We have this equation.
A²+B²=C²
We have bits of information that'll help us simplify the equation so there's only one variable.
The longer leg, A, is 3 inches more than the length of the shorter leg, B, tripled.
A=3B+3
Let's plug that in.
(3b+3)²+B²=C²
The hypotenuse, C, is 3 inches less than four times the length of the shorter leg. C=4B-3
Let's plug that in.
(3b+3)²+B²=(4B-3)²
Let's solve.
9B²+18B+9+B²=16B²-24B+9
10B²+18B+9=16b²-24b+9
Let's subtract 9 from both sides.
10b²+18b=16b²-24b
Let's subtract 10b² from both sides.
18b=6b²-24b
Let's add 24b from both sides.
42b=6b²
Let's divide each side by 6.
7b=b²
With this, you can tell that b is 7 since it times 7 equal itself squared.
The shorter leg is 7 inches.
Now, let's look back at the bits of information.
The longer leg of a right triangle is 3 inches more than the length of the shorter side tripled.
3(7)+3=24
So, the longer side is 24. We can either use the other information or plug it into the equation. We can do both.
The hypotenuse is 3 less than four times the shorter leg.
4(7)-3=25
7²+24²=
49+576=625
√625=25
So, the length of the hypotenuse is 25 inches.
Answer: I think the answer is B
Step-by-step explanation:
Answer:
$376,528
Explanation: You have to ÷ $4,518,336 by 12 because there is 12 months in 1 year. That equals 376,528. Therefore her average income was $376,528.
Answer:yes
Step-by-step explanation:
any number can be expanded. 200+50+08
Answer:
A 175/979 = M
Step-by-step explanation:
Si Matusalén vivió 979 años y Abraham vivió 175 esto quiere decir que abraham vivio menos años que Matusalén.
Por lo que la fracción va a tener que ser menor que 1 ya que al multiplicarla por la edad de Matusalén nos tiene que dar la de Abraham.
Tenemos que encontrar una fraccion que multiplicada por 979 nos de 175.
979 * X = 175
Tenemos que despejar la x y encontraremos el valor de la fraccion.
979 * X = 175
X = 175/979
Nos fijamos si se puede simplificar, no se puede asique este es el resultado final.
