Step-by-step explanation:
16. Length of a line = sqaureroot of ((x1-x0)^2 - (y1- y0)^2)
C (2,-3) D (6,3)
CD = sqaureroot of ((6-2)^2 + (3-(-3))^2)
CD = sqaureroot of ( 16 + 36)
CD = sqaureroot of 52 = 2 root 13 = length
17. E (5, - 1) because the point is under the x axis.
Midpoint = ((x1+ x0)/2 , (y1 +y0) /2)
B (8,1) C (2, - 3)
Midpoint of BC = ((2+8)/2 , (-3+1)/2)
= (10/2 , - 2/2)
= (5, - 1)
18. Length of AE
A (4,5) E(5,-1)
Square root of ((5-4)^2 + (-1-5)^2)
Square root of (1^2 + - 6^2)
Square root of ( 1 + 36)
Square root of 37 = root 37
Please gimme brainliest
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.
Answer:
1. (a) a+b=86
2. (c) 5.99a+9.99b≤600
Step-by-step explanation:
1.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Gary is buying a memory sticks for each of the 86 teachers. Therefore the total sum of both 16gb and 32gb memory sticks should equal 86:
a+b=86
2.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Each 16gb memory stick cost $5.99, and each 32gb one costs $9.99. Therefore...
5.99a = total cost of 16gb memory sticks
9.99b = total cost of 32gb memory sticks
Gary has to spent an amount less than or equal to $600. Therefore, the total sum of the costs of both 16gb and 32gb memory sticks should be less than or equal to 600:
5.99a+9.99b≤600
Answer:
x = 18
m = 21.2
p = 31.8
Step-by-step explanation:
The ratio of the left-side length to the bottom-side length is the same for both triangles:
x/11.2 = (x +27)/28
28x = 11.2(x +27) = 11.2x +302.4 . . . . . multiply by 11.2·28
16.8x = 302.4 . . . . . . . subtract 11.2x
x = 18 . . . . . . . . . . . . divide by 16.8
__
The length of m can be found using the Pythagorean theorem. The sum of the squares of the legs is the square of the hypotenuse.
x^2 +11.2^2 = m^2
m = √(324 +125.44) = √449.44 = 21.2
__
The length of p can also be found using the Pythagorean theorem. We prefer the proportion ...
p/27 = m/x
p = 27(21.2/18) = 31.8
The lengths of the unknown sides in the figure are ...
x = 18
m = 21.2
p = 31.8
you will be left with 12 dollars.
<u>
</u><u>Step-by-step explanation:
</u>
Given:
The actual money you have = 10 dollars.
The bet amount for each trade= 1$
For each win, you get extra +1 dollar.
Step 1:
So, you won 6 trades= (6*1)= 6$
Step 2:
For each lose, you loss -1 dollar.
Step 3:
So, you lose 4 trades= (4)*(-1)= -4$
Step 4:
After 10 trades, the money you earned is= 6$ -4$= 2 dollars.
Finally, the total money left after 10 trades is= actual money + earned money
= $10 + $2= 12 dollars.
