Find the value of x.

Answer:

If in rectangular coordinates we have a point (x, y), then the angle defined between the x-axis and a ray that connects the point with the origin is defined by:

Tan(θ) = y/x

Cos(θ) = x/(√(x^2 + y^2))

Sin(θ) = y/(√(x^2 + y^2))

Ctg(θ) = x/y

Sec(θ) = √(x^2 + y^2)/x

Csc(θ) = √(x^2 + y^2)/y

Ok, now we have all the equations.

We know that:

Sec(C) = 30/24

Then:

√(x^2 + y^2) = 30

x = 24

Replacing x in the first equation we get:

√(24^2 + y^2) = 30

y = √(30^2 - 24^2) = 18

Then we have:

x = 24

y = 18

√(x^2 + y^2) = 30

So we can just replace these in the equations:

Tan(C) = y/x = 18/24

Cos(C) = x/(√(x^2 + y^2)) = 24/30

Sin(C) = y/(√(x^2 + y^2)) = 18/30

Ctg(θ) = x/y = 24/18

Sec(θ) = √(x^2 + y^2)/x = 30/24

Csc(θ) = √(x^2 + y^2)/y = 30/18

Answer:

Step-by-step explanation:

Answer:

[tex] log(2x) = 2 \\ 2x = {10}^{2} \\ 2x = 100 \\ x = 50[/tex]

The value of x that satisfies this equation log(2x) = 2 is 50

The equation is given as:

log(2x) = 2

Change the equation to an exponential equation

2x = 10^2

Evaluate the exponent

2x = 100

Divide both sides by 2

x = 50

Hence, the value of x that satisfies this equation log(2x) = 2 is 50

Read more about equations at:

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Answer:

A

Step-by-step explanation:

To find 10% of 500 you would multiply 500 by 0.1

Answer:

1396

Step-by-step explanation:

Profit= revenue-cost

Let's start off by calculating the revenue (the amount they get when they sold the stock) 200*66=13200

Now we need to calculate the cost

40+50+200(.32+.25+58)=11804

13200-11804=1396

Answer:C is correct

Step-by-step explanation:

200*58= 11600

Commission = 40+ (200*0.25)

Commission = 90

Total = 11690

Sell

200*66= 13200

Commission 50+ (0.32*200)

Commission = 114

Sell for 13200-114 = 13086

Profit = 13086 - 11690

Profit = 1396

It is helpful

Answer:

172,600

Step-by-step explanation:

hii so basically the mean is the same as average so add all together and divide by how many prices in this case there originally were

so 181,000+187,000+144,000+176,000+175,000=863,000

then divide by 5

863,000/5=172,600

hope this helped !

Answer:

a equal to five.b equal to three

b=3

Answer:

X=90

..............

Answer:

Hence, the answer is [tex]x>71.1515[/tex]

Step-by-step explanation:

We have,

[tex]n=100,\mu=70,\sigma=7[/tex]

The top percentage of the students is [tex]5\%[/tex]

The  lower percentage of the students is [tex]95\%[/tex]

The lowest [tex]95\%[/tex] is the left area from the normal distribution table, the area [tex]0.95[/tex] lies in the z-table

[tex]z=1.645[/tex]       from the z- table

[tex]P(z<1.645)=0.95\\P(z>1.645)=0.05\\z>1.645[/tex]

[tex]\frac{x-\mu}{\frac{\sigma}{\sqrt{\mu}} } >1.645\\x>1.645\times \frac{\sigma}{\sqrt{n}} +\mu[/tex]

   [tex]>1.645\times \frac{7}{\sqrt{100}} +70[/tex]

   [tex]\Rightarrow x>71.1515[/tex]

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]6(2)x + (2)y = 12(2) \\ + \\ - 4x - 2y = 0 \\ = \\ 8x = 24 \\ x = 24 \div 8 \\ x = 3[/tex]

Answer:

Mai

Step-by-step explanation:

1. 21.675 R $22

2. $21

Mai is the correct method because 15%-100%=85, which shows the percentage that is left to multiple. Then she multiples 0.85 times 2 as she was able to take off 15% twice. Elena's is incorrect because she added the two 15% off and subtracted that by 100 giving her 70. Which is the incorrect decimal to multiple by. Hope this helps.

Go check out Quelenasboutique on Etsy

Answer:

1. 28   2. 88   3. 16   4. 196  

Your welcome! :)

Answer:

118

Step-by-step explanation:

Answer:

118⁰

if it is across it is the same number

Answer:

Step-by-step explanation:

qiofuqbfqobdbdbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer: For 1

B

Step-by-step explanation:

15,700/ 1/4= 15,700-3,925-3,000/12 =731.25

Answer:

17

Step-by-step explanation:

Step-by-step explanation:

1838584848484884727738383

Answer:

si simon chavon

Step-by-step explanation:

Answer:

[tex]y = {x}^{2} + 2x + 6 \\ y = {( - 1 + i)}^{2} [/tex]

Answe

y=(x+1)2+5

Step-by-step explanation:

Answer:

Scalene,right angled triangle

Hope it helps

Answer:

[tex]105\:\mathrm{m^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex]. Plugging in given values, we have [tex]V=1.5\cdot 10\cdot 7=\boxed{105\:\mathrm{m^3}}[/tex].

Answer:

105

Step-by-step explanation:

Length × Width × height

10×7× 1.5

(10×7) 1.5

70×1.5

=105

Answer:

The third option if you ment to type 54 and not 5.4 if you meant 5.4 then that would be 5 and four tenths.

Step-by-step explanation:

Hope this helps ❤️

intersection is the answer

Answer:

5in

Step-by-step explanation:

Given data

Lenght= 4 in

Width= 6 in

Height= 3 in

Applying the Pythagoras theorem,

Let the longest pencil that could fit in be z

z^2= l^2+ h^2

z^2= 4^2+ 3^2

z^2= 16+9

z^2= 25

z= √25

z= 5 in

Hence the longest pencil is 5in

Answer:

144 lol

Step-by-step explanation:

Answer:

1.) 3833.8

2.) (3428.81 ; 4238.79)

Step-by-step explanation:

1.)

Point estimate of the salary for student with GPA of 3.

Using the regression model given :

Y = 2090.5 + 581.1x

x = 3

Y = 2090.5 + 581.1(3)

= 3833.8

2.)

95% confidence interval :

Y ± Tcritical * √MSE

Y = point estimate at x =3 ; = 3833.8

MSE = 21,284

Tcritical at 95% ; df = n-2 = 6-2 = 4

Tcritical(0.025 ; 4) = 2.776

√MSE = √21284 = 145.89036

Lower boundary : 3833.8 - 2.776(145.89036) = 3428.81

Upper boundary : 3833.8 + 2.776(145.89036) = 4238.79

(3428.81 ; 4238.79)

Answer:

64 (if 4 x 4 x 4) or

12 (it could be any of them)

Step-by-step explanation:

Since "3" is related to l x w x h.

You can either do 4 x 4 x 4

or

4 x 3

It depends what formula (aka L x W x H).

Answer:

64

Step-by-step explanation:

= [tex]4^{3}[/tex]

= (4) * (4) * (4)

= 64

Hope this helps :)

Answer:

the plane landed at 10:43 A.M