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enot [183]
3 years ago
10

The lines shown below are parallel. If the green line has a slope of 8, what is

Mathematics
1 answer:
True [87]3 years ago
8 0

Answer:

Since they are parallel they have the same slope so they both have a slope of 8.

Step-by-step explanation:

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a rectangular prism 1/4 centimeter long, 4 centimeters wide, and 1/2 centimeter high. What is the volume, in cubic centimeters,
Hoochie [10]

Answer:

0.5cm^3

Step-by-step explanation:

volume of rectangular prism= length x width x height

1/4cm x 1/2cm x 4cm =

0.25cm x 0.5cm x 4cm =

0.5cm^3

7 0
3 years ago
I marked all 3 parts. I need to know part C (the shaded part). anybody mind helping?​
Mnenie [13.5K]

Answer:

Area of shaded part ABCEF = 66 sq.cm

Step-by-step explanation:

AB = 8cm

CD = 8cm

Let DE = x cm

CE = 3x cm

CD =  CE + DE = 8cm

        x + 3x = 8

4x = 8

x = 8/4 = 2 cm

DE = 2cm

CE = 3 * 2 = 6 cm

Area of triangle ADE = 1/2 * base * height

                                   = 1/2 * DE * AD

                                    = 1/2 * 2 * 11 = 11 sq. cm

Area of triangle AEF = Area of triangle ADE = 11 sq. cm

Area of Rectangle ABCD =  l * b = 8 * 11 = 88 sq.cm

Area of shaded part ABCEF =  Area of Rectangle ABCD - (Area of triangle AEF + Area of triangle ADE)

    = 88 - ( 11 + 11 )  = 88 -22 = 66 sq.cm

6 0
3 years ago
Explain how to find the area of an enlarged polygon if you know the area of the original polygon and the scale factor of the enl
julia-pushkina [17]
Yo just need to multiply  area to that scale factor,
5 0
3 years ago
Read 2 more answers
The ratio of male teachers to female teachers in a school is 1 to 5. If there are 60females teachers how many male teachers are
ANTONII [103]

Answer:

There are 12 male teachers.

Step-by-step explanation:

Ratio of male teachers to female teachers in a school is 1 to 5.

For every 1 male teacher, there is one female teacher.

There are 60 female teachers.

Divide 60 by 5 = 12.

12 times 1 = 12

There are 12 male teachers.

3 0
3 years ago
Simplify 2√2-√3<br> ---------------<br> √2+√3
serious [3.7K]

Step-by-step explanation:

=  \frac{2 \sqrt{2}   -  \sqrt{3} }{ \sqrt{2} +  \sqrt{3}  }

=  \frac{2 \sqrt{2} -  \sqrt{3}  }{ \sqrt{2} +  \sqrt{3}  }  \times  \frac{ \sqrt{2} -  \sqrt{3}  }{ \sqrt{2} -  \sqrt{3}  }

= \frac{ 2( \sqrt{2}  -  \sqrt{3} )( \sqrt{2}  -  \sqrt{3} )}{ { \sqrt{2} }^{2} -  { \sqrt{3} }^{2}  }

=  \frac{2(2 -  \sqrt{6}  -  \sqrt{6} - 3) }{2 - 3}

=  \frac{2( - 1 - 2 \sqrt{6} )}{ - 1}

=  \frac{ - 2(1 + 2 \sqrt{6} )}{ - 1}

= 2(1 + 2 \sqrt{6} )

= 2 + 4 \sqrt{6}

6 0
2 years ago
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