1 2 3 4 5 6 7 8 9 10 TIME REMAINING 57:18 Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth? 13.0 units 28.8 units 31.2 units 33.8 units

Answers

Answer 1

Answer:

28.8 units

Step-by-step explanation:

In order to further explain the description of the right angled triangle ABC above, I have attached a hand drawn diagram for easier understanding.

The length of A D is 5 units

The length of B D is 12 units.

From the above triangle ABC, to solve for BC we have the following ratios.

BD : BC = AD : BD

Hence,

BD/ BC = AD/BD

= 12/BC = 5/12

Cross Multiply

12× 12 = BC × 5

BC = 12 × 12/ 5

BC = 144/5

BC = 28.8 units

Therefore, the length of Line segment B C, rounded to the nearest tenth is 28.8 units

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 57:18 Triangle A B C Is Shown. Angle A B C Is A Right Angle. An Altitude
Answer 2

Answer:

c.31.2

Step-by-step explanation:


Related Questions

Please answer the question in the image below ASAP

Answers

Answer:

d. 200%

Step-by-step explanation:

( 800 ÷ 400 ) × 100

Point P has coordinates P(-3,5).
What are the coordinates of the image P" after I translate point P: 2
units to the right 3 units up and then I reflect its image across the x-
axis?

Answers

P starts at (-3,5)

Move to the right 2 units and you'll get to (-1,5). We add 2 to the x coordinate here.

Then shift the point up three units to get to (-1,8). We add 3 to the y coordinate.

Finally, reflect over the x axis to get the answer (-1, -8)

Note how the y coordinate flipped in sign but the x coordinate stays the same

Please can someone help

Answers

Answer:

x=6

Step-by-step explanation:

2x - 5 = 7

Add 5 to each side

2x-5+5 = 7+5

2x= 12

Divide by 2

2x/2 = 12/2

x = 6

Answer:

x = 6.

Step-by-step explanation:

2x - 5 = 7

2x = 7 + 5

2x = 12

x = 6

Check your work!

2 * 6 - 5 = 7

12 - 5 = 7

7 = 7

Hope this helps!

Please Show your work and Solve. What is the answer to these 5 questions?
(1) -X + 4 = -2X - 6
(2) 4R - 4 = 3R + 10
(3) 2Y - 3 = Y - 4
(4) Ryan is X years old. Two times his age plus fifteen equals thirty-seven minus two. Write and equation showing how old Ryan is. Solve if you can.
(5) Andy is two fifths of Ruth's age. Ruth is ten. How old is Andy?

Answers

Step-by-step explanation:

I answered the first three in your next question :)

4) 2x + 15 = 37

Subtract 15

2x = 12

Divide by 2

x = 6

Ryan is 6 years old

5) A = 2/5(10)

A = 4

Andy is 4 years old

Hope it helps <3

which one of the following equals the difference between the total surface area and base area of any three-dimensional figure?A. Lateral area, B,altitude, C,perimeter, D,slant height PLEASE NEED ANSWERS

Answers

Answer:

lateral area

Step-by-step explanation:

examble a cube if you remove the base and the top you remain with the vertical faces and lateral means vertical(we remove the top because it has potential to be a base if you turn it) it applies to any side touching the ground e.g in a cuboid

Answer:

A. Lateral area

Step-by-step explanation:

The lateral surface area is the area of the lateral (vertical) surfaces, it excludes the area of the base and top of a 3D shape.

A chemist is mixing two solutions, solution A and solution B. Solution A is 15% water and solution Bis 20% water. She already has a
beaker with 10mL of solution A in it. How many mL of solution B must be added to the beaker in order to create a mixture that is 18%
water?

