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Vikki [24]
2 years ago
15

15. Scott and Tara were asked to find the

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
5 0

Answer:

Both Scott and Tara have responded correctly.

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

A=(1/2)[b1+b2]h

we have

b1=16 cm

b2=24 cm

h=8 cm -----> <em>Note</em> The height is 8 cm instead of 18 cm

substitute

A=(1/2)[16+24](8)

A=160 cm²

<em>Verify Scott 's work</em>

<em>Note</em> Scott wrote A = (1/2)(24 + 16)(8) instead of A = 2(24 + 16)(8)

Remember that the Commutative Property establishes "The order of the addends does not alter its result"

so

(24+16)=(16+24)

A = (1/2)(24 + 16)(8)=160 cm²

<em>Verify Tara's work</em>

<em>Note</em> Tara wrote A = (1/2)(16+24)(8) instead of A = (16 + 24)(8)

A = (1/2)(16+24)(8)=160 cm²

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PolarNik [594]

Answer:

The correct options are 1, 3 and 4.

Step-by-step explanation:

We need to find the expressions whose simplified form is a rational number.

Rational number: If a number is defined in the form of p/q where p and q are integers and q≠0, then it is called a rational number.

For example: 0,2, 4.3 etc.

Irrational number: If a number can not defined in the form of p/q, where p and q are integers and q≠0, then it is called an irrational number.

First expression is

2\sqrt{9}\cdot \sqrt{4}=2(3)\cdot (2)\Rightarrow 6\cdot 2=12

12 is a rational number.

Second expression is

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4\sqrt{3} is an irrational number.

Third expression is

7\sqrt{3}\cdot \sqrt{3}\Rightarrow 7\cdot 3=21

21 is a rational number.

Fourth expression is

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5 is a rational number.

Therefore, the correct options are 1, 3 and 4.

4 0
2 years ago
Suppose that G(x)=F(x-6)-3. Which statement best compares the graph of G(x) with the graph of F(x)? Te graph of G(x) is the grap
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B
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gregori [183]
No


If two planes intersect each other, the intersection will always be a line. where r 0 r_0 r0​ is a point on the line and v is the vector result of the cross product of the normal vectors of the two planes.
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Option c: x=6 is a true solution and x=-6 is an extraneous solution.

Explanation:

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Dividing both sides of the equation by 2, we get,

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Simplifying,

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Using this definition, we have,

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