PLS HELP
Given the following diagram, find the required measures.
Given: l || m
m∠1=120
m∠3=40
m∠4=
120
50
140

Answer:

Tthe length of AB is 13.6 cm

Step-by-step explanation:

Step 1: calculate length CD using the area of a triangle

[tex]A = \frac{1}{2} \times (AD \times CD) \times \ sine (D)\\\\52 = \frac{1}{2} \times (12 \times CD) \times \ sine (102)\\\\52 = 6CD \times 0.978\\\\52 = 5.868CD\\\\CD = \frac{52}{5.868} \\\\CD = 8.862 \ cm[/tex]

Step 2: calculate length AC using Cosine rule;

[tex]AC^2 = AD^2 + CD^2 - 2(AD \times CD)cos (D)\\\\AC^2 = 12^2 + 8.862^2 - 2(12 \times 8.862)cos(102)\\\\AC^2 = 222.535 - 2(-22.11)\\\\AC^2 = 222.535 + 44.22\\\\AC^2 = 266.755\\\\AC = \sqrt{266.755} \\\\AC = 16.33 \ cm[/tex]

Step 3: Apply sine rule to calculate length AB;

[tex]\frac{AB}{sin \ 46} = \frac{AC}{sin \ 120} \\\\AB = \frac{sin \ 46 \ \ \times \ \ AC}{sin \ 120} \\\\AB = \frac{sin \ 46 \ \ \times \ \ 16.33}{sin \ 120} \\\\AB = 13.56 \ cm \\\\AB = 13.6 \ cm[/tex]

Therefore, the length of AB is 13.6 cm

Answer:

8 g/cm cube

Step-by-step explanation:

[tex]Density= \frac{mass}{volume}[/tex]

Density = [tex]\frac{40}{5}[/tex]

Density = 8 g / cm cube

Hope this helps :)

Answer:

The third one

Step-by-step explanation:

exterior angles are angles that are outside of the triangle

The angles that are outside of the triangle include ∠4, ∠5 and ∠6

Therefore the correct answer is the third one

Answer:4.12

Step-by-step explanation: I need brainliest for next rank I’d appreciate it

Answer:

Fraction- 12/14 (6/7)

Decimal- 0.85 or 0.86 (depending if you want to round up)

Percent- 85%

Step-by-step explanation:

Add all of the CD's that arent comedy then put the total number of CD's below. And then take 12/14 and apply it as a decimal and percent and also simplify it if needed.

step 1

so so s ososoosososososososososososososoosososososzosoosossoosososo

Step-by-step explanation:

The most important thing to remember is: SOH CAH TOA

sin(x) = opposite/hypotenuse

cos(x) = adjacent/hypotenuse

tan(x) = opposite/adjacent

So in #1:

We have the angle and hypotenuse and need to solve for the side opposite of the angle. This smells like a sine question.

sin(42)=x/25

this means that x=25sin(42). Plug that into the calculator and get: 16.73.

(Make sure you are in degrees mode)

For #2:

We are given the angle, the opposite side, and have to solve for the adjacent side. Looks like we need the tangent.

tan(75)=12/x

This means that x=12/tan(75). Calculator says: 3.22

For #3:

We have the angle, adjacent, and have to solve for the hypotenuse. This would be a cosine.

cos(36)=19/x

Solve for x: x=19/cos(36). Calculator says: 23.49

For #4:

We have the angle, adjacent side, and need the opposite side. This is another tangent problem.

tan(53)= x/7

Solving for x: x=7tan(53). Calculator says: 9.29

Answer:

your answer is p=-1

Step-by-step explanation:

¼ of 16 is 4 so 4+4p to get p alone you subtract 4 from both sides so 4p=-4 then divide both sides by 4 -4/4=-1

Answer:

The time taken is 4.79 minutes.

Step-by-step explanation:

[tex]P = Po(1.4)^{t}[/tex]

initial Population, Po = 400

Final population, P = 2000

Let the time is t.

[tex]2000 = 400(1.4)^{t} \\5 = (1.4)^t\\log 5 = t log 1.4\\0.6989 = 0.146 t \\t = 4.79 minutes[/tex]

Answer:

Step-by-step explanation:

The circles are written in standard form. The standard form squares the radius on the right hand side.

