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
geniusboy [140]
3 years ago
9

. Given that O is the centre of the following circle, find the values of the unknowns.​

Mathematics
1 answer:
alex41 [277]3 years ago
3 0

Given:

Radius of circle is 13 cm

Height of triangle is 5 cm

To find:

Value of 'a' and 'b'

Steps:

To find value of 'a', we will use Pythagoras theorem as the triangle is a right angle triangle,

A² + B² = C²

a^{2} + 5^{2} = 13^{2}

a^{2} + 25 = 169

a^{2} = 169 - 25

a^{2} = 144

\sqrt{a^{2}}=\sqrt{144}

a = 12

Now to find the value of 'b', i will use law of cosine,

c=\sqrt{a^{2}+b^{2}-2ab(cos\beta ) }

12 = \sqrt{13^{2}+5^{2}-2(5)(13)(cos\beta )}\\12=\sqrt{169 + 25-130(cos\beta )}\\12=\sqrt{194-130(cos\beta )}\\144 = 194 - 130(cos\beta )\\50 = 130(cos\beta )\\cos\beta =   0.3846\\\beta  = cos^{-1}(0.3846)\\\beta = 67.38

Therefore, the values of 'a' and 'b' is 12 and 67.38 respectively

Happy to help :)

If u need any help feel free to ask

You might be interested in
What is 4 superscript 5 written in expanded form?
elena55 [62]
If this is an exponent, it would be 4 x 4 x 4 x 4 x 4 in expanded form.
5 0
3 years ago
Read 2 more answers
Dana and her 4 friends are going on a camping trip. Dana wants to see how much fruit she can share so everyone will get the same
kupik [55]
I agree that the answer is 6. 30÷5=6
6 0
3 years ago
PLEASE HELP AND EXPLAIN WELL
Irina-Kira [14]

Answer:

5%

Step-by-step explanation:

so basically we know in 3 years she spent 390 dollars

so 390 divided by 3 is 130

so all we need to do is find this:

130 is what percent of 2600

so the final answer is 5%

5 0
2 years ago
A study of a company's practice regarding the payment of invoices revealed that an invoice was paid an average of 20 days after
morpeh [17]

Answer:

=0.1587 or 15.87%

So option A is correct answer so 15.87% of the invoices were paid within 15 days of receipt.

Step-by-step explanation:

In order to find the percent of the invoices paid within 5 days of receipt we have to find the value of Z first.

Z=\frac{X-u}{S}

where:

X is the random varable which in our case is 15 days

u is the mean or average value which is 20 days

S is the standard deviation which is 5 days

Z=\frac{15-20}{5}

Z=-1.0

We have to find Probability at Z less than -1

P(Z<-1.0) which can be written as:

=1-P(Z>1.0)

From Cumulative distribution table:

=1-(0.3413+0.5)

=0.1587 or 15.87%

So option A is correct answer so 15.87% of the invoices were paid within 15 days of receipt.

7 0
3 years ago
How many 150 ml bottles can be filled with 6 litres/
lara31 [8.8K]

Answer:

40 bottles

Step-by-step explanation:

6liters=6000ml so I do 6000/150=40.Therfore 40 bottle of 150ml can fill a bottle wth 6 literes

AND SORRY FOR BAD GRAMMAR BUT I HOPE IT HELPS!!

4 0
2 years ago
Other questions:
  • What is the area of polygon IJKL?
    8·2 answers
  • There are 30 students in Mr.Thomas' class.If he wants 20% of the students in each group, how many students will be in. each grou
    8·2 answers
  • Oceanside Bike Rental Shop charges a 18 dollar fixed fee plus 7 dollars an hour for renting bike. Jason paid 81 dollars to rent
    13·1 answer
  • The density of a certain material is such that it weighs 7 pounds for every 5.5 cups of volume. Express this density in kilogram
    15·1 answer
  • Help needed asap! find values 10 points!
    12·1 answer
  • What number is the same as 3 tens + 24 ones?
    15·2 answers
  • Which angle is a vertical angle with
    10·1 answer
  • Which clock shows 2:08?
    12·2 answers
  • The population of a town doubled in 5 years, then doubled again in the next 10 years. What is the percent of increase?
    5·1 answer
  • If a cylindrical vase has a 63 cubic centimeter volume an a cone has the same height and radius as the cylinder what is the volu
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!