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Luba_88 [7]
3 years ago
15

Solve each equation. Write null if the equation has no solution. Write all if all numbers solve the equation. Write fractions in

simplest form.
1)  33+a=12a
2)  -6n+2=4n-5
3)  2.4b-7=b+15.4
4)  4m/6=m+3
5)  4p+1/4=6p
6)  24-c=2(3+4c)
7)  3(5-2y)=4(y+20)
8)  5(2x+3)=3(x+2)+7x+9
9)  4(3k+6)=12(5+k)
10)  3(2n+4)+2n+56

PLEASE HELP ME WITH THIS QUESTION!!!!!!!
Mathematics
1 answer:
Mademuasel [1]3 years ago
6 0
1) 33+a=12a
33 = 11a
33/11 = a
a = 3

2) <span>-6n+2=4n-5
</span>2 = 10n-5
7=10n
n = 7/10
n = 0,7

<span>3) 2.4b-7=b+15.4
</span><span>2.4b=b+22.4
</span>1.4b=22.4
b = 22.4/1.4
b = 16

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S_A_V [24]

Answer:

61 degrees

Step-by-step explanation:

==>Given ∆MNO,

MO = 18,

MN = 6

m<O = 17°

==>Required:

Measure of <N

==>SOLUTION:

Use the sine formula for finding measure of angles which is given as: Sine A/a = Sine B/b = Sine C/c

Where,

Sine A = 17°

a = 6

Sine B = N

b = 18

Thus,

sin(17)/6 = sin(N)/18

Cross multiply

sin(17)*18 = sin(N)*6

0.2924*18 = 6*sin(N)

5.2632 = 6*sin(N)

Divide both sides by 6

5.2632/6 = sin(N)

0.8772 = sin(N)

sin(N) = 0.8772

N = sin^-1(0.8772)

N ≈ 61° (approximated)

8 0
3 years ago
the captain of a boat knows that the lighthouse on the coast is 200 feet tall. he measures the angle of elevation to the top of
krek1111 [17]

Answer:

The boat is 5727.25ft far from the coast

Step-by-step explanation:

Refer the figure given.

We need to find how far is the boat from the coast = AB

Angle of elevation = 2°

The lighthouse on the coast is 200 feet tall, AC = 200 ft

We have

           tan2=\frac{AC}{AB}=\frac{200}{AB}\\\\AB=\frac{200}{tan2}=5727.25ft

The boat is 5727.25ft far from the coast

7 0
3 years ago
The Organic Cafe recently served 9 cinnamon rolls and 9 other pastries. Considering this data, how many of the next 14 pastries
VladimirAG [237]

Answer

idk maybe 5 is the flvs?

Step-by-step explanation:

8 0
3 years ago
Р
saw5 [17]

Answer:

m<R ≈ 22.62°

Step-by-step explanation:

Reference angle = R

Side opposite to R = 5 cm

Adjacent side length = 12 cm

Thus, applying TOA, we have:

Tan R = opp/adj

Tan R = 5/12

R = tan^{-1}(5/12)

R ≈ 22.62° (nearest hundredth)

6 0
3 years ago
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Serga [27]

Answer:

10: m=2/3ns

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Step-by-step explanation:

4 0
3 years ago
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