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allsm [11]
4 years ago
11

1) Shannon and Kristoph are dividing numbers written in scientific notation.

Mathematics
1 answer:
mihalych1998 [28]4 years ago
5 0

Answer:

<h3>(A)</h3>

The answers will have the same value, beacuse both scientific notations have the same coefficient, 4.2 and 1.4. Also, if you mentally subtract the exponents of those powers, you would have the same exponent. So, equal coefficient and equal exponent will give the same result.

<h3>(B)</h3>

The value of each expression can be found by dividing coefficients and powers.

\frac{4.2 \times 10^{9} }{1.4 \times 10^{4} }=3 \times 10^{9-4} = 3 \times  10^{5}

<h3>(C)</h3>

The value of each expression in standard form is

3 \times 10^{5}=300,000

Remember that standard form refers to the number without the ten-power.

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Answer:

2) ABCD is  a RECTANGLE.

Perimeter  =  30 units

Step-by-step explanation:

Here, the given points of the quadrilateral are:

A(6, –4), B(11, –4), C(11, 6), D(6, 6)

Now, if P(a,b) and Q(c,d) are any two given points, then the distance between them is given by DISTANCE FORMULA as:

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Use this to find the length of all 4 sides:

AB with coordinates A(6, –4), B(11, –4)  is given as:

AB = \sqrt{(11-6)^2 + (-4-(-4))^2} =  \sqrt{(5)^2 + 0} = 5

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BC with coordinates B(11, –4), C(11, 6)  is given as:

BC = \sqrt{(11-11)^2 + (6-(-4))^2} =  \sqrt{(0)^2 + 10^2} = 10

⇒ BC = 10 units

CD with coordinates C(11, 6), D(6, 6)  is given as:

CD = \sqrt{(11-6)^2 + (6-6)^2} =  \sqrt{(5)^2 + 0} = 5

⇒ CD = 5 units

AD with coordinates A(6, –4),D(6, 6)  is given as:

AD = \sqrt{(6-6)^2 + (-4-(-4))^2} =  \sqrt{(0)^2 + 10^2} = 10

⇒ AD = 10 units

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Also, in a RECTANGLE, OPPOSITE SIDES ARE EQUAL IN LENGTH.

Hence, ABCD is  a RECTANGLE.

Perimeter  = AB + BC+ CD  + AD = 5 + 10 + 5 + 10 = 30 units

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