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3 years ago

What is the value of b?

Mathematics

1 answer:

Ronch [10]3 years ago

3 0

Answer:

55°

Step-by-step explanation:

Perhaps you want the measure of angle B. (There is no "b" in the figure.)

That measure is half the measure of the intercepted arc:

m∠B = 110°/2 = 55°

Angle B is 55°.

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100 POINTS BRAINLIEST QUESTION ATTACHED

spin [16.1K]

-1 plz mark brainliest

5 0

3 years ago

Read 2 more answers

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate

Veronika [31]

It takes 8.35 hours for the size of the sample to double

Step-by-step explanation:

The form of the continuous exponential growth model is

$A=Pe^{rt}$ , where

A is the new value
P is the initial value
r is the rate of growth or decay in decimal
t is the time

∵ The growth rate is 8.3%

∴ r = 8.3 ÷ 100 = 0.083

∵ The size of the sample will doubled in t hours

∴ A = 2 P

Use the formula of the contentious exponential growth above

∵ $2P=Pe^{0.083t}$

- Divide both sides by P

∴ $2=e^{0.083t}$

- Insert ㏑ in both sides

∴ $ln(2)=ln(e^{0.083t})$

- Remember $ln(e^{n})=n$ because ㏑(e) = 1

∴ $ln(2)=0.083t$

- Divide both sides by 0.083

∴ $\frac{ln(2)}{0.083}=t$

∴ t = 8.35 hours to the nearest hundredth

It takes 8.35 hours for the size of the sample to double

Learn more:

You can learn more about the logarithmic function in brainly.com/question/1447265

#LearnwithBrainly

4 0

4 years ago

You invest $15,000 to start a hot dog stand at the local sports complex. It costs you $.65 to produce each hot dog. How many hot

SCORPION-xisa [38]

Answer:

Below is the procedure to find the answer: 30,000 hot dogs.

Explanation:

The <em>average cost </em>is found dividing the total cost by the number of hot dogs:

$Average\text{ }cost=Total\text{ }cost/Number\text{ }of\text{ }hot\text{ }dogs$

The total cost is the the sum of amount that you invest plus the product of the cost of producing each hot dog times the number of hot dogs:

$Total\text{ }cost=investment+Number\text{ }of\text{ }hot\text{ }dogs\times cost\text{ }to\text{ }produce\text{ }each\text{ }hot\text{ }dog$

Substitute the values:

$Total\text{ }cost=15,000+0.65x\\ \\ Averate\text{ }cost=(15,000+0.65x)/x=1.15$

Where x is the number of hot dogs.

Solve for x from the equation:

$(15,000+0.65x)/x=1.15\\ \\ 15,000+0.65x=1.15x\\ \\ 15,000=1.15x-0.65x\\ \\ 15,000=0.5x\\ \\ 15,000/0.5=x\\ \\ 30,000=x\\ \\ x=30,000$

Which shows you how you can find that the answer is 30,000 hot dogs.

8 0

3 years ago

Write 43 as a sum of powers of 2.<br> (2 Has to be the Base not the exponent)

slamgirl [31]

Answer:

2⁰ + 2¹+ 2⁵ +2³ = 43

Step-by-step explanation:

since 43 is odd, we know 2⁰ or 1 must be one of the sums

43 - 2⁰ = 42

42 - 2¹ = 40

16 = 2⁴

40-2(16) = 40 - 2⁵ = 8

8 = 2³

adding this all together

2⁰ + 2¹+ 2⁵ +2³ = 43

6 0

4 years ago

Trey's chocolate bar is 54% cocoa. If the weight of the chocolate bar is 73 grams, how many grams of cocoa does it contain? Roun

seropon [69]

The mass of cocoa contained in a chocolate bar of mass 73 grams is: (73 x 54) / 100 = 39.42 grams

6 0

3 years ago