100 POINTS!!! ASAP-- Pls show work too TY

100 POINTS!!! ASAP-- Pls Show Work Too TY

Answers

Answer 1

Answer:

I will help you but is there any picture that can help me answer the question?

Answer 2

Answer:

[tex]\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151[/tex]

Step-by-step explanation:

So we know that Θ is acute and that:

[tex]\cos(\theta)=6/7[/tex]

First, note that since Θ is acute, it is between 0 and 90 degrees, meaning that all of our trig ratios will be positive since the angle is in the Quadrant I.

The Pythagorean Identity is:

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]

We know that cosine is 6/7. Substitute:

[tex]\sin^2(\theta)+(\frac{6}{7})^2=1[/tex]

Square:

[tex]\sin^2(\theta)+\frac{36}{49}=1[/tex]

Subtract both sides by 36/49. Change the 1 to 49/49 to make a common denominator:

[tex]\sin^2(\theta)=\frac{49}{49}-\frac{36}{49}[/tex]

Subtract:

[tex]\sin^2(\theta)=\frac{13}{49}[/tex]

Take the square root of both sides:

[tex]\sin(\theta)=\pm\sqrt{\frac{13}{49}}[/tex]

Simplify:

[tex]\sin(\theta)=\pm\frac{\sqrt{13}}{7}[/tex]

As mentioned previously, since Θ is acute, all of the trig functions must be positive. So, we can ignore our negative answer:

[tex]\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151[/tex]

and we're done!


Related Questions

Two jugs and 4 bottles hold 40 ounces. One jug and 3 bottles hold 25 ounces. How many ounces does 1 jug hold?

Answers

Answer:

5 ounces

Step-by-step explanation:

Let the capacity of jug be j, bottle be b

[tex]2j + 4b = 40 \\ j + 3b = 25 \\ j = 25 - 3b \\ \\ therefore \: 50 - 6b + 4b = 40 \\ 2b = 10 \\ b = 5[/tex]

Multiply. ​ 1/4 x 2/5 ​ Express your answer in simplest form. 1/3 1/10 2/9 3/20

Answers

1/4 x 2/5 = 2/20=1/10

Answer: 1/10

Step-by-step explanation:

1/10 which means that 2/9 Was the wrong answer

3. Casey wants to do some baking. She has 6 cups of flour. One of the recipes she wants
to make calls for 3 cups of flour. Another recipe calls for cup of flour. The final recipe
calls for 2 cups of flour.
Will Casey have enough flour to make all three recipes? If so, wills she have any left
over? How much?

Answers

Step-by-step explanation:

assuming cup of flower means 1 cup of flower

3+2+1=6

She has enough to make the three recipes and she has nothing left over

PLZ NEED HELP A crate of bananas has a mass of 674.8 dekagrams. What is the mass of the crate of bananas in centigrams? Use the metric table to help answer the question.

Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
a.0.6748 centigrams
b.6.748 centigrams
c.67,480 centigrams
d.674,800 centigrams

Answers

Answer:

d. 674,800

Step-by-step explanation:

1 dekagram is equal to 1,000 centigrams so I multiplied 674.8 by 1000

Hope this helps, have a great day:)

Answer:

The answer is 674800 centigrams

Step-by-step explanation:

How many dekagram in 1 centigram? The answer is 0.001.

I assume you are converting between dekagram and centigram.

You can view more details on each measurement unit:

dekagram or centigram

The SI base unit for mass is the kilogram.

1 kilogram is equal to 100 dekagram, or 100000 centigram.

Note that rounding errors may occur, so always check the results.

Use this page to learn how to convert between dekagrams and centigrams.

Type in your own numbers in the form to convert the units! Hope this helps!

6+3.245

Find the sum

Answers

Answer:

9.245

Step-by-step explanation:

6 + 3.245 = 9.245

Answer: 9.245

have a nice day:) ;)

What is answer 2x+8= -4

Answers

Answer:

x=-6

Step-by-step explanation:

2x=-4-8

2x=-12

2x/2=-12/2

x=-6

Answer:

x = - 6

Step-by-step explanation:

2x+8 = 4

Subtract 8 from both sides:

2x+8-8 = - 4 - 8

Simplify :

2x = -12

Divide both sides by 2 :

2x/2 = -12/2

Simplify  :

-12/2 : -6

x = -6

Hope it Helps :) !!

Can you solve (x-2)(x+3)=5 by solving x-2=5 and x+3=5? Explain

Will MARK BRAINLIEST

Answers

Answer:

Yes you can.