Answers

Answer:

15 ml

Step-by-step explanation:

We are told

Solution A = 15% of water

Solution B = 20% of water

Let's assume, the entire solution = 100ml

We are told that in the beaker we have 10 ml of Solution A already

Mathematically,

100 ml = 15%

10 ml = X

100ml × X = 15 × 10

X = 150/ 100

X = 1.5%

Hence in the beaker, we have 1.5% of water from Solution A

We are asked to find how many ml of solution B must be added to make the solution have 18% of water

Let y = number of ml of solution B

Hence

10 ml × 15%(0.15) = 1.5 ml of water - Equation 1

y ml × 20%( 0.20) = 0.20y ml of water ...... Equation 2

Add up the above equation

10ml + y ml ×18% (0.18) = 1.5 + 0.20y

(10 + y)(0.18) = 1.5 + 0.20y

1.8 + 0.18y = 1.5 + 0.20y

Collect like terms

1.8 - 1.5  = 0.20y - 0.18y

0.3 = 0.02y

y = 0.3/0.02

y = 15ml                              

Therefore,15mL of solution B must be added to the beaker in order to create a mixture that is 18% water

                     

Scarlett bought an ant farm with 80 ants. Frond the following week forward, the ant population tripled every week. Let g(n) be the number on ants in scarletts farm in the nth week since she got it. G is a sequence. What kind is it? Write an explicit formula for the sequence starting with g(n)=? Need help really bad

Answers

Answer:

g(n)=80*3^(n-1)

Step-by-step explanation:

Scarlett started with 80 ants

That is, first term (a)=80

The ant population tripled every week.

First week: 80×3=240

Second week=240×3=720

Common ratio=720/240=3

Or

240/80=3

Therefore, r=3

G is a geometric sequence

Geometric sequence is given by

g(n)=a*r^(n-1)

Substitute a=80 and r=3 into the equation

g(n)=a*r^(n-1)

g(n)=80*3^(n-1)

The explicit formula for the sequence is

g(n)=80*3^(n-1)

22.
Makes s the subject
[tex] \sqrt{p} \: is \: equals \: to \: \sqrt[r]{w \: - as ^{2}}[/tex]

Answers

Step-by-step explanation:

[tex] \sqrt{p} = \sqrt[r]{w - {as}^{2} } [/tex]

Find raise each side of the expression to the power of r

That's

[tex]( \sqrt{p} )^{r} = (\sqrt[r]{w - {as}^{2} } ) ^{r} [/tex]

we have

[tex]( \sqrt{p} )^{r} = w - {as}^{2} [/tex]

Send w to the left of the equation

[tex]( \sqrt{p} )^{r} - w = -{as}^{2} [/tex]

Divide both sides by - a

We have

[tex] {s}^{2} = -\frac{( \sqrt{p} )^{r} - w}{a} [/tex]

Find the square root of both sides

We have the final answer as

[tex]s = \sqrt{ -\frac{( \sqrt{p} )^{r} - w }{a} } [/tex]

Hope this helps you

if OA= 3 & AB= 2 what is the ratio of the circumference of the smaller circle to the circumference of the larger circle

Answers

Answer:

(B) 3/5

Step-by-step explanation:

In the figure above, both circles have their centers at point O. Point A lies on segment OB. If OA = 3 and AB = 2, what is the ratio of the circumference of the smaller circle to the circumference of the larger circle?

(A) 2/3

(B) 3/5

(C) 9/16

(D) 1/2

(E) 4/9

Answer: The circumference of a circle is the perimeter of the circle, that is it is the arc length of the circle. The circumference of a circle is given as:

Circumference = 2 π r.   Where r is the radius of the circle.

The radius of the bigger circle = length of OB = OA + AB = 3 + 2 = 5

Circumference of the bigger circle = 2 π (5) = 10π

The radius of the smaller circle = length of OA = 3

Circumference of the smaller circle = 2 π (3) = 6π

The ratio of the circumference of the smaller circle to the circumference of the larger circle = circumference of the smaller circle / circumference of the larger circle = 6π / 10π = 3/5

Which expressions are equivalent to -56z+28 ​ A 1/2*(-28z+14) B (-1.4z+0.7)\* 40 C (14-7z)*(-4) D (8z-4)*(-7) E-2(-28z-14)

Answers

Answer:

D (8z-4)*(-7)

Step-by-step explanation:

Given:

-56z+28

D (8z-4)*(-7)

-56z+28

Therefore, option D is the equivalent expression

Finding the equivalent expression by solving each option and eliminating the wrong option

​A 1/2*(-28z+14)

=-28z+14/2

=-14z+7

B (-1.4z+0.7) /* 40

Two signs ( division and multiplication)

Using multiplication,we have

-56z+28

Using division, we have

0.035z + 0.0175

C (14-7z)*(-4)

-56+28z

D (8z-4)*(-7)

-56z+28

E -2(-28z-14)

56z+28

Answer:

B and D

trust me

Sten thinks of a number and gives his friends some clues about it. "My number rounded to the nearest ten, nearest hundred, and nearest thousand gives the same value each time." Which choice is Sten's number? A. 735,619 B. 423,006 C.958,598 D.517,996

Answers

Answer:

Option D.

