Find the perimeter of the triangle ​

Answer:

The answer is option 2.

Step-by-step explanation:

First, you have to find the height of the triangle using Cosine Rule, cosθ = adjacent/hypotenuse :

[tex]cos(θ) = \frac{adj.}{hypo.} [/tex]

[tex]θ = 30,adj. = h,hypo = 18[/tex]

[tex] \cos(30) = \frac{h}{18} [/tex]

[tex]18 \cos(30) = h[/tex]

[tex]h = 9 \sqrt{3} \: m[/tex]

Next, you have to find the area of triangle using Sin Rule, Area = 1/2×a×b×sinC where a, b represent the side length of the angle and C is the angle :

[tex]area = \frac{1}{2} \times a \times b \times sin(C)[/tex]

[tex]let \: a = 9 \sqrt{3} ,b = 18,C = 30[/tex]

[tex]area = \frac{1}{2} \times 9 \sqrt{3} \times 18 \times \sin(30) [/tex]

[tex]area = 70.1 \: {m}^{2} \: (near.tenth)[/tex]

Answer:

70.1

Step-by-step explanation:

This is a 30-60-90 right triangle.

The ratio of side lengths is as follows:

short leg   :   long leg   : hypotenuse

    1            :    sqrt(3)     :       2

The short leg is 1/2 the hypotenuse.

The long leg is sqrt(3) times the short leg.

A = bh/2

A = (18/2)(18/2 * sqrt(3))/2

A = 70.1

Hey there! I'm happy to help!

We want to put this 0.002 into scientific notation, where you put it as a one digit number multiplied by 10 raised to a certain power.

If we move the decimal to the right 3 times, we will have 2. We will multiply this 2 by [tex]10^-^3[/tex] to show that it is still equal to 0.002.

So, the mass of the mustard seed is 2×[tex]10^-^3[/tex].

Now, we multiply this mustard seed mass by the number of mustard seeds to find the weight of all of the mustard seeds combined.

(2×[tex]10^-^3[/tex])×(4.3602×[tex]10^4[/tex])

Let's round 4.3602 to the nearest whole number, which is 4. We multiply those two together.

2×4=8

And we multiply the two exponents. When multiplying them, you add the numbers in the exponent. -3 and 4 combined gives us 1, and 10 the first power is just 10.

So, a good estimate for the mass of the mustard seeds is 80 grams, which is the same as (2×[tex]10^-^3[/tex])×(4×[tex]10^4[/tex])=8×[tex]10^1[/tex]

Have a wonderful day! :D

Answer:

Hey There!! The answer to this is B: The mass of a single seed can be written as

There are total of seeds in the jar

Total mass is the multiplication of these both numbers.

Since we want an estimate, we can use 4 instead of 4.3602 in the 2nd number.

The rule to multiply two numbers in scientific notation is:

So using this formula we multiply the 2 numbers and get answer as follows:

Thus, Answer choice B is right.

Hope It Helped!~ ♡

ItsNobody~ ☆

Answer:

D. x = 3+i√5 or 3-i√5

Step-by-step explanation:

Given the equation x² - 6x = -14, on rewriting the equation in the firm if a quadratic equation ax²+bx+c = 0 will give x² - 6x + 14= 0.

Required

Use the quadratic formula to solve the equation.

The quadratic formula is expressed as x = (-b±√b²-4ac)/2a

From the equation given, a = 1, b = -6 and c = 145.

x = (-(-6)±√(-6)²-4(1)(14))/2(1)

x = = (6±√36-56)/2

x = = (6±√-20)/2

x =  (6±√20*√-1)/2

Since √-1= i

x =  (6±√20 i)/2

x =  (6±√5*4 i)/2

x =  (6±2√5 i)/2

x = 6/2 ± 2√5 i/2

x = 3±√5 i

x = 3+i√5 and 3-i√5

Hence the solution to the quadratic equation is x = 3+i√5 and 3-i√5

Answer:

The sample proportion, p, of gun owners who own gun for protection is 0.67

Step-by-step explanation:

The information given are;

The sample size = 3930

The number of individuals who reported that they owned guns at least on gun = 1269

The number of the self reported gun owners that said the reason they owned gun for protection = 850

The sample proportion, p, of gun owners who own gun for protection is given as follows;

p = (The number of the self reported gun owners that said the reason they owned gun for protection )/(The number of individuals who reported that they owned guns at least on gun)

p = 850/1269 = 0.6698 ≈ 0.670 (to three decimal places)

Therefore, the sample proportion, p, of gun owners who own gun for protection = 0.67.

