Answer:
8 square units and
square units
Step-by-step explanation:
The area of the triangle ABC is 24 square units.
1. Triangles ABC and FBG are similar with scale factor
then

2. Triangles ABC and DBE are similar with scale factor
then

3. Thus, the area of the quadrilateral DFGE is

and the area of the quadrilateral ADEC is

And what else is in the problem I do not get what the problem is
<span>Water flows into a tank according to the rate F of t equals the quotient of 6 plus t and the quantity 1 plus t , and at the same time empties out at the rate E of t equals the quotient of the natural log of the quantity t plus 2 and the quantity t plus 1 , with both F(t) and E(t) measured in gallons per minute. How much water, to the nearest gallon, is in the tank at time t = 10 minutes</span>
Answer:
9 ounces
Step-by-step explanation:
Let x be the ounces left in the box.
Given:
Total ounces in box = 24
Cara has eaten 3/8 of the box,
So, Cara eaten = 
Cara eaten = 
Cara eaten = 
Cara eaten = 
So, Cara has eaten 9 ounce of the box of cereal.
Glen has eaten 1/4 of the box of cereal.
So, Glan eaten = 
Glan eaten = 
Glan eaten = 
Glan eaten = 
So, Glan has eaten 6 ounce of the box of cereal.
Therefore, the sum of the Cara and Glan ounces =
.
So total left ounces in box = 24-15 = 9
Therefore, The ounces left in the box is 9.
Answer:
The longest length of the similar triangle is 7 inches
Step-by-step explanation:
If two triangles are similar, the ratio of their sides are equal
We shall be working the shortest and longest side of both
What we have here will be that;
The shortest length/ the longest length ratio in both triangles will be the same
Let the longest side of the similar triangle be x
8/14 = 4/x
8x = 4 * 14
x = (4 * 14)/8
x = 7 inches