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Aliun [14]
3 years ago
7

Aida owns a brick house in the country worth $95,000, and the contents of

Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0

Answer: A. 673.50

Step-by-step explanation:

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What is the length of the hypotenuse of the triangle?
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Step-by-step explanation:

Hey there!

Here;

ABC is a Right angled triangle.

Taking reference angle as angleA.

Now;

Hypotenuse (h) = AB

Perpendicular (BC)= 24 ft.

Base(AC)= 10 ft.

Now, Using Pythagoras relation;

h =  \sqrt{ {p}^{2}  +  {b}^{2} }

Put all values.

h =  \sqrt{ {24}^{2}  +  {10}^{2} }

Simplify it.

h =  \sqrt{576 + 100}

h =  \sqrt{676}

Therefore, h= 26ft.

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What number is 10 more than 89
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Find the smallest positive integer solution to the following system of congruences: x = 0 (mod 5) x = 8 (mod 11) The solution is
igomit [66]

Answer:

The smallest positive integer solution to the given system of congruences is 30.

Step-by-step explanation:

The given system of congruences is

x=0(mod5)

x=8(mod11)

where, m and n are positive integers.

It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as

x=5m

x=11n+8

5m\cong 11n+8

Now, we can say that m>n because m and n are positive integers.

For n=1,

5m=11(1)+8=19

5m=19

19 is not divisible by 5 so m is not an integer for n=1.

For n=2,

5m=11(2)+8

5m=30

m=6

The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

x=5(6)=30

Therefore the smallest positive integer solution to the given system of congruences is 30.

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