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s344n2d4d5 [400]
3 years ago
14

Does each set of side lengths form a right triangle 10 m, 11 m, 15 m or 15 m, 8 m, 17 m,

Mathematics
2 answers:
IrinaVladis [17]3 years ago
6 0
Can you be a little more specific please
zhannawk [14.2K]3 years ago
4 0

10m, 11m, 15m is not a right triangle

15m, 8m, 17m is a right triangle

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The administrator of a $200,000 trust fund must adhere to following guidelines.
skelet666 [1.2K]

Step-by-step explanation:

let us give all the quantities in the problem variable names.

x= amount in utility stock  

y = amount in electronics stock  

c = amount in bond

“The total amount of $200,000 need not be fully invested at any one time.”

becomes

x + y + c ≤ 200, 000,

Also

“The amount invested in the stocks cannot be more than half the total amount invested”

a + b ≤1/2 (total amount invested),

=1/2(x + y + c).

(x+y-c)/2≤0

“The amount invested in the utility stock cannot exceed $40,000”

a ≤ 40, 000

“The amount invested in the bond must be at least $70,000”

 c ≥ 70, 000

Putting this all together, our linear optimization problem is:

Maximize z = 1.09x + 1.04y + 1.05c

subject to

x+ y+ c ≤ 200, 000

x/2 +y/2 -c/2 ≤ 0

              ≤ 40, 000,

              c ≥ 70, 000

a ≥ 0, b ≥ 0, c ≥ 0.

3 0
3 years ago
Carlos has at most $40 to spend on food for a barbeque. He wants to buy hot dogs and hamburgers and then
poizon [28]

Answer:

$8.50

Step-by-step explanation:

I don't know what Alls are, but if Carlos insists, we can calculate how much he can spend on Alls with the expression:

($31.50) + r \leq $40

This says the sum of what Carlos has already spent (hot dogs and hamburgers) plus the amount he spends on Alls (rolls?), r,  must be equal to or less than the $40 he has allowed himself to spend.

($31.50) + r \leq $40

r  \leq $40 - $31.50

r \leq $8.50

3 0
2 years ago
1. Solve the system of equations by graphing:
rjkz [21]

Answer:


Step-by-step explanation:

y = -3x - 3


m = -3_______


b = -3________  

y = 2x + 2


m = 2_______


b = _2_______


SOLVE NOW   :  -3x - 3  = 2x + 2


- 5x = 5

x = -1

subst in y : y = 2(-1)+2 = 0

the solution is : ( - 1 , 0 )

y = -3x- 3 an equation for the line 'red'    

y = 2x+2 an equation for the line 'bleus'


3 0
3 years ago
A box of granola contains 16.8 ounces. It costs $5.19. What is the cost, to the nearest cent, of the granola per ounce?
Keith_Richards [23]

Answer:

$0.3 per ounce.

Step-by-step explanation:

5.19/16.8=0.3

5 0
2 years ago
If m∠XWY=20∘,m∠XWZ=40∘, and XY = 16, what is the value of YZ?
Blababa [14]

Answer:

YZ=16

Step-by-step explanation:

Because they are parallel

8 0
3 years ago
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