Which equation correctly uses the law of cosines to solve for the missing side length of trianglepqr? 62 = p2 82 – 2(p)(8)cos(39°) p2 = 62 82 – 2(6)(8)cos(39°) 82 = 62 p2 – 2(6)(p)cos(39°) p2 = 62 62 – 2(6)(6)cos(39°)

Answer:

1. 112 degrees = d 1.95 units clockwise

2.57 degrees = a 0.99 units

3. -133 degrees = b 2.32 units clockwise

4. 215 degrees = c (-0.82, -0.57)

Step-by-step explanation: I guessed on most of them by just looking at the unit circle and proof of their accurracy: just finished the edge practice.

The solution tothe logarithmic function log₃([3x+2] = log₃(4x - 6) is 8

Given the logarithm expression

log(3)[[3x+2] = log(3)[4x - 6]

The logarithm on both sides of the equation will cancel out to have:

3x + 2 = 4x - 6

Collect the like terms

3x - 4x = -6 - 2

-x = -8

x =8

Hence the solution tothe logarithmic function log₃([3x+2] = log₃(4x - 6) is 8

Learn more on logarithm here: https://brainly.com/question/13473114

Answer:

8

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

isolate the variable and the numbers

Answer:

-2

Step-by-step explanation:

4+3(x-2)=2x-4

distibute 3 to (x-2)

4+3x-6=2x-4

simplify

3x-2=2x-4

add -4 (becomes +4) to -2

3x+2=2x

subtract 3x

2=-x

divide the negative

-2=x

Answer:

he should save $70 each week

Step-by-step explanation:

1200 - 640 = 560

560/8 = 70

Answer:

x=16 or x=2

Step-by-step explanation:

[tex]x^{2}[/tex]=18x-32

-[tex]x^{2}[/tex]  -[tex]x^{2}[/tex]

[tex]x^{2}[/tex]-(18x-32)=0

[tex]x^{2}[/tex]-18x+32=0

Factorize

x         2

x         16

(x-16)(x-2)

x-16=0

+16    +16

x=16

or

x-2=0

+2   +2

x=2  

Answer:

804.2

Step-by-step explanation:

Formula
[tex]\pi r^{2}[/tex]

plug in

[tex]\pi *16^{2}[/tex]

≈ 804.24772

round to nearest tenth

≈ 804.2

Answer:

[tex]x = \frac{2}{539} [/tex]

Step-by-step explanation:

[tex] \frac{x + 2}{3x} = 180[/tex]

[tex]180(3x) = x + 2[/tex]

[tex]540x = x + 2[/tex]

[tex]540x - x = 2[/tex]

[tex]539x = 2[/tex]

[tex] \frac{539x}{539} = \frac{2}{539} [/tex]

[tex]x = \frac{2}{539} [/tex]

Answer:

CB = sqrt  (4a^2 + 6b^2)

Step-by-step explanation:

Using distance formula

d^2  = ( x1-x2)^2   +  (y1-y2)^2

d^2 = (3a - -a)^2    +  (b - -5b )^2

d^2 = (4a)^2      +      (6b)^2        

Answer: [tex]CB = \sqrt{16a^2 + 36b^2}\\\\[/tex]

Work Shown:

[tex]d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\CB = \sqrt{(3a-(-a))^2 + (b-(-5b))^2}\\\\CB = \sqrt{(3a+a)^2 + (b+5b)^2}\\\\CB = \sqrt{(4a)^2 + (6b)^2}\\\\CB = \sqrt{16a^2 + 36b^2}\\\\[/tex]

If that doesn't work, then your teacher may only want the stuff in the green box. So that would be either b-(-5b), or b+5b, or 6b

Answer:

-0.89 (i think)

Step-by-step explanation:

Since the graph seems to be going downwards from the right, it has a negative correlation. And since the data seems to be pretty close together, the correlation must be strong. That narrows the answer down to -0.89

If its wrong then i'm not a smart person, and it's -0.15

Answer: 90 students

Step-by-step explanation:

I got this question on my test, and the answer was 90

100% verified! :D

Answer:

D

Step-by-step explanation:

6(6.4)^2

=245.76

245.76 rounded = 245.8

Answer:

Option D, [tex]245.8\ units^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area

[tex]A = l * w[/tex]

[tex]A = 6.4\ units * 6.4\ units[/tex]

[tex]A = 40.96\ units^2[/tex]

Step 2:  Determine the surface area

We know that we have 6 sides of equal area that means that we can just use [tex]6 * 40.96\ units^2[/tex]  which gives us [tex]245.76\ units^2[/tex].

