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crimeas [40]
3 years ago
8

( BRAINLIEST QUEATION)

Mathematics
1 answer:
mr Goodwill [35]3 years ago
3 0

Answer:

Step-by-step explanation:

Weight decreased = 108 - 88 =  20 Kg

Percentage decrease = \frac{20}{108}*100

                   = 18.52%

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23/10 as a decimal pleas help now
Arlecino [84]

Answer:

2.3

Step-by-step explanation:

To convert a fraction to a decimal you must divide the numerator by the denominator. By doing so, you receive the decimal of 2.3

7 0
4 years ago
Read 2 more answers
Question 9
Alenkasestr [34]

Answer:

PX=4\\PY=4\sqrt{3}

Step-by-step explanation:

Let \angle PYZ=Q

\Rightarrow \angle XYP=90-\angle PYZ\\\angle XYP=90-\theta

In the \Delta PYZ

\tan\theta =\frac{opposite}{adjacent}=\frac{PZ}{PY}......(1)

In the \Delta YPX

\tan(90-\theta)=\frac{opposite}{adjacent}=\frac{PX}{PY}

\cot=\frac{PX}{PY}....(2)

eqn(1)\times eqn(2)

\tan\times\cot\theta=\frac{PZ}{PY}\times\frac{PX}{PY}\\\\1=\frac{PZ\times PX}{PY^2}\ \ (as\ tan\theta\ =\frac{1}{\cot\theta})\\\\PY^2=PZ\times PX\\PY^2=12PX.......(3)

Now in \Delta XYP

use Pythagorean theorem

XY^2=PY^2+PX^2\\8^2=PY^2+PX^2\ \ (as\ XY\ =8)\\PX^2+PY^2=64\\\\PY^2=12PX\ \ (eqn(3)\\\\\Rightarrow PX^2+12PX=64\\\\PX^2+12PX-64=0\\\\PX^2+16-4PX-64=0\\\\(PX+16)(PX-4)=0\\\\PX=4,\ -16

Length can not be negative

Hence PX=4

PY^2=12PX=12\times4=48\\\\PY=\sqrt{48}=4\sqrt{3}

Hence PX=4,\ PY=4\sqrt{3}

8 0
3 years ago
the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer
Alinara [238K]

Answer:

45.05 seconds

Step-by-step explanation:

Use the formula: d = vi t + \frac{1}{2} at^{2}

d = distance      vi = initial velocity (m/s)    

t = time (s)     a = acceleration (m/s^{2})

m is meters and s is seconds. They are units of measurement so leave them be.

Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.

The distance is 725 feet, which is 220.98 meters.

The acceleration is 9.81m/s^{2} since that is the acceleration of Earth's gravity, aka free fall.

Time is what we are trying to find so just leave it as the variable t.

So plug the values into the equation:

220.98m = (0)(t) + \frac{1}{2} (9.81m/s^{2})(t)

220.98m = (4.905m/s^{2})(t)

45.0519877676s = t

t = 45.05s

Remember to pay attention to units because your answer will be wrong otherwise

7 0
2 years ago
Find the length of the shortest leg of the 30-60-90 triangle is the ___the length of th hylotensuse
strojnjashka [21]
The shortest leg of a 30 60 90 triangle equals the length of the hypotenuse divided by 2.
Source:http://www.1728.org/trig2.htm



3 0
3 years ago
Is synthetic division the same as polynomial division?
Elena-2011 [213]

The synthetic division is not same as the polynomial long division.

Given:

Let's take a polynomial function f(x) = x^3+2x^2-5x-6 divided by x-2.

Using synthetic divison:

2    1     2     -5     -6

     0    2      8      6

     1     4      3      0

(x-2)(x^2+4x+3)

= (x-2)(x+3)(x+1)

Polynomial long division:

x-2)x^3+2x^2-5x-6 (x^2+4x+3

     x^3- 2x^2

            4x^2 - 5x + 6

            4x^2 - 8x

                       3x + 6

                       3x - 6

                         0

=(x-2)(x^2+4x+3)

Learn more about the division here:

brainly.com/question/21416852

#SPJ4

8 0
1 year ago
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