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Bad White [126]
3 years ago
11

aaron wraps presents in a store. In one hour he wraps 8 games and one console. How much wrapping paper does Aaron use?

Mathematics
1 answer:
Goshia [24]3 years ago
6 0
I say the answer is 9 because he wrapped 8 games and 1 console and 8+1=9.
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Find the length of the shorter leg of a right triangle with the longer leg is 9 feet more than the shorter leg the hypotenuse is
Jobisdone [24]

Answer:

Length of Shorter leg = 27 feet

Length of Longer leg = 36 feet

Length of Hypotenuse = 45 feet

Step-by-step explanation:

Given:

Let,

    Length of Shorter leg = x,

According to the given condition we have

∴  Length of Longer leg = x + 9 feet

∴  Length of Hypotenuse = 2x - 9 feet

To Find:

Length of Shorter leg = ?

Solution:

Now In Right Angle Triangle, By Pythagoras theorem we have

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

substituting the given values we get

(2x-9)^{2} = (x)^{2}+(x+9)^{2}\\

By using Identity (A ± B)² = A² ± 2AB +B²  we get

4x^{2} -36x+81=x^{2} +(x^{2} +18x+81)\\\\4x^{2} -2x^{2} -36x-18x=81-81\\\\2x^{2} -54x=0\\2x(x-27)=0\\2x=0 or x-27=0\\\therefore x\ cannot\ be \ zero\\\therefore x = 27 \feet

Substituting x=27 we get

∴  Length of Longer leg = x + 9 =27 +9 = 36 feet

∴  Length of Hypotenuse = 2x - 9 = 2×27 -9 = 45 feet

7 0
3 years ago
The probability of rolling a 2 is 1/6 predict how many times a 2 will be rolled out of 30 rolls.
Anestetic [448]

Answer:

5 times

Step-by-step explanation:

Given that the probability of a 2 is \frac{1}{6} then number of times a 2 will be rolled is

30 × \frac{1}{6} = 5

5 0
3 years ago
Is finding a car's depreciation over a 10 year period considered as univariate or bivariate?
g100num [7]

Determining a car's depreciation over a ten year period is considered a bivariate.

<h3>What is a bivariate?</h3>

A Bivariate data is made up of two variables that are observed against each other. In determining the deprecation of a car, the cost of the car is observed against the passage of time and the depreciation factor.  

To learn more about depreciation, please check: brainly.com/question/25552427

#SPJ1

8 0
2 years ago
I need help ASAP!!<br>Mathematics​
Ilia_Sergeevich [38]

Answer:AGC and DGH are opposite angles.

Step-by-step explanation:

So, Y+10=3x-40

Y-3x=-50-(1)

3x-40=2x

3x-2x=40

x=40

Y-3x40=-50

y-120=-50

y=-50+120

y=70

Hence, the answer is A 70°

3 0
2 years ago
the midpoint is AB is M(3,-2). One endpoint is A(7,-9). Find the coordinates of the other endpoint B.
cestrela7 [59]

Answer:

<em>The required points of the given line segment  are ( - 1, - 5 ).</em>

Step-by-step explanation:

Given that the line segment AB whose midpoint M is ( 3, -2 ) and point A is ( 7, - 9), then we have to find point B of the line segment AB -

As we know that-

If a line segment AB is with endpoints ( x_{1}, y_{1} ) and  ( x_{2}, y_{2}  )then the mid points M are-  

<em>M = ( \frac{ x_{1} + x_{2} }{2} , \frac{ y_{1} + y_{2}  }{2}  )</em>

Here,

<em>Let A ( 7, - 9 ), B ( x, y ) with midpoint M ( 3, - 2 ) -</em>

then by the midpoint formula M are-

<em>( 3, - 2 )  = ( \frac{ 7 + x}{2} , \frac{ - 9 + y}{2} )</em>

On comparing x coordinate and y coordinate -

We get,

<em>( \frac{ 7 + x}{2} = 3  , \frac{ - 9 + y}{2}  = - 2)</em>

<em>( 7 + x = 6, - 9 + y = - 4 )</em>

<em>( x = 6 - 7, y = - 4 + 9 )</em>

<em>( x = - 1, y = -5 )</em>

<em>Hence the required points  A are ( - 1, - 5 ).</em>

<em>We can also verify by putting these points into Midpoint formula.</em>

<em />

8 0
3 years ago
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