The two short sides must be longer than those required in an isosceles right triangle. The ratio of side length to hypotenuse length in a 45°-45°-90° triangle is 1 : √2. So, such a triangle requires side lengths of 30/√2 ≈ 21.213 inches. Its perimeter will be about
... (30 +21.213 +21.213) in = 72.426 in
Since the perimeter needs to be slightly longer than that for the triangle to be acute, the smallest possible perimeter is ...
... 72.43 in
Answer: B) one solution
Reason: if we solve for the sides of the equation by putting like terms together we get that x = 3
There is no solution when the numbers don’t equal each other, take for instance 1 = 2
It has infinite solutions when the numbers are equal to each other like
1 = 1
It has one solution when the x value is equal to something like x = 9
I also worked out the equation on paper, so you could get a more visual way of how I solved it.
Hope this helps
<u>Answer</u><u>:</u>
(i) = ⅙
(ii) = 1/12
<u>Step-by-step-explaination</u><u>:</u>
Each dice have 6 number
Then for 2 dice the total number is 12
Now,
(i) the same number on both dice.
Probability (P) = no. of outcome ÷ no. of total outcomes
P = 2 ÷ 12 = ⅙
(ii) different numbers on both dice.
Probability (P) = no. of outcome ÷ no. of total outcomes
P = 1 ÷ 12 = 1/12
<u>-TheUnknownScientist</u>
Answer:
a) x^2 + y^2
b) 9-xy
Step-by-step explanation:
Here, we want to write the algebraic statements as expressions;
a) The sum of the squares of x and y
The square of x is x^2
The square of y is y^2
The sum of the squares is x^2 + y^2
ii) Product of x and y subtracted from 9
The product of x and y is x * y = xy
Subtracting these from 9, we have;
9-xy