Answer:
12/5 hours
Step-by-step explanation:
Let the total area to be painted be X
Let S be the rate at which Sally paints and J be the rate at which Joe paints
We have:
X/S = 4 hours (1)
X/J = 6 hours (2)
(1) ÷ (2) ==>
LHS = X/S ÷ X/j = X/S × J/X ==> J/S (3)
RHS = 4/6 = 2/3 (4)
From (3) and (4)
J/S = 2/3 or J =2/3 × S
If they both paint at the same time time taken is
X/(S+J)
S + J = S + 2/3 *S = 5/3S
So time taken for both of them to paint is X/(5/3)*S = X/S * 3/5
But we know from (1) that X/S = 4 so time taken = 4 * 3/5 = 12/5 hours
Answer: 88
Step-by-step explanation:
we
know that if we have a polynomial with real coefients and one root is
a+bi, another root is a-bi
so
some
roots are
3,-4,6+5i,
6-5i
for
roots, r1 and r2
teh
factors are
(x-r1)(x-r2)
so
we
can put them in and
(x-3)(x+4)(x-6-5i)(x-6+5i)
(x^2+x-12)(2x^2-12x+61)
x^4-11x^3+37x^2+205x-732
to
keep the same coefients, we multiply whole thing by c
c(x^4-11x^3+37x^2+205x-732)
we
don't know what c is
we
know that
f(1)=250
f(1)=c(x^4-11x^3+37x^2+205x-732)
find
c
f(1)=c(1^4-11(1^3)+37(1^2)+205(1)-732)=250
f(1)=c(-500)=250
-500c=250
divide
both sides by -500
c=-1/2
the
polynomial (factored with real coefients) is
f(x)=-0.5(x-3)(x+4)(2x^2-12x+61)
Answer:
4. (a) = 12 m
(b) = 27 cm
(c) = 24 mm
(d) = 18 km
(e) = 10 m
(f) = 36 cm
Step-by-step explanation:
Perimeter is sum the distance round a figure.
if a shape has those, they signify that the shape has two side that are equal
a) 4 + 4 + 2 + 2 = 12. The top part is equal to the bottom part signified by those two lines. And the left is equal to the right .
b) 10 + 10 + 7 = 27
c) 5 + 5 + 8 + 6 = 24
d) 3 + 3 + 6 + 6 = 18
e) 2.5 + 2.5 + 2.5 + 2.5 = 10
f) 12 + 7 + 7 + 5 + 5 = 36
If you need any clarification or more explanation pls do mention in the comment section. i would like to help more.
Hope this helps and if it does pls mark as branliest answer thx.