Circle A

radius = sqrt(9)

radius = 3

Circle B

radius = sqrt(8)

radius = sqrt(2 * 2 * 2)

radius = 2 sqrt(2)

Answer:

Jeremiah saved $32....

Answer:

Prolly faster than the flash

Step-by-step explanation:

:)

Answer:

16

Step-by-step explanation:

b=16

Following the pattern, we can assume that each term adds by 1. So 15+1 = 16.

Answer:

X= 40

Step-by-step explanation:

if you compare the shapes, the X square is half of 6. so i added 6 and 3, then 2 and 3, then multiplied it, and the answer is 40.

Answer:

I believe the correct answer here is C!

Step-by-step explanation:

The option (A) is correct.

"The logarithmic function y = log b x is the inverse function of the exponential function y = b x. We can now proceed to graphing logarithmic functions by looking at the relationship between exponential and logarithmic functions".

For the given situation,

[tex]f(x)=logx[/tex]

Plot the graph of  [tex]f(x)=logx[/tex] .

From the graph shown below, the region of the graph lies in the domain of { x|0 < x < ∞ } and approaches as 0 as x decreases.

Hence we can conclude that the option (A) is correct.

https://brainly.com/question/14411373

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Answer:

16

Step-by-step explanation:

one side is four the other is four 4x4 is 16

Answer:

8

Step-by-step explanation:

Since its 1/2 cm per cube, each side is 4 cubes, 4x1/2 = 2. 2x2x2 = 8

Answer:

-3x^2+16x+64

Step-by-step explanation:

First, you need to find the area of both areas (the total area and the area of the unshaded part). Let's find the total area.

(x+8)(x+8)=x^2+16x+64

The total area is x^2+16x+64

(2x)(2x)=4x^2

The area of the unshaded part is 4x^2

Now we have to subtract to find the area of the shaded part.

x^2+16x+64-4x^2

-3x^2+16x+64

That is the answer

Hope this helped!! :D

Answer:

-14

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

Answer:

2√5

Step-by-step explanation:

Distance = √(x1-x2)² + (y1-y2)²

Distance = √(-1-3)² + (4-2)²

Distance = 2√5

Answer:

[tex]\displaystyle d = 2\sqrt{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

Point (-1, 4)

Point (3, 2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

Hello! answer: 186

7 3/4 × 2 × 12 = 186

Hope that helps!

there is not enough info given to tell how long it would take

Answer:

The answer is B.  x=-3 and x=-1

Step-by-step explanation:

got it right

Answer:

Step-by-step explanation:

point P1 (-4,-2)  in the form (x1,y1)

point P2(6,6)  in the form (x2,y2)

slope = m

m = (y2-y1) / (x2-x1)

copy and paste the above formula into word pad on your computer for any problem asking about slope  :)

m =  [ 6-(-2) ] / [ 6-(-4) ]

m =  [ 6+2 ] / [ 6+4 ]

m = 8 / 10

m = 4/5

The required slope of the line is 4/5 which passes through the points (–4, 2) and (6, 6).

The slope of line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

The given Line passes through the points (–4, 2) and (6, 6).

Let

x₁ = -4, y₁ = 2

x₂ = 6, y₂ = 6

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute the values in the above formula and solve for m

m =  [ 6-(-2) ] / [ 6-(-4) ]

m =  [ 6+2 ] / [ 6+4 ]

m = 8 / 10

Reduce the fraction into a simplest form,

m = 4/5

Thus, the required slope of the line is 4/5 which passes through the points (–4, 2) and (6, 6).

Learn more about Slope of the Line here:

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Answer:

16, 46, 23

Step-by-step explanation:

let the first number be x , then the third number is x + 7 and the second is

2(x + 7) = 2x + 14

Sum the numbers and equate to 85

x + 2x + 14 + x + 7 = 85

4x + 21 = 85 ( subtract 21 from both sides )

4x = 64 ( divide both sides by 4 )

x = 16

x + 7 = 16 + 7 = 23

2(x + 7) = 2(16 + 7) = 2(23) = 46

The numbers are 16, 46, 23

Answer:

i know that the width of the rectangle is two centimeters less then 8 times the length. I also know the perimeter is 68 cm. I need to know the length of the rectangle.

Answer:

D. All of the above

Step-by-step explanation:

All of those would reach higher than 300 when you go 4 to the right.