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Veseljchak [2.6K]
3 years ago
11

Giving out brainliest answer !!!! help me out asap please !!!!

Mathematics
1 answer:
valentinak56 [21]3 years ago
5 0

Answer:

8.07

Step-by-step explanation:

sin(48)=x/6

6sin(48)=x

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please write in english i cannot understand

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Robert has a monthly income of $1,650.00. His monthly mortgage payment is $675.00. What percentage of his income does Robert spe
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40% of his income goes towards his mortgage.
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Calculate gcd(77, 30) by using the Euclidean algorithm. Find also integers u and v such that 49u + 30v = 1. Furthermore, find su
VladimirAG [237]

Answer:

1. gcd(77,30)=1

77=2*30+17\\30=1*17+13\\17=1*13+4\\13=3*4+1\\4=4*1+0

Since 1 is the last non zero remainder appearing in these equations then, 1 is the gcd of 77 and 30.

2. u=-11, v=18

Using the Euclidean Algorithm we have that

49=1*30+19\\30=1*19+11\\19=1*11+8\\11=1*8+3\\8=2*3+2\\3=1*2+1\\2=1*2+0

Now, we express the remainder as linear combinations of 49 and 30.

1&=3-2\\ &=3-(8-2*3)=3-8+2*3\\&=(11-8)-8+2(11-8)=3*11-4*8\\&=3*11-4(19-11)=7*11-4*19\\&=7(30-19)-4*19=7*30-11*19\\&=7*30-11(49-30)=\\&=18*30-11*49

Then 1=(-11)49+18*30

3. x=18

If 30x\equiv 1\text{mod 77} then

30x=k*77+1 for some k\in \mathbb{Z}.

Then, if k=7,

30x=7*77+1=540\\x=\frac{540}{30}=18

6 0
3 years ago
Find the volume of the cone with a height of 8 centimeters and a circumference of 18.84 centimeters. Round to the nearest tenth.
Maurinko [17]

Answer:

V≈75.3

Step-by-step explanation:

8 0
3 years ago
(1) An insurance agency sells various types of insurance policies. 40% of their clients buy auto insurance policies, 30% of thei
yaroslaw [1]

Answer:

55% or 0.55(as a decimal)

Step-by-step explanation:

40% of their clients buy auto insurance policies = P(A)

30% of their clients buy home insurance policies = P(H)

15% of their clients buy both home and auto insurance policies = P( A ∩ H)

The probability a randomly selected client buys a home or auto insurance policy = P (A ∪ H) is calculated as

P ( A ∪ H) = P(A ) + P ( H ) - P( A ∩ H)

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= 70% - 15%

= 55%

Therefore, the probability that a randomly selected client buys a home or auto insurance policy is 55% or expressed as decimal = 0.55

6 0
3 years ago
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