This is a right triangle, so AC is a hypotenuse.
The other angles are each 45 degrees, so the legs AB and BC are equal length.
a^2 + b^2 = c^2
a = b
2a^2 = (5sqrt2)^2 = 50
a^2 = 25
a = 5
Answer: 5
Answer:
x>-9
Step-by-step explanation:
The given inequality is :
-3x - 7 < 20
We need to find the solution of the inequality using graph.
-3x - 7 < 20
Add 7 to both sides
-3x-7+7 < 20+7
-3x <27
x>-9
Hence, the attatched graph shows the solution of the given inequality.
Answer:
The trigonometric ratio that I would use to find the distance from the base of the tower to the keys is the tangent; tan (86°) = height / distance.
Step-by-step explanation:
You can draw a right triangle with angle 86°, opposite leg equal to the height (50 meter) and adjacent leg equal to the distance from the base of the tower to the keys: tan (86°) = 50 m / x
=> x = 50 m / tan(86°)
x = 50 m / 14.30 = 0.98 m
The change is given by the difference between how much you paid and how much you actually had to pay. For example, if you pay with a $50 bill and you had to pay $13, your change will be 
dollars.
In this case, we have
So, Gabriel's mistake was to leave the negative sign to the "-2" at the end of the expression, instead of flipping it to positive "+2" when subtracting it.
Answer:
a) 15:7
b) 1950 ml
c) There were 10 people in the group
Step-by-step explanation:
a) In its basic form, the ratio would be 750:350. However, to get it to it's most basic form, we must find the greatest common factor (GCF) of 750 and 350, which is 50. Then, we divide both numbers by the GCF so that 750 is 15 and 350 is 7. Therefore, the basic form of the ratio is 15:7.
b) First, we can find the amount of chicken stock needed for 12 people, which is just double of the recipe since the recipe is for 6 people. (900 * 2 = 1800). Then, we need to figure out how much chicken stock is required for one person since there are 13 and not 12. We can do this by multiplying 900 by 1/6 (since it's for 1 person out of the 6 people recipe) to get 150. Then, add the amount of chicken stock needed for 12 people and 1 person together. 1800 + 150 = 1950.
c) First, we must figure out how many grams of leeks are required for just one person. We can do this by taking the amount needed in the recipe (for 6 people) and dividing it by 6 to get the amount needed for 1 person. 750 divide by 6 is 125, so 125 g of leeks are required to make soup for 1 person. Then, we take the total amount of leeks that Delia used (1250) and divide that by 125 to get 10.
