Find the value of each variable. Round your answers to the nearest tenth. A right-angled triangle with length of hypotenuse labeled j. Other two sides are of lengths labeled k and 10. The measure of angle opposite to side of length k is labeled 40 degrees.

Answers

Answer 1

Answer:

K = 8.4

J = 13.1

Step-by-step explanation:

the hypotenuse = j

opposite side = 10

adjacent side = k

and the angle of 40 is given

to find k, use tan 40

tan 40 = opposite / adjacent

0.8391 = opposite / 10

opposite = 0.8391 x 10 = 8.391

to find j , use cos 40

cos 40 = adjacent / hypotenuse

0.7660 = 10 /hypotenuse

hypotenuse = 10 / 0.7660 = 13.1

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero


Related Questions

The graphs below have the same shape. What is the equation of the blue
graph?

Answers

Answer:

G(x) = (x^2 +2)

Step-by-step explanation:

The graph moved to the left 2 units, therefor that is the equation :)

The equation of the blue graph will be G(x) = (x² +2).

What is a qudratic function?

In mathematics, a quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is a polynomial function defined by a quadratic polynomial.

A parabola is the shape of a quadratic function's graph. The "width" or "steepness" of a parabola can vary and it can expand upward or downward.

The given equation of the red graph is,

F(x) = x²

The graph moved to the left 2 units, hence the equation can  be written as,

G(x) = F(x) + 2

G(x) = x² + 2

To know more about quadratic function follow

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Write the sentence as a conditional statement.

Two parallel lines lie in the same plane.

Answers

if there are two parallel lines on a graph, then they are on the same plane

I need help with this

Answers

Answer:

look at s d g

Step-by-step explanation:

Help me and show work plz <3

Answers

Answer:

0.8^4

Step-by-step explanation:

Question :-

Write the expression using exponents.

[tex]0.8 \: · \: 0.8 \: · \: 0.8 \: · \: 0.8 \: = \boxed { ? }[/tex]

___________________

Solution :-

Given Information :-

Expression ➢ 0.8 · 0.8 · 0.8 · 0.8

To Find :-

The value of the expression using exponents.

Calculation :-

Since, the expression is actually the repetition of 0.8, so we can write this as,

⇒ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴

Calculating further, We get,

⇒ ( 0.8 )⁴ = [tex] \sf \frac{8 \times 8 \times 8 \times 8}{10 \times 10 \times 10 \times 10} = \frac{8⁴}{10⁴} [/tex]

⇒ ( 0.8 )⁴ = [tex] \frac{4096}{10000} [/tex]

Calculating further, We get,

⇒ ( 0.8 )⁴ = 0.4096

0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096

____________________

Final Answer :-

0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096

____________________

slader (a) Find parametric equations for the line through (4, 1, 8) that is perpendicular to the plane x − y + 4z = 2. (Use the parameter t.) (x(t), y(t), z(t)) = Correct: Your answer is correct. (b) "In what points does this line intersect the coordinate planes?"

Answers

Answer:

(x(t), y(t), z(t)) = (4 + t, 1 - t, 8 + 4t)

xy - plane    (x, y, z) = (2, -1, 0)

yz - plane    (x, y, z) = (0, 5, -8)

xz - plane     (x, y, z) = (5, 0, 12)

Step-by-step explanation:

The given point (x, y ,z) = (4, 1, 8)

The plane x -y + 4z = 2

Normal vector (n) = < 1, -1, 4 >

The equation of line through point (4, 1, 8) and the plane is:

(x(t), y(t), z(t)) = (4, 1, 8) + t(1, -1, 4)

(x(t), y(t), z(t)) = (4 + t, 1 - t, 8 + 4t)

Any point on the line P(x, y, z) = ( 4 + t, 1 - t, 8 + 4t)

xy-Pane ⇒ z = 0

8 + 4t = 0

4t = - 8

t = -8/4

t = -2

(x, y, z) = (4 - 2, 1 - 2, 8 + 4(-2))

(x, y, z) = (2, -1, 0)

yz-plane ⇒ x = 0

4 + t = 0

t = -4

(x, y, z) = (4 + (-4) , 1-(-4), 8 + 4(-4)

