This is the attached diagram to 5

Mathematics

1 answer:

Ber [7]3 years ago

6 0

The problem statement tells you ∠MLK is 61°, so ∠LMK = 180° -68° -61° = 51°. Since a tangent is always perpendicular to a radius, triangles LJM and LJK are right triangles.

Trigonometry tells you ...
tangent = opposite / adjacent
so you can write two relations involving LJ.
tan(51°) = LJ/JM
tan(68°) = LJ/JK
The second equation can be used to write an expression for LJ that can be substituted into the first equation.
LJ = JK*tan(68°) = 3*tan(68°)
Substituting, we have
tan(51°) = 3*tan(68°)/JM
Multiplying by JM/tan(51°), we get
JM = 3*tan(68°)/tan(51°)
JM ≈ 6.01

The radius of circle M is about 6.01.

You might be interested in

A dealership has 42 cars that are last year’s model that they still need to sell. Because they are last year’s model, each of th

slavikrds [6]

Using proportions, the multiplication expression to determine the total change in the value of these cars at the dealership is given by:

T = -1,200 x 42.

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

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For this problem, we have that one car depreciated on average -$1,200. We want to find the amount relative to 42 cars, and this amount can be found by the following<em> rule of three</em>.

1 car - -$1,200.

42 cars - $T

Applying cross multiplication, the expression is given by:

T = -1,200 x 42.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0

2 years ago

The water in a fish tank is treated by using 5 millilitres of AquaGuard for every 10 litres of

lorasvet [3.4K]

I think 5:10 but I’m not sure I don’t have how many liters are in the tank

4 0

2 years ago

WILL GIVE BRAINILEST

defon

15, 1 ground beef cost $5

8 0

3 years ago

Read 2 more answers

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that

FromTheMoon [43]

Answer:

The Taylor series is $\ln(x) = \ln 3 + \sum_{n=1}^{\infty} (-1)^{n+1} \frac{(x-3)^n}{3^n n}$ .

The radius of convergence is $R=3$ .

Step-by-step explanation:

<em>The Taylor expansion.</em>

Recall that as we want the Taylor series centered at $a=3$ its expression is given in powers of $(x-3)$ . With this in mind we need to do some transformations with the goal to obtain the asked Taylor series from the Taylor expansion of $\ln(1+x)$ .