Mathematics, 16.07.2019 15:00, bobxspam

Nadine is making a quilt. she can use a rectangle of any length and width, as long as the angles in the shape are right angles. which pieces of fabric can nadine use in the quilt? check all that apply. fabric 1 length: 5 cm width: 12 cm diagonal: 13 cm fabric 2 length: 8 cm width: 6 cm diagonal: 10 cm fabric 3 length: 4 cm width: 5 cm diagonal: 6 cm fabric 4 length: 10 cm width: 8 cm diagonal: 12 cm fabric 5 length: 6 cm width: 4 cm diagonal: 8 cm fabric 6 length: 8 cm width: 15 cm diagonal: 17 cm fabric 1 fabric 2 fabric 3 fabric 4 fabric 5 fabric 6

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The answer would be Fabric 6. To solve this problem, you would need to use the Pythagorean Theorem. 8² + 15² equals 17², which assures that the angles in the shape would be right angles.

answered: bbh22

Fabric 1, 2 and 6 can be used by Nadine.

Step-by-step explanation:

When the diagonal and length and width are given, we can assume that if the sum of squares of length and width is equal to he square of diagonal, then it will be a right angle.

We will use Pythagoras theorem here:

$a^{2}+b^{2}=c^{2}$

We will check all the fabrics.

Fabric 1

length: 5 cm

width: 12 cm

diagonal: 13 cm

$5^{2} +12^{2} =13^{2}$

25+144=169

169=169 (yes)

Fabric 2

length: 8 cm

width: 6 cm

diagonal: 10 cm

$8^{2} +6^{2} =10^{2}$

64+36=100

100=100 (yes)

Fabric 3

length: 4 cm

width: 5 cm

diagonal: 6 cm

$4^{2} +5^{2} =6^{2}$

16+25=36

$41\neq 36$ (no)

Fabric 4

length: 10 cm

width: 8 cm

diagonal: 12 cm

$8^{2} +10^{2} =12^{2}$

64+100=144

$164\neq 144$ (no)

Fabric 5

length: 6 cm

width: 4 cm

diagonal: 8 cm

$4^{2} +6^{2} =8^{2}$

16+36=64

$52\neq 64$ (no)

Fabric 6

length: 8 cm

width: 15 cm

diagonal: 17 cm

$8^{2} +15^{2} =17^{2}$

64+225=289

289=289 (yes)

Therefore, fabric 1, 2 and 6 can be used by Nadine.

answered: Guest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

answered: Guest

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step-by-step explanation:

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Nadine is making a quilt. she can use a rectangle of any length and width, as long as the angles in...