-18/35
is the answer hope I am helpful
I<span> found the graph choices: </span>
<span>Given:</span>
8 rose bouquets
6 daffodil bouquets
total of 14 bouquets
enough flowers left to make maximum of 20 bouquets.
x = additional rose bouquets
y = additional daffodil bouquets
20 maximum bouquets - 14 made bouquets = 6 additional bouquets
x + y = 6
y = 6 - x
x = 6 - y
If x = 0 then y = 6
If x = 6 then y = 0
If x = 4 then y = 2
If x = 2 then y = 4
Pls. see attachment for the correct graph.
Answer:
5/9 of the area of square ABCD is shaded
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
To find out what fraction of the area of square ABCD is shaded, divide the shaded area by the total area of square ABCD
step 1
Find out the area of square ABCD
The area of a square is

where
b is the length side of the square
we have

so


step 2
Find out the area of the 4 congruent right triangles
![A=4[\frac{1}{2}(x)(2x)]=4x^{2}\ units^2](https://tex.z-dn.net/?f=A%3D4%5B%5Cfrac%7B1%7D%7B2%7D%28x%29%282x%29%5D%3D4x%5E%7B2%7D%5C%20units%5E2)
step 3
Find out the area of the shaded region
The area of the shaded region is equal to the area of square ABCD minus the area of the 4 congruent right triangles
so

step 4
Divide the shaded area by the total area of square ABCD

therefore
5/9 of the area of square ABCD is shaded
Answer: 51.75
Step-by-step explanation: 15 precent of 45 is 6.75
Then add 45+6.75
Answer:
The height of the mast is 8√2 feet
Step-by-step explanation:
In this question, we are asked to calculate the height of the mast given the information in the question.
Please check the attachment for diagrammatic representation.
From the diagrammatic representation, we can conclude that we are asked to calculate the value of the third side of a right angled triangle, given the length of the two other sides.
Using the pythagoras’s theorem;
Square of hypotenuse = square of opposite + square of adjacent
From the diagram, we can see that the length of the cable represents the hypotenuse.
Hence;
AB^2= BC^2 + AC^2
12^2 = 4^2 + AC^2
144 = 16 + AC^2
AC^2 = 144 - 16
AC^2 = 128
AC = √128
AC = 8√2 feet