Answer:

C

Step-by-step explanation:

Divide 4.5 by 3 = 1.5

1.5 x 3 = 4.5

Answer:

1.5 (c)

Step-by-step explanation:

You have to find the difference:

so you have to divide 4.5 the original and 3 the scaled image to see how much changed.

4.5 / 3 = 1.5  

━━━━━━━☆☆━━━━━━━

▹ Answer

$49,980

▹ Step-by-Step Explanation

[tex]\frac{20}{100} * $249,900 \\\\= $49,980[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

x=-2       x=-1

Step-by-step explanation:

f(x)=x² +3x+2

Set the function equal to zero

0=x² +3x+2

Factor

What 2 numbers multiply to 2 and add to 3

2*1 = 2

2+1 = 3

0 = ( x+2) (x+1)

Using the zero product property

x+2 =0   x+1 =0

x=-2       x=-1

Answer:

4x10⁷is more than 4x10¹⁰

Answer:

-3a-1/2b

Step-by-step explanation:

1/2(2a+b)-(4a+b)

2/2a+1/2b-4a-b

a-4a+1/2b-b

-3a+1/2b-2/2b

-3a-1/2b

Answer:

-3a -1/2 b

Step-by-step explanation:

1/2 (2a + b) - (4a + b)

Distribute

a + 1/2 b -4a -b

Combine like terms

a -4a  +1/2b - b

-3a -1/2 b

Answer:

16 cards

Step-by-step explanation:

We can use logic to find out how many cards were in the beginning.

If Ted took 6 cards, and Gina took half of what remained, then when Gina took cards, she had [tex]6\cdot2=12[/tex] to choose from.

Now, Anna took [tex]\frac{1}{4}[/tex] of the cards, meaning that 12 is [tex]\frac{3}{4}[/tex] of the amount of cards there originally were.

[tex]\frac{12}{x} = \frac{3}{4}\\\\12\cdot4=48\\\\48\div3=16[/tex]

Hope this helped!

Answer:

[tex]y=csc(\theta)[/tex]

[tex]y=cot(\theta)[/tex]

Step-by-step explanation:

I will just change

[tex]x=\pm n\pi, n \in \mathbb{Z}_{\ge 0}[/tex]

For

[tex]\theta = \pi n, n\in\mathbb{Z}[/tex]

Also, note that sine and cosine function don't have asymptotes.

The vertical asymptotes of cosecant occur every [tex]\pi n, n\in\mathbb{Z}[/tex]

It happens because the cosecant function is undefined for those values.

The cotangent function has asymptotes located at every integer multiple of [tex]\pi[/tex].

On the other hand, the vertical asymptotes of tangent function occur at:  

[tex]$\theta=\frac{\pi}{2} +n \pi, n \in \mathbb{Z}$[/tex]

It happens because the tangent function is undefined for those values.

Answer:

It's y = csc x and y = cot x.

Step-by-step explanation:

Answer: (2+v) =3; v =10 pounds of chopped vegetables.

Step-by-step explanation:

the answer is:

a. one-fourth (2 + v) = 3; v = 10 pounds of chopped vegetables

Answer:

Step-by-step explanation:

"Which ordered pair" implies that there were several answer choices for this problem.  It's important that you share such answer choices.

2x+4y=6x−y reduces to 5y = 8x, and so y = (8/5)x

If we choose x = 2, then y = (8/5)(2) = 16/5 is a solution of the given equation.  There are an infinite number of such solutions.  All lie on the line y = (8/5)x.

Answer:

9 hours

11 hours

19 hours

9 hours, 11 hours, and 19 hours.

We can see that the given graph has both a climb and a fall.

The descending section of the graph shows a decline in battery life, and the rising part shows an increase in battery life.

The battery life increases while it is being charged.

Then, the increasing or steady component of the hours refers to the period of time Rory's phone might have been plugged into the charger.

Therefore, the times that this occurs are 9 hours, 11 hours, and 19 hours based on the selections provided.

Know more about mobile phones here:

https://brainly.com/question/917245

#SPJ2

Answer:

B) 30

Step-by-step explanation:

Since ABCD is a parallelogram the diagonals bisect each others in their midpoint.

