Option 1. The equation that represents the direct variation that exists between a and b is b = –a.
<h3>How to find the direct variation here</h3>
The direct variation is of this form y ∝ x
This gives the equation
y = kx
The constant is k
From our question we have
b ∝ a so b = ka
b = 
a = 
Remember that b = ka
This would cancel out to
1 = -k
or k = -1
Hence the equation would be written as
b = -a
Read more on direct variation here:
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length of the slide is lets say 'l' the height (h) opposite to the angle 28 is found by h=l*sin28 where sin28=0.47 approximately h=4.5*0.47 h=2.115m
Answer:
The value of g in the relative frequency table is 33%.
Step-by-step explanation:
We are given the following information; A 4-column table with 3 rows. The first column has no label with entries likes A, B, total. The second column is labeled C with entries 20%, 32%, 51%. The third column is labeled D with entries g, 16%, 49%. The fourth column is labeled total with entries 53%, 47%, 100%.
Representing the above information in tabular form, we get;
C D Total
A 20% g 53%
B 31% 16% 47%
Total 51% 49% 100%
Now, after seeing the whole table, it is clear that value of g is given by;
20% + g = 53%
g = 53% - 20%
g = 33%
Hence, the value of g in the relative frequency table is 33%.
Answer:
A
Step-by-step explanation:
Given
5x + 6 - 2 = 9, that is
5x + 4 = 9 ( subtract 4 from both sides )
5x = 5 ( divide both sides by 5 )
x = 1 → A
Answer:
135.39
Step-by-step explanation:
The solid consist of 4 triangles and a 5 rectangles.
Formula to calculate area of triangle is
1/2 (height) (base)
Formula to calculate area of rectangle is
length x width
so
Total surface area of the composite solid is
2( 4(4) + 6(4) + 1/2(√13)(4) + 1/2(2√2)(6) ) + 6(4)
111.39 + 24
135.39
