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2 years ago

PLEASE HELP ASAAPPP PLEASEE

Mathematics

1 answer:

saw5 [17]2 years ago

5 0

Answer:

m∠1 = 81

m∠2 = 99

Step-by-step explanation:

The angles are supplemaentary and therefor sum to 180

3x + (x + 72) = 180

4x + 72 = 180

4x = 108

x = 27

m∠1 = 3x

m∠1 = 27(3)

m∠1 = 81

m∠2 = x + 72

m∠2 = 27 + 72

m∠2 = 99

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2900 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 13 years, to the

mr_godi [17]

Answer:

$8,890.83

Step-by-step explanation:

To find the answer we have to use this equation:

$A = P(1 + r)^t$

A = The total amount

P = The initial amount

R = The interest rate

T = Time

Given in the question:

A = ?

P = 2,900

R = .09

T = 13

Plug it into the equation and solve:

$A = 2900(1 + .09)^1^3\\A = 2900(1.09)^1^3\\A = 2900(3.065804612)\\A = 8890.83$

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3 years ago

Put the given function into vertex form. Fill in the blanks to complete the function below.

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6 0

2 years ago

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 5% real fruit juice and Drink B

Romashka [77]

Answer:

a). 12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A, and 20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). 0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A, and 0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B

Step-by-step explanation:

a). Drinks A(250 liters) and Drink B(200 liters)

Total amount of Drink A=250 liters

Real fruit juice=5% of Drink A=(5/100)×250=12.5 liters

12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A

Total amount of Drink B=200 liters

Real fruit juice=10% of Drink B=(10/100)×200=20 liters

20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). Drinks aa and bb

Total amount of Drink A=aa liters

Real fruit juice=5% of Drink A=(5/100)×aa=0.05aa liters

0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A

Total amount of Drink B =bb liters

Real fruit juice=10% of Drink 10=(10/100)×bb=0.1bb liters

0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B

5 0

3 years ago

A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of tune, an average of 28 pa

patriot [66]

Answer:

Part I

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p(x=2)=0.0000

Part II

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Step-by-step explanation:

For Poisson distribution:

$p(X=x)=e^-m\frac{m^x}{x!}$

Where m=mean, x=number of events

Given x=1, and mean,m=28

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For Uniform Distribution

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Time interval between 15 and 16 minutes is 1

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$p(x)=\frac{1}{9}\\p(x)=0.1111\\p(x)=0.11 \ (2d.p)$

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3 years ago