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2 years ago

In right triangle ABC, angle C is a right angle. Which is equal to cos A? A. cos B B. csc B C. sec B D. sin B

Mathematics

2 answers:

Elanso [62]2 years ago

8 0

The one equal to cos A would be D. sin B

Aliun [14]2 years ago

3 0

sin x = opposite/hypotenuse
angle C = 90 degrees cos a = 90 degrees

The right Answer is :
Sin B

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Ten college students were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 a

solong [7]

Answer:

The 95% confidence interval for the true slope is (0.03985, 0.14206).

Step-by-step explanation:

For the regression equation:

$\hat y=\alpha +\hat \beta x$

The (1 - α)% confidence interval for the regression coefficient or slope $(\hat \beta )$ is:

$Ci=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )$

The regression equation for current GPA (Y) of students based on their GPA's when entering the program (X) is:

$\hat Y=3.584756+0.090953 X$

The summary of the regression analysis is:

Predictor Coefficient SE t-stat p-value

Constant 3.584756 0.078183 45.85075 5.66 x 10⁻¹¹

Entering GPA 0.090953 0.022162 4.103932 0.003419

The regression coefficient and standard error are:

$\hat \beta = 0.090953\\SE (\hat \beta)=0.022162$

The critical value of t for 95% confidence level and 8 degrees of freedom is:

$t_{\alpha/2, n-2}=t_{0.05/2, 10-2}=t_{0.025, 8}=2.306$

Compute the 95% confidence interval for $(\hat \beta )$ as follows:

$CI=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )\\=0.090953\pm 2.306\times 0.022162\\=0.090953\pm 0.051105572\\=(0.039847428, 0.142058572)\\\approx (0.03985, 0.14206)$

Thus, the 95% confidence interval for the true slope is (0.03985, 0.14206).

6 0

2 years ago

50 is ____________ times as large as 5.

coldgirl [10]

Answer: 10

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

If the relative frequency of getting a red on a spinner is 0.4 how many reds would you expect to get in 300spins?

Sauron [17]

This relative frequency is an experimental probability: that of getting a red on a spinner. In 300 spins, we'd expect to get 0.4(300), or 120, reds.

5 0

3 years ago

SOMEONE HELP ASAPPPP PLEASEEE,PLEASE EXPLAIN HOW U GOT YOUR ANSWER, I NEED AN EXPLANATION IN ORDER TO COMPLETE THIS! NO LINKS OR

slega [8]

Answer:

We must use the formula b x h/2 12 x 8/2 = 48

A=48

We must use the formula 1/2a root c squared - a squared

Solving and substituing will get you 35.78

We must divide 81 by 2 to get 9. Since this is a square, all sides will be 9. Then, we must add 9 four times to get 36 cm as our perimeter

B) If we draw the square with a diagonal line, we can understand that the diagonal line (hypotenus) is s root 2.

3) The formula for this area of a triangle is h x b/2. We must substitute the numbers to get our answer:

h x b /2 = 10 x 20/2 = 200/2 = 100

AREA IS 100cm squared

Step-by-step explanation:

5 0

2 years ago

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right

juin [17]

Answer:

RT = 12 units

Step-by-step explanation:

From the figure attached,

ΔSRQ is right triangle.

m∠R = 90°

An altitude has been constructed from point T to side SQ.

m∠RTQ = 90°

By applying geometric mean theorem in triangle SRQ,

$\frac{\text{RT}}{\text{ST}}=\frac{\text{TQ}}{\text{RT}}$

$\frac{x}{9}=\frac{16}{x}$

x² = 16 × 9

x² = 144

x = √144

x = 12

Therefore, length of altitude RT is 12 units.

5 0

3 years ago