9514 1404 393
Answer:
4.1
Step-by-step explanation:
x is the short leg of a right triangle with hypotenuse 8.8 cm and longer leg 7.8 cm. Its measure is found using the Pythagorean theorem:
x^2 +7.8^2 = 8.8^2
x^2 = 77.44 -60.84 = 16.60
x = √16.6
x ≈ 4.1
Your answer is B) <span>∠4. Complementary angles are angles that add up to 90 degrees.
Hope this helps!
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If we write the first integer as the variable n, all numbers that come after it can be written as n+1, n+2, etc.
so the sum of four consecutive integers is:
sum = n + (n+1) + (n+2) + (n+3)
if we simplify:
sum = 4n +6
and if we want to know what the first integer is, we can re-write the equation as:
= n
and that is your answer.
Hello,
4. you have sequences defined by the first term and a recursive relation.
![a_1=3\\\\a_n=2a_{n-1} \ \ \text{ for n}> 1](https://tex.z-dn.net/?f=a_1%3D3%5C%5C%5C%5Ca_n%3D2a_%7Bn-1%7D%20%5C%20%5C%20%5Ctext%7B%20for%20n%7D%3E%201)
Take n = 2, it gives
, right?
But you know ![a_1=3](https://tex.z-dn.net/?f=a_1%3D3)
so ![a_2=2a_1=2*3=6](https://tex.z-dn.net/?f=a_2%3D2a_1%3D2%2A3%3D6)
This is the second term. You are asked to find the first three terms.
Now, let's take n = 3
![a_3=2a_2=2*6=12](https://tex.z-dn.net/?f=a_3%3D2a_2%3D2%2A6%3D12)
So the first three terms are 3, 6, 12.
6.
![a_1=12\\\\a_2=\dfrac{1}{2}a_1+1=\dfrac{12}{2}+1=6+1=7 \\ \\a_3=\dfrac{1}{2}a_2+1=\dfrac{7}{2}+1=\dfrac{9}{2}](https://tex.z-dn.net/?f=a_1%3D12%5C%5C%5C%5Ca_2%3D%5Cdfrac%7B1%7D%7B2%7Da_1%2B1%3D%5Cdfrac%7B12%7D%7B2%7D%2B1%3D6%2B1%3D7%20%5C%5C%20%5C%5Ca_3%3D%5Cdfrac%7B1%7D%7B2%7Da_2%2B1%3D%5Cdfrac%7B7%7D%7B2%7D%2B1%3D%5Cdfrac%7B9%7D%7B2%7D)
8.
![a_1=10\\ \\a_2=-3a_1=-3*10=-30\\\\a_3=-3a_2=-3*(-30)=90](https://tex.z-dn.net/?f=a_1%3D10%5C%5C%20%5C%5Ca_2%3D-3a_1%3D-3%2A10%3D-30%5C%5C%5C%5Ca_3%3D-3a_2%3D-3%2A%28-30%29%3D90)
10.
![a_1=2\\\\a_2=-1\\\\a_3=a_2+a_1=-1+2=1\\\\a_4=a_3+a_2=1-1=0](https://tex.z-dn.net/?f=a_1%3D2%5C%5C%5C%5Ca_2%3D-1%5C%5C%5C%5Ca_3%3Da_2%2Ba_1%3D-1%2B2%3D1%5C%5C%5C%5Ca_4%3Da_3%2Ba_2%3D1-1%3D0)
Do not hesitate if you have any question.
Thank you
Answer:
25
Step-by-step explanation:
The daughter is ten which means the wife is 30 (10*3) and the man is 5 years older than the wife (30+5). The man is 35 and the daughter is ten, so subtract ten years from the man (35-10) which means the man is 25 years old