All categories

2 years ago

Triangle PQR is a right triangle. If PQ = 8 , what is RQ?

Mathematics

2 answers:

slavikrds [6]2 years ago

8 0

The answer to this is B

seraphim [82]2 years ago

8 0

Answer:

The value of the RQ is 16 unit .

Option (B) is correct .

Step-by-step explanation:

Now by using the trignometric identity

$cos \theta = \frac{Base}{Hypotenuse}$

Base = RQ

Hypotenuse = PQ = 8 unit

$\theta = 60^{\circ}$

$cos60^{\circ} = \frac{RQ}{PQ}$

$cos60^{\circ} = \frac{RQ}{8}$

$cos\ 60^{\circ} = \frac{1}{2}$

$\frac{8}{2}=RQ$

RQ = 4

= 4 unit

Therefore the value of the RQ is 4 unit .

Option (B) is correct .

You might be interested in

What is the average rate of change of f(x), represented by the table of values, over the interval [-3,4]

77julia77 [94]

Answer:

Average rate of change = 3

Step-by-step explanation:

We know that the average rate of change is basically a measure of the slope of the secant line in the closed interval [a, b].

here a = -3 and b = 4

f(b) = f(4) = 27

f(a) = f(-3) = 6

⇒ Average rate of change = f(b) - f(a) / b - a

= (27 - 6) / (4 - (-3))

= 21 / 7

= 3

Therefore, Average rate of change = 3

6 0

2 years ago

HELP PLS ASAP 50 POINTS HELP ILL MARK BRAINLIEST

kati45 [8]

Answer:

1/2jdjdjjdjdjdhdhdhdhdhhdhdhdhdhd

5 0

2 years ago

Determine the probability without a Venn Diagram (using the Addition Rule).

Liono4ka [1.6K]

1/1/2 is the answer ............

5 0

2 years ago

A random sample of 20 students yielded a mean of ¯x = 72 and a variance of s2 = 16 for scores on a college placement test in mat

Helen [10]

Answer:

The 98% confidence interval for the variance in the pounds of impurities would be $8.400 \leq \sigma^2 \leq 39.827$ .

Step-by-step explanation:

1) Data given and notation

$s^2 =16$ represent the sample variance

s=4 represent the sample standard deviation

$\bar x$ represent the sample mean

n=20 the sample size

Confidence=98% or 0.98

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case the sample variance is given and for the sample deviation is just the square root of the sample variance.

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=20-1=19$

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical values.