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2 years ago

The circumference of a hula hoop is 86pi cm. What is the radius of the hula hoop?

Mathematics

2 answers:

charle [14.2K]2 years ago

4 0

Answer: 86pi

Step-by-step explanation:

spin [16.1K]2 years ago

4 0

Answer:

43 cm

Step-by-step explanation:

Hope this helps!

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Prove that if a and b are integers, then a^2-4b egal or non-egal 2

Lera25 [3.4K]

Answer:

tex]a^2 - 4b \neq 2[/tex]

Step-by-step explanation:

We are given that a and b are integers, then we need to show that $a^2 - 4b \neq 2$

Let $a^2 - 4b = 2$

If a is an even integer, then it can be written as $a = 2c$ , then,

$a^2 - 4b = 2\\(2c)^2 - 4b =2\\4(c^2 -b) = 2\\(c^2 -b) =\frac{1}{2}$

RHS is a fraction but LHS can never be a fraction, thus it is impossible.

If a is an odd integer, then it can be written as $a = 2c+1$ , then,

$a^2 - 4b = 2\\(2c+1)^2 - 4b =2\\4(c^2+c-b) = 2\\(c^2+c-b) =\frac{1}{4}$

RHS is a fraction but LHS can never be a fraction, thus it is impossible.

Thus, our assumption was wrong and $a^2 - 4b \neq 2$ .

7 0

3 years ago

Solve for x: 5(x-2)=2(10 x)

OverLord2011 [107]

Distribute
5x-10=20+2x
minus 2x both sides
3x-10=20
add 10 both sides
3x=30
divide both sides by 3
x=10

6 0

3 years ago

Maya runs 100m in 13.4s and Amy can run 100m in 14.1s. If Amy were to finish a 100m race at the same time as Maya, how much of a

tensa zangetsu [6.8K]

In this case we will use the general equation:

d = s t (distance = speed*time)

Therefore

Distance Amy can run in 13.4s:

d = (100m/14.1s)*(13.4s)

d = 95.04meters

Headstart needed = total distance - distance run in 13.4s (time Maya runs 100m)

headstart needed = 100-95.04 = 4.96meters

3 0

3 years ago

Choose the expression that is equivalent to 9w² +(20w² - 15w+10) +2w.

qaws [65]

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \: 9w² - 13w + 10$

____________________________________

$\large \tt Solution \: :$

$\qquad \tt \rightarrow \: 9 {w}^{2} + (20 {w}^{2} - 15w + 10) + 2w$

$\qquad \tt \rightarrow \: 9 {w}^{2} + 20 {w}^{2} - 15w + 10+ 2w$

$\qquad \tt \rightarrow \: 9 {w}^{2} + 20 {w}^{2} - 15w +2w + 10$

$\qquad \tt \rightarrow \: 29 {w}^{2} - 13w + 10$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

7 0

2 years ago

Which triangles are similar?

Nataly_w [17]

First row:
Triangle 1: 80, 62
Triangle 2: 62, 38

80+62+38=180

3 0

3 years ago