Step-by-step explanation:

Sten thinks of a number and gives his friends some clues about it.

"My number rounded to the nearest ten, nearest hundred, and nearest thousand gives the same value each time."  

Number     Nearest ten   Nearest Hundred   Nearest thousand

A. 735,619      735,620          735,600               736,000

B. 423,006     423,010          423,000               423,000

C.958,598      958,600         958,600               959,000    

D.517,996       518,000          518,000                518,000

The number 517,996 gives same values after rounded to the nearest ten, nearest hundred, and nearest thousand.

Therefore, the correct option is D.

8x + 5y=-22
-3x - 5y = 2

Answers

Answer:

(-4, 2).

Step-by-step explanation:

8x + 5y=-22

-3x - 5y = 2   Adding the 2 equations:

5x = -20

x = -4.

Substitute x = -4 in the first equation:

8(-4) + 5y = -22

5y = -22 + 32

5y = 10

y = 2.

Answer:

[tex]x=-4,\:\\y=2[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}8x+5y=-22\\ -3x-5y=2\end{bmatrix}\\\mathrm{Multiply\:}8x+5y=-22\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:24x+15y=-66\\\mathrm{Multiply\:}-3x-5y=2\mathrm{\:by\:}8\:\mathrm{:}\:\quad \:-24x-40y=16\\\\\begin{bmatrix}24x+15y=-66\\ -24x-40y=16\end{bmatrix}\\\\-24x-40y=16\\+\\\underline{24x+15y=-66}\\-25y=-50\\\begin{bmatrix}24x+15y=-66\\ -25y=-50\end{bmatrix}\\-25y=-50\\\mathrm{Divide\:both\:sides\:by\:}-25\\\frac{-25y}{-25}=\frac{-50}{-25}\\y=2\\[/tex]

[tex]\mathrm{For\:}24x+15y=-66\mathrm{\:plug\:in\:}y=2\\24x+15\times\:2=-66\\24x+30=-66\\24x+30-30=-66-30\\24x=-96\\\frac{24x}{24}=\frac{-96}{24}\\x=-4\\\\\\x=-4,\:y=2[/tex]

the domain for f(x) and g(x) is the set of all real numbers.

let f(x) = 3x + 5 and g(x) = x^2. find (f - g)(x).

Answers

Answer:

           (f - g)(x) = - x² + 3x + 5

Step-by-step explanation:

[tex]D_f=D_g\quad\implies\quad (f-g)(x)=f(x)-g(x)\\\\\\(f-g)(x)=f(x)-g(x)=(3x+5)-(x^2)=-x^2+3x+5[/tex]

What is the length of the radius in circle C? 3 4 5

Answers

Answer:

3 but not positive

Step-by-step explanation:

Answer:

5! i just did this question

Step-by-step explanation:

solve a+1= √b+1 for b

Answers

1. a+1=sqrt(b+1)
2. b+1=(a+1)^2
3. b=a^2+2a

So the third option is correct.

Answer: The Third one is correct

Step-by-step explanation:

Please answer it now in two minutes

Answers

Answer:

[tex] t = 17.3 [/tex]

Step-by-step explanation:

Given ∆TUV,

m < T = 87°

TV = u = 11

TU = v = 14

UV = t = ?

Find t using the Law of Cosines.

[tex] t^2 = u^2 + v^2 - 2*u*v*cos(T) [/tex]

Plug in your values.

[tex] t^2 = 11^2 + 14^2 - 2*11*14*cos(87) [/tex]

[tex] t^2 = 317 - 16.119 [/tex]

[tex] t^2 = 300.881 [/tex]

[tex] t = \sqrt{300.881} [/tex]

[tex] t = 17.3 [/tex] (to the nearest tenth)

hi :) in the pic is a question that i need help with i just dont get it

Answers

Answer:

Hey there!

