Without actually drawing the figure, could you form a triangle using side lengths 7, 8, and 18 units? Why or why not.

Mathematics

2 answers:

Marysya12 [62]3 years ago

7 0

Answer:

Step-by-step explanation:

ZanzabumX [31]3 years ago

6 0

Here is an example you can learn from.

#1: Is it possible to form a triangle with the given side lengths? If not, explain why not. 1. 5 cm, 7 cm, 10 cm SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5 ANSWER: Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5

2. 3 in., 4 in., 8 in. SOLUTION: No; . The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ANSWER: 3+4*8

3. 6 m, 14 m, 10 m SOLUTION: Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6 . The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ANSWER: Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6

4. MULTIPLE CHOICE If the measures of two sides of a triangle are 5 yards and 9 yards, what is the least possible measure of the third side if the measure is an integer? A 4 yd B 5 yd C 6 yd D 14 yd SOLUTION: Let x represents the length of the third side. Next, set up and solve each of the three triangle inequalities. 5 + 9 > x, 5 + x > 9, and 9 + x > 5 That is, 14 > x, x > 4, and x > –4. Notice that x > –4 is always true for any whole number measure for x. Combining the two remaining inequalities, the range of values that fit both inequalities is x > 4 and x < 14, which can be written as 4 < x < 14. So, the least possible measure of the third side could be 5 yd. The correct option is B. ANSWER: B

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What's the answer to this please help. :)

Alexxandr [17]

I think the answer is 32 if I did my math right sorry if it wrong

6 0

3 years ago

Read 2 more answers

Working independently, Tina can do a certain job in 12 hours. Working independently, Ann can do the same job in 9 hours. If Tina

Leona [35]

Answer:

Ann would need 3 h to complete the remainder of the Job.

Step-by-step explanation:

Step 1.

The "speed" that each girl has to do the work is determined as:

Tina: $\frac{1}{12h}$ , it means that Tina complete one twelveth of the job each hour.
Ann: $\frac{1}{8h}$ , it means the Ann completes one eighth of the job each hour.

Step 2.

The amount of work done by Tina in 9 hours, is obtain multiplying by the "speed" calculated in step 1:

Amount of work done= $8 h*\frac{1}{12h} = \frac{2}{3}$ . It means that Tina completes two thirds of the work in 9 h.

Step 3.

The remaining job is calculated as $1-\frac{2}{3}=\frac{1}{3}$ . It means that still remains is one third of the job to be completed.

Step 4.

The time required for Ann to complete the job is calculated dividing the remaining of the job by the "speed" of Ann to do the job.

$\frac{\frac{1}{3}}{\frac{1}{9h}}=3h$ . It means that Ann would complete the job in another 3 hours.

3 0

3 years ago

43 base five to base seven

solong [7]

First convert to decimal:

$43_5=4\cdot5^1+3\cdot5^0=20+3=23$

Now convert this to base 7:

$\dfrac{23}7=3+\dfrac27$
$\dfrac27=0+\dfrac27$
$\implies23=43_5=32_7$

7 0

3 years ago

An arc subtends a central angle measuring \dfrac{\pi}{2}

Agata [3.3K]

Arc Length is 1/4th of the circumference .

Step-by-step explanation:

Here we need to find fraction of the circumference is this arc when An arc subtends a central angle measuring $\dfrac{\pi}{2}$ radians ! Let's find out :