Answer:
27°
Step-by-step explanation:
we have the 'opposite' as length 2 is opposite the angle θ
we have the adjacent (length 4) which is next to the angle θ
the hypotenuse is the longest side (we don't need)
Using SOHCAHTOA
we use TOA as O is opposite and A is adjacent
tanθ = opposite ÷ adjacent
tanθ = 2 ÷ 4
using the inverse sign to find θ
θ = tan⁻¹(2/4) = 27° (to the nearest whole degree)
The <em>correct answer</em> is:
2 pieces, with 1/12 m left over.
Explanation:
To find the number of 1/3 meter pieces she can cut from a 3/4 meter ribbon, we divide:
3/4÷1/3
To divide fractions, flip the second one and multiply:
3/4×3/1
To multiply fractions, multiply straight across:
(3*3)/(4*1) = 9/4
4 will go into 9 two times with 1 left over, so this simplifies to 2 1/4; this means she can cut 2 pieces this length.
2 pieces that are 1/3 meter long is a total of 2(1/3) = 2/3 m. To find out how much is left, subtract:
3/4 - 2/3
Common denominator is 12:
3/4 = 9/12 and 2/3 = 8/12
9/12 - 8/12 = 1/12
There is 1/12 of a meter left.
Answer:
The graph that represent direct variation in the attached figure
Step-by-step explanation:
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <em>and the line passes through the origin
</em>
The graph that represent direct variation in the attached figure
The answer is c
It which point is on the line 0,-5
