Answer:
1390 cm^3
Step-by-step explanation:
9 x 7 x 10 = 630 cm^3 for the rectang prism top
area * 10 for the bottom
8 x ( 12 + 7)/2 * 10 = 760 cm^3 for the trap base
total = 1390 cm^3
Answer:
Numbers =(6,-2 )
Step-by step explanation:
Given
the sum of two numbers is four and the sum of their squares minus three times their product is 76,
Let the first term =X
Second term will be=4-x
So
X^2+(4-x)^2-3x(4-x)=76
x^2+16+x^2-8x-12x+3x^2=76
5x^2-20x+16=76
5x^2-20x-60=0
5(x^2-4x-12)=0
So x^2-4x-12=0
x^2-(6-2)x-12=0
x^2-6x+2x-12=0
X(x-6)+2(x-6)=0
(X-6)(X+2)=0
X=6,-2
Let X=6 and -2 then numbers will be 6 and (4-6)=-2
Answer:
The amount of interest earned for the year is $37.7
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents principal or amount invested.
T represents the time
R represents the interest rate
I represents the interest
From the information given,
You want to put $580 into a saving account for 1 year. This means that
P = $580 and
T = 1 year
R = 6 1/2 = 6.5%
I = (580× 6.5×1)/100 = $37.7
Answer:
(-12,0)
Step-by-step explanation:
(-12,0)
(-4,2)
Answer:
y=5/3x-3
Step-by-step explanation:
first, let's put 3x+5y=15 into y=mx+b form
move 3x to the other side
5y=-3x+15
divide by 5
y=-3/5x+3
now, perendicular lines have slopes that are negative and reciprocal.
With our new equation we can automatically find the slope, which would be 5/3.
now, we need to find b
plug the points (3,2) into y=5/3x+b
2=5/3(3)+b
2=5+b
-3=b
so that means that our equation will now be
y=5/3x-3.
Hope this helps!
