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Novay_Z [31]
3 years ago
10

If AB=29cm and angle A= 25 degrees, what is AC to the nearest centimeter

Mathematics
1 answer:
lapo4ka [179]3 years ago
8 0

Answer:

13.5

Step-by-step explanation:

Using sine rule

Tan25 = AC/AB = AC/29

AC = 29 × Tan 25 = 29 × 0.45 = 13.5229220865

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Jose paid $2.50 for 3 apples. At this rate how much would he pay for 12 apples
Ber [7]

Divide 3 apples by $2.50 to get the unit price, $1.20 (The constant of proportionality)
Then multiply 12 apples by the constant ($1.20)
Your final answer should be $14.40

7 0
3 years ago
Use the Change of Base Formula to evaluate log3 6. Round to the nearest thousandth if necessary.
jeka94
1.556302501 or 1.556

hope this helps
6 0
3 years ago
A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec
natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

50 parts means that N = 50

4 defective means that k = 4

10 are chosen, which means that n = 10

What is the probability this shipment passes inspection?

Probability that none is defective, so:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968

0.3968 = 39.68% probability this shipment passes inspection.

6 0
3 years ago
What is the value of
jasenka [17]

Answer

My answer is in the photo above

7 0
3 years ago
• A car uses 30 gallons of gasoline for a trip of 800 miles. How many gallons would
nevsk [136]

Quantity of gasoline needed by a car to run 800 miles = 30 gallons

Quantity of gasoline needed by a car to run 1 mile =

= 30 ÷ 800

= 0.0375 gallons

So , to run 1 mile a car would need = 0.0375 gallons of oil

To run 700 miles the quantity of gasoline needed =

= 700 × 0.0375

= 26.25 gallons of gasoline

Therefore , a car will use 26.25 gallons of gasoline on a trip of 700 miles .

7 0
3 years ago
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