Answer:
<em>The work done by the force is 42.4 Joules</em>
Step-by-step explanation:
The force F = 7 pounds
angle to the horizontal that the force acts ∅ = 30°
The object is moved a distance d = 7 feet
The coordinate (0 comma 0 )to (7 comma 0 ), indicates that the movement started from the origin, and is along the x-axis.
The work done by this force = F cos ∅ x d
==> 7 cos 30° x 7
==> 7 x 0.866 x 7 =<em> 42.4 Joules</em>
Answer:
74.1 units²
Step-by-step explanation:
Area of the trapezoid shown = ½×(AD + BC)×BE
Use distance formula, 
to find AD, BC, and BE.
✍️Distance between A(-9, 4) and D(9, 1):
(nearest tenth)
✍️Distance between B(-4, -3) and C(2, -4):
(nearest tenth)
✍️Distance between B(-4, -3) and E(-3, 3):
(nearest tenth)
✔️Area of the trapezoid:
Area = ½×(AD + BC)×BE
Plug in the values into the formula
Area = ½×(18.2 + 6.1)×6.1
Area = ½×(24.3)×6.1
Area = 74.115 ≈ 74.1 units² (nearest tenth)
Answer:
Answer is D
Step-by-step explanation:
Initially the number of rose bushes are 18 and number of holly bushes are 6.
<h3>What is linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose initially the number of rose bushes is x and number of holly bushes is y
x = 3y …(1)
Then I moved seven of my rose bushes to my grandfather’s garden:
= (x - 7)
Planted 11 new holly bushes in my garden:
= (y + 11)
x - 7 = y + 11 - 6
x - y = 12 ...(2)
After solving equation (1) and (2):
x = 18
y = 6
Thus, initially the number of rose bushes are 18 and number of holly bushes are 6.
Learn more about the linear equation here:
brainly.com/question/11897796
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