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4 years ago

12

You need to arrange eight of your favorite books along a small shelf. How many different ways can you arrange the books, assumi

ng that the order of the books makes a difference to you?

1 answer:

satela [25.4K]4 years ago

3 0

Answer: 40, 320 ways

8!= 8*7*6*5*4*3*2*1

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HELP ME ASAP PLIS. This is the last question I don’t get it please help me people

ipn [44]

Answer:

Component Form: v = <-1,6>

Magnitude of v: ||v|| = √37

Direction of v: θv = 100° (to the nearest degree)

Step-by-step explanation:

Component Form: v = <(5-6),(3-(-3))> = <-1,6>

Magnitude of v: ||v|| = √[(-1)²+(6)²] = √(1+36) = √37

Direction of v: α = tan⁻¹|6/-1| = tan⁻¹|-6| = tan⁻¹(6) = 80.53° which is your reference angle, but to verify that the angle is in the second quadrant, you'll need to do θv = 180° - 80.53° = 99.47°, therefore your direction angle is θv=100° to the nearest degree.

4 0

3 years ago

Choose the correct description of the graph of the compound inequality x − 2 > −4 and 3x less than or equal to 15.

Evgesh-ka [11]

Answer:

A number line with an open circle on −2, a closed circle on 5, and shading in between

Step-by-step explanation:

solve it you get x>-2

and 3x <=15

x<=5

so its close on 5 and open on -2

7 0

3 years ago

Given that El bisects ZCEA, which statements must be

Alexxx [7]

Question: Given that BE bisects ∠CEA, which statements must be true? Select THREE options.

(See attachment below for the figure)

m∠CEA = 90°

m∠CEF = m∠CEA + m∠BEF

m∠CEB = 2(m∠CEA)

∠CEF is a straight angle.

∠AEF is a right angle.

Answer:

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle

Step-by-step explanation:

Line AE is perpendicular to line CF, which is a straight line. This creates two right angles, <CEA and <AEF.

Angle on a straight line = 180°. Therefore, m<CEA + m<AEF = m<CEF. Each right angle measures 90°.

Thus, the three statements that must be TRUE are:

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle

3 0

3 years ago

Another quadratic formula and the discriminant problem that I am stuck on. the answer is {2, 1/2}

Alina [70]

Answer:

See explanation

Step-by-step explanation:

$2b^2-5b+2=0$

$b=\dfrac{5\pm\sqrt{25-16}}{4}=\dfrac{5\pm3}{4}=\dfrac{8}{4}, \dfrac{2}{4}=2,1/2$

Hope this helps!

7 0

3 years ago

Find the measure of the exterior angles of the following regular polygons: a triangle, a quadrilateral, a pentagon, an octagon,

musickatia [10]

Answer:

Triangle: 120

Quadrilateral: 90

Pentagon: 72

Octagon: 45

Decagon: 36

30-gon: 10

50-gon: 7.2

100-gon: 3.6

Step-by-step explanation:

360/n = the measure on the exterior angle

n = the number of sides

6 0

3 years ago