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kherson [118]
3 years ago
5

Each one of the letters in the word SMACKS is written on a separate card and placed in a hat. What is the probability of getting

a consonant ?
Mathematics
1 answer:
cluponka [151]3 years ago
3 0

If you write each letter on a separate card, you'll end up with 6 cards.

Only one of these cards (the one with 'A') has a vowel, the other 5 have a consonant.

So, we in 5 cases out of 6 we will pick a consonant, i.e. we pick a consonant with probability 5/6

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Which figure will tessellate the plane? A. regular pentagon B. regular decagon C. regular octagon D. regular hexagon
Harrizon [31]
<h3>Answer: D. regular hexagon</h3>

A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)

In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.

5 0
3 years ago
Barry owns a music store, He recorded the sales of a newly launched album as part of his biweekly inventory. The table shows the
dimulka [17.4K]
Hi! Basically, the problem is asking us to find the values of a, b, and c in the equation f(x)=a x^{2} +bx+c. Since we have three unknowns, we just need three equations. We can find these equations by using the data in the table.

First let's plug x = 0 and f(x) = 0.
0=0+0+c
c=0

Now that we know c, it's time to pick two more pairs. Let's plug-in (2,78) and (4,152)

78=4a+2b
152=16a+4b

Before proceeding with the process of eliminating one variable, let us first reduce both equations to their lowest terms. We divide the first equation by 2 and we divide the second one by 4.

39=2a+b
38=4a+b

Next, we subtract equation 2 from equation 1.

1=-2a
a=-0.5

Finally, we substitute the value of a to equation 2 to get the value of b.

38=4(-0.5)+b
b=40

Therefore, the function should be f(x)=-0.5 x^{2} +40x
5 0
3 years ago
Read 2 more answers
Which of the following is equivalent to -2/3?
arlik [135]

Answer:

Step-by-step explanation:

-2/3 = -4/6 = -6/9 = -8/12

= -10/15 = -12/18 = -14/21 = -16/24

= -18/27 = -20/30 = -22/33 = -24/36

= -26/39 = -28/42 = -30/45 = -32/48

= -34/51 = -36/54 = -38/57 = -40/60

= -42/63 = -44/66 = -46/69 = -48/72

= -50/75 = -52/78 = -54/81 = -56/84

= -58/87 = -60/90 = -62/93 = -64/96

= -66/99 = -68/102 = -70/105 = -72/108

= -74/111 = -76/114 = -78/117 = -80/120

= -82/123 = -84/126 = -86/129 = -88/132

= -90/135 = -92/138 = -94/141 = -96/144

= -98/147 = -100/150 = -102/153 = -104/156

= -106/159 = -108/162 = -110/165 = -112/168

= -114/171 = -116/174 = -118/177 = -120/180

= -122/183 = -124/186 = -126/189 = -128/192

= -130/195 = -132/198 = -134/201 = -136/204

= -138/207 = -140/210 = -142/213 = -144/216

= -146/219 = -148/222 = -150/225 = -152/228

= -154/231 = -156/234 = -158/237 = -160/240

= -162/243 = -164/246 = -166/249 = -168/252

= -170/255 = -172/258 = -174/261 = -176/264

= -178/267 = -180/270 = -182/273 = -184/276

= -186/279 = -188/282 = -190/285 = -192/288

= -194/291 = -196/294 = -198/297 = -200/300

5 0
3 years ago
Brainliest, What is k ?
Ray Of Light [21]

Answer:

k=1

Step-by-step explanation:

Since the coefficient of x^{3} is 1, that is what you put for k

4 0
2 years ago
How many 12 hours periods (half days) will pass after 25 hours? Enter only the whole number of period that have passed?
shtirl [24]

Answer:

2

Step-by-step explanation:

12 + 12 = 24

7 0
2 years ago
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