Answer:
Lets mark the unmarked angle as angle A and the base of the building as BC
We can use tan to find this
tan=opposite/adjacent
by knowing the 2 interior angles we can calculate the measure of A sicne the interior angles of any triangle add up to 180
52+90+A=180
142+a=180
38=a
tan(38)=BC/300
300 tan(38)=bc
using a calculator we see that bc=234.385689 or 234meters rounded
Step-by-step explanation:
Answer:
a) there is s such that <u>r>s</u> and s is <u>positive</u>
b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r
Step-by-step explanation:
a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.
b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.
Answer:
The 18 ounce bottle costs less per ounce and is the better buy
Step-by-step explanation:
First find the cost per ounce for the 18 ounce bottle
1.10 / 18 =.0611111 per ounce
Then find the cost per ounce for the 38 ounce bottle
2.75 / 36 =.076388888
The 18 ounce bottle costs less per ounce
Answer:
5) 1.5 : 7
Step-by-step explanation:
I think for 4) you need only one ratio, for example
The ratio of lemon to sugar is
1 : 1,5
This is the same lik 2:3, or any other you wrote. So it is enough to write just one ratio.
5) also one ratio is enough, becuse all other are the same.
The ratio of cups od sugar to cups of water is 1.5 : 7.