The width is 3 inches, and in real life it would be 90 inches. (3x30)

The length is 5.5 inches, and in real life it would be 165 inches. (5.5x30)

90 inches is 7.5 feet

165 inches is 13.75

13.75 times 7.5 is 103.125, so rounded to the nearest integer, that would be 103 ft^2.

Hope this helps :)

Explains how to find n, the number of copies the machine can make in one minute and How long will it take the machine to print 5,200 copies

Answers

Answer:

[tex]n = 65m[/tex]

Number of minutes is 80 minutes

Step-by-step explanation:

Given

The attached table

Calculating the number of copies the machine can make in a minute

Represent number of minutes with m and number of copies with n

First, we need to calculate the ratio of m to n

[tex]Ratio = \frac{n}{m}[/tex]

When m = 5; n = 325

[tex]Ratio = \frac{325}{5}[/tex]

[tex]Ratio = 65[/tex]

When m = 10; n = 650

[tex]Ratio = \frac{650}{10}[/tex]

[tex]Ratio = 65[/tex]

When m = 15; n = 975

[tex]Ratio = \frac{975}{15}[/tex]

[tex]Ratio = 65[/tex]

When we continue for other values of m and n, the ratio remains the same;

So; we make use of [tex]Ratio = \frac{n}{m}[/tex] to determine the relationship between m and n

Substitute 65 for Ratio

[tex]65 = \frac{n}{m}[/tex]

Multiply both sides by m

[tex]m * 65 = \frac{n}{m} * m[/tex]

[tex]65m = n[/tex]

[tex]n = 65m[/tex]

This implies that, you have to multiply the number of minutes by 65 to get the number of copies

Calculating the number of minutes to print 5200 copies;

In this case;

Ratio = 65 and n = 5200

So;

[tex]Ratio = \frac{n}{m}[/tex] becomes

[tex]65 = \frac{5200}{m}[/tex]

Multiply both sides by m

[tex]65 * m = \frac{5200}{m} * m[/tex]

[tex]65 * m = 5200[/tex]

Divide both sides by 65

[tex]\frac{65 * m}{65} = \frac{5200}{65}[/tex]

[tex]m = \frac{5200}{65}[/tex]

[tex]m = 80[/tex]

Hence; number of minutes is 80 minutes

Drag a statement or reason to each box to complete this proof.
If -5(x + 8) = -25, then x =
-3

Answers

Correct! X=-3


Explanation: well let’s me show you the work :)


-5(x+8)= -25

Distribute! Yay my fav lol...so multiply the -5 into the “x” and 8
Multiply a negative with a positive you get negative so this is how your equation should look like now

-5x-40= -25

:)


Then you would solve!!! So add the 40 on both sides looking like this :)

-5x-40= -25
+40 +40

Giving you this :)

-5x= 15

It’s 15 because technically you’re subtracting the 25 from the 40, so 40-25 equals 15 :)

Then you divide both by -5 canceling the -5 in the top like this


-5x=15
————
-5 -5

Making x=-3 :)


I’ll have a pic for better understanding :) Hope this helped you!!! :) (sorry it’s in two parts :( but I hope it helped better to see the pic!! :) )

A cylindrical container with a radius of 5 cm and a height of 14 cm is completely filled with liquid. Some of the liquid from the cylindrical container is poured into a cone–shaped container with a radius of 6 cm and a height of 20 cm until the cone–shaped container is completely full. How much liquid remains in the cylindrical container? (1 cm3 = 1 ml)

Answers

Answer:

Volume left in the cylinder if all the cone is made full:

[tex]\bold{345.72 \ ml }[/tex]

Step-by-step explanation:

Given

Radius of cylinder = 5 cm

Height of cylinder = 14 cm

Radius of cone = 6 cm

Height of cone = 20 cm

To find:

Liquid remaining in the cylinder if cone is made full from cylinder's liquid.

Solution:

We need to find the volumes of both the containers and find their difference.