Step-by-step explanation:

You can because you can just subsitute x-2=5 and x+3=5 into the equation.

Answer:

x=3±/5

Step-by-step explanation:

i don't actually know how to do certain symbols sorry but i hope you know what this means

The mean and standard deviation of a normal distribution are 150 and 12
respectively. What percentage of values lie between:
a) 138 and 162
b) 126 and 174
c) 126 and 162
d) 162 and 174​

Answers

a) (150 - 138) / 12 = 1 deviation or 34%

(162 - 150) / 12 = 1 deviation or 34%

34% + 34% = 68%

b) (150 - 126) / 12 = 2 deviations or 47.5%

(174 - 150) / 12 = 2 deviations or 47.5%

47.5% + 47.5% =95%

c) (150 - 126) / 12 = 2 deviations or 47.5%

(162 - 150) / 12 = 1 deviation or 34%

47.5% + 34% = 81.5%

d) (162 - 150) / 12 = 1 deviation or 34%

(174 - 150) / 12 = 2 deviations or 47.5%

This problem is a little different. We have to subtract 34% from 47.5%

47.5% - 34% = 13.5%

There are 61 centimetres of liquorice to be shared equally among 7 people. What length of liquorice will each person get?

Answers

Answer:

8.71428571

do 61 divided by 7. Simple math.

Answer:

8.714

Step-by-step explanation:

Divide 61 centimeters by the 7 people getting the liquorice to get 8.7142857143.

From here you can round.

I rounded to the thousandths place but you can also round it up to 8.71 or 8.7 or any other digit if it suits your answer.

Hope this helps!

simplify: 6 + √27 / 3

Answers

Answer:

6 + √27 / 3

6+ (3√3/3)

6+√3

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

So, the first step if simplifying the square root. Since 27/3 is equal to 9, you now have to take the square root of 9.

6+[tex]\sqrt{27/3}[/tex]=?

Since 27/3 is equal to 9, you now have to take the square root of 9.

6+[tex]\sqrt{9}[/tex]=?

The square root of 9 is 3.

So, you end up with this:

6+3=12

Find the area of the surface. The part of the surface z = xy that lies within the cylinder x^2 + y^2 = 9

Answers

Answer:

The area of surface is [tex]\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]

Step-by-step explanation:

Given that,

The equation of cylinder is

[tex]x^2+y^2=9[/tex]

The part of the surface z = xy

The coordinates is,

[tex]z_{x}=y[/tex]

[tex]z_{y}=x[/tex]

We need to calculate the value of ds

Using formula of ds

[tex]ds=\sqrt{1+z_{x}^2+z_{y}^2}dA[/tex]

Put the value in to the formula

[tex]ds=\sqrt{1+y^2+x^2}dA[/tex]....(I)

We know that.

The polar coordinates,

[tex]x=r\cos\theta[/tex]

[tex]y=r\sin\theta[/tex]

The general equation of cylinder is

[tex]x^2+y^2=r^2[/tex]

compare from given equation

[tex]x^2+y^2=3^2[/tex]

0<=θ<=2π, 0<=r<=3

Area element in polar coordinates is,

[tex]dA=r dr d\theta[/tex]

Put the value of dA in equation (I)

[tex]ds=\sqrt{1+r^2}r dr d\theta[/tex]....(II)

We need to calculate the area of surface

Using equation (II)

[tex]s=\int_{0}^{2\pi}\int_{0}^{3}\sqrt{1+r^2}r dr d\theta[/tex]

[tex]s=\int_{0}^{2\pi}\dfrac{1}{3}((1+r^2)^{\frac{3}{2}})_{0}^{3}d\theta[/tex]

[tex]s=\int_{0}^{2\pi}\dfrac{1}{3}((1+3^2)^{\frac{3}{2}}-(1+0^2)^{\frac{3}{2}})d\theta[/tex]

[tex]s=(\dfrac{1}{3}((10)^{\frac{3}{2}}-1)\theta)_{0}^{2\pi}[/tex]

[tex]s=\dfrac{1}{3}(10^{\frac{3}{2}}-1)(2\pi-0)[/tex]

[tex]s=\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]

Hence, The area of surface is [tex]\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]

5.1436 rounded to the nearest tenth

Answers

Answer:

5.1

Step-by-step explanation:

we have

5.1436

since 4 is less than five we cannot pass the 1 to 2

so it stays like

5.1

-5(5 – 2x) = -95

show work and all steps please

Answers

Answer:

x = -7

Step-by-step explanation:

See the photo attached.

do parentheses and just find x. x equals positive 7.

