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Answer: 14.60
Step-by-step explanation:
we have
14 3/5
This is a mixed number
we know that
A mixed number is a combination of a whole number and a fraction.
So
14 3/5 is equal to
14+3/5
where
14 is the whole number
3/5 is the fraction
3/5 = 0.60
14 + 3/5 = 14 + 0.60
therefore
= 14.60
the answer is
14.60
Answer:
166
Step-by-step explanation:
SA = 2lw** + 2lh +2hw
** It's 2 x l x w, not 21 x w (it looks like a 1, I know smhh)
l = 4
w = 7
h = 5
2*4*7 + 2*4*5 + 2*5*7 = 56 + 40 + 70
56 + 40 + 70 = 56 + 110
56 + 110 = 166
Given: <span>10g^2+33g=9-2g^2
Group the q^2 terms first, then the q terms, and finally the constants:
12g^2 + 33q - 9 = 0. Make sure you agree with this, or otherwise fix it.
Tools for solving quadratic equations include the following and more:
graphing
quadratic formula
completing the square
I've graphed this simplified quadratic on my TI-83 calculator and see that -3 seems to be a root. Let's check it!
________________
-3 / 12 33 -9
-36 9
---------------------
12 -3 0 Since the remainder is zero, -3 is a root and (x+3) is a factor. The other factors are 3 and (4x -1)
Then 3(4g-1)(g+3) = 0, with the result that g = 1/4 and g = -3.
Please check these roots by subst. into the original equation.</span>
Question:
Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.
Answer:
7.18 meters
Step-by-step explanation:
Given:
Length of rope, L = 4 m
Angle = 23°
Height of chair, H= 3.5 m
In this question, we are to asked to find the height of the pole of the swing ride.
Let X represent the height of the pole of the swing ride.
Let's first find the length of pole from the top of the swing ride. Thus, we have:
Substituting figures, we have:
Let's make h subject of the formula.
The length of pole from the top of the swing ride is 3.68 meters
To find the height of the pole of the swing ride, we have:
X = h + H
X = 3.68 + 3.5
X = 7.18
Height of the pole of the swing ride is 7.18 meters