Answer: Option D, [tex]245.8\ units^2[/tex]

Answer:

Step-by-step explanation:

It is given that the area of a circle is 36.43cm² and we have to find the length of the radius.

So, first of we must know this formula :

⇒ πr² = Area(Circle)

Now, Substituting the given values in the formula :

⇒ 3.14 × r² = 36.43

⇒ r² = 36.43/3.14

⇒ r² = 11.60

⇒ r = √11.60

⇒ r = 3.40

Therefore,

Hey ! there

Answer:

Step-by-step explanation:

In this question we are given with area of circle that is 36.43 cm² . And we are asked to find the length of radius of circle rounded to two decimal points .

We know that ,

[tex] \qquad \quad \frak{Area_{(Circle)} = \pi r {}^{2} } \quad \bigstar[/tex]

Where ,

Solution : -

According to question , area of Circle is equal to 36.43 . So ,

[tex] \longrightarrow \qquad \: \pi r {}^{2} = 36.43[/tex]

Step 1 : Substituting value of π :

[tex] \longrightarrow \qquad \:3.14 \times r {}^{2} = 36.43[/tex]

Step 2 : Transposing 3.14 to right side :

[tex] \longrightarrow \qquad \: r {}^{2} = \cancel{\dfrac{36.43}{3.14} }[/tex]

On dividing 36.43 by 3.14 , We get :

[tex] \longrightarrow \qquad \: r {}^{2} = 11.60[/tex]

Step 3 : For removing square from r , We are applying root on both sides :

[tex] \longrightarrow \qquad \: \sqrt{r {}^{ 2 }} = \sqrt{ 11.60}[/tex]

We get :

[tex] \longrightarrow \qquad \:r = \sqrt{11.60} [/tex]

Step 4 : Finding square root of 11.60 , We get :

[tex] \longrightarrow \qquad \: \purple{\underline{\boxed{\frak{r = 3.40 \: cm}}}} [/tex]

#1

Area of base=1/2(2.8)(4.2)

Volume:

#2

Area of base

Volume:-

Answer:

Volume of a prism = area of base × height

⇒ V = Bh

Question 7

The base of this prism is the triangle.

Area of a triangle = 0.5 × base × height

Given:

Therefore:

[tex]\begin{aligned}\sf V & = \sf Bh\\ & = \sf (0.5 \cdot \boxed{\sf 4.2} \cdot \boxed{\sf 2.8}) \cdot 7\\ & = \sf \boxed{\sf 41.16}\:m^3\end{aligned}[/tex]

Question 8

The base of this prism is a regular hexagon.

Area of a hexagon = 0.5 × apothem × perimeter

Given:

Therefore:

[tex]\begin{aligned}\sf V & = \sf Bh\\ & = \sf (0.5 \cdot \boxed{\sf 6.1} \cdot 7 \cdot 6) \cdot \boxed{\sf 14}\\ & = \sf 128.1 \cdot \boxed{\sf 14}\\ & = \sf \boxed{\sf1793.4}\:cm^3\end{aligned}[/tex]

Answer:

192π

Step-by-step explanation:

cylinder volume is base times height

2πr^2 = base = 64π

height = 3

64π*3 = 192π

The volume of the given cylinder is 192π cubic units. Therefore, option C is the correct answer.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

From the given figure, radius of a cylinder = 8 units and radius of a cylinder = 3 units.

We know that, volume of a cylinder is πr²h.

Now, volume = π×8²×3

= π×64×3

= 192π cubic units.

Therefore, option C is the correct answer.

To learn more about the volume visit:

https://brainly.com/question/13338592.

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Answer: try the US cellar field

Home plate is 400ft

Field fence height is 8ft

Angel of elevation is 0.85

Answer:

B:2

Step-by-step explanation:

3x2/3=3/1x2/3=6/3=2

Answer:

$25(h) + $130

Step-by-step explanation:

Answer:

[tex] \sf 130 + 25h = TA [/tex]

[tex]Solving Steps : - [/tex]

Question :-Anna works as a painter. She charges S130 for paint supplies and $25 for each hour, h, she works. Which expression represents the total amount of money Anna charges?

