All categories

2 years ago

Given the diagram below, if P is the incenter of AJRL,

Mathematics

1 answer:

sp2606 [1]2 years ago

6 0

Answer:

13. PM=31 14. KN=34 15. OL=36.6 KP=46

Step-by-step explanation:

13. PM≅PN≅PO 14.KM≅KN

15. $x^{2}+31^{2}=48^{2}$

$x^{2} +961=2304\\$

subtract 961 from both sides

$\sqrt{x^2} =\sqrt{1343}\\x=36.6$

16. $31^{2} +34^{2}=x^{2}$

$961+1156=x^{2}$

add 961 and 1156 together

$\sqrt{2117^2} }=\sqrt{x^{2} }$ $x=46.0$

You might be interested in

What is the average rate of change of the function over the interval x = 0 to x = 6?

Ymorist [56]

Answer:

15 2/3, or 47/3

Step-by-step explanation:

I'm going to assume, correctly or not, that you actually meant f(x) = 2x^2 - (1/3)x + 5. Double check on this right now, please.

If I'm right, then evaluate f(x) at x = 0 and x = 8:

f(0) = 5

and

f(8) = 2(8)^2 - (1/3)(8) + 5 = 128 - 8/3 + 5 = 133 - (2 2/3), or: 130 1/3

Then the average rate of change of f(x) = 2x^2 - (1/3)x + 5 over the interval [0,8] is:

130 1/3 - 5 125 1/3

a. r. c. = ------------------- = ---------------- = 15 2/3, or 47/3

8 - 0 8

6 0

3 years ago

The cube root of rvaries inversely with the square of s. Which two equations model this relationship

VARVARA [1.3K]

Answer:

3√r = k/s²

s²r^1/3 = k

Step-by-step explanation:

Cube root of r = 3√r

Square of s = s²

cube root of r varies inversely with the square of s

3√r = k/s²

Cross product

3√r * s² = k

s²r^1/3 = k

Note:

r^1/3

= 3√r

7 0

2 years ago

Line AB contains points A (4,5) and B(9,7). What is the slope of AB

ki77a [65]

This line crosses the point (4,5)so we can make an equation to find the slope:
$4 = a \times 5 \\ 4 = 5a \\ a = \frac{4}{5}$
hope this helps

8 0

3 years ago

Read 2 more answers

for simultaneous equations in variables x and y d x² = 49 Dy= -63, D= 7 then what is the value of x?

Ket [755]

Step-by-step explanation:

hope it will be helpful to you

3 0

2 years ago

A boat is heading towards a lighthouse, whose beacon-light is 126 feet above the water. From point AA, the boat’s crew measures

vredina [299]

Using the slope concept, it is found that the distance from point A to point B is of 887 feet.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>.

It's also the tangent of the angle of depression.

In this problem, the vertical change is of 126 feet.

At point A, the angle is of 6º, while the horizontal position is of $x_A$ , hence:

$\tan{6^\circ} = \frac{126}{x_A}$

$x_A = \frac{126}{\tan{6^\circ}}$

$x_A = 1198.8$

At point B, the angle is of 22º, while the horizontal position is of $x_B$ , hence:

$\tan{22^\circ} = \frac{126}{x_B}$

$x_B = \frac{126}{\tan{22^\circ}}$

$x_B = 311.9$

Hence, the distance in feet is of:

$d = x_A - x_B = 1198.8 - 311.9 \approx 887$

More can be learned about the slope concept at brainly.com/question/18090623

6 0

2 years ago