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3 years ago

Sandra has 18 yards of fabric. how many 4-inch Pisces can she cut from her original piece

1 answer:

6 0

She can cut up the 18 yards into 162 Pisces of 4 inches each. From those, if she works carefully, she can make 81 pairs of little Bootes.

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A surveyor leave her base camp and drive 42 km on a bearing of 032, she then drive 28km on a bearing of 154.How far is she then

aleksklad [387]

Answer:

Step-by-step explanation:

The scenario is represented in the attached photo. Triangle ABC is formed. AB represents her distance from her base camp. We would determine BC by applying the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b. It becomes

AB² = AC² + BC² - 2(AC × BC)CosC

AB² = 42² + 28² - 2(42 × 28)Cos58

AB² = 1764 + 784 - 2(1176Cos58)

AB² = 2548 - 1246.37 = 1301.63

AB = √1301.63

AB = 36.08 km

To find the bearing, we would determine angle B by applying sine rule

AB/SinC = AC/SinB

36.08/Sin58 = 42/SinB

Cross multiplying, it becomes

36.08SinB = 42Sin58

SinB = 42Sin58/36.08 = 0.987

B = Sin^-1(0.987)

B = 81°

Therefore, her bearing from the base camp is

360 - 81 = 279°

8 0

2 years ago

Please can anyone simplyfy that and can you tell the steps?

Leno4ka [110]

Answer:

we need an attachment we can’t see the question ma’am.

Step-by-step explanation:

6 0

2 years ago

A computer’s hard disk is spinning at 75 revolutions per second. How many degrees does it travel in a second? in a minute?

Lady_Fox [76]

Answer:

27000 degrees

Step-by-step explanation:

a circle is 360 degrees if it spun 75 times then it would be 75 x 360 which is equal to 27000

3 0

2 years ago

BRAINLIEST!!!

Sonbull [250]

Answer:

$\sqrt{37}$

Step-by-step explanation:

The distance d between a point (m , n ) and a line in the form

Ax + By + C = 0 , is calculated as

d = $\frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }$

Here (m, n ) = (6, 2 ) and

6x - y = - 3 ( add 3 to both sides )

6x - y + 3 = 0 → A = 6, B = - 1, C = 3

d = $\frac{|6(6)+-1(2)+3|}{\sqrt{6^2+(-1)^2} }$

= $\frac{|36-2+3|}{\sqrt{36+1} }$

= $\frac{|37|}{\sqrt{37} }$

= $\frac{37}{\sqrt{37} }$ × $\frac{\sqrt{37} }{\sqrt{37} }$

= $\frac{37\sqrt{37} }{37}$ ← cancel 37 on numerator/ denominator

= $\sqrt{37}$

7 0

2 years ago

a) Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0.59. If your monthly b

icang [17]

If 1 additional song costs $0.59, then there would be 26 additional songs downloaded. Because $15.34 divided by $0.59 is 26.

Let x be the number of songs downloaded.

x = 28 + (15.34/0.59)
x = 28 + (26)
x = 54

You have 54 songs downloaded on your tablet.

Hope this helps :)

7 0

3 years ago