find x and round to the nearest tenth

Answer:

[tex]hyp=\frac{10}{cos(35^o)}[/tex]

Step-by-step explanation:

The trigonometric function that uses the value of the angle, the value of the adjacent side (e) and the hypotenuse is the cosine of the angle as shown below:

[tex]cos(35^o)=\frac{adj}{hyp} =\frac{10}{hyp} \\hyp=\frac{10}{cos(35^o)}[/tex]

Step-by-step explanation:

The angle where the shadow ends is

[tex] \tan(x) = \frac{48}{60} \\ x = 38.66[/tex]

The distance from the tree to the angle of end shadow equal (60-20)=40ft

So the tall of tree is

[tex] \tan(38.66) = \frac{x}{40} \\ x = 40 \times \tan(38.66) \\ x = 32ft[/tex]

Answer:

x>9

Step-by-step explanation:

3x+2−2>29−2

3x>27

divide by 3

3x/3>27/3

Answer:

1079

Step-by-step explanation:

213

+857= 1070

sum means addition .

Answer:

x=9.5 and y=15.3

Step-by-step explanation:

to find x you do sine of 32 = x/18 because the sine is opposite/hypotenuse

you put in a calculator sine (32) x 18 and get 9.538546756

so x equals 9.538546756 but it says to round to the nearest tenth so x equals 9.5

to find y you do the cosine of 32 = y/18 because cosine is adjacent/hypotenuse

cosine of (32) x 18 = 15.26486573 so you equals 15.26486573 but since you have to round to the nearest tenth y = 15.3

The value of x is 9.54.

The value of y is 15.3.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

From the figure,

Sin 32 = x / 18

Cos 32 = y / 18

Now,

Sin 32 = 0.53

Cos 32 = 0.85

Now,

0.53 = x / 18

Multiply 18 on both sides.

x = 0.53 x 18

x = 9.54

0.85 = y / 18

Multiply 18 on both sides.

y = 0.85 x 18

y = 15.3

Thus,

The value of x is 9.54.

The value of y is 15.3.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ2

Answer:

Lifetimes=17,698.39

Step-by-step explanation:

The number of hours, H, in the employee's lifetime is

H=24(365)(71)=621960

At 13/hour, this is lifetime wages of

13(621960)=8,085,480

Divide this into 143,100,000,000 to get

Lifetimes=17,698.39

Note that this does NOT imply that the employee is underpaid.

Answer:

The equation would be           P(t) = 280t + 3310              

The estimated number of moose in 2008 would be 8350 moose.

Step-by-step explanation:

First we will have to find out by how much will the number of moose increase each year. In order to do that we the number by which the population of moose increase, by the difference between 1991 and 1999. And so we get...

[tex]\frac{5830-3590 }{1999 - 1991} = \frac{2240}{8} = 280[/tex]

Now that we know by how much the number of moose increases each year, we can make the following equation...

Let "t" be the number of years from 1990, then...

P(t) = 280t + 3310

(if you are wondering why is it 3310, it is because you have to put in the number of moose that was there in 1990 and you can get that number by substracting 280 from the number of moose in 1991).

Based on the linear relation we figured out, the number of moose in 2008 would be predicted to be...

P(t) = 280t + 3310

P(2008 - 1990) = 280(2008 - 1990) + 3310

P (18) = 280(18) + 3310

P(18) = 8350

Answer:

he will have $127 by the end of the week

Answer:

134(47)√45

Step-by-step explanation:

46+24=12 dkkf

fjskkf

Answer:

ik this is late so sry but um hope this helps someone else in the future?

Step-by-step explanation:

We’re going to see how the masses of objects affect the gravitational force between them. Since gravitational force between two objects depends on the mass and distance between them, as you can see in the chart, as the mass of the objects multiplies, so does the gravitational force between them. To find the actual gravitational force between the two objects, you take the mass of both objects and multiply them. Let’s try and find the gravitational force between them. First, we have to find the mass of the object, so we’ll take the mass of objects 1 and 2 in the first equation. So let’s start with object 1, 1x10 to the 20th power which equals 10 to the 20th power, now object 2, 1x10 to the 20th power which equals 10 to the 20th power. Now we multiply the masses to get the gravitational force of 10 to the power of 40.

Hope you have a wonderful day and sry again that this is late

Answer:

Step-I’m going to need more information

Answer:

ill rather buy the membership

Step-by-step explanation:

Because its less money for more times to go to the zoo.

Answer:

x^2+3x−10

Step-by-step explanation:

X^2+3x-10

First multiply x with (x-2)Next multiply 5 with (x-2) with + sign between them

x(x-2)+5(x-2)

X^2–2x+5x-10

X^2+3x-10

Answer: x^2-2x+5x-10

Step-by-step explanation:

multiply x1 by x2 which equals x^2 then x1 by -2 which is -2x then multiply 5 by x2 which is positive 5x then multiply 5 by -2 which is -10

Answer:

3/4

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

The weight of 15 bags is 258.21 kilograms.

The volume of 15 bags is 2.222 cubic yards.

