Please give an explanation with you answer, thank you :)

By using Pythagoras theorem, length of one leg of triangle can be determined.

Given:

A triangle with length of one leg and the hypotenuse

According to question,

Let the length of one leg of triangle which can be base [tex](b)[/tex] or perpendicular [tex](p)[/tex] and hypotenuse represented by [tex](h)[/tex].

Now, using Pythagoras theorem which states that if a triangle is right-angled ([tex]90[/tex] degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

From the figure,

In [tex]\Delta AOB, \;\angle O=90^\circ[/tex]

[tex]\rm{H^2=P^2+B^2}\\\rm{AB^2=AO^2+OB^2[/tex]

  [tex]h^2=p^2+b^2[/tex]

 [tex]b=\sqrt{h^2-p^2}\\[/tex]

       or

[tex]p=\sqrt{h^2-b^2}\\[/tex]

Therefore, length of one leg of the triangle is determined by using Pythagoras theorem.

Learn more about Pythagoras theorem here:

https://brainly.com/question/15138986

Answer:

D  

2.213 x 10^4 miles

Step-by-step explanation:

Took the test

Question 1:

We have been given that a bag contains 7 red marbles, 6 green marbles, 5 yellow marbles, and 2 orange. Further we are given that marbles are drawn twice with a replacement. We need to figure out the probability P(Yellow and Green).

Basically, we need to determine the probability that first marble drawn is yellow and second marble drawn is green.

Probability of first marble drawn being yellow is [tex]\frac{5}{20}=\frac{1}{4}[/tex] and probability of second marble drawn being green is [tex]\frac{6}{20}=\frac{3}{10}[/tex].

Therefore, the probability P(Yellow and Green) = [tex]\frac{1}{4}\cdot \frac{3}{10}=\frac{3}{40}[/tex].

Question 2:

We have been given that a coin is tossed and a number cube is rolled and we need to find the probability P(H, prime number).

Probability of getting head on the coin is [tex]\frac{1}{2}[/tex].

Probability of getting a prime number on the cube is [tex]\frac{3}{6}=\frac{1}{2}[/tex].

Therefore, probability P(H,  prime number) = [tex]\frac{1}{2} \cdot \frac{1}{2}=\frac{1}{4}[/tex]

Martha's statement saying - 6 is a rational number is correct as - 6 can be written as - 6/1.

Rational numbers consist of fractions and integers.

Any rational number can be written in the form of p/q, where q ≠ 0.

Any integer can be written in the form of a rational number p/q, where q ≠ 0 and q = 1.

Given, Martha states that - 6 is a rational number.

First, it is a negative integer but it can be written in the form - 6/1 as - 6/1 is equal to 6.

learn more about rational numbers here :

https://brainly.com/question/1310146

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Martha is correct in stating that -6 is a rational number because it can be written as -6/1.

Martha is correct in stating that -6 is a rational number because it can be written as -6/1. A rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers. In this case, -6 can be written as the fraction -6/1.

The graph shows a parabola with a solid line and shading above or on the curve to represent the inequality [tex]y\geq (x+2)^{2}[/tex] This graph visually illustrates the solution set for the given inequality.

To graph the inequality [tex]y\geq (x+2)^{2}[/tex] we first need to plot the parabola [tex]y=(x+2)^{2}[/tex] with a solid line. The vertex of the parabola is at [tex](-2,0)[/tex]  and it opens upwards.

Next, we shade all the regions above or on the parabola to represent the inequality [tex]y\geq (x+2)^{2}[/tex] Since the inequality includes "or equal to" [tex](\geq )[/tex] we use a solid line for the graph of the parabola.

By following these steps, we create a graph where the area above or on the parabola is shaded, indicating the solutions to the inequality [tex]y\geq (x+2)^{2}[/tex] his shading represents all the points.

where the y-values are greater than or equal to the corresponding y-values on the parabola. The solid line ensures that points on the parabola itself are included in the solution set.

In summary, the graph shows a parabola with a solid line and shading above or on the curve to represent the inequality [tex]y \geq (x+2)^{2}[/tex] This graph visually illustrates the solution set for the given inequality.

[tex]n,\ m-the\ numbers\\\\n+m=0.25\qquad(*)\\\\n:m=0.25\to\dfrac{n}{m}=0.25\to n=0.25m\qquad(**)\\\\\text{Substitute}\ (**)\ \text{to}\ (*):\\\\0.25m+m=0.25\\\\1.25m=0.25\qquad\text{divide both sides by 1.25}\\\\\boxed{m=0.2}\\\\\text{Put the value of }\ m\ \text{to}\ (**):\\\\n=0.25(0.2)\\\\\boxed{n=0.05}\\\\Answer:\ \boxed{0.05\ and\ 0.2}[/tex]

Answer: The answer i false

Step-by-step explanation:

Y=3x-2, or B.

Answer:

I believe the answer is A.

Step-by-step explanation:

The radius of the earth = OC = OB = 3959 miles

Peak of the Mount Kazbek = A = 3.1 miles

OA = OC + CA

OA = 3959 + 3.1 = 3962.1 miles

As OBA is a right triangle,

[tex] OA^{2} [/tex] = [tex] OB^{2} [/tex] + [tex] AB^{2} [/tex]

[tex] 3962.1^{2} [/tex] = [tex] 3959^{2} [/tex] + [tex] AB^{2} [/tex]

15698236.41 = 15673681 + [tex] AB^{2} [/tex]

[tex] AB^{2} [/tex] = 15698236.41 - 15673681

[tex] AB^{2} [/tex] =24555.41

AB = 156.701659

climber's distance to the horizon is 156.7 miles

Answer:

11,60, and 61

Step-by-step explanation:

The inverse of the function is k(x) = [tex] \frac{x - 5}{10} [/tex]

You can find the inverse of any function by switching the k(x) value and the x value. After that, solve for the new k(x). The result will be your inverse function. The step-by-step process is below.

k(x) = 10x + 5 ----> Switch the x and k(x)

x = 10k(x) + 5 ----> Subtract 5 from both sides

x - 5 = 10k(x) ----> Divide both sides by 10.

[tex] \frac{x - 5}{10} [/tex] = k(x) ----> Now switch the order for formatting

k(x) = [tex] \frac{x - 5}{10} [/tex]

And this is your new inverse function.

Answer:

The answer would to be able to multiply the answers together. For example, the answer for this question would be 5,343 dollars rounded to the nearest tenth.

Step-by-step explanation: