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kogti [31]
3 years ago
12

Identify the values of a, b, and c that make the

Mathematics
2 answers:
AVprozaik [17]3 years ago
7 0

Answer:

a = 2

b = 6

c = 64

ivolga24 [154]3 years ago
4 0

Answer:

log264 = 6 if and only if ab = c.

a = 2

b = 6

c = 64

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Reduce the ratio to its lowest form.<br> 42 : 49
Mariana [72]

Answer:

6:7

Step-by-step explanation:

divide both sides by 7...

5 0
3 years ago
Two lighthouses are located 60 miles from one another on a north-south line. If a boat is spotted S 21o E from the northern ligh
jasenka [17]

Answer:

(A)The northern lighthouse is 8.2 miles closer than the southern lighthouse.

Step-by-step explanation:

The triangle attached represents the given problem.

First, let us determine the distance of the Boat from each of the lighthouse.

In Triangle ABC,

∠A+∠B+∠C=180 degrees

21+∠B+16=180

∠B=180-37=143 degrees.

Using Law of Sines

\frac{a}{Sin A}=\frac{b}{Sin B}\\\frac{a}{Sin 21^0}=\frac{60}{Sin 143^0} \\\text{Cross Multiply}\\a*sin143=60*sin21\\a=60*sin21\div sin143\\a=35.73 miles

Similarly

\frac{c}{Sin C}=\frac{b}{Sin B}\\\frac{c}{Sin 16^0}=\frac{60}{Sin 143^0} \\\text{Cross Multiply}\\c*sin143=60*sin16\\c=60*sin16\div sin143\\c=27.48 miles

Difference in Distance =35.73-27.48=8.25 miles

Therefore, the northern lighthouse is 8.2 miles closer than the southern lighthouse.

8 0
4 years ago
In Spetember of 2013, Mario The Baker introduced a new chocolate cake and hired Doug and Jeremy to bake these cakes. Every custo
professor190 [17]

Answer:

There is a 90.32% probability that the cake was baked by Doug.

Step-by-step explanation:

We have these following probabilities:

A 70% probability that Doug bakes the cake.

A 30% probability that Jeremy bakes the cake.

A 40% probability that a cake baked by Doug gets a thumbs up.

A 10% that a cake baked by Jeremy gets a thumbs up.

One cake was selected at random on 10/01/2014 and got a "thumbs up".

1. Find the probability that the cake was baked by Doug.

The probability that a baked cake gets a thumbs up is:

P = 0.7*0.4 + 0.3*0.10 = 0.31

Of those, 0.7*0.4 = 0.28 are baked by Doug.

So the probability is:

P = \frac{0.28}{0.31} = 0.9032

There is a 90.32% probability that the cake was baked by Doug.

4 0
3 years ago
Helen plays basketball. For free throws, she makes the shot 75% of the time. Helen must now attempt two free throws. The probabi
CaHeK987 [17]

Answer: 0.6375

Step-by-step explanation:

Let's assume that the event that she'll make the first shot is given as P(A) while making the second shot is P(B). Therefore, P(A/B) = 0.85

Therefore, the probability that she makes both free throws will be denoted as:

= 0.75 × 0.85

= 0.6375

3 0
3 years ago
What is the length of AB? please help!
ira [324]

Answer:

AB = 12

Step-by-step explanation:

Since the triangle is isosceles, the sides AB and BC are congruent. Then you have ...

4x = 2x+6

2x = 6 . . . . . . subtract 2x

4x = 12 . . . . . .multiply by 2

The side AB has length 12.

3 0
4 years ago
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