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insens350 [35]
3 years ago
13

Determine whether the given measures can be the lengths of the sides of a triangle write yes or no

Mathematics
1 answer:
ohaa [14]3 years ago
3 0

NO.,the given measures can not be the lengths of the sides of a triangle

Step-by-step explanation

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

so, Find the range for the measure of the third side of a triangle given the measures of two sides.

here given measures are 2,2,6

2+2 = 4 which is less than the third side 6

        = 4 < 6    

This not at all a triangle.

Hence, the given measures can not be the lengths of the sides of a triangle

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Solve for y in the following equation.
Tju [1.3M]

Answer:

y = \frac{z^2 - x}{2}

Step-by-step explanation:

Given:

\sqrt{x + 2y} = z

Required:

Solve for y (make y the subject of the formula)

SOLUTION:

\sqrt{x + 2y} = z

Square both sides

(\sqrt{x + 2y})^2 = z^2

x + 2y = z^2

Subtract both sides by x

2y = z^2 - x

Divide both sides by 2

y = \frac{z^2 - x}{2}

5 0
3 years ago
The symphonic choir and the jazz choir are recording songs for an album. The album can be no more than 72 minutes long. The jazz
zimovet [89]

Answer:

The symphonic choir can record a maximum of 14 songs.

Step-by-step explanation:

We know that the album cannot be more than 72 minutes long, and the jazz choir records a total of 7 (3min) = 21  song minutes.

If we call c the number of songs the symphonic choir records , and each song is 3.5 minute long, then the song minutes for the symphonic choir are 3.5c; therefore, we have the inequality

3.5c+21\leq 72<em> (this says the song minutes for jazz choir plus song minutes for symphonic choice cannot exceed 72 minutes )</em>

We solve this inequality by subtracting 21 from both sides and then dividing by 3.5:

3.5c\leq 51

$c\leq \frac{51}{3.5} $

c\leq 14.47

The maximum integer value c can take is 14; therefore, the maximum number of songs the symphonic choir can record is 14 songs.

3 0
3 years ago
Humans have a normal body temperature of 98.6 F A temperature, x, that differs from normal by at least 2°F is considered unhealt
Romashka-Z-Leto [24]

Answer: 98.6 - x ≥ 2 or x - 98.6 ≥ 2  

Step-by-step explanation:

Since, the normal temperature = 98.6° F

Also, the temperature that differs from normal by at least 2°F is considered unhealthy.

If the temperature is x degree F,

Then, we have two conditions,

Condition 1 : x > 98.6,

The difference between 98.6 and x = x - 98.6

Then the inequality be,

x - 98.6 ≥ 2

Condition 2 : x < 98.6

The difference between 98.6 and x = 98.6 - x

Then the inequality be,

98.6 - x ≥ 2

3 0
3 years ago
You and two friends share 7 cookies equally. How many cookies do you each get?
Ivahew [28]
4 cookies because three divided by seven equals three hope I helped
5 0
3 years ago
Read 2 more answers
Hiiii
bezimeni [28]

Answer:

5 and -5 (±5)

Step-by-step explanation:

x²-8=17

x²=25

√x²=√25

x=±5

3 0
3 years ago
Read 2 more answers
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