(x, y, z) = (0, 5, -8)

xz-plane ⇒ y = 0

1 - t = 0

-t = -1

t = 1

(x, y, z) = ( 4 + 1, 1 - 1, 8 + 4(1) )

(x, y, z) = (5, 0, 12)

write the first six cube of natural number​

Answers

Answer:

The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

Step-by-step explanation:

Natural Numbers are known as 1, 2, 3, 4, ..., ∞

Now,

For Cube of first six natural numbers

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Thus, The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

-TheUnknownScientist

Help plz..And No links!! I repeat No links!!

Answers

This is Right answer....

I hope you understand....

give me Brainliest.....

Thanks....

Find the area of the triangle 15 m and 34 m

Answers

Answer:

255m^2

Step-by-step explanation:

You multipliy 15 and 34. Then you divide by 2

A fair coin is flipped 14 times. Find the probability that more than 4 of the flips turn up tails.

Answers

The probability that more than 4 of the flips turn up tails will be 6.10%.

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

 

The probability that out of n trials, there'd be x successes is given by

P(X = x) = ⁿCₓ pˣ (1 - p)ⁿ ⁻ ˣ

A fair coin is flipped 14 times.

Then the probability that more than 4 of the flips turn up tails.

The probability of success will be

P = 1/2

P = 0.5

n = 14

x = 4

Then we have

P(X = 4) = ¹⁴C₄ (0.5)⁴ x (1 - 0.5)⁽¹⁴ ⁻ ⁴⁾

P(X = 4) = ¹⁴C₄ (0.5)⁴ x (0.5)¹⁰

P(X = 4) = 0.061

P(X = 4) = 6.10%

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A 12 foot ladder is leaning up against the side of a building. The bottom of the ladder is 4 feet away from the bottom of the building Approximately how high up the side of the building does the ladder reach? 8 ft 10 ft 11 ft 12 ft​

Answers

You can use the Pythagoras theorem for this since a right triangle is formed.

[tex]c^2 = a^2 + b^2[/tex]

C = 12

A = 4

B = x

Input values:

[tex]12^2 = 4^2 + x^2[/tex]

[tex]144 = 16 + x^2[/tex]

[tex]128 = x^2[/tex]

[tex]x = \sqrt{128}[/tex]

[tex]x = 11.3137...[/tex]

So, about 11ft.

The function y=-x^2+65x+256 models the number y of subscribers to a website, where x is the number of days since the website launched. The number of subscribers to a competitor's website can be modeled by a linear function. The websites have the same number of subscribers on Days 1 and 34. a. Write a linear function that models the number of subscribers to the competitor's website.

Answers

Answer:

[tex]y = 30x+290[/tex]

Step-by-step explanation:

Given

[tex]y=-x^2+65x+256[/tex]

Required

The linear function of a competitor's website

On day 1, both websites have the same subscribers.

This implies that:

[tex]y=-x^2+65x+256[/tex]

Substitute: [tex]x =1[/tex]

[tex]y=-(1)^2+65*1+256[/tex]

[tex]y=-1+65+256[/tex]

[tex]y=320[/tex]

This implies:

[tex](x_1,y_1) = (1,320)[/tex]

On day 34, both websites have the same subscribers.

This implies that:

[tex]y=-x^2+65x+256[/tex]

Substitute: [tex]x =34[/tex]

[tex]y=-(34)^2+65*34+256[/tex]

[tex]y=-1156+2210+256[/tex]

[tex]y=1310[/tex]

This implies:

[tex](x_2,y_2) = (34,1310)[/tex]

To calculate the linear function of the competitor, we have:

[tex](x_1,y_1) = (1,320)[/tex]

[tex](x_2,y_2) = (34,1310)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{1310 - 320}{34-1}[/tex]

[tex]m = \frac{990}{33}[/tex]

[tex]m = 30[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 30 * (x - 1) + 320[/tex]

Open bracket

[tex]y = 30x - 30 + 320[/tex]

[tex]y = 30x+290[/tex] --- This represents the linear function of the competitor's website

The  linear function of the competitor's website is represented by y=30x-290.

