(4 + x)(6 + x) = 84(48)



The quadratic equation has no real solution so,
x = 12 m
Thus, the amount Cindy should increase in each dimension of the scaled model is 12 m.
Learn more about the rectangular prism here:
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Answer:
0.2196
Step-by-step explanation:
Given that
Mean = 4.56 million visitors per day
Standard deviation = 820,000 visitors per day
According to the given situation the calculation of probability is shown below:-
Here we will find the value of P (3 ≤ X ≤ 4)



= 0.2483 - 0.0287
= 0.2196
Therefore the probability that the web site has between 3 million and 4 million visitors in a single day is 0.2196
Expression 1 is 25
6*7-3^2*9+4^3
First simplify all the exponents to get 6*7 - 9 * 9 + 64 and then multiply the two numbers to get 42 - 81 + 64 and just add = 25
For expression 2, if you put the parantheses around (5+4)*2+6-2*2-1, it'll be 19
(5+4)*2+6-2*2-1
9*2+6-2*2-1
18+6-4-1
24-5
19
Remember order of operations