2 years ago

Use rounding or compatible numbers to estimate the sum. 256+321

1 answer:

3 0

256 being rounded would become 260 and 321 would become 320 so adding up the estimates the would be 580 (real answer is 577)

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The length of the hypotenuse of a right angled triangle exceeds the length of the base by 2cm and exceeds twice the length of th

insens350 [35]

Answer: a = 8; b = 15; c = 17

Step-by-step explanation:

c = b + 2 and c = 2a + 1

b = c − 2 and a = $\frac{c-1}{2}$

c² = b² + a²

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

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

$4c^{2}={4 (c^{2} + 4 -4c)+c ^{2} + 1-2c$

$4c^{2}={4 c^{2} + 16 -16c)+c ^{2} + 1-2c$

$c^{2}-18c+17=0$

$c(c -17)-1(c-17)=0$

$(c -1)(c-17)=0$

c = 1 or c = 17

If c = 1 then b = 1 - 2 = -1, that's not possible

So x = 17

b = 17 - 2 = 15

a = $\frac{17-1}{2} = 8$

Length sides of the triangle are 17 cm, 15 cm and 8 cm.

I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

$a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\$

This shows that this is correct.

Hope this helped! Again, some of this was from a site, not from me.

3 0

2 years ago

Meg has 32 feet of ribbon that she wants to divide into 4/5 of a foot pieces. How many 4/5 of a foot pieces are there in 32 feet

AveGali [126]

32 divided by 4/5=32*5/4/

simplify:8*5=40

there are 40 4/5 foot pieces in 32 feet

3 0

3 years ago

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Geometric mean is used to determine the scale of objects.<br><br> False<br><br> True

Ann [662]

The answer to this question is true

7 0

3 years ago

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An equation is shown below: 3(4x − 2) = 1 Which of the following correctly shows the first two steps to solve this equation?

Svetlanka [38]

Answer:

3(4x − 2) = 1

4x − 2 = 1/3

4x = 1/3 + 2

4x = 1/3 + 6/3

4x = 7/3

x = 7/12

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3 years ago

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Beth writes this problem:

Aneli [31]

250
1250 & 250 divided by 1250

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2 years ago