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jeka57 [31]
3 years ago
11

HELP ASAP (math)(6th grade)

Mathematics
1 answer:
nlexa [21]3 years ago
5 0
Answer: D 3/8,2/3,19/24
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Andrej [43]

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Answer:

  x = 3.6

Step-by-step explanation:

The angle bisector divides the triangle proportionally.

The base segment to the right of the bisector is 6-x, so we can write the proportion ...

  x/6 = (6-x)/4

Multiplying by 12, we get ...

  2x = 3(6 -x)

  5x = 18 . . . . . add 3x

  x = 18/5 . . . .  divide by 5

  x = 3.6

_____

<em>Alternate solution</em>

Since the base of the triangle is given as a left-part and a sum-of-both-parts, we can write the proportion the same way:

  left-part / sum-of-both-parts = x/6 = 6/(6+4)

Then the solution is x = 6(6/10) = 36/10 = 3.6.

Doing it this way avoids having x on both sides of the equation, so makes solving the equation be "one step."

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3 years ago
The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) = 13 x - x2. What
My name is Ann [436]

Answer:

The number of mosquitoes is maximum for 6.5 inches rainfall.

Step-by-step explanation:

The given function is

M(x)=13x-x^2                   .... (1)

where, M(x) is number of mosquitoes in millions and x the June rainfall in inches.

We need to find the rainfall that produces the maximum number of mosquitoes.

Differential the above function with respect to x.

M'(x)=13-2x               .... (2)

Equate first derivative equal to 0.

13-2x=0

2x=13

x=\frac{13}{2}=6.5

Differential function (2) with respect to x.

M''(x)=-2

Double derivative is negative. So, the value of function is maximum at x=6.5.

Therefore, the number of mosquitoes is maximum for 6.5 inches rainfall.

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3 years ago
A university surveyed its students on their opinions of campus housing. The following two-way table displays data for the sample
Mnenie [13.5K]

Answer:

90/200

Step-by-step:

Kahn Academy marked it correct

5 0
3 years ago
Please help!! ill give BRAINLIEST!!!
kenny6666 [7]

1. Isosceles, right.

2. Scalene, right.

3. Equilateral, acute.

4. Scalene, acute.

5. Isosceles, acute.

6. Scalene, obtuse.

7. Scalene, obtuse.

8. Scalene, obtuse.

9. Equilateral, acute.

10. Isosceles, obtuse.

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