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statuscvo [17]
3 years ago
9

Find each missing side, then the perimeter

Mathematics
1 answer:
Murrr4er [49]3 years ago
4 0

Answer:

A 10

B10

C10

in total is 106

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. Given that O is the centre of the following circle, find the values of the unknowns.​
alex41 [277]

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

3 0
3 years ago
The volume of the cube below is 250.047 m^3. The side length could be between which sets of numbers below?
Eva8 [605]

Step-by-step explanation:

The volume of the cube below is 250.047 m^3. The side length could be between which sets of numbers below?

A. 4 cm and 5cm

B 5cm and 6 cm

C. 6 cm and 7 cm

D. 7 cm and 8 cm

ans.C

4 0
2 years ago
Robby goes to the supermarket to buy a bag of chips. He brings $20 to the store and pays $3.79 for the chips. On the way home, h
maksim [4K]
Your answer is $17.56.
8 0
3 years ago
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1) Ethan put $700 into a Certificate of Deposit (CD) account that earns 1.8% interest each year. What will the interest of the C
Inga [223]

Answer:

The interest After 6 years is $ 79.03  

Step-by-step explanation:

Given as :

The principal amount deposited in account = $ 700

The rate interest earn = 1.8 % per year

The Time period = 6 years

<u>From Compounded Method </u>

Amount = Principal × (1 +\dfrac{\textrm Rate}{100})^{\textrm Time

Or, Amount = $ 700 × (1 +\dfrac{\textrm 1.8}{100})^{\textrm 6

Or, Amount =  $ 700 × 1.018^{6}

Or, Amount =  $ 700 × 1.1129

∴ Amount = $ 779.03

Now , Interest = Amount - Principal

I.e Interest = $ 779.03 - $ 700 = $ 79.03

Hence The interest After 6 years is $ 79.03  ,  Answer

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A box of 6 trophies costs 5$. How much would it cost to buy 48 trophies ?
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Do 48/6, then multiply the answer by $5
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