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2 years ago

Solve each equation | n/5| +1=2

Mathematics

2 answers:

erastova [34]2 years ago

4 0

Answer:

$|n \div 5| + 1 = 2 \\ |n \div 5| = 1 \\ n = 5$

allochka39001 [22]2 years ago

3 0

Answer:

|n|= 5

Step-by-step explanation:

|n/5|+1=2

|n/5|=2-1

|n/5|=1

|n|=5×1

|n|=5

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Use the Law of Sines to find the missing angle of the triangle.

Natasha2012 [34]

Answer:

m∠B = 70.0° (nearest tenth)

Step-by-step explanation:

<u>Sine Rule for Angles</u>

$\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}$

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Given:

a = 13
c = 19
A = 40°

Substituting the given values into the formula to find m∠C:

$\implies \sf \dfrac{\sin 40^{\circ}}{13}=\dfrac{\sin C}{19}$

$\implies \sf \sin C=\dfrac{19\sin 40^{\circ}}{13}$

$\implies \sf C=\sin^{-1}\left(\dfrac{19\sin 40^{\circ}}{13}\right)$

$\implies \sf m \angle C=69.96086904^{\circ}$

Interior angles of a triangle sum to 180°

$\implies \sf m \angle A+ m \angle B+m \angle C=180^{\circ}$

$\implies \sf 40^{\circ} + m \angle B+69.960...^{\circ}=180^{\circ}$

$\implies \sf m \angle B=70.03913...^{\circ}$

Therefore, m∠B = 70.0° (nearest tenth)

8 0

2 years ago

The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 othe

yawa3891 [41]

Solution :

Let the three places be 1, 2, 3, 4, 5, 6, 7, 8

a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2

= 14

[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]

Therefore the required probability is

$=\frac{14}{8!}$

= $\frac{14}{40320} = 0.000347$

b). The probability that the marketing director to be placed in the leftmost position is

$=\frac{7!}{8!}$

$=\frac{1}{8} = 0.125$

c). The two events are not independent because

$P(A \cap B) \neq P(A) \times P(B)$

$\frac{12}{8!} \neq \frac{14}{8!} \times \frac{1}{8}$

where A is the case a and B is the case b.

8 0

3 years ago

A rectangular piece of plastic has an area of 10 square millimeters and a perimeter of 22 millimeters. What are the dimensions o

storchak [24]

The piece of plastic have dinmensions of 1mm by 10mm

5 0

3 years ago

Helpppppp please!!??&/&8:(&

Oksi-84 [34.3K]

Answer:

14 square meters

Step-by-step explanation:

If you break the figure into two parts you get 3x2 and 2x4. Multiplying those will give you 6 and 8. Add 6 and 8 to get 14. Hope this helped! :D

3 0

4 years ago

manuel has $15 to spend.on apps and music. Apps cost $2 each and songs cost $1 each. If x represents the number of apps purchase

strojnjashka [21]

Answer:

2x + y = 15

Step-by-step explanation:

Total amount with Manuel = $15

Cost of apps = $2

Cost of song = $1

x = number of apps purchased

y = number of songs purchased

Cost of apps × number of apps purchased + Cost of song × number of songs purchased = Total amount with Manuel

2*x + 1*y = 15

2x + y = 15

The linear equation that represents the combination of apps and songs manuel can purchase is 2x + y = 15

6 0

3 years ago