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goldfiish [28.3K]
3 years ago
9

What is the value of y? Please enter your answer, as an exact value

Mathematics
2 answers:
Natali [406]3 years ago
5 0
Answer: 8.66

So to Solve this we are going to be using Tangent.

Tangent: opposite/adjacent

Tan60 = y/5

Tan60 * 5 = y/5 *5

Tan60 * 5 = y

8.66 = y
Hatshy [7]3 years ago
4 0
Tan (60) = y/ 5
y = tan(60) * 5
and you know tan(60) = √3
so 
y = 5√3

answer
5√3 (exact value)
You might be interested in
Williiam lost 25% of his marble,gave 1/6 of the remainder to his.Brother and had 120 marbles left.How many marbles did he have a
bija089 [108]

Answer:

Number of marbles with Williams at the starting = 192

Step-by-step explanation:

Let total number of marbles with Williams = m

He lost marbles = 25% of the total number

                           = \frac{25}{100}\times m

                           = \frac{m}{4}

Remaining marbles with Williams = m - \frac{m}{4}

                                                        = \frac{3m}{4}

He gave marbles to his brother = \frac{1}{6}th of the remaining marbles

                                                    = \frac{1}{6}\times \frac{3m}{4}

                                                    = \frac{m}{8}

Remaining marbles after giving marbles to his brother = 120

Therefore, \frac{3m}{4}-\frac{m}{8}=120

\frac{6m}{8}-\frac{m}{8}=120

\frac{5m}{8}=120

m = \frac{120\times 8}{5}

m = 192

Number of marbles with Williams at the starting = 192

5 0
3 years ago
(13.01 LC) What is the value of the expression 7 +(16 - 7) = 3 + 8? (2 points) O 12 O 15 O 17 O 18 Question 3​
Karo-lina-s [1.5K]

Answer:

16 > 11

Step-by-step explanation:

7 + (16 - 7) = 3 + 8

7 + 9 = 3 + 8

16 = 3 + 8

16 ≠ 11

or

16 > 11

4 0
2 years ago
In indirect variation if y = 5 and x = 10, what is the value of k (the constant)?
Andre45 [30]
87 the to you do why try ice
4 0
3 years ago
According to the National Bridge Inspection Standard (NBIS), public bridges over 20 feet in length must be inspected and rated e
slamgirl [31]

Answer:

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Step-by-step explanation:

For each bridge, there are only two possible outcomes. Either it has rating of 4 or below, or it does not. The probability of a bridge being rated 4 or below is independent from other bridges. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

For the year 2020, the engineers forecast that 9% of all major Denver bridges will have ratings of 4 or below.

This means that p = 0.09

Use the forecast to find the probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Either less than 4 have a rating of 4 or below, or at least 4 does. The sum of the probabilities of these events is 1.

So

P(X < 4) + P(X \geq 4) = 1

We want P(X \geq 4)

So

P(X \geq 4) = 1 - P(X < 4)

In which

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{12,0}.(0.09)^{0}.(0.91)^{12} = 0.3225

P(X = 1) = C_{12,1}.(0.09)^{1}.(0.91)^{11} = 0.3827

P(X = 2) = C_{12,2}.(0.09)^{2}.(0.91)^{10} = 0.2082

P(X = 3) = C_{12,3}.(0.09)^{3}.(0.91)^{9} = 0.0686

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3225 + 0.3827 + 0.2082 + 0.0686 = 0.982

Finally

P(X \geq 4) = 1 - P(X < 4) = 1 - 0.982 = 0.0180

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

6 0
2 years ago
Select the correct answer from each drop-down menu.
nydimaria [60]
<span>the coordinates of vertex A = (1,1)
</span><span>the coordinates of vertex B = (2,3)
</span><span>the coordinates of vertex C = (2,1)

</span>
4 0
2 years ago
Read 2 more answers
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