We have given that,the function y=-x^2+65x+256 models the number y of subscribers to a website, where x is the number of days since the website launched.

We have to find the linear function of a competitor's website.

For the day 1, both websites have the same subscribers.

This implies that

[tex]y=-x^2+65x+256[/tex]

x represent the value of day

so plug x=1 we get

[tex]y=(-1)^2+65+256[/tex]

[tex]y=-1+65+256\\y=320[/tex]

Therefore we get the point

[tex](x_1,y_1)=(1,320)[/tex]

On day 34, both websites have the same subscribers.

[tex]y=-x^2+65x+256[/tex]

x=34

[tex]y=-(34)^2+65\times 34+256[/tex]

[tex]y=-1156+2210+256\\y=1310[/tex]

[tex](x_2,y_2)=(34,1310)[/tex]

What is the slope point form?

[tex](y_2-y_1)=m(x_2-x_1)[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{1310-320}{34-1} \\m=\frac{990}{33} \\m=30[/tex]

Now slope point form is

[tex]y-y_1=m(x-x_1)[/tex]

Theefore we get

[tex]y=30(x-1)+320[/tex]

[tex]y=30x-290[/tex]

Therefore, the linear function of the competitor's website is represented by y=30x-290.

To learn more about the linear model visit:

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1 Mr. Ruiz made a map of his ranch on the grid shown below.
Cattle
Horses
Sheep
What percent of the ranch is used for sheep?
A 33%
B 25%
C 20%
D 16%

Answers

Answer: C, 20%

Hope this helps

someone help me please i have 20 minutes left to finish this

Answers

Answer: 17. is A and 18 is most likely G

Step-by-step explanation:

plz help 12 points !!! it's l due in a hourPIL Assessment 0 Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 10 inches by 10 inches. Is he correct? Use the drop-down menus to explain your answer. Stephan Choose... have enough wood to make the tray because he has Choose... square inches, which is Choose... than he needs to make the tray, Choose... square inches.​

Answers

Answer:

No, because he needs to make a 18 by 12 base. Not enough wood, (area)..... square inches

What is the length of the edge of a cube with a
wolume of 512?

Answers

a≈8
V Volume

Using the formula
V=a3
Solving fora
a=V⅓=512⅓≈8



Therefore, to find the lenght of an edge of the cube, just find the cube root of the volume. In this case, the cube root of 512 is equal to 8.

find the solution 4x<8

Answers

x=1

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

will mark brainliest if right no cap

Answers

Answer:

6 1/5

Step-by-step explanation:

six and one fifth girl no cap

and that's on mary had a lil lamb

Answer:

[tex]51 \frac{1}{5} ~ laps[/tex]

Step-by-step explanation:

[tex]\frac{laps}{hours} =\frac{x}{1}=\frac{12\frac{4}{5} }{\frac{1}{4} }[/tex]

[tex]x=\frac{\frac{64}{5} }{\frac{1}{4} }[/tex]

[tex]x=\frac{64}{5}*\frac{4}{1}[/tex]

[tex]x=\frac{256}{5} =5 \frac{1}{5}[/tex]

------------------------------

hope it helps..

have a great day!!

find the volume of the figure. HELP ASAP DUE SOON.

Answers

Answer: 2123.72

Step-by-step explanation:

Answer:

2123.72

Step-by-step explanation:

Form for Cylinder- V=πr^2h

π=3.14

r=6.5

h=16

π × 6.5^2 × 16 =2123.71663383

Rounded 2123.72

Hope this helps! Brainiest please!:)

what is 625.842 rounded to the nearest tenths

Answers

Answer:

625.8

Step-by-step explanation:

your welcome

Answer:

625.8

Step-by-step explanation:

a tenth is the first decimal place after the decimal, if there's a five next to it then you can add a number to that place, but since both of the numbers next to the tenth are under 5, we don't add an extra number to it, making the answer 625.8

Please help. No links please

Answers

Answer:

Step-by-step explanation:

6*5 = 30*3 = 90 top parts

10*16 = 160*3 = 480 faces

5*8.7 = 43.5

43.5+480+90 = 613.5 [tex]m^{2}[/tex]

