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dolphi86 [110]
3 years ago
6

What is the mechanical advantage of a ramp that is 5 m long and 1.5 m high

Mathematics
1 answer:
skad [1K]3 years ago
8 0
It would 7.5 meters long
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Help with 21 would be much appreciated.
umka2103 [35]

Answer:

\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

\dfrac{AD}{CD}=\dfrac{CD}{DB}

We have

AD=14-8=6\\CD=y\\DB=8

Substitute:

\dfrac{6}{y}=\dfrac{y}{8}         <em>cross multiply</em>

y^2=(6)(8)

y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}

For x use the Pythagorean theorem:

x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}

3 0
3 years ago
Jennie has 177 more songs downloaded on her mp3 player than Diamond. Together, they have 895 songs downloaded. What system of eq
mr_godi [17]
With the information given, we can set up the following system of equations:

x + y = 895
x - y = 177

x represents how many songs Jennie has, and y represents how many songs Diamond has.

6 0
3 years ago
Read 2 more answers
Please help with this questions. I’ve waisted over 100 points trying to get answers for one assignment just because the only peo
Scrat [10]
Y
-7
-4
-1
2
5

(X,Y)
(-2,-7)
(-1,-4)
(0,-1)
(1,2)
(2,5)
5 0
3 years ago
You have a jar of Marbles in front of you 2 are Cordovan, 9 are yellow, 3 are white and 7 are red. What is the probability, as a
liubo4ka [24]

Answer:

2/35

Step-by-step explanation:

Assuming that this is without replacement,

The total amount of marbles is 2+9+3+7, or 21.

9 are yellow, 3 are white. this makes 12.

The probability of selecting a white or yellow marble is 12/21.

Now without replacement (comment if it is with replacement.), there are 20 marbles left, and 2 are Cordovan. This means there is a 2/20 chance then of picking a Cordovan marble.

After multiplying the fractions we get

(12/21) * (2/20) = 2/35.

There is a 2/35 chance of selecting a yellow or white, then a cordovan marble.

4 0
3 years ago
Read 2 more answers
Please I need the polynomial for this problem, if you don’t know then don’t answer! Wrong answers will be reported
babymother [125]

Answer:

Area = (36π - 12πx + x²π) mm²

Step-by-step explanation:

Given that,

radius of lense = 6mm

Length from outer layer of pupil to lense = x mm

Radius of pupil = 6 - x mm

<h3>Formula to calculate area of pupil</h3><h3> Area = π r²</h3>

<em> where r is radius of pupil</em>

Area = π (6 -x)²

Area = π (6² -2(6)(x) + x²)

Area = π (36 -12x +x²)

Area = (36π - 12πx + x²π) mm²

So, the polynomial in standard form that represent the area of pupil in terms of π =  (36π - 12πx + x²π) mm²

5 0
3 years ago
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