Answer:
12 m
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh . . . . . b represents the base; h represents the height
We are told that the height is 5 m less than the base, so we have ...
42 = (1/2)(b)(b -5)
84 = b(b-5) . . . . . . . . multiply by 2
We want two factors of 84 that differ by 5. The factors are ...
84 = 1·84 = 2·42 = 3·28 = 4·21 = 6·14 = 7·12
The relevant factors are 7 and 12, so now we know b-5 = 7 and b = 12.
The length of the base is 12 m.
Answer:
36 flowers are left over
Step-by-step explanation:
54 is 60% of 90
90-54=36
Answer:
x - 1\x + 3
Step-by-step explanation:
Factoring quadratic expressions with a Leading Coefficient of 1 → In the first equation, you have to find two numbers that when differed to 5, they also multiply to 6, and those numbers are 1 and 6. Now, the tough part for you might be figuring out which term gets which sign. Well, if you look at your MIDST term [5], you would know that the negative symbol goes to 1 [-1] and the positive symbol goes to 6, so your numerator is <em>[</em><em>x</em><em> </em><em>-</em><em> </em><em>1</em><em>]</em><em>[</em><em>x</em><em> </em><em>+</em><em> </em><em>6</em><em>]</em><em>.</em><em> </em>Now, for the second equation, it is applied the same way, but in this case, we need two numbers that when added to 9, they also multiply to 18, and those numbers are 3 and 6, and automatically receive positive symbols, so your denominator is <em>[</em><em>x</em><em> </em><em>+</em><em> </em><em>3</em><em>]</em><em>[</em><em>x</em><em> </em><em>+</em><em> </em><em>6</em><em>]</em><em>.</em><em> </em>Now that we have our denominator and numerator, we now set it up: [x - 1][x + 6]\[x + 6][x + 3]. What do you see that is... MAGIC--AL? That is correct! The factors <em>x</em><em> </em><em>-</em><em> </em><em>6</em><em> </em>neutralize each other and are left with <em>x - 1\x + </em><em>3</em><em>.</em>
To be honest, if you had posted quadratic expressions with Leading Coefficients greater than 1, that would be a little bit more tough for you, meaning taking extra steps further, but if you post one in the future, it will be there to assist you because as always...,
I am joyous to assist anyone at any time.
Answer:
126,300.
Step-by-step explanation:
The square root is 3.741657387
So the square root should be 3.7