Answer:
10^3=1000
Step-by-step explanation:
base^ans=number attatched to the log
Answer:
2835x^5.
Step-by-step explanation:
By Binomial Theorem, T(r+1) = nCr * a^(r+1) * b^r.
Term 5 = 7C4 * x^5 * 3^4
= 35 * x^5 * 3^4
= 2835x^5.
We want to find the value of cot(θ) given that sin(θ) = 3/8 and θ is an angle in a right triangle, we will get:
cot(θ) = (√55)/3
So we know that θ is an acute angle in a right triangle, and we get:
sin(θ) = 3/8
Remember that:
- sin(θ) = (opposite cathetus)/(hypotenuse)
- hypotenuse = √( (opposite cathetus)^2 + (adjacent cathetus)^2)
Then we have:
opposite cathetus = 3
hypotenuse = 8 = √(3^2 + (adjacent cathetus)^2)
Now we can solve this for the adjacent cathetus, so we get:
adjacent cathetus = √(8^2 - 3^2) = √55
And we know that:
cot(θ) = (adjacent cathetus)/(opposite cathetus)
Then we get:
cot(θ) = (√55)/3
If you want to learn more, you can read:
brainly.com/question/15345177
<span>statement is false:
D) 15% of her students are in biology...this is false
correct: 5</span>5% of her students are in biology