Answer:
FALSE
Step-by-step explanation:
If y varies inversely as x., this is expressed as;
y = k/x
k is the proportionality constant
when y = 3 and x = 4
3 = k/4
k = 3 * 4
k = 12
when x = 15;
y = k/x
y =12/15
y = 4/5
Hence y is not equal to 12 when x = 15.
The correct answer is FALSE
Well, the numerator is the number on top, so in the fraction 3/5, 3 is the numerator. To find the equation with a denominator of 30 that is equivalent, find what the difference is. 30/5 = 6. So now, multiply the numerator by 6. 6 * 3 = 18. The new fraction is 18/30. The numerator is 18. Hope this helps!
Answer:
Calgary is the coldest
Step-by-step explanation:
The simple way to determine this will be to change the value of temperatures given in Fahrenheit to Celsius
32 F = 0°C
Formula to apply will be (T-32)×5/9 -------------where T is temperatures in Fahrenheit
Bangor is -3F-------------------change to Celsius
(-3-32)×5/9 =-35 × 5/9 = -19.44°C
Fairbanks is -12 ------------------------change to Celsius
(-12-32)×5/9 = -44 × 5/9 = -24.44°C
Fargo is -8 F ---------------------Change to Celsius
(-8-32)×5/9= -40×5/9 = -22.22°C
Calgary is -15 F-------------------------Change to Celsius
(-15-32)×5/9 = -47×5/9 = -26.11°C--------------coldest
The answer to this is y <= -8.
<span>If a triangle does not have one angle greater than 90°, then it is not an obtuse triangle.
Remember that you create a contrapositive by inverting and swapping both terms. So if you have
if A then B
the contrapositive would be
if not-B then not-A
Since you've been given
"If a triangle is an obtuse triangle, then it has one angle with measure greater than 90°"
the contrapositive would be something like
"If a triangle has no angles with a measure greater than 90°, then it is not an obtuse triangle."
So, now look at the available choices and see what matches in intent even if it's not phrased exactly the same.
The option
"If a triangle does not have one angle greater than 90°, then it is not an obtuse triangle."
matches the intent of the contrapositive that we constructed independently and is the correct answer.</span>
