How can I solve the statement below?

Solve for angle A in the right triangle below, given that b = 2.5 and c = 6. (Note: Drawing is not necessarily to scale.)

Answer:

what are the options????

Answer:

[tex]x = 5 \± \sqrt{31}[/tex]

Step-by-step explanation:

Given

[tex]6 = x^2 - 10x[/tex]

Required

The solution in radical form

[tex]6 = x^2 - 10x[/tex]

Rewrite as:

[tex]x^2 - 10x - 6 = 0[/tex]

Using the quadratic formula, we have:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where

a = 1

b = -10

c = -6

So, we have:

[tex]x = \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*(-6)}}{2*1}[/tex]

[tex]x = \frac{10 \± \sqrt{100 +24}}{2*1}[/tex]

[tex]x = \frac{10 \± \sqrt{124}}{2}[/tex]

Split the roots

[tex]x = \frac{10 \± \sqrt{4 * 31}}{2}[/tex]

Express [tex]\sqrt 4[/tex] as 2

[tex]x = \frac{10 \± 2\sqrt{31}}{2}[/tex]

Split the fraction

[tex]x = \frac{10}{2} \± \frac{2\sqrt{31}}{2}[/tex]

[tex]x = 5 \± \sqrt{31}[/tex]

Answer:

B. The sample selected from one of the populations has no effect or bearing on the sample selected from the other population.

Step-by-step explanation:

In statistical analysis, the use of independent samples for diverse studies is common.

Independent samples are such that the sample selected from one of the populations has no effect or bearing on the sample selected from the other population.

This means that samples are selected randomly in such a way that an observation obtained from a sample does not depend on the values obtained from the observation of another sample from the other population.

Answer:

(a): y increases on average by 8.63/unit of x1 in the first equation and increases on average by 9.01/unit of x1 in the second

(b): Yes

Step-by-step explanation:

Given

[tex]\wedge y = 40.7 + 8.63x_1 +2.71x_1[/tex]

[tex]\wedge y = 42.0 + 9.01x_1[/tex]

Solving (a): An interpretation of x1 coefficient

We have the coefficients of x1 to be 8.63 and 9.01

Literally, the coefficient represents the average change of y-variable per unit increase of the dependent variable

Since the coefficients of x1 in both equations are positive, then that represents an increment on the y variable.

So, the interpretation is:

y increases on average by 8.63/unit of x1 in the first equation and increases on average by 9.01/unit of x1 in the second

Solving (b): Multicollinearity

This could be the cause because x1 and x2 are related and as a result, x2 could take a part of the coefficient of x2

Answer:

I'm pretty sure it's C.

Step-by-step explanation:

The surface area for a pyramid that is: Base 8 and height 6

Would be: 42.87

Answer:

Step-by-step explanation:

well if the clown weighs 60 lbs more than the trapeze artist...

and the trapeze artist is 2/3 the weight of the clown...

then the trapeze artist must weigh 120 lbs..

and the clown must weigh 180 lbs..

i hope this was correct lol

Answer:

5x² + 10x + 2

Step-by-step explanation:

g(x + 1) = 5(x + 1)² - 3 = 5( x² + 2x + 1 ) - 3 = 5x² + 10x + 2

Answer:

8.2

Step-by-step explanation:

sin^-1 (8.2/21) is 22.984 which is pretty close to 23

Answer:

Range is [tex]-5 \le y \le 5[/tex]

Range in interval notation is  [-5, 5]

==========================================================

Explanation:

Refer to the diagram below. As marked in red, the smallest y value is y = -5. The largest y value is y = 5. The range is the set of y values between these endpoints, including both endpoints.

We can say the range is [tex]-5 \le y \le 5[/tex]

In interval notation, we write that as [-5, 5]. The use of square brackets tells the reader that the endpoints are included as part of the range.

