Answer:
a=9
Step-by-step explanation:
To solve this proportion, we have to get the variable, a, by itself.
First, cross multiply.
6/a=18/27
Multiply the denominator of the first fraction by the numerator of the second, and the numerator of the second by the denominator of the first.
a*18=6*27
18a=162
Now, 18 and a are being multiplied. In order to get a by itself, perform the opposite of what is being done. They are being multiplied, so the opposite would be division. Divide both sides by 18.
18a/18=162/18
a=162/18
a=9
So, the proportion, with 9 substituted in for a, will be:
6/9=18/27
Answer:
3.7 < 4.7
Step-by-step explanation:
Find the square root of 3 (1.732 and I rounded to the tenth place) and add 2 then add 1.7 + 3 and 3.7 is less than 4.7
Answer:
1. y > −2 AND y < 2
Step-by-step explanation:
6 − 5y > −4 AND 7y + 20 > 6
-6 - 6 - 20 - 20
_________ _________
−5y > −10 AND 7y > −14
y < 2 AND y > −2
*Whenever you multiply\divide by a negative, you reverse the inequality symbol.
I am joyous to assist you anytime.
I'd suggest you write:
":<span>What is cos theta IF tan theta= 8/5?
tan theta = opp / adj = 8 / 5, so we know that opp = 8 and adj = 5. Then the length of the hypotenuse is sqrt(8^2+5^2) = 9.43.
Thus, the cosine of theta / cosine of this angle is
adj 5
----- = ---------- , or about 0.53.
hyp 9.43</span>
Answer: -6b - 12 + 8
Step-by-step explanation: To simplify/find an equivalent expression to -6(b + 2) + 8, we just need to get rid of the parentheses. This can be done by multplying -6 by everything insde the parentheses.
-6 × b = -6b
-6 × 2 = -12
Now, we add our answers together. Don't forget to add the 8 to the end!
-6b + -12 + 8
-6b - 12 + 8
Hope this was helpful! Let me eknow if you have any further questions. :)