Given :- To find the expression represents the total amount of money Anna charges?

She earns $ \sf 130 \:for\: paint\: supplies\: and\: $25 per hour

Therefore, will add $130 to $25 and add a variable letter 'h'

⇒ $130 + $25(h)

⇒ $130 + $25h = TA

Expression = [tex] 130 + 25h = TA [/tex]

~Done~

Have a wonderful and fruitfull day :-)

Answer:

80%

Step-by-step explanation:

We can generalize from a specific example.

Let's assume that the season is 100 games long.

We have played 75% of the season, which is 75 games

We have won 40% of the games that we have played, so we have won 40% of 75 games, which is 30 games.

So, we must have lost 45 games.

To finish the season with as many wins as losses, of the 25 games we have left to play, we will have to win 20 games and lose 5.

To win 20 out of the last 25 games will be 20/25  =  0.80  =  80%

Answer:

yes, eric must score at least a mid A which is about 90%. Pretty simple...

Answer:

-5,6,-2/3,1 1/3,0

Step-by-step explanation:

I think this how it goes try it out or not i need help to

Answer:

B. if it says that the insurence company has increased the price of the plan by a certian amount, then the montly price will increase by a few dollars.

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

i got it  on khan

Answer: 18

Step-by-step explanation: I got it on the Khan test don't trust the first one. ,,ԾㅂԾ,,

Answer: $7

Step-by-step explanation: if a stapler cost $3, then 20staplers will cost $60

Amount left will be $200-60=$140

Cost of one organiser will be $140/20

That will be $7

Answer:

17

Step-by-step explanation:

I took the test

The angle RAT which is made with AR and AT line and shown in the figure of protector, measures 30 degrees.

Protector is the most useful device to measure the angle between two lines. To measure the angle between two lines using the protector following steps is followed:

In the given figure, The angle Between AR and AT line is 30 degrees shown in protector.

Thus, the angle RAT which is made with AR and AT line and shown in the figure of protector, measures 30 degrees.

Learn more about the protector here:

https://brainly.com/question/1161640

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Answer:

centre = (2, - 3 ) and radius = 5

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 4x + 6y - 12 = 0 ( add 12 to both sides )

x² + y² - 4x + 6y = 12 ( collect x/ y terms )

x² + 4x + y² + 6y = 12

using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(-2)x + 4 + y² + 2(3)y + 9 = 12 + 4 + 9

(x - 2)² + (y + 3)² = 25 ← in standard form

with (h, k ) = ( 2, - 3 ) and r = [tex]\sqrt{25}[/tex] = 5

Answer:

center of the circle = (2, -3)

radius of the circle = 5

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given equation:

[tex]x^2+y^2-4x+6y-12=0[/tex]

Collect like terms:

[tex]\implies x^2-4x+y^2+6y-12=0[/tex]

Add 12 to both sides:

[tex]\implies x^2-4x+y^2+6y=12[/tex]

Complete the square for both variables.

Add 4 to both sides for x.  Add 9 to both sides for y.

[tex]\implies x^2-4x+4+y^2+6y+9=12+4+9[/tex]

[tex]\implies (x^2-4x+4)+(y^2+6y+9)=12+4+9[/tex]

Factor the two variables:

[tex]\implies (x-2)^2+(y+3)^2=25[/tex]

Therefore:

Answer:

4,000

Step-by-step explanation:

To round a number, take the place next to the one you wish to round and look to see if it is four or under, or five or up. In this case, 2 is less than 5 so we will be rounding down towards the nearest integer, which is 4. Also, all places after the place value you round will become zero. So, 4,000 rounded to the thousands place is 4,000.

hope this helps :)

Answer:

The answer would be 4,000

Step-by-step explanation:

even if you round it up the the nearest hundred, it would still be 4,000.

Answer:

x= 7 1/2

Step-by-step explanation:

Subtract the 1/2 to get it out of the way (whatever you do on one side of the = sign you have to do to the other)

So 10- 1/2= 9 1/2

Subtract the 2 to get it out of the way

9 1/2-2=

7 1/2

Hope it helped :)