Answer:
Part 1) The perimeter is
Part 2) The diagonal is
Step-by-step explanation:
<u><em>The question in English is</em></u>
You have a rectangle whose base is twice the height and its area is 12
square centimeters. Calculate the perimeter of the rectangle and its diagonal
step 1
Find the dimensions of rectangle
we know that
The area of rectangle is equal to
so
----> equation A
The base is twice the height
so
----> equation B
substitute equation B in equation A
Find the value of b
step 2
Find the perimeter of rectangle
The perimeter is given by
substitute
step 3
Find the diagonal of rectangle
Applying the Pythagorean Theorem
substitute
We have that
case 1)<span>system of equations is
</span><span>y=−12x−1
y=14x−4
using a graph tool
see the attached figure
the solution of the system is the point (0.115,-2.385)case 2)
</span>system of equations is
<span>blue line passing through coordinates A (0, -4) and B (4, -3)
</span><span>red line passing through coordinates C(0, -1) and D (4, -3)
</span>using a graph tool
see the attached figure
the solution of the system is the point (4,-3)<span>
</span>
Answer:
Option d. $22154 is the right answer.
Step-by-step explanation:
To solve this question we will use the formula
In this formula A = amount after time t
P = principal amount
r = rate of interest
n = number of times interest gets compounded in a year
t = time
Now Lou has principal amount on the starting of first year = 10000+5000 = $15000
So for one year
= $15900
After one year Lou added $5000 in this amount and we have to calculate the final amount he got
Now principal amount becomes $15900 + $ 5000 = $20900
Then putting the values again in the formula
So the final amount will be $22154.
They found 15 seashells ( can you make this a brainliest ansswer pls )
Answer:
The ratio of flour to sugar is 2:1
Step-by-step explanation:
Let f = weight of a bag of flour
Let s = weight of a bag of sugar
3f+2s = 32
4f = 32
We have 2 equations and 2 unknowns, we can solve
4f=32
Divide by 4
4f/4 = 32/4
f = 8
Each bag of flour weights 8 pounds
Substitute this back into the first equation
3(8) +2s = 32
24+2s = 32
Subtract 24 from each side
24-24 +2s =32-24
2s = 8
Divide by 2
2s/2 = 8/2
s = 4 pounds
Flours weighs 8 pounds and sugar weights 4 pounds
We want the ratio of flour to sugar
Flour: sugar
8:4
We can divide each side by 4
8/4: 4/4
2:1