Answer:
The value of x is 12 feet
Step-by-step explanation:
The shape in question is a composite shape. We can see that x is both the base of the triangle and the breadth of the rectangle.
To get the area of the shape, we will have to add the area of the rectangle to the area of the triangle.
Area of rectangle = length X breadth
Area of triangle = 1/2 base X height.
However, to calculate the area of the triangle, we need to find its height first.
The next step is to get the height of the triangle. Observing the shape properly, we can see that we can get the height by subtracting the length of the rectangle from the overall length of the shape.
Height of triangle = 16 ft - 10 ft = 6 ft
recall area = 156 square feet.
We now have most of our missing dimensions
We can now set up an equation as follows:
Therefore the value of x is 12 feet
Use the Pythagorean theorem to find the diameter:
Diameter = √(19.3^2 - 9.5^2)
Diameter = √(372.49 - 90.25)
Diameter = √282.24
Diameter = 16.8 m
Volume of a cylinder = PI x r^2 x h
r = 1/2 diameter = 16.8 /2 = 8.4
h = 9.5 m
Volume = PI x 8.4^2 x 9.5
= PI x 70.56 x 9.5
= PI x 670.32
In terms of PI volume = 670.32PI
As a decimal:
670.32 x 3.14 = 2104.8048 = 2100m^3 ( rounded to the nearest hundred)
Answer:
..........
Step-by-step explanation:
Multiply by 3/5 (three fifths)
Answer:
720 grams of flour.
10.8 grams of salt.
14.4 grams of yeast
36 ml of oil.
Step-by-step explanation:
The recipe is:
600g flour
9g salt
12g yeast
30ml oil
500ml water
Now we use 600ml of water.
We can take the quotient between the amount of water we use and the amount of water in the recipe, this is:
600ml/500ml = 1.2
Then the ratio between the quantities we need to use and the quantities un the recipe should be always 1.2
Or the quantities that Eli needs to use will be 1.2 times the ones shown in the recipe.
Then she needs to use:
1.2*600g flour = 720 grams of flour.
1.2*9g salt = 10.8 grams of salt.
1.2*12g yeast = 14.4 grams of yeast
1.2*30ml oil = 36 ml of oil.
