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1 answer:
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A simple algebraic equation can be utilized to solve this question. Ayana needs yards of blue fabric for each scarf.
Step-by-step explanation:
Step 1; Assume the amount of purple fabric to be x for each scarf and the amount of blue fabric required for each scarf to be y. It says a total of six scarves are needed. It is given that a total of 10 yards of fabric is used i.e. the total of purple fabric and the blue fabric. So we can create an equation for this. As 6 scarves are needed we substitute x and y as 6x and 6y.
Total fabric used= 6x + 6y = 10 yards.
Step 2; It is given that for each and every scarf 1 yards of purple fabric is needed. So for 6 scarves a total of 6 * 1
yards is needed. So 6x becomes 6 * 1
yards.
6x = 6 * 1 yards = 6 *
=
yards of purple fabric.
Step 3; Now we solve for the amount of blue fabric needed.
6y = 10 - =
=
But the yards is for 6 scarves to we divide it by 6 to get the material needed for a single scarf
y = /6 =
*
=
=
yards = 0.4166 yards of blue fabric for each scarf.
Answer:
The measure of angle N to the nearest degree is 28 degrees
Step-by-step explanation:
To answer this question, we shall be needing a diagrammatic representation of the triangle. Please check attachment for this.
To calculate the angle N, we shall be making use of trigonometric identities. From the diagram we see that we have the hypotenuse ( the longest side and the side facing the angle 90) and also the opposite ( the side facing the angle N)
Thus, the correct trigonometric identity to use here is the Sine
Mathematically, the sine of an angle = length of the opposite/length of the hypotenuse
Our opposite here is 4.2 feet with our hypotenuse as 9 feet
Plugging these values, we have
Sin N = 4.2/9
Sin N = 0.46666667
N = arc sin (0.46666667)
N = 27.82 , to the nearest degree we have 28 degrees