Answer:

D) 13 1/8

Step-by-step explanation:

105/8=13 1/8 cups

Hope this helped! :)

Answer:

100

Step-by-step explanation:

Answer:

I hope its 15/10

Step-by-step explanation:

please let me know if its wrong

9514 1404 393

Answer:

Step-by-step explanation:

The sum of ratio units is 4+5+6 = 15, so each unit stands for 180°/15 = 12°. Multiplying the ratio units by 12° gives the angle values:

  4×12° : 5×12° : 6×12° = 48° : 60° : 72°

Angles 1 to 3 are 48°, 60°, 72°, respectively.

Answer:

[tex]57\frac{3}{11}[/tex] = c

or

[tex]57.\overline{27}[/tex] = c

Step-by-step explanation:

We know that the diameter of a circle multiplied by [tex]\pi[/tex] is the circumference, so we can create this equation:

180 = c * [tex]\pi[/tex]

Your teacher told us to assume [tex]\pi[/tex] is 22/7, so we'll put that in

180 = c * [tex]\frac{22}{7\\}[/tex]

To get c by itself, we divide both sides by 22/7

[tex]\frac{180}{\frac{22}{7}}[/tex] = c

Dividing by a number is the same as multiplying by its reciprocal, so we'll multiply 180 by 7/22

180 * [tex]\frac{7}{22}[/tex] = c

Evaluate

[tex]\frac{1260}{22}[/tex] = c

[tex]57\frac{3}{11}[/tex] = c

If you want a decimal instead:

[tex]57.\overline{27}[/tex] = c

Answer:

Given. 2. A bisector cuts a segment into 2. ≅ parts. 3. Intersecting lines form vertical ∠. 4. ... 3. ∠ABC = ∠ADC Angle. 4. ∆ABC ≅ ∆ADC. Reasons. 1. Given. 2. Given ... AE ≅ DF. AB ≅ CD. Prove: EC ≅ FB. Statement. 1. ∠A and ∠D are a rt ∠ ... CD bisects ∠BCA ... ∠ECA ≅ ½∠BAC and ... Given: CEA ≅ CDB, ∆ABC.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I think it is B because 6 times 5 = 30. So 30 times 1/2 = 60  hope this is correct and it helped and if it is not correct try C and can i get a brainliest

Answer:

V=12m

Step-by-step explanation:

V=l×w×h​

V=3×4×1

V=12m

Answer:

4m*3m*3m - 2m*2m*2m

Step-by-step explanation:

Answer:

([tex]\frac{5}{2}[/tex], 3)

Step-by-step explanation:

I got 5/2 as my x variable and 3 for my y variable to being the midpoint. In which I added both my x variables provided ( 3 and 2 ) and then I divided them by two to get half of that (since you are looking for in between those two digits technically so you are wanting to find the midpoint or the middle of that line segment). I also did the same with the two y variables as well which were 7 and -1, then I divided both by two to get the variable 3.

Answer:

5/2, 3

Step-by-step explanation:

that should be your answer (hopefully)

Answer:

85 feet per day = 5.879846 miles per year.

Answer:

5.88 miles

Step-by-step explanation:

85 x 365 =31,025 feet per year

31025/5280 = 5.88 miles

Answer: y = -5/8x + 6

Step-by-step explanation: The line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. The line of best fit is already given in this specific question, and we just have to figure out the equation of that line. The equation can be determined using the equation y=mx+b, where "y" represents the output, "m" represents the slope (vertical change compared to the horizontal change), "x" represents the input, and "b" represents the y-intercept (where the line crosses the y-axis). Since the slope (rise over run) is -5/8 and the y-intercept is (0,6), the equation of the line of best fit is y=-5/8x+6.

Answer:

[tex]3(3 - 4x + 2y)[/tex]

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

[tex]gcf = 3[/tex]

Factor out the GCF.

[tex]3( \frac{9}{3} + \frac{ - 12x}{3} + \frac{6y}{3} )[/tex]

Simplify each term in parentheses.

[tex]3(3 - 4x + 2y)[/tex]

Answer:

Half of the base multiple by the height