Wich means that BE = ED

● BE = ED

● (2/3)x = x-10

Substract x from both sides

● (2/3)x -x = x-10 - x

● (2/3) x - x = -10

Multiply x by 3 then ubstracr it from 2x

● (2x-3x)/3 = -10

● -x/3 = -10

Multiply both sides by -3

● (-x/3)×(-3) = -10 ×(-3)

● x = 30

Answer:

1 point should be located before 4 points below C.

1 point should be located before 4 points above B.

1 point should be located at point A.

Answer:2-4=

Step-by-step explanation:y-16-(-42)

y-16+16

y-32

y-16-(-22)

y-16+4

y-20

y-16-(02)

y-16

y-16-(42)

y-0

Answer:

The answer is 2-4

Step-by-step explanation:

Oh my god im so sorry i didnt mean to copy and paste my question here

Answer:

19.5

Step-by-step explanation:

The Volume of a cone is h/3(r²)[tex]\pi[/tex]

That means, for the larger cone,

66=h/3(3²)([tex]\pi[/tex])

66=h/3*9[tex]\pi[/tex]

66/9[tex]\pi[/tex]*3=h

h=7, so the height of the larger cone is seven

Since the cones are similar, it has to have the same ratio. 7/3 of 2 is 4.6666.  So the height of the smaller cone is 4.66666.

Putting that in the formula,

V=(4.66666/3)(2²)[tex]\pi[/tex]

V=1.555555*4*[tex]\pi[/tex]

V=19.547

Answer:

19.6

Step-by-step explanation:

I have acellus too, and honestly, I typed in 19.5, which didn't work, so I typed in 19.6 and it worked. Hope this helps!

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Vertex:  

(2,−2)

Focus:  

(2,−74)

Axis of Symmetry:  

x=2

Step-by-step explanation:

Given,

RSTU is a parallelogram,

so, we need to find the value of x,

let's find it,

2x+15 = x+15 (opposite side of parallelogram are equal and parallel)

2x - x = 15-15

x=0

Therefore, the value of x is 0.

If you have doubt. then let's clear it by putting the value of x.

so, 2×0+15 = 0+15

15=15 {as already said that the sides are equal}

proved..

so, the value of x is 0.

Hope it helps.....

Answer:

x=0

Step-by-step explanation:

Assuming the two sides are equal length

2x+15 =x+15

Subtract 15 from each side

2x =x

Subtract x from each side

2x-x = x-x

x=0

Answer:

5:

x = 9  y = 34

x = 2  y = 6

x = -6  y = -26

x = 3  y = 10

x = 4  y = 14

6.

x = 8  y = 19

x = 5  y = 35

x = -2  y = -21

x = 1  y = 3

x = 4  y = 27

1.

x = 2  y = -5

x = 5  y = -2

x = -1  y = -8

x = 7  y = 0

x = 3  y = -4

2.

x = 8  y = 5

x = 2  y = -1

x = -2  y = -5

x = 9  y = 6

x = 1  y = -2

3.

x = 3  y = -1

x = 6  y = 2

x = -7  y = -11

x = 4  y = 0

x = 2  y = -2

4.

x = 6  y = 39

x = 5  y = 32

x = -9  y = -60

x = 1  y = 4

x = 2  y = 11

5.              6.             1.            2.         3.          4.

x  | y      |       x | y        x | y       x | y      x | y      x | y

9 | 11      |       3 | 19      2 | -5     8 | 5     3 | -1     6 | 39

2 | 6      |       5 | 35     5 | -2     2 | -1     6 | 2     5 | 32

-6| -26  |      -2 | -21    -1 | -8     -2 | -5   -7 | -11  -9 | -66

3 | 10    |        1  | 3       7 | 0       9 | 6     4 | 0      1 | 4

4 | 14    |        4 | 27     3 | -4       1 | -2    2 | -2    2 | 11

Hope this helps!

Answer:

1) 0.00001

2) 0.00012

3)0.0000851

Step-by-step explanation:

Move the decimal place the amount of times being the same as the amount of zeros. Move it to make the number smaller because you are dividing.

1) move the decimal point to the right 3 times (because there are 3 zeros in 1000)

Hope that helped!!! k

Woah woah, no need to panic! I’ve got this taken care of for you!

