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Blababa [14]
3 years ago
5

What is the length of a leg of an isosceles right triangle whose hypotenuse measures 6 inches? Let c represent the value of the

hypotenuse. If the hypotenuse is c = a, then 6 = a. In inches, what is the value of a? 3 6

Mathematics
2 answers:
Artemon [7]3 years ago
6 0

Perfect problem, excellent answer.


skad [1K]3 years ago
3 0
The answer depends on if the triangle is a 45-45-90 triangle or a 30-60-90 triangle. If it is a 45-45-90 triangle, then we would use the Pythagorean Theorem (a^2+b^2=c^2). plugging in the hypothesis, the equation would be a+b=36. If the legs are equal in the triangle, then each side would be the sqrt of 18 inches. Simplified, it would be 3r2.
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Seed costs for a farmer are $40 per acre for corn and $32 per acre for soybeans. How many acres of each crop should the farmer p
Natalija [7]

Answer:

40x+32y\leq 5,000\\x\geq 0, y\geq 0

Step-by-step explanation:

Let the number of acre of corn planted =x

Let the number of acre of soybeans planted =y

Seed costs for a farmer are $40 per acre for corn and $32 per acre for soybeans.

  • Seed Cost for x acre of corn = $40x
  • Seed Cost for y acre of soybeans = $32y

The farmer wants to spend no more than $5,000 on seed.

Therefore the linear inequality is:

40x+32y\leq 5,000\\x\geq 0, y\geq 0

Next, we graph the inequality

When$ x=0, y\leq156.25\\When$ y=0, x \leq 125

The graph is attached below.

4 0
3 years ago
You lose 5 points for every wrong answer in trivia game. What integer represents the change in your points after answering 8 que
salantis [7]
-5 * 8 = -40 losing would make your number be multiplied by the points lost each time
3 0
3 years ago
The number of acres a farmer uses for planting pumpkins will be at least 2 times the number of acres for planting corn. The diff
jeka94

Answer:

Step-by-step explanation:

A) Let x represent acres of pumpkins, and y represent acres of corn. Here are the constraints:

  x ≥ 2y . . . . . pumpkin acres are at least twice corn acres

  x - y ≤ 10 . . . . the difference in acreage will not exceed 10

  12 ≤ x ≤ 18 . . . . pumpkin acres will be between 12 and 18

  0 ≤ y . . . . . the number of corn acres is non-negative

__

B) If we assume the objective is to maximize profit, the profit function we want to maximize is ...

  P = 360x +225y

__

C) see below for a graph

__

D) The profit for an acre of pumpkins is the highest, so the farmer should maximize that acreage. The constraint on the number of acres of pumpkins comes from the requirement that it not exceed 18 acres. Then additional profit is maximized by maximizing acres of corn, which can be at most half the number of acres of pumpkins, hence 9 acres.

So profit is maximized for 18 acres of pumpkins and 9 acres of corn.

Maximum profit is $360·18 +$225·9 = $8505.

7 0
3 years ago
Which of these equations represent functions? Check all that apply. A. 3x2 - y2 = 1 B. y = 6x C. y = x2 - 2 D. y2 = x2
lara [203]
I'm pretty sure the answer is
<span>B. y = 6x
C. y = x2 - 2</span>
4 0
3 years ago
Read 2 more answers
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
Klio2033 [76]
The firs term
A(1)=-6+(1-1)(6)
A(1)=-6+(0)(6)
A(1)=-6



The fourh term
A(n)=-6+(n-1)(6)
A(4)=-6+(4-1)(6)
A(4)=-6+(3)(6)
A(4)=-6+18
A(4)=12


The tenth term
A(10)=-6+(10-1)(6)
A(10)=-6+(9)(6)
A(10)=-6+54
A(10)=48

Answer: 
D.  -6,12,48
6 0
3 years ago
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