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soldier1979 [14.2K]
3 years ago
11

What is the length of BC? Round to the nearest tenth.

Mathematics
1 answer:
Kay [80]3 years ago
6 0

Answer:

BC ≈ 14.5 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin65° = \frac{opposite}{hypotenuse} = \frac{BC}{AB} = \frac{BC}{16} ( multiply both sides by 16 )

16 × sin65° = BC , then

BC ≈ 14.5 cm ( to the nearest tenth )

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....................​
denis-greek [22]

Answer:

\boxed{\large\sf y = 3x - 5}

Step-by-step explanation:

Here we are given a equation which is ,

\longrightarrow  y = 3x + 6

We need to find out the equation of the line which is parallel to the given line and passes through the given point .

  • And as we know that the slope of two parallel lines are equal .

On comparing the given equation with slope intercept form (y = mx + c )of the line , we have ,

\longrightarrow m = 3

Therefore the slope of the parallel line will be ,

\longrightarrow m_{||}= 3

Now we can use the <u>point </u><u>slope </u><u>form </u>of the line which is ,

\longrightarrow y - y_1 = m(x - x_1)

Substitute ,

\longrightarrow y - 7 = 3 ( x -4)\\\\\longrightarrow y -7 = 3x -12 \\\\\longrightarrow y  = 3x -12+7\\\\\longrightarrow y = 3x -5

This is the required answer .

3 0
3 years ago
The depth y (in inches) of a lake after x years is represented by the equation y=0.2x+42 . How much does the depth of the lake i
blagie [28]

Answer:

<h2><em><u> 42.8 in</u></em></h2>

Step-by-step explanation:

Step one:

given data

we are told that the expression for the depth of a lake after x years is given by

y=0.2x+42

Required

The value of y when x= 4

Step two:

substitute the value of x in the expression to get y

y=0.2(4)+42\\\\y=0.8+42\\\\y=42.8\\\\

<em><u>After 4 years the depth will increase by 42.8 in</u></em>

7 0
3 years ago
PLS HELP ME FOR THIS QUESTION
Sergeeva-Olga [200]

Answer: DO you have any options that can help me answer it?

Step-by-step explanation:


6 0
3 years ago
The distribution of the number of siblings for students at a large high school is skewed to the right with mean 1.8 siblings and
morpeh [17]

Answer:

E. Approximately normal with standard deviation less than 0.7 sibling

Step-by-step explanation:

To solve this question, we use the Central Limit theorem.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

Skewed right distribution, with \mu = 1.8, \sigma = 0.7

Sampling distribution of the sample mean for samples of size 100

By the Central Limit Theorem, they will be approximately normal, with mean \mu = 1.8, and standard deviation s = \frac{0.7}{\sqrt{100}} = 0.07

So the correct answer is:

E. Approximately normal with standard deviation less than 0.7 sibling

4 0
3 years ago
I need help asap plsss
ira [324]
50.16 cause it says 5 ten times the value
8 0
3 years ago
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