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Studentka2010 [4]
2 years ago
14

A rectangle has a length of x and a width of 5x +4 - x2. Find the perimeter of the rectangle when the length is 5 feet.​

Mathematics
1 answer:
gulaghasi [49]2 years ago
3 0

Answer:

18 feet

Step-by-step explanation:

Perimeter = 2(length + width)

=> 2(x + 5x + 4 - x²)

=> 2(6(5) + 4 - (5)²)

=> 2(9)

=> 18 feet

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Suppose the path of a baseball follows the path graphed by the quadratic function ƒ(d) = –0.6d2 + 5.4d + 0.8 where d is the hori
GrogVix [38]

Answer:

The correct option D.

Step-by-step explanation:

The given function is

f(d)=-0.6d^2+5.4d+0.8

Where f(d) is the height of the ball at horizontal distance d.

Put f(d)=0, to find the distance where the ball touch the ground.

0=-0.6d^2+5.4d+0.8

Quadratic formula:

d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Using the quadratic formula we get

d=\frac{-5.4\pm \sqrt{(5.4)^2-4(-0.6)(0.8)}}{2(-0.6)}

d=-0.146,9.146

Therefore the ball is in air between d=-0.146 to d=9.146.

The distance can not be negative, therefore the ball remains in the air between d=0 to d=9.146.

9.146\approx 9.15

Therefore the correct option is D.

6 0
3 years ago
In FGH, mF = 65, mG = 55, and mH = 60. Which side of FGH is the shortest?
Brut [27]
Answer:
FH is the shortest side

Explanation:
In any triangle, the length of any side is proportional to the measure of its opposite interior angle.
This means that:
The shortest side is the side opposite to the smallest interior angle in the triangle
The longest side is the side opposite to the largest interior angle in the triangle

Now, in the given triangle we have:
measure angle F = 65°
measure angle G = 55°
measure angle H = 60°

We can note that angle G is the smallest angle.
Based on the above, the shortest side would be the one opposite to angle G which is side FH.

Hope this helps :)
5 0
3 years ago
I need this number in a mixed number
faust18 [17]

Answer: <u>34 11/12</u>

<u>Hope this helps!!!</u>

4 0
4 years ago
Leslie’s driveway is 45 meters long. About how many yards long is Leslie’s driveway?
frosja888 [35]

Answer:49.5 meters

Step-by-step explanation:

It is simply 45 x 1.1 for your answer

8 0
3 years ago
Please help answering questions 215 and 216.
kodGreya [7K]

Problem 215

Check out the attached image. Line up the letters ABC and CDE so the first set of letters are over the second set of letters. Order is important here. Note how A corresponds to C (second C), B corresponds to D, and (the first) C corresponds to E.

We have this mapping:

A <--> C

B <--> D

C <--> E

This means...

Angle BAC corresponds to Angle DCE (red angles)

Angle ABC corresponds to Angle CDE (blue angles)

Angle BCA corresponds to Angle DEC (green angles)

It also means...

Side BC corresponds to Side DE (red sides)

Side AC corresponds to Side CE (blue sides)

Side AB corresponds to Side CD (green sides)

Check out the attached image which I hope clears up any confusion you may have. Often I think it helps to represent stuff like this in a visual way.

============================================

Problem 216

Answer: True

Since triangle ABC is congruent to triangle DEF, this means that side AB is congruent to side ED. These are corresponding sides. Since AB = 6, this means ED = 6 as well.

8 0
3 years ago
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