Step-by-step explanation:

Dimensionally speaking, a pound equals 0.453 kilograms and a cubic yard equals 27 cubic feet. We proceed to calculate the weight and the volume of 15 bags by following conversions:

Weight

[tex]x = 15\,bags \times \frac{38\,lb}{1\,bag}\times \frac{0.453\,kg}{1\,lb}[/tex]

[tex]x = 258.21\,kg[/tex]

The weight of 15 bags is 258.21 kilograms.

Volume

[tex]x = 15\,bags \times \frac{4\,ft^{3}}{1\,bag} \times \frac{1\,yd^{3}}{27\,ft^{3}}[/tex]

[tex]x = 2.222\,yd^{3}[/tex]

The volume of 15 bags is 2.222 cubic yards.

Answer:

10 miles per hour

Step-by-step explanation:

122-52= 70

70 miles/ 7 hours

10 miles per hour

Answer:

Reject the Null ;

0.928

Step-by-step explanation:

Given the data: 2, 4, 3, 5, 1, 1, 4

Sample mean = (2 + 4 + 3 + 5 + 1 + 1 + 4) / 7 = 2.857

Standard deviation, s = 1.57 ( using calculator)

The hypothesis :

H0 : μ = 1.4

H1 : μ ≠ 1.4

Since sample size is small, use T test

Test statistic :

Tstatistic = (x - μ) / s/sqrt(n)

Tstatistic = (2.857 - 1.4) / 1.57/sqrt(7)

Tstatistic = 1.457 / 0.593 = 2.455

Two tailed test at α = 0.05

Tcritical at df = 7-1 = 6 ; α = 0.05 = 2.447

Tstatistic > Tcritical ; reject the null

Since ;

2.455 > 2.447 ; we reject the null ;

There is significam evidence that Number of complaints has changed.

Effect size ;

d = (x - μ) / s

d = (2.857 - 1.4) / 1.57

d = 1.457 / 1.57

d = 0.928

Answer:

14

Step-by-step explanation:

Answer:

4

Step-by-step explanation:16 divided y 4 is 4

Answer:

they each costed $2

Step-by-step explanation:

all you do is take 5 and count how many fingers u have left then u get 2

Answer:

Each book mark is 2 dollars

Step-by-step explanation:

You subtract the $5 from the $13 and that is equal to 8 dollars. Then you divide 8 by the 4 bookmarks and the answer is 2 dollars.

Answer:

the probability is 3/6 or 1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Which of the following has the ability to line- item veto a law? A Governors b. The president C. Mayors can you help me please

Answer:

252 ; 0.00593 ; 0.0074 ; 0.9926 ; 0.347

Step-by-step explanation:

A.)

n = 10 ; r = 5

Required outcome :

nCr = n! ÷ (n-r)!r!

10C5 = 10! ÷ (10-5)!5!

(10*9*8*7*6) / (5*4*3*2*1)

= 252

B.)

Total possible outcome : 24C5 = 42504

P(all will be from day shift) = 252 / (24C5) = 0.00593

C.)

P(all will be from the same shift) :

[(10C5)+(8C5)+(6C5)] ÷ 24C5

(252 + 56 + 6) / 42504 = 0.0074

D.)

Probability that at least 2 different shift will be represented :

1 - P(all will be from the same shift)

1 - 0.0074 = 0.9926

D.)

Probability that atleast one of the shift will be unrepresented :

(10+6C5) + (8+6C5) + (10+8C5) - (10C5)+(8C5)+(6C5)

[16C5 + 14C5 + 18C5 - 10C5 + 8C5 + 6C5] ÷ 24C5

(4368 + 2002 + 8568 - 252 + 56 + 6) / 42504

= 14748 / 42504

= 0.347

Answer: i added a pic of the answers

Step-by-step explanation:

Answer:

que no se hablar inglés o tu idioma por como hablé te ayudaria pero como no hablas español ps nd ps......bay

Answer:

145/2

Step-by-step explanation:

d=[2x+1-x] = [5x+1 -(2x+1)]

x+1=3x

x-3x=-1

-2x=-1

x=1/2

therefore first term is 1/2

second term is 2(1/2)+1= 2

common difference d is 2-1/2=3/2

sum of first n terms is n/2 [2a+(n-1)d] where n=10

sum of first 10 terms= 10/2[2×1/2+(10-1)3/2]

=5[1+(9)3/2] =5[1+27/2] = 5[29/2] =145/2

Answer:

1. 2 and 2 is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

The amount of money that Ms. Gonzalez spends on small folders than large folders will be $12.75.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Ms. Gonzalez buys folders for her office. She buys 4 small folders for every 1 large folder. She buys 15 folders in all. Small folders cost $0.75, and large folders cost $1.25.

Let 'x' be the number of small folders and 'y' be the large folders. Then the equations are given as,

x + y = 15          ...1

y = 4x              ...2

From equations 1 and 2, then we have

x + 4x = 15

5x = 15

x = 3

Then the value of 'y' is given as,

3 + y = 15

y = 12

The cost of the small folder is given as,

⇒ $0.75 × 3

⇒ $2.25

The cost of the large folder is given as,

⇒ $1.25 × 12

⇒ $15

The difference is given as,

⇒ $15 - $2.25

⇒ $12.75

The amount of money that Ms. Gonzalez spends on small folders than large folders will be $12.75.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5