1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zielflug [23.3K]
2 years ago
14

Please answer quickly,thanks you shall be marked a branliest​

Mathematics
1 answer:
Leviafan [203]2 years ago
3 0

Answer:

18.0  cm to 1 decimal point.

Step-by-step explanation:

First  work out the unknown side (s) of the right triangle using the Pythagoras theorem:

s^2  = 13^2 - 5^2

       = 169 - 25 = 144

s = sqrt 144 = 12 cm.

Now consider the other triangle:

s = 12

The missing angle = 180 - 65 - 40 = 75 degrees.

By the Sine Rule:

x / sin 75 = 12 / sin40

x = 12 sin 75 / sin 40

  = 18.03

    -

You might be interested in
Is 50 pens for 5.00 a rate or unit rate
notsponge [240]
Unit rate if your finding how much one cost.
4 0
3 years ago
Determine if the statement is possible(p) or impossible(i).
Nastasia [14]

Answer: Yes, it's possible

Step-by-step explanation:

53+118+9=180

5 0
1 year ago
8. In right triangle LMN shown below, altitude MK is drawn to LN from M. IF LM = 12 and LK =10, then
Elena-2011 [213]

The length of the KN is 4.4

Step-by-step explanation:

We know from Pythagoras theorem  

In a right angle ΔLMN  

Base² + perpendicular² = hypotenuse ²

From the properties of triangle we also know that altitudes are ⊥ on the sides they fall.

Hence ∠LKM = ∠NKM = 90 °

Given values-

LM=12

LK=10

Let KN be “s”

⇒LN= LK + KN

⇒LN= 10+x        eq 1

Coming to the Δ LKM

⇒LK²+MK²= LM²

⇒MK²= 12²-10²

⇒MK²= 44           eq 2

Now in Δ MKN

⇒MK²+ KN²= MN²

⇒44+s²= MN²       eq 3

In Δ LMN

⇒LM²+MN²= LN²

Using the values of MN² and LN² from the previous equations

⇒12² + 44+s²= (10+s) ²

⇒144+44+s²= 100+s²+20s

⇒188+s²= 100+s²+20s    cancelling the common term “s²”

⇒20s= 188-100

∴ s= 4.4

Hence the value of KN is 4.4  

8 0
4 years ago
Using the segment addition postulate, which is true? A number line going from negative 9 to positive 9. A closed circle appears
MArishka [77]

Answer:

  BC + CD = BD

Step-by-step explanation:

The segment addition postulate tells you that when a segment is divided into two parts, the sum of the lengths of the first part of the divided segment and the second part of the divided segment will be equal to the length of the whole segment.

If point C divides segment BD into BC and CD, then the sum of those two segments will match the whole.

4 0
3 years ago
Read 2 more answers
Leon charged $75 at an interest rate of 12.5%. How much will Leon have to pay after one month if he makes no payments? Simple in
avanturin [10]
I'm guessing that this problem is talking about a loan of some sort. So basically, let's look at the given. In the problem, Leon is charged a fee of 75. The interest rate would be 12.5 % if he doesn't pay his due amount. So in order to get the total amount that he has to pay if he doesn't pay on time, you just need to multiply 75 with 12.5% or simply 0.125. If you do this, you will get 9.375. After that, you add 9.375 to the principal amount which is 75 and you will get 84.375. So Leon has to now pay a total of 84.375.
4 0
3 years ago
Other questions:
  • Fraction equivalent to 528\1000 simplified​
    14·1 answer
  • Explain the connections and parallels in finding missing side lengths and angle measures in a right triangle using the trigonome
    10·1 answer
  • In 1987, the population of country A was estimated at 87 million people, with an annual growth rate of 3.5%. The 1987 population
    15·2 answers
  • Rachel mows 5 lawns in 8 hours . at this, how many lawns can she mow in 40 hours? PLz put explanation too... or else »-(¯`·.·´¯)
    5·1 answer
  • −(14w+8)+8=3
    10·1 answer
  • 10. Which of the following sets is written in order from least to greatest?
    11·1 answer
  • Express as an improper fraction 13 ⅔<br>​
    13·2 answers
  • Find the values of a and b so that the linear system has the given solution.
    10·1 answer
  • Shoprite has various brands of laundry detergent. which brand has the lowest price per ounce?​
    7·1 answer
  • Question 9 of 20
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!