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2 years ago

Find the circumference, rounding your answer to 1d.p.

Mathematics

1 answer:

Rama09 [41]2 years ago

6 0

Answer:

Can't see the attached image

Step-by-step explanation:

Post another question and make sure it has the image on it :)

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47% of 250 is what number

Cloud [144]

The answer is 117.5 or 117 1/2

8 0

3 years ago

Read 2 more answers

During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by

Alja [10]

Answer:

The numbers of measure of music played are 1 and 7

Step-by-step explanation:

Given

$s = 10|x - 4| + 50$

Required

Solve for x when s = 80

Substitute 80 for x

$80 = 10|x - 4| + 50$

Subtract 50 from both sides

$80 - 50= 10|x - 4| + 50 - 50$

$30= 10|x - 4|$

Divide through by 10

$\frac{30}{10}= \frac{10|x - 4| }{10}$

$3= |x - 4|$

Reorder

$|x - 4| = 3$

This can be split into

$x - 4 = 3$ or $x - 4 = -3$

Solve for x

$x = 4 + 3$ or $x = 4 - 3$

$x = 7$ or $x = 1$

Hence:

The numbers of measure of music played are 1 and 7

4 0

3 years ago

HELPPPP JUST 2 QUESTIONS BASED ON PYTHAGOREAN THEOREM AND IM CONFUSED HELPPPP

Anna007 [38]

9514 1404 393

Answer:

3. no; does not have the correct ratio to other sides

4. (1; right), (2; obtuse), (3; right)

Step-by-step explanation:

3. There are a couple of ways you can go at this.

a) the ratio of sides of a 30°-60°-90° right triangle (half an equilateral triangle) is 1 : √3 : 2. Here, the ratio of sides is ...

(√30/2) : √15 : √30 = 1 : √2 : 2 . . . . MQ is not the height

b) the height is perpendicular to the base, so if MQ were the height, the sides of the triangle would satisfy the Pythagorean theorem:

LQ² +MQ² = LM²

(√30/2)² +(√15)² = (√30)²

30/4 +15 = 30

22.5 = 30 . . . . NOT TRUE

The length MQ cannot be the height of ∆LMN. (It is too short.)

4. To see if these lengths form a right triangle, you can test them in the Pythagorean theorem relation. In the attached we have reformulated the equation so it gives a value of 0 if the triangle is a right triangle:

c² = a² +b² . . . . . Pythagorean theorem

c² -a² -b² = 0 . . . . rewritten

If the value of c² -a² -b² is not zero, then the side lengths do not form a right triangle. The attached shows this math performed by a graphing calculator. The results are ...

right triangle
not a right triangle — long side is too long, so the triangle is obtuse
right triangle

_____

Additional comment

The attached table demonstrates an artifact of computer arithmetic. Not all numbers can be represented exactly in a computer, so a difference that is expected to be zero using exact arithmetic may be slightly different from zero when computed by a computer or calculator. Here, we see a difference of about 6×10^-14 when zero is expected. On most calculators (with 10, or 12 displayed digits), this would be displayed as 0.

The same calculation done "by hand" gives ...

(√425)² -5² -20² = 425 -25 -400 = 0 . . . Triangle 1 is a right triangle