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2 years ago

Find each angle measure.

Mathematics

1 answer:

Vitek1552 [10]2 years ago

4 0

Answer for 11-13: m<2: 150, m<6: 150, m<7: 150

Step-by-step explanation:

There is 180 degrees in a straight line. If one part of the line (angle) is 30 degrees, then the other part is 150. If you look at the image, you would see that m<2 is congruent to m<6 ,which means same, and m<7 is congruent to m<3.

Answer for 14-16: m<EBG: 150, m<AGH: 150, m<DHF: 30.

Step-by-step explanation:

4x = 150 2x + 50 = 150

x = 37.5 2x = 150 - 50

4(37.5) = 150 2x = 100

x = 50

2(50) + 50 =

100 + 50 = 150

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Answer:
432 cards and 72 stickers
Explanation:
1 pack=12 cards + 2 stickers
So if we want 36 packs..
36 packs=433 cards + 72 stickers
We times everything by 36!

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2 years ago

Please help me

Alexandra [31]

Answer:

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Step-by-step explanation:

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2 years ago

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2. Find the surface area of a cylindrical can of tennis balls if the height of the can is 8

alina1380 [7]

Answer:

125.7 square inches

Step-by-step explanation:

The surface area of a cylinder is the sum of the areas of the two circles on each end and the area encircling "rectangle". Note that the length of this "rectangle" is the height of the can, while the width is the perimeter of the circle. The full equation is:

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2 years ago

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A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t

11Alexandr11 [23.1K]

Answer:

Question 1: $dm/dt=0.2m$

Question 2: $m=Ae^{(0.2t)}$

Question 3: $m=10e^{(0.2t)}$

Question 4: $m=10g$

Explanation:

Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m

a) By definition: $m'=dm/dt$

b) Given: $rate=0.2m$

c) By substitution: $dm/dt=0.2m$

Question 2: Find the general solution of this equation. Use A as a constant of integration.

a) Separate variables

$dm/m=0.2dt$

b) Integrate

$\int dm/m=\int 0.2dt$

$ln(m)=0.2t+C$

c) Antilogarithm

$m=e^{0.2t+C}$

$m=e^{0.2t}\cdot e^C$

$e^C=A\\\\m=Ae^{(0.2t)}$

Question 3. Which particular solution matches the additional information?

Use the measured rate of 4 grams per hour after 3 hours

$t=3hours,dm/dt=4g/h$

First, find the mass at t = 3 hours

$dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g$

Now substitute in the general solution of the differential equation, to find A:

$m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976$

Round A to 1 significant figure:

A = 10.

Particular solution:

$m=10e^{(0.2t)}$

Question 4. What was the mass of the bacteria at time =0?

Substitute t = 0 in the equation of the particular solution:

$m=10e^{0}\\\\m=10g$

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2 years ago

Describe the relationship between the number of places a decimal point is moved to the left and the change in the value of the n

dimaraw [331]

For every decimal place you move a decimal through a number you can think of it as multiplying or dividing by ten.

take for example 1000.0
if you move the decimal to make this number 100.00 you divided it by ten
if you move the decimal again to make 10.000 you divided ten again

but, if you make the number bigger, say 10000. then you have multiplyed by ten.

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2 years ago

Find each angle measure.​

Find each angle measure.