Volume of cylinder is given by:

[tex]V_{cyl} = \pi r^2h[/tex]

We have r = 5 cm and

h = 14 cm

[tex]V_{cyl} = \dfrac{22}{7} \times 5^2\times 14 = 1100 cm^3[/tex]

Volume of a cone is given by:

[tex]V_{cone} = \dfrac{1}{3}\pi r^2h = \dfrac{1}{3}\times \dfrac{22}{7} \times 6^2 \times 20 = \dfrac{1}{3}\times \dfrac{22}{7} \times 36 \times 20 = 754.28 cm^3[/tex]

Volume left in the cylinder if all the cone is made full:

[tex]1100-754.28 =345.72 cm^3\ OR\ \bold{345.72 \ ml }[/tex]

Please answer this in two minutes

Answers

Answer:

x ≈ 5.7

Step-by-step explanation:

Using the Sine rule in Δ WXY

[tex]\frac{WY}{sinX}[/tex] = [tex]\frac{XY}{sinW}[/tex] , substitute values

[tex]\frac{x}{sin33}[/tex] = [tex]\frac{10}{sin107}[/tex] ( cross- multiply )

x sin107° = 10 sin33° ( divide both sides by sin107° )

x = [tex]\frac{10sin33}{sin107}[/tex] ≈ 5.7 ( to the nearest tenth )

Dora bought a bottle of nail polish that was marked down by 20 percent from its original price of $4.50. Including a 9 percent sales tax, what is the final cost of the bottle of nail polish?

Answers

Answer:3.82

Step-by-step explanation: Find 80% of 4.50 (4.50 x 0.8=3.60) then find 6% of 3.6 (0.06 x 3.6= 0.216) add 0.216 + 3.6= 3.816 but in money you have to round so the answer is 3.82

Answer:

1.8

Step-by-step explanation:

$4.50-%20=3.6

3.6- %9=1.8

Find the center and radius of the circle defined by the equation x^2+y^2-7x+3y-4=0

Answers

Answer:

C. center: (7/2, -3/2); radius: sqrt(74)/2

Step-by-step explanation:

x^2 + y^2 - 7x + 3y - 4 = 0

We can put the equation in standard form by completing the square in x and in y.

x^2 - 7x + ___ + y^2 + 3y + ___ = 4 + ___ + ___

x^2 - 7x + (7/2)^2 + y^2 + 3y + (3/2)^2 = 4 + (7/2)^2 + (3/2)^2

(x - 7/2)^2 + (y + 3/2)^2 = 16/4 + 49/4 + 9/4

(x - 7/2)^2 + (y + 3/2)^2 = 74/4

(x - 7/2)^2 + (y + 3/2)^2 = (sqrt(74)/2)^2

Answer: center: (7/2, -3/2); radius: sqrt(74)/2

CAN SOMEONE HELP AND ACTUALLY GET THE ANSWER RIGHT the people that have been answering my stuff keep on getting them wrong just for the points and i will be reporting them I am paying good points for these

Answers

Answer:

2143.57m^3

Step-by-step explanation:

since the equation for the volume of a sphere is

V=4/3πr^3

plug the radius, 8m into the equation in place of r

V=4/3π(8)^3

and from there multiply the rest so

V=2048(3.14)/3

V= 6430.72/3

V= 2143.57

Answer:

2143.60

OR 2143.57

EXACTLY OR 682.6 *PI (6 IS REPEATING)

Step-by-step explanation:

THE FORMULA FOR FINDING THE VOLUME OF A SPHERE IS 4/3*PI*R^3=V

SO IN THIS CASE

4/3* 3.14* 8^3=V

4/3*3.14*512=V

682.6(6 IS REPEATING)*3.14

IF U WANNA STOP NOW YOUR ANSWER WILL BE 682.6(6 IS REPEATING)*PI

IF U CONTINUE THEN

682.6(6 IS REPEATING)*3.14=V

2143.57=V

WHICH ROUNDED IS 2143.6=V

HOPE I HELPED

I SPENT 10 MINS TYPING THIS

CAN I PLS GET BRAINLIEST? (DESPERATELY TRYING TO LEVEL UP)

                             -ZYLYNN JADE

This table shows values that represent an exponential function. What is the average rate of change for this function for the interval from x=3 to x=5? a. 8 b. 12 c. 6 d. 16

Answers

Answer:

[tex]\boxed{12}[/tex]

Step-by-step explanation:

When x = 3, y = 13

When x = 5, y = 37

Subtract both y-values to find the change:

37 - 13 = 24

Average of the change:

[tex]\frac{24}{2}[/tex] = 12

X-y= 4
x+y=8
The x-coordinate of the solution to the system shown is
06
02.
O 12
04

Answers

Answer:

x = 6.

