ii) the area of the field
Step-by-step explanation:
Breadth = 8m
Length = 8m + 4m = 12m
Area of the rectangle = length × breadth, 12m × 8m = 96m square.
cosine of 3 times pi over 10
sine of 7 times pi over 10
sine of 3 times pi over 10
(The clear version of the question is in the picture below)
Answer:
(b) cos(3π/10)
Step-by-step explanation:
The given expression matches the trig identity form for the cosine of the difference of two angles:
cos(α-β) = cos(α)cos(β) +sin(α)sin(β)
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To match the given expression exactly, we can choose ...
α = π/2
β = π/5
Then the difference is ...
α -β = π/2 -π/5 = (5/10)π -(2/10)π = 3π/10
The given expression can be shortened to ...
cos(3π/10)
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Additional comment
Sometimes it can be difficult to remember when the signs in trig identities match, and when they differ. The fact that cosines of smaller angles have larger values can be a peg on which to hang that hat.
The expression 'cosine of pi over 2 times cosine of pi over 5 plus sine of pi over 2 times sine of pi over 5'' can be rewritten as 'cosine of 3 times pi over 10' by using the cosine addition formula.
The question is related to the usage of trigonometric identities and laws, specifically the cosine addition formula. This formula is defined as: cos(a + b) = cos a cos b - sin a sin b. Looking at your original expression, we can identify a and b based on this definition, to make it align with the cosine addition formula structure. Let's pick a = pi/2 and b = pi/5.
Therefore, your original equation can be transformed as follows:
cos(pi/2)cos(pi/5) + sin(pi/2)sin(pi/5) = cos((pi/2) - (pi/5)) = cos(3pi/10).
So, the expression 'cosine of pi over 2 times cosine of pi over 5 plus sine of pi over 2 times sine of pi over 5' can be rewritten as 'cosine of 3 times pi over 10.' We have used the cosine addition formula to simplify the original expression.
#SPJ3
Answer:
y = 1/4
Step-by-step explanation:
y⁻⁴ = 256
(1/y)⁴ = 256
y⁴ = 1/256
y = ⁴√1/256
y = 1/4
Thus,The value of y is 1/4
-TheUnknownScientist
The value of y for the equation y⁻⁴ = 256 is 4. This is found by calculating the 4th root of 256, or taking the square root of the square root of 256.
To solve for the value of y when y⁻⁴ = 256, firstly, you need to restate equation as the 4th root of 256 equals y.
The 4th root of 256 can easily be found by taking the square root of the square root of 256 (or simply using a calculator equipped with the root function).
When you do this, you find that the 4th root of 256 = 4. Therefore, y = 4.
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b. 7
c. 8
c. 9
Box-and whisker plot titled Temperatures in Celsius ranging from 12 to 48 with the five number summary from left to right 18, 25, 28, 33, and 42
The planes ABFE and EFGH intersected by line EF.
A prism is a polyhedron in geometry made up of an n-sidedpolygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.
We have cuboidal prism which have faces ABFE and EFGH.
To find the point for intersecting we have to find a point or line which is common in both planes.
Here the point E and F are common.
But the plane EF is also common
Thus, the intersecting line is line EF.
Learn more about Prism here:
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Answer:
Line EF
Step-by-step explanation:
Planes intersect at lines
a)
1 2 3 4 5 6
b)
0 1 2 3 4 5 6
C)26
O i 2 3 4
D)5
0 1 2
3 4 5
6
A
B
оооо
С
D