Use this set of number to answer the question.
4, 11, 6, 9, 23, 34, 6, 19,
What is the median for this set of numbers?
A. 6
B. 10
C. 14
D. 16

Answers

Answer:

10

Step-by-step explanation:

arrange the number in order from smallest to largest, 4, 6, 6, 9, 11, 19, 23, 34. you then find the middle number, in this case there is no middle number, but 9 and 11 are the closest, so you add those to together to get 20, then divide by 2. this gives you ten

if you have any questions, leave them in the comments and i will try to answer them, if this helped pls give brainliest

Answer:

Hello There!!

Step-by-step explanation:

Median is ordering the numbers from smallest to biggest.

Ordered: 4,6,6,9,11,19,23,34

And there is no middle number so you have two add the two middle numbers 9+11=20 then divide by 2 which equals 10.

hope this helps,have a great day!!

~Pinky~

what is 1 x (a + 3) = a + 3

Answers

Answer:

[tex]\huge\boxed{a\in\mathbb{R}}[/tex]

The solution is the set of all real numbers.

Step-by-step explanation:

[tex]1\times(a+3)=a+3\\\\a+3=a+3\\\\a-a+3=a-a+3\\\\3=3\qquad\bold{TRUE}[/tex]

Answer:

See the Image below:)

ITS TRUE

SOLUTION ALL REAL NUMBERS

Step-by-step explanation:

Find the area of the regular 15-gon with a 7 mm radius

Answers

Answer:

Start your streak by answering any question. You'll get bonus points from day 2.

Find the following of each arc measure

Answers

ZW= 108
VW= 55
UY= 34

Use the law of cosines to write an expression equivalent to b

Answers

Given:

A triangle ABC.

The given expression for b is:

[tex]b=\sqrt{m+n-pq}[/tex]

To find:

The expression that is equivalent to b.

Solution:

According to the Law of Cosines,

[tex]b^2=a^2+c^2-2ac\cos B[/tex]

It can be written as:

[tex]b=\sqrt{a^2+c^2-2ac\cos B}[/tex]              ...(i)

We have,

[tex]b=\sqrt{m+n-pq}[/tex]                                ...(ii)

On comparing (i) and (ii), we get

[tex]m=a^2[/tex]

[tex]n=c^2[/tex]

[tex]p=2ac[/tex]

[tex]q=\cos B[/tex]

Therefore, the required values are [tex]m=a^2,n=c^2,p=2ac,q=\cos B[/tex].

6 - 6x = 5x – 9x - 8 .
The value of x is?

Answers

Answer:

x=7

Step-by-step explanation:

6 - 6x = 5x – 9x - 8

Combine like terms

6-6x = -4x-8

Add 6x to each side

6-6x+6x =-4x-8+6x

6 = 2x-8

Add 8 to each side

6+8 = 2x-8+8

14 = 2x

Divide each side by 2

14/2 =2x/2

7 =x

Is a greater than, less than or equal to 100°?
100
Choose 1 answer:
A
> 100°
B
< 100°
= 100°

Answers

Answer:

x is equal to 100 degrees

Step-by-step explanation:

Answer:

x

Step-by-step explanation:

because it is equal to 100 degrees

A cube has a side length of 5x cm. What is the volume of the cube?​

Answers

Answer:

125x^3 cm^3

Step-by-step explanation:

The volume of a cube of side length s is V = s^3.

If the side length is 5x cm, then V = (5x cm)^3 = 125x^3 cm^3

Circle the greatest number: 8.20 8.02 8.022
so is the answer 8.20?​

Answers

Answer:

Yes answer is 8.20

Step-by-step explanation:

mrk as brainliest

Yes the answer is 8.2

URGENT PLEASE HELP!!

What is the equation of the linear function?
A. y = 1/2x + 3 B. y = -1/2x + 6 C. y = 2x + 3 D. y = -1/2x + 3

Answers

Answer:

y = -1/2x + 3

Step-by-step explanation:

(6,0) is on the linear function, 0= -1/2 × 6 + 3

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