Step-by-step explanation:

x - y = 4

x + y = 8

2x = 12

x = 6.

6 - y = 4

-y = -2

y = 2

6 + y = 8

y = 2

Hope this helps!

The solution to the system of equations is (6, 2).

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are

x-y=4 ------(i)

x+y=8 ------(ii)

Subtract equation (ii) from equation (i), we get

x+y-(x-y)=8-4

x+y-x+y=4

2y=4

y=2

Substitute y=2 in equation (i), we get

x-2=4

x=6

So, the solution is (6, 2)

Therefore, the solution to the system of equations is (6, 2).

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ7

please help me. I will love u forever if u do <333

Answers

Answer:

61% is a reasonable choice

Step-by-step explanation:

The probability of a strike is 79% or 0.79

=> Independently, the probability of 2 consecutive strikes:

P = 0.79 x 0.79 = 0.6241 ~ 61%

Mrs.Joshi bought a saree for Rs 1,750.she sold it at a profit of 4%.what would be her profit or loss percent if she had bought it for Rs 2,000?​

Answers

Answer:

9% loss

Step-by-step explanation:

We first can find the amount of money the saree was sold for by multiplying its buy cost, 1,750, by 1.04 (adding 4% to 1)

[tex]1750 \cdot 10.4 = 1820[/tex]

Now, 1820 is definitely less than 2000, so we need to find the percent difference between 2000 and 1820. We can use the formula:

[tex]\frac{higher-lower}{higher} \cdot 100[/tex]

So,

[tex]\frac{2000-1820}{2000} \cdot 100[/tex]

[tex]\frac{180}{2000} \cdot 100[/tex]

[tex]0.09 \cdot 100[/tex]

9

So, the loss percent of this dress is 9%.

Hope this helped!

What is the length of the line?

Answers

Answer:

[tex]\boxed{\sf B. \ \sqrt{61} }[/tex]

Step-by-step explanation:

The line can be made into a hypotenuse of a right triangle.

Find the length of the base and the height of the right triangle.

The base (leg) is 6 units.

The height (leg) is 5 units.

Apply Pythagorean theorem.

[tex]\sf c=\sqrt{a^2 +b^2 }[/tex]

[tex]\sf c=\sqrt{6^2 +5^2 }[/tex]

[tex]\sf c=\sqrt{36+25 }[/tex]

[tex]c=\sqrt{61}[/tex]

Answer:

[tex] \sqrt{61} [/tex]

Option B is the correct option

Step-by-step explanation:

Assuming center of co-ordinate axes at lower left corner at the line. So end points are:

( x1 , y1 ) = ( 0 , 0 ) and ( x2 , y2 ) = ( 6 , 5 )

Distance between two points is given by formula:

D [tex] = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

[tex] = \sqrt{ {6 - 0)}^{2} + {(5 - 0)}^{2} } [/tex]

[tex] = \sqrt{ {6}^{2} + {5}^{2} } [/tex]

[tex] = \sqrt{36 + 25} [/tex]

[tex] = \sqrt{61} [/tex]

Hope this helps..

Best regards!!

The point (2, 3) is on the terminal side of angle Θ, in standard position. What are the values of sine, cosine, and tangent of Θ? Make sure to show all work.

Answers

Answer:

[tex]Sin \theta = \frac{Perpendicular}{Hypotenuse}=\frac{3}{\sqrt{13}}[/tex]

[tex]Cos \theta = \frac{Base}{Hypotenuse}=\frac{2}{\sqrt{13}}[/tex]

[tex]Tan \theta = \frac{Perpendicular}{Base}=\frac{3}{2}[/tex]

Step-by-step explanation:

We are given that The point (2, 3) is on the terminal side of angle Θ, in standard position

First Draw a vertical line from the point(2,3) to the x axis.

So, Length of vertical line is 3

The intersection of the line with the x axis is at x=2.

