Answer:
The quadratic equation has two complex solutions
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
Equate to cero
so
substitute in the formula
Remember that

so
therefore
The quadratic equation has two complex solutions
Step-by-step explanation:
Divide 7560 by 9 you get 840. Then you times 840 by 4 you get 3360, Multiply 840 by 5 you get 4200.
Answer:
0.8041
Step-by-step explanation:
We know that
μ=72 and σ=5
and P(65<X<78)
We can determine the Z value as (X-μ)/σ
P( 65<X<78 )=P( 65-72< X-μ<78-72)


To fine the Z values:

From the standard normal tables:

to find P ( Z<-1.4)

From the standard normal tables:

Therefore


Answer:
1.- 140 in²
2.- 2.25 in²
3.- 43.25 in²
4.- 7.5 in²
5. 349.75 in²
Step-by-step explanation:
4 congruent triangles mean 4 triangles same measurement
area 1 triangle=(B*H)/2=(10*7)/2=35in²
for area of the roof are 4 by area 1 triangle=4*35=140 in²
2.- area hole. Hole is a square so area Is side by side
area=1.5*1.5=2.25
3.- area front except the hole. As the side of front is isosceles trapezoide which it’s area is (B1+B2)H/2 where B1=8 in and B2=5 in and H=7 in
so arera with hole=(8+5)*7/2=45.5 in²
Answer:
1 gallon
Step-by-step explanation:
Since the relationship is direct, meaning as the number of square feet decreases, the number of gallons also decreases.
3:900 = x:300
solution:
3(300) = 900x
900=900x
x=1