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wariber [46]
3 years ago
10

Point M is the midpoint of AB¯¯¯¯¯¯¯¯. Find the length of AB¯¯¯¯¯¯¯¯.

Mathematics
1 answer:
alina1380 [7]3 years ago
6 0

Answer:

AB = 142

Step-by-step explanation:

If M is the midpoint, then AM = MB

6x+5 = 7x -6

Subtract 6x from each side

6x-6x+5 = 7x-6x -6

5 = x-6

Add 6 to each side

5+6 = x-6+6

11=x

We want to find AB

AB = 6x+5+7x-6

AB = 13x -1

     = 13(11) -1

     =143-1

     = 142

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Bacteria vary somewhat in size, but a diameter of 1.5 μ m is not unusual.
Dmitrij [34]

Answer:

a) 1.8 × 10^-12 cm³ or 1.8 × 10^-12 cubic meters

b) 7.1 × 10^-6 mm² or 7.1 × 10^-6 square millimeters

Step-by-step explanation:

a) We are assuming that the shape of the bacteria is a sphere.

Hence, Volume of the Sphere(Bacteria) = 4/3 × π × r³

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the volume should be in cubic centimeters

Converting 0.75μm to centimeters

1 μm = 1 × 10^-4 cm

0.75 μm =

Cross Multiply

= 0.75 μm × 1 × 10^-4 cm/ 1 μm

= 0.000075cm

Volume of the Sphere(Bacteria) = 4/3 × π × r³

= 4/3 × π × (0.000075)³

= 1.767145867 × 10^-12 cm³

Approximately as 2 significant figures = 1.8 × 10^-12 cm³

b) The formula for the Surface area of a Sphere = 4πr²

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the surface area should be in square millimeters

Converting 0.75μm to millimeters

1 μm = 0.001 mm

0.75 μm =

Cross Multiply

= 0.75 μm ×0.001mm/ 1 μm

= 0.00075mm

Surface Area of a Sphere

= 4 × π × r²

= 4 × π × 0.00075²

= 7.06858 ×10^-6 mm²

Approximately to 2 significant figures

= 7.1 × 10^-6 mm²

6 0
3 years ago
Choose the expression that best represents the product of the width and the height
nexus9112 [7]
The length of a rectangle is 12 inches more than its width. What is the width of the rectangle if the perimeter is 42 inches?

x best represents .

x + 12 best represents
6 0
3 years ago
What's 15% off $17.98
erastova [34]
Your answer is $15.28.

I hope that this helps and have a nice day.
4 0
3 years ago
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There are 7 7/8 cups of skittles in a Jar. If 2 1/4 cups are used for a party, how many skittes are left in the jar?
maw [93]
2 1/4 = 2 2/8. So, simply subtract 7 7/8 - 2 2/8 to get your final answer of 5 5/8
4 0
3 years ago
128 ounces is how many pounds​
LiRa [457]

Answer:

An ounce is a unit of weight equal to 1/16th of a pound or about 28.35 grams.

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Step-by-step explanation:

128 Ounces =

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6 0
4 years ago
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