Answer:
Acute angles are less than 90 degrees, obtuse angles are more than 90 degrees, and right angles are exactly 90 degrees.Step-by-step explanation:
Step-by-step explanation:
S + L = 6 => L= 6-S
8S + 10L = 56
8S + 10(6-S) = 56
8S +60 -10S = 56
-2S = 56-60
-2S = -4
S = -4/-2
S = 2
=> S = small notebook = 2
L = large notebook = 6-2 = 4
Let (a) be the first cat
let (b) be the second cat
a +b=11kg-----(1)
a=b+1500g⇒(1.5 kg)-------(2)
so now u have a system of two unknowns
a=11-b
substitute a in (2)
11-b=b+1.5
11-1.5=2b
2b=9.5
b=9.5/2=4.75
subs. b in (1)
a+b=11
a+4.75=11
a=11-4.75=6.25
so cat (a) is 6.25 kg
and (b) is 4.75 kg
hope I helped
Answer:
The expression of the area of rectangle ABCD as simplified polynomial will be:
Hence, the 2nd option is correct.
Step-by-step explanation:
As we know that the area of a rectangle can be obtained by multiplying the length by the width.
i.e.
Given
The length of a rectangle ABCD = 
= 
The width of a rectangle = 
= 
so the expression of the area of rectangle ABCD as simplified polynomial will be:
![A=\left[\left(x+5\right)\:+\:\left(3x\right)\:+\:\left(4x-9\right)\right]\:\times \left[2x\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cleft%28x%2B5%5Cright%29%5C%3A%2B%5C%3A%5Cleft%283x%5Cright%29%5C%3A%2B%5C%3A%5Cleft%284x-9%5Cright%29%5Cright%5D%5C%3A%5Ctimes%20%5Cleft%5B2x%5Cright%5D)
Therefore, the expression of the area of rectangle ABCD as simplified polynomial will be:
Hence, the 2nd option is correct.
Responda:
1.) 6;
2.) d) O pai tem 36 anos e o filho tem 12 anos.
Explicação passo a passo:
1.)
Dada a equação: 3x - 4 = 14
3x = 14 + 4
3x = 18
Divida os dois lados por 3
x = 6
2) Dado que ;
Idade do pai = 3 vezes a idade do filho
Idade do pai + idade do filho = 48
Deixe a idade do pai = f; idade da criança = c
Matematicamente ;
f = 3c - - - (1)
f + c = 48 - - - - (2)
Substitua f = 3c em (2)
3c + c = 48
4c = 48
c = 48/4
c = 12
Substitua c = 12 em (2)
f + 12 = 48
f = 48 - 12
f = 36
Portanto ;
Idade do pai = 36 Idade da criança = 12
