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otez555 [7]
3 years ago
6

Find the value of x, rounded to the nearest tenth.

Mathematics
1 answer:
V125BC [204]3 years ago
7 0

Answer:

x=6.2

Step-by-step explanation:

So to find this we can use the trignometric function sin(Θ):

Perpendicular = x

Hypotonuse = 18

Θ = 20°

sin(Θ) = \frac{Perpendicular}{Hypotonuse}

Substituting our values we get:

Sin(20°) =\frac{x}{18}

Using a calculator we get:

0.34202 = \frac{x}{18}

x=0.34202*18

x=6.15636

So rounding that to the nearest tenth :

x=6.2

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The value of y varies directly with x. If x = 6, then y = 27. What is the value of y when x = 10 ?
Alik [6]
B - 45 because 27 divided by 6 is 4.5 and then 10x4.5=44
7 0
2 years ago
A person on a moving sidewalk travels 21 feet in 7 seconds. The moving sidewalk has a length of 180 feet. How long will it take
Debora [2.8K]

Answer:

180/3 60  second

Step-by-step explanation:

21/7 = 3 feet per second

3 0
2 years ago
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Two complex numbers are given byz1= 3 +j4 andz2= 2 +j3. Determine in both polar andCartesian forms
Marat540 [252]

Answer:

Cartesian

z₁= 3 +4*j

z₂= 2 +3*j

Polar

z₁=5 * e^ (0.927*j)

z₁=√13 * e^ (0.982*j)

Step-by-step explanation:

for the complex numbers z the cartesian form of is

z= x + y*j

then

1) z₁= 3 +4*j (cartesian form)

2) z₂= 2 +3*j (cartesian form)

the polar form is

z= r* e^jθ

where

r= √(x²+y²) → r₁ = √(3²+4²) = 5 ,  r₂ = √(2²+3²) = √13

and

θ = tan⁻¹ (y/x)  → θ₁  = tan⁻¹ (4/3)= 0.927 rad , θ₂  = tan⁻¹ (3/2)= 0.982 rad

then

z₁=5 * e^ (0.927*j)

z₁=√13 * e^ (0.982*j)

3 0
3 years ago
1.
Alekssandra [29.7K]

Answer:

The number of visit so that both plan cost same is 10 .

Both the plan has equivalent choice of benefit

Step-by-step explanation:

Given as :

A gym has two membership plans.

For Gold plan

The charge per month = $50  

The charge per visit = $3

For Platinum plan

The charge per month = $20  

The charge per visit = $6

Let The number of visit for which each plan be same = n visits

Now, According to question

<u>∵ Each plan cost to be same</u>

So,

The charge per month for gold plan+ The charge per visit × numbers of visit = The charge per month for platinum plan+ The charge per visit × numbers of visit

I.e $50 + $3 × n = $20 + $6 × n

Or, $50 - $20 =  $6 × n  -  $3 × n

Or, $30 = ($6 - $3) × n  

Or, $30 = $3 × n  

∴ n = \dfrac{30}{3}

I.e n = 10

So, The number of visits = n = 10

Now, For Gold plan

The charge per month = $50  

The charge per visit = $3 × 10 = $30

So, Total charge for gold plan = $50 + $30 = $80

Similarly For Platinum plan

The charge per month = $20  

The charge per visit = $6×10 = $60

So, For Platinum plan ,total charge = $20 + $60 = $80

Hence, The number of visit so that both plan cost same is 10

and both the plan has equivalent benefit. Answer

4 0
3 years ago
Combine like terms to create an equivalent expression. -2/3p + 1/5 - 1 + 5/6p
Marat540 [252]
Move the expression around so variables are with variables and numbers with numbers: 5/6p-2/3p+1/5-1

create a common denominator for variables and numbers: 5/6p-4/6p+1/5-5/5

simplify: 1/6p-4/5
5 0
3 years ago
Read 2 more answers
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