A farmer owns 28 acres of land . Of the 28 acres only 65% can be formed .how many acres Are available for farming ?

Answers

Answer:

18.20 acres

Step-by-step explanation:

28×65% =

= 28×65/100

= 1820/100

= 18.20 acres

How much is X? NEED HELP RIGHT NOW 20 POINTS!!!

Answers


The letter x often used to mean a value that is not yet known. It is called a "variable" or sometimes an "un". In x + 2 = 7, x is a variable, but we can work out its value if we try!

I don’t get thiss so can someone help me

Answers

Step-by-step explanation:

use algabraic expreshens it will help trust me

Zach bought 200 shares of Goshen stock 20 years ago for $21.35 per share. He sold all 200
shares today for $43 per share.
a. What was the total purchase price for the 200 shares?

b. What was the total selling price for the 200 shares?

C. What was the capital gain for the 200 shares?

Answers

Answer:

4,330

Step-by-step explanation:

Multiply 21.35 times 200 and you get 4,270, then multiply 200 times 43 and you will get 8,600. then subtract and you will get 4,330

The answers are :

a) The total purchase price for the 200 shares was $4270.

b) The total selling price for the 200 shares was $8600.

c) The capital gain for the 200 shares was $4330.

What is the unitary method ?

The unitary method is a method in which you find the value of one unit and then the value of a required no. of units.

It is given that 20 years ago Zach bought 200 shares.

Price of 1 share = $21.35

a)

The total purchase price for the 200 shares was :

= 200 × $21.35

= $4270

b)

It is given that Zach sold 200 shares today.

Price of 1 share = $43

The total selling price for the 200 shares was :

= 200 × $43

= $8600

c)

The capital gain for the 200 shares was :

= $8600 - $4270

= $4330

Therefore , the answers are :

a) The total purchase price for the 200 shares was $4270.

b) The total selling price for the 200 shares was $8600.

c) The capital gain for the 200 shares was $4330.

Learn more about unitary methods here :

https://brainly.com/question/8083231

#SPJ1

When 3.9 is added to 6 times a number, the result is 57.3. Find the number

Answers

Answer: 8.9

Step-by-step explanation:

Let x = the number you are finding

SOLVE:

3.9+6x=57.3 ⇔ Given

6x=53.4 ⇔ subtract 3.9 on both sides

x=8.9 ⇔ Divide 6 on both sides

ANSWER:

The number is 8.9

x is a normally distributed variable with mean μ = 17 and standard deviation σ = 3 find:

a) P(x >21)
b) P(x < 15)
c) P(16 < x < 25)

Answers

Answer:

a)0.09176

b)0.22065

c)0.62551

Step-by-step explanation:

a) p(x>21) = p(z> (21-17)/3)=p(z>1.333) = 1-.90824= 0.09176 (subtracting from one because we are looking at the right side of the graph from the Z-table)

b)p(x<15) = p(z< (15-17)/3)=p(z<-.6667) = 0.22065

c)p(16 < x < 25)= (z(16-17)/3 < p < z(25-17)/3)= z(-.333) < p < z(2.667)=.99621 -.37070 = 0.62551

The sum of the measures of the angles of a triangle is 180. The sum of the measure of the second and third angle is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and ,z represent the measures of the first second and third angles

Answers

Answer:

x = 30 degrees

y = 67 degrees

z = 83 degrees

Step-by-step explanation:

Since x, y , and z are the angle measure for the first, second and third angle respectively, we can write the following equations following the statements given:

The sum of the measures of the angles of a triangle is 180:

(1)   x + y + z = 180

The sum of the measure of the second and third angle is five times the measure of the first angle:

(2)    y + z = 5 x

The third angle is 16 more than the second:

(3)    z = y + 16

Now we solve the system of three equations. We use the third equation to replace z in the second one:

y + (y + 16) = 5 x

then : 2 y = 5 x - 16;   then y = 2.5 x - 8

So , now we can replace this expression for y in the third equation:

z = (2.5 x - 8) +16 = 2.5 x + 8

and finally we made the replacements of y and z shown above in bold, in the first equation:

x + (2.5 x - 8) + (2.5 x + 8) = 180

x + 5 x = 180

6 x = 180

then x = 180/6 = 30 degrees

From this, we get the value of the other angles:

y = 2.5 (30) - 8 = 67 degrees

z = 2.5 (30) +8 = 83 degrees

31-X + (2 x + 1)] = x - 1.
X =

Answers

Answer:

answer is X= 2/1 ×5+2 ok

Five numbers has a mean of 12. When one (1) number is removed the mean is 11. What is the value of the number removed?

