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3 years ago

Unit 8 test right triangles and trigonometry

Mathematics

1 answer:

Ronch [10]3 years ago

7 0

Answer:

y= 4 (square root of 3) x=8

Step-by-step explanation:

it's hard to explain but I am in geometry and learned this two

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Use elimination to solve each system of equations<br> 2x-y=-1<br> 3x-2y=1

mixer [17]

$2x-y=-1 \ \ \ |\times (-2) \\
3x-2y=1 \\ \\
-4x+2y=2 \\
\underline{3x-2y=1 \ \ \ \ } \\
-4x+3x=2+1 \\
-x=3 \ \ \ |\times (-1) \\
x=-3 \\ \\
2x-y=-1 \\
2 \times (-3)-y=-1 \\
-6-y=-1 \ \ \ |+6 \\
-y=5 \ \ \ |\times (-1) \\
y=-5 \\ \\
\boxed{(x,y)=(-3,-5)}$

8 0

3 years ago

Read 2 more answers

Is the square root of 4 plus the square root of 16 rational

Ahat [919]

Yes because square root of 4 is 2 and square root of 16 is 4. 4+2=6

4 0

3 years ago

Read 2 more answers

A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s

Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

$P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0$

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

$P_K=3P_T\\\\P_K-3P_T=0$

Finally, we know that the sum of probablities has to be 1, or 100%.

$P_Q+P_K+P_T=1$

We can solve this by sustitution:

$P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6$

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

$P_K+P_Q=0.6+0.2=0.8$

8 0

3 years ago

Your friend decides to flip a coin repeatedly to analyze whether the probability of a head on each flip is 1/2. He flips the coi

Phoenix [80]

Answer:

Step-by-step explanation:

Given that a friend flips a coin 10 times and observes head 7 times. So he concludes Probability of head =0.1

This is wrong because

i) Just making 10 trials and coming to conclusion is wrong. Trials should be large to get accurate estimate

ii) The way he threw the coin may be biased so differrent persons should flip and get results for larger trials

iii) External influences such as air, any other disturbance is not considered here.

To avoid all these sampling fluctuations number of trials should be increased with different situations and times.

6 0

3 years ago

Does anyone know this?

Ilia_Sergeevich [38]

Answer:

a is 7

Step-by-step explanation:

counting all of the 90° angles and then g and h are in the middle so you add the middle also

3 0

2 years ago