Answer:
-2
Step-by-step explanation:
do you need an walk through?
Answer:
35.06 meters
Step-by-step explanation:
This represents a right angled triangle.
The height of the kite above the ground represents the opposite side while the length of the string of the heather of the kite is the hypotenuse.
We need to find the hypotenuse, h.
We can use the sine part of the trigonometric function SOHCAHTOA:
sin(Ф) = opp / hyp
where opp is the side opposite the angle
hyp is the hypotenuse
=> sin(53) = 28 / h
h = 28 / sin(53)
h = 35.06 meters
The length of the string from the heather to the kite is 35.06 meters
Answer:
x = 65°
y = 71°
z = 44°
Step-by-step explanation:
- Reason: the angle x is opposite to the 65° angle, this means that these two angles are congruent, thus they have the same value.
- Reason: the angle y is congruent to the angle of 71 ° this because if we lengthened the lines (similar to that shown with the angles x and 65 °) we will notice that the angle opposite to y is 71 ° and therefore y is also equal to 71 °
- Workout the size of angle z:
The sum of the interior angles in a triangle is always equal to 180 °, in this case the interior angles are x, y and z. Since we already know the values of x and y, we can find z by adding the values and equaling 180°:
65° + 71° + z = °180
and we solve for z:
136° + z = 180°
z = 180° - 136°
z = 44°
Answer:
8.1% decrease
Step by step
To find precentage decrease we use formula:
Percent decrease= original amount-new amount/original amount(100%)
percent decrease= 7,400-6,800/7,400(100%)=300/37=8.1%
Answer:
y= -2/3x - 2 and y= -2/3x+2
Step-by-step explanation:
There are two standard forms given
1) 2x + 3y= -6
2) 2x + 3y = 6
Equation of a graphed line is written as y=mx+c
Step 1: Make y the subject on the left side. On the right side, make sure that x comes first.
1) 2x + 3y= -6
3y = -6 - 2x
y = <u>-6-2x</u>
3
y = -2x/3 - 2
2) 2x + 3y = 6
3y = 6 - 2x
y = <u>6-2x</u>
3
y = -2x/3 + 2
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