1. 0.01 divided by 1,000= 100,000.000

Change the divisor 0.01 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

100000 ÷ 1 = 100,000.000

and therefore:

1,000 ÷ 0.01 = 100,000.000

Both calculated to 3 decimal places.

2. 0.012 divided by 100= 8,333.333

Change the divisor 0.012 to a whole number by moving the decimal point 3 places to the right. Then move the decimal point in the dividend the same, 3 places to the right.

We then have the equations:

100000 ÷ 12 = 8,333.333

and therefore:

100 ÷ 0.012 = 8,333.333

Both calculated to 3 decimal places.

3. 0.000851 divided by 10= 11,750.881

Change the divisor 0.000851 to a whole number by moving the decimal point 6 places to the right. Then move the decimal point in the dividend the same, 6 places to the right.

We then have the equations:

10000000 ÷ 851 = 11,750.881

and therefore:

10 ÷ 0.000851 = 11,750.881

Both calculated to 3 decimal places.

I hope this helped! <3

- ʕ•ᴥ•ʔ

Answer:

the length of DB is 17 in

Step-by-step explanation:

Consider the sketch attached.

We will draw an imaginary line from point C to met line AB at point E.

A right-angled triangle will now be formed between points CBE.

The dimensions of the right-angled triangle will be:

CB = 10 in

CE= 8 in

EB = unknown

We will now proceed to find out the length of side EB using the Pythagoras' theorem.

[tex]EB =\sqrt{CB^2 -CE^2} \\EB =\sqrt{10^2 -8^2} \\EB = 6 in[/tex]

From the shape, we can find out that another right-angled triangle is made between points DAB.

The dimensions of the triangle are:

DA= 8in

AB = 9 in + 6 in = 15 in

DB = unknown.

We will now proceed to find out the length of side DB using the Pythagoras' theorem.

[tex]DB =\sqrt{AD^2 +AB^2} \\DB =\sqrt{8^2 +15^2} \\DB = 17 in[/tex]

Therefore, the length of DB is 17 in

Answer:

see below

Step-by-step explanation:

Video Game

20% off means you pay 80%

80 dollars * 80% =

80 * .80 = 64

Movie ticket

14 original price

Sale price = 11.40

14* p% = 11.40

Divide each side by 14

p% = 11.40/14

p% =81.4285714

You paid 81 3/7%

The discount is 100 -81 3/7%

18 4/7 % discount

Laptop

1000 original price

Sale price = 750

1000 * p% = 750

p% = 750/1000

p% =75%

You paid 75%

The discount is 100 -75%

25 % discount

Answer:

Below

Step-by-step explanation:

First item)

The original price of the video games is 80$ wich is 100%

This item has a 20% discount.

Let x be the value of the dicount in dollars.

● 80 => 100

● x => 20

● x =(80×20)/100 = 16$

So the amount of the discount is 16$.

● 80-16 = 64 $

So the amount that was paid is 64$

■■■■■■■■■■■■■■■■■■■■■■■■■■

Second item):

The price that was paid is 11.2$out of 14$ initially.

Let x be the percentage of 11.2

● 14$ => 100%

● 11.2$ => x

● x = (11.2×100)/14 = 80%

● 100-80 = 20%

So the percentage of discount was 20%

■■■■■■■■■■■■■■■■■■■■■■■■

Third item):

The laptop was boughr for 750$ out of 1000$ initially

No need to do calculations here.

Notice that: 750/1000 = 3/4 = 0.75 = 75%

● 1000-750 = 250

So 250 is the amount discounted wich is 25% of 1000$

Answer:

answer is b

Step-by-step explanation: i am sure of it

Answer:

D. 15

Step-by-step explanation:

Both equations need the same end result because this is a square:

3x - 15 = 45 - x =

3x - 3x = 45 - x - 3x

0 = 45 - 4x

4x = 60

4x/4 = 60/4 =

X = 15

Check:

3(15) - 15 = 45 - 15

45 - 15 = 45 - 15

30 = 30

Answer:

1.C (4,90) 2.C.Time

Step-by-step explanation:

the answer to number 1 is C because the x coordinate is 4 and the y coordinate is 90. The answer to 2 is c because the independent variable represents x, which is time in this case because it is labeled on the coordinate plane.

Answer:

10*h+3*2*10

Step-by-step explanation: