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ELEN [110]
3 years ago
9

Mrs. Welch and her 7 children are shopping at a local grocery store. Each of the children will be allowed to select one box of c

ereal for their own from the 8 different boxes of cereal available​ (there are no two the​ same). In how many ways can the selections be​ made?
Mathematics
1 answer:
Sholpan [36]3 years ago
7 0

Answer: I am pretty sure the answer is 40,320

Step-by-step explanation:

If you do 8x7x6x5x4x3x2 it equals 40,320

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A line contains the points (82, −96) and (87, −86) .
mezya [45]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (82, - 96) and (x₂, y₂ ) = (87, - 86)

m = \frac{-86+96}{87-82} = \frac{10}{5} = 2

3 0
3 years ago
ASAP Plz what is the value of x? Plz no joking around this is from quiz 4.09: Special Right Triangles 2
Sunny_sXe [5.5K]
Ooh this is a good one!
Firstly, let's find RT so that we can solve the top triangle.
We could actually use 3 methods to find this side: 1) trig to find RT
2) trig to find ST, then Pythagorean Theorem to determine RT
3) use the special 30-60-90 right triangle rule ... hmm, I'm going with the last because it's easiest ;)

For 30-60-90 triangles, the sides are always as follows: smallest side (opposite the 30) is s, the middle side is sSR3, and the hypotenuse is 2×s
Thus, since we have the side opposite 60, it is = sSR3, so:
s \sqrt{3}  = 2 \sqrt{3}  \\ s \sqrt{3} \div  \sqrt{3}   = 2 \sqrt{3} \div  \sqrt{3}  \\ s = 2
So now, the hypotenuse (RT) = 2s = 2(2) = 4

Secondly, we are looking at the other type of special right triangle, the 45-45-90:
The side opposite the 45s are s (remember side lengths are equal whose opposite angles are equal); and the hypotenuse is always
s \sqrt{2}
we only need QR, which is s, which is also = RT
So the answer is:
QR = x = 4

x = 4 IS THE FINAL ANSWER!!!


[ i hope by my explanations you understand how better to do special right triangles in the future] :-D
8 0
3 years ago
Read 2 more answers
SOmeone SMART HELP ME OMG
Anastaziya [24]

Answer:

x = 7, arc DE = 198°

Step-by-step explanation:

Inscribed angles from the same arc are congruent.

∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus

12x + 15 = 3x + 78 ( subtract 3x from both sides )

9x + 15 = 78 ( subtract 15 from both sides )

9x = 63 ( divide both sides by 9 )

x = 7

Thus

∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°

The inscribed angle DCE is half the measure of its intercepted arc, thus

arc DE = 2 × 99° = 198°

6 0
3 years ago
Somebody please help.
Rina8888 [55]
Hey, what do you need help with ?
8 0
3 years ago
Read 2 more answers
Please Help!<br><br><br><br> B belongs to AC D belongs to lineAF
Anvisha [2.4K]

Answer:

x = 27

Step-by-step explanation:

∠ CAD and ∠ EDF are corresponding angles and are congruent, so

∠ CAD = 2x

The sum of the 3 angles in Δ ABD = 180°

sum the angles and equate to 180

72 + 2x + 2x = 180

72 + 4x = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

5 0
3 years ago
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