3 years ago

1. A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist

Mathematics

1 answer:

nika2105 [10]3 years ago

3 0

Answer:

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Step-by-step explanation:

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Find the length of midsegment YZ in trapezoid ABCD when A(-5,-6) B(-6,-2) C(-4,0) and D(3,2)

Luda [366]

Answer:

Option C

Step-by-step explanation:

Since, Y and Z are the midpoints of sides AB and CD of the given trapezoid.

Segment YZ will the midsegment of trapezoid ABCD.

By the theorem of midsegment,

m(YZ) = $\frac{1}{2}(AD+BC)$

By using expression for the length of a segment between two points,

Length of a segment = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between two points A(-5, -6) and D(3, 2),

AD = $\sqrt{(3+5)^2+(2+6)^2}$

AD = $\sqrt{64+64}$

AD = $\sqrt{128}$

AD = $8\sqrt{2}$

Distance between B(-6, -2) and C(-4, 0)

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

BC = $\sqrt{8}$

BC = $2\sqrt{2}$

Therefore, m(YZ) = $\frac{1}{2}(8\sqrt{2}+2\sqrt{2})$

= $\frac{1}{2} (10\sqrt{2})$

= $5\sqrt{2}$

Option C will be the answer.

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3 years ago

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the clock below is in the shape of a regular pentagon.what is x , the degree measure that the bottom side of the clock makes wit

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<span>If the clock below is in the shape of a regular pentagon, then the x and the degree measure that the bottom side of the clock makes with the surface of the table is 72 degree. The correct answer to the following given statement above is 72 degree.</span>

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Your running speed is 8.5 miles per hour. A greyhound dog's speed is about 4.5 times faster than yours. What is the dog's speed?

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Step-by-step explanation:

8.5*4.5=38.25 MPH

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