Answer: 16 inches
Step-by-step explanation:
The area of a triangle = bh/2
where b = base = unknown
h = height = 5 3/4 inches
Area = 46 inches²
Therefore, 46 = base × 5 3/4 / 2
Cross multiply
46 × 2 = base × 5 3/4
92 = base × 5 3/4
Base = 92 ÷ 5 3/4
Base = 92 ÷ 23/4
Base = 92 × 4/23
Base = 4 × 4
Base = 16 inches
Answer:
Step-by-step explanation:
We can add the two equations to eliminate 
and solve for 
.
Now, we can find for by using substitution:
(given)
Hope this helps :)
Answer:
a)E=.05t +34
b)$54
c)$600
Step-by-step explanation:
a) he gets 5% of tips out of all tips people gave to the restaurant , 5% --> .05 (as a decimal) --> this is "t"
he earns an extra $34 a night of work. --> this is the constant
E= --> the total earned that night
E=.05t +34
b) simply plug in the total tip into the equation
E=.05(400) + 34
E=$54
--> he earned $54 that night
c) since we are given the total earned that night, we now plug in for y. in this case we plug "$64" for y
we find t, which is tip the restaurant was given
--> 64 = .05t +34
-34. -34
30= .05t ---> divide by .05 each side
t= $600
the restaurant was tiped 600 dollars and Alun was paid 64 dollars that night of work
hoped this helped:)
Answer:
The factors of x^2+3x-4 are (x-1)(x+4) ....
Step-by-step explanation:
We have to find the factors of x^2+3x-4
As we know that this is a quadratic equation.
So we have to find the roots first.
The roots are -1 and 4.
Now completing the quadratic formula using the roots we have :
x^2+4x-x-4
Make a pair of first two terms and last two terms:
(x^2+4x)-(x+4)
Now take out the common from each pair:
x(x+4)-1(x+4)
(x-1)(x+4)
Thus the factors of x^2+3x-4 are (x-1)(x+4) ....
There are 5 less black kittens than there are gray. 7 - 2 = 5
Hope this helps! Let me know if you need any further assistance!