 So, now we have obtained a triangle with the horizontal side of length 2, the vertical side of length 3

To Find hypotenuse we will use Pythagoras theorem

[tex]Hypotenuse^2=Perpendicular^2+Base^2\\Hypotenuse^2=3^2+2^2\\Hypotenuse=\sqrt{9+4}\\Hypotenuse=\sqrt{13}[/tex]

[tex]Sin \theta = \frac{Perpendicular}{Hypotenuse}=\frac{3}{\sqrt{13}}[/tex]

[tex]Cos \theta = \frac{Base}{Hypotenuse}=\frac{2}{\sqrt{13}}[/tex]

[tex]Tan \theta = \frac{Perpendicular}{Base}=\frac{3}{2}[/tex]

Other Questions
Erin just finished her participation in a research study on sexual responsiveness. She is afraid that the way she responded to certain questions and experiences is somehow going to come out in social media. To address her concerns, the research team would use the ___________process. Which statement most accurately describes a conflict of commitment? It involves a monetary gain by one party over another party. It occurs when outside activities interfere with ones responsibilities to an employer. It occurs when an institution does not follow the financial rules from a funding source. It can only occur between an institution and an outside organization. A grove of pine trees grows in a cluster around the bank of a lake. what is this an example of El proceso por el cual el movimiento de los msculos que intervienen en la produccin de la voz en distintas direcciones cambiando la forma de la boca produciendo diferentes sonidos recibe el nombre de? Segment BD is parallel to segment CE. If AB = 4, AC = 6, and AD = 7, what is AE? On September 11, 2016, Home Store sells a mower for $450 with a one-year warranty that covers parts. Warranty expense is estimated at 9% of sales. On July 24, 2017, the mower is brought in for repairs covered under the warranty requiring $32 in materials taken from the Repair Parts Inventory.Prepare the September 11, 2016, entry to record the mower sale, and the July 24, 2017, entry to record the warranty repairs. Ozone molecules in the stratosphere absorb much of the harmful radiation from the sun. How many ozone molecules are present in 2.00 L of air under the stratospheric ozone conditions of 275 K temperature and 1.89 103 atm pressure? What is the most likely reason the United Kingdom had the largest shipping losses? The United Kingdom had the largest navy--- Russia reached a truce earlier in the war--- The United Kingdom had the weakest navy--- Germany fought most of its battles on land--- A.) THE UNITED KINGDOM HAND THE LARGEST ARMY Black Friday, the day after Thanksgiving, is the largest shopping day of the year. Do the early shoppers, who often wait in line for hours in the cold to get doorbuster sale items, have elastic or inelastic demand? solve the simultaneous equation y=x+3y=7x+1I'll mark you BRAINLIEST Which word correctly completes this sentence? La _________ de la playa se genera por la erosin de rocas. A. marea B. arena C. brisa D. ola Scattered light in the atmosphere is often partially polarized. The best way to determine whether or not light from a particular direction in the sky shows polarization is to why should gender selection with embryos be illegal. give 2 reasons What is one of the reasons why Gregor Mendel chose to study pea plants? They exhibit only a single trait. They produce flowers. They grow very slowly. They reproduce sexually. A 0.100g sample of Mg when combined with O2 yields 0.166g of Mgo, asecond Mg sample with a mass of 0.144g is also combined with O2. Whatmass of MgO is produced from the second sample? HURRY I NEED IT NOW!!! What is the solution to this system of equations? x + 2 y = 4. 2 x minus 2 y = 5. (3, Negative 5 and one-half) (3, one-half) no solution infinitely many solutions Please help ASAP. Determine an equation of a quadratic function with the characteristics of its graph. Coordinates of the vertex: V(5,4) ; y intercept 79 Many store brands use packaging and labeling that is similar to the more expensive national brand. The hope is that the look-alike package will elicit a similar response in consumers that encourages them to purchase the cheaper store brand. This is an example of Group of answer choices Differentiate with respect to x and simplify your answer. Show all the appropriate steps? 1.e^-2xlog(ln x)^3 2.e^-2x(log(ln x))^3 3.sin(xe^x)^3 4.sin^3(xe^x) 5.ln(xy)=e^2y What did congress pass in 1988 as a form of apology to the surviving victims of internment camp