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Citrus2011 [14]
3 years ago
11

What is the area of the trapezoid with height 10 units? Enter your answer in the box. units2 A rectangle with a length of 5 and

a height of 10 has two triangles on each side of it with long leg lengths of 12.
Mathematics
2 answers:
Novay_Z [31]3 years ago
4 0
170 Units2
That's the answer. 
Brainliest, please! :)

<3 <3 <3 <3
LenaWriter [7]3 years ago
3 0
If by "long leg lengths" you mean the hypotenuse then the area is 116 sq. units.  If you mean the bases of the triangles then the area is 170 sq. units.

If the length of 12 is the hypotenuse, we first must find the base of the triangles using the Pythagorean theorem:

10² + b² = 12²
100 + b² = 144
b² = 44
b = √44 = 6.6

This means we have two triangles and a rectangle.  The area of the rectangle is 5(10) = 50 sq. units.  The area of each triangle is 1/2(6.6)(10) = 33.  Adding all 3 together we have:

50+33+33 = 116 sq. units.

If the 12 is the base, then we have the rectangle with the area of 5(10) = 50 and two triangles each with an area of 1/2(12)(10) = 60:

50+60+60 = 170 sq. units.
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Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method.
maks197457 [2]

Answer:

D = 0 , Dx = 4 , Dy = -6 , Dz = 2

Step-by-step explanation:

As per<u> cramer's rule</u>,

D = |   7    6    4  |  = 0

      |   3    3    3  |

      |   4    4    4  |

Dx =  |  10    6    4  | = 4

        |   1    3    3    |

        |   2    4    4   |

Dy = |   7    10    4  | = -6

       |   3    1     3   |

       |   4    2    4   |

Dz =  |  7    6    10 | = 2

        |   3    3    1   |

        |   4    4    2  |

   

7 0
3 years ago
Gabrielle's age is three times Mikhail's age. The sum of their ages is 20. What is Mikhail's age?
PtichkaEL [24]

Answer:

Mikhail is 5 years old

Step-by-step explanation:

Represent each member with a variable.

X= Gabrille

Y=Mikhail

X+Y=20 (sum of their ages is 20)

X=3y (Gabrille is 3 times Mikhails age)

Substitute 3Y into the first equation (simultaneous equation)

. 3y+y=20

. 4y=20 (divide both sides by 4)

y=5

To check your answer.

X+5=20

X=20-5

X=15

15 is 5 times 3.

4 0
2 years ago
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Bas_tet [7]

Answer:

im not sure

Step-by-step explanation:

7 0
2 years ago
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Dmitrij [34]

Answer:

3:5

Step-by-step explanation:

Rewrite this as a fraction to see easier:

\frac{36}{60}

You can divide both numbers by 12, the GCF:

\frac{36}{60}= \frac{3}{5}

Rewrite as a ratio:

3:5

<em>Finito.</em>

<em />

Make 36:60 equivalent to _:50

With the simplified version of 36:60, 3:5, Multiply both sides by ten to get 5 to 50:

3*10:5*10\\30:50

Done.

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3 years ago
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