Answers

Answer:

16

Step-by-step explanation:

The mean of a group of values is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Given 5 numbers with a mean of 12, then

[tex]\frac{sum}{5}[/tex] = 12 ( multiply both sides by 5 )

sum = 60

let the number removed be x , then

[tex]\frac{60-x}{4}[/tex] = 11 ( multiply both sides by 4 )

60 - x = 44 ( subtract 60 from both sides )

- x = - 16 ( multiply both sides by - 1 )

x = 16

The number removed was 16

if f(x)=2x-1, what does f(10) equal

Answers

Answer:

f(10) = 19

Step-by-step explanation:

f(x) = 2x - 1

To find f(10) substitute the value of x that's 10 into f(x). That is for every x in f (x) replace it with 10

We have

f(10) = 2(10) - 1

= 20 - 1

We have the final answer as

f(10) = 19

Hope this helps you

Solve the equation and find the value of x. 10(x + 3) - (-9x - 4) = x - 5+ 3
Your answer

Answers

Answer:

10(x + 3) - (-9x - 4) = x - 5+ 3

10x+30+9x+4=x-2

19x+34=x-2

19x-x= -2-34

18x=-36

x= -2

what is does p equal if 8-p = -12 -3p

Answers

Answer:

8-p=-12-3p

8+12-p = -3p

20 = -3p + p

20 = -2p

20/-2 = p

-10 = p

ans. p = -10

...

Short answers is p=-10 hope this helps :)

Match each situation to the simulation that represents it.

Answers

Answer: rolling aa six sided die- fiona is deciding which forest

selecting a playing card- Athena has to select 1 student

spinning a spinner - Jenny isa picking a marble

Step-by-step explanation:

Answer:

Fiona- Rolling A Six-Sided Die.

Althea- Selecting A Playing Card From

The Hearts Suit.

Jenny-Spinning A Spinner Divided Into

Five Equal Sections  

-2x+3-(5-6x) simplify please

Answers

Answer:

4x-2

Step-by-step explanation:

First, distribute the minus sign.

-2x+3-(5-6x)

-2x+3+ -1(5)+ -1(-6x)

-2x+3+ (-5) + (6x)

-2x+3-5+6x

Next, combine like terms.

-2x+3-5+6x

(-2x+6x)+(3-5)

4x+(-2)

4x-2

Answer:

4x - 2

Step-by-step explanation:

-2x + 3 - -5 + 6x ( First distribute the parenthess and apply minus-plus rules making it -2x+3-5+6x )

-2x + 6x + 3 - 5 ( Group the equation like this putting like terms together)

4x + 3-5 ( From there add -2x and 6x- like terms to get 4x)

4x -2( After that subtract 3-5 ad the answer is -2)

THE FINAL ANSWER BECOMES 4x - 2

HOPE IT HELPED

You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep out animals. Find the length of fencing you need to the nearest meter.​

Answers

Answer:

24 m

Step-by-step explanation:

The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.

The lenght of the triangular garden = 16 - 10 = 6 m

Lenght of the height = 8 - 0 = 8 m

Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.

Coordinates of the two vertices = (10, 0) and (16, 8).

[tex] distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] (10, 0) = (x_1, y_1) [/tex]

[tex] (16, 8) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(16 - 10)^2 + (8 - 0)^2} [/tex]

[tex] d = \sqrt{(6)^2 + (8)^2} [/tex]

[tex] d = \sqrt{36 + 64} = \sqrt{100} [/tex]

[tex] d = 10 [/tex]

Length of fencing = 6 + 8 + 10 = 24 m

Solve the system using elimination.
7x + 10y = 27
X-10y = -19
The solution is
(Simplify your answer. Type an ordered pair.)

Answers

The solution is (1,2)

Step-by-step explanation:

 7x + 10y = 27

 x - 10y = -19                                                                                                                    +--------------------

8x = 8

Divide by 8 on both sides

x = 1

To find y substitute any of the equations to 1

7(1) + 10y = 27

7 + 10y = 27

Substract 7 from both sides

10y = 20

Divide by 10

y = 2

Solve the inequality. 6x + 14 > 20
???????

Answers

Answer:

x > 1

Step-by-step explanation:

6x + 14 > 20

      -14    -14

6x > 6

/6    /6

x>1

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