Answer:
y = (5/9)x + 2
Step-by-step explanation:
Slope intercept form is
y = mx + b then plug in the values
y = (5/9)x + 2
<span>A whole number greater than 1 could be 2,3,4,5... And so on. A fraction greater than 1 is any fraction where the top number (numerator) is greater than the bottom number (denominator) for example 7/5</span>
Angle 3 is equal to angle 5 because of vertical angles.
The value of x is 0.65
<u>Step-by-step explanation:</u>
This solution is given by solving the given problem using BODMAS rule.
This means that the steps to be followed to find the solution should be in the order of BODMAS rule.
B- Bracket, O- of, D- Division, M- Multiplication, A- Addition, S- Subtraction.
This rule states that the 1st operation must be done for Brackets.
⇒ -3.75+2(-4x+6.1)-3.25 = 0
⇒ -3.75 -8x + 12.2 -3.25 = 0
The addition operation should be performed next and then followed by subtraction.
⇒ -8x -7+ 12.2 = 0
<u>To find the value of x :</u>
Keeping the x term alone on one side and moving the constants on other side,
⇒ -8x = -12.2 + 7
⇒ -8x = -5.2
⇒ x = 5.2/8
⇒ x = 0.65
<span>(A) Find the approximate length of the plank. Round to the nearest tenth of a foot.
Given that the distance of the ground is 3ft.
In order to get the length of the plank,
we can use the this one.
cos 49 = ground / plank
cos 49 = 3 / plank
plank = cos 49 / 3
plank = 0.10 ft
</span><span>(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
</span><span>
The remaining angle is equal to
angle = 180 - (90+49)
angle = 41
Finding the height.
tan 41 = height / ground
tan 41 = height / 3
height = tan 41 / 3
height = 0.05 ft.
(A) 0.10 feet
(B) 0.05 feet</span>