In the right triangle shown, m A = 30° and AB = 12V3.
х
B
30
123
A
How long is AC?

In The Right Triangle Shown, M A = 30 And AB = 12V3.B30123AHow Long Is AC?

Answers

Answer 1

Answer:

∴[tex]Cos A=\frac{AC}{AB}[/tex]

➛ [tex]Cos30=\frac{x}{12\sqrt{3} }[/tex]

➛ [tex]\frac{\sqrt{3} }{2} =\frac{x}{12\sqrt{3} }[/tex]

➛[tex]x=12\sqrt{3}*\frac{\sqrt{3} }{2}[/tex]

➛ [tex]x=18[/tex] ✓

➛[tex]AC=18[/tex] ✓

----------------------

hope it helps...

have a great day!!


Related Questions

The sum of two numbers is 58. The smaller number is 20 less than the larger number. What are the numbers?

Answers

38 I hope that helps

Answer:

x=38 Larger number

y=20 Smaller number

Step-by-step explanation:

38+20=58

Find the probability that a randomly
selected point within the circle falls
in the red shaded area (Square).
r = 4 cm
4√2 cm
[?]%
Round to the nearest tenth of a percent.
Enter

Answers

Answer:

63.7 I believe to be the answer

The required probability that a randomly selected point within the circle falls in the red shaded area (Square) is 63.6%.

A figure is shown, in which a square is inscribed in a circle. To find the probability that a randomly selected point within the circle falls in the red shaded area (Square).
radius  = 4 cm
side of square = 4√2 cm


What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.


Area of the circle = πr²
                              = 3.14 * 4²
                              = 50.24 cm²
Area of the square = side * side
                                =  4√2 * 4√2
                                = 32 cm²

Now the probability that a randomly selected point within the circle falls in the red shaded area (Square).
= Area of square / Area of the circle
= 32 / 50.24
= 0.636 or 63.6%

Thus, the required probability that a randomly selected point within the circle falls in the red shaded area (Square) is 63.6%.

Learn more about probability here:

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A rug like a rectangle has a width of 3 m . The length of the rug is 2 m greater than its widith . What is the perimeter of the rug in meters

Answers

Answer:

16m

Step-by-step explanation:

Given data

Width = 3m

Lenght = 2+3= 5m

We know that the expression for perimeter is

P= 2L+2W

Substitute

P= 2*5+ 2*3

P= 10+6

P= 16 m

Hence the perimeter is 16m

Violet buys a premium sound system that is on sale for 40% off the original price. The original price is $224 more than the sale price

Answers

Answer:

The original price was of $560, while the sales price was of 560 - 224 = $336.

Step-by-step explanation:

Original price:

x

Sales price:

224 less than the sales price, that is:

x - 224.

On sale fo 40% of the original price:

So the sales price is 100 - 40 = 60% = 0.6 of the original price. That means that:

[tex]x - 224 = 0.6x[/tex]

[tex]0.4x = 224[/tex]

[tex]x = \frac{224}{0.4}[/tex]

[tex]x = 560[/tex]

The original price was of $560, while the sales price was of 560 - 224 = $336.

Can someone help me with this pls, is super important

Answers

x = 50 degrees
y = 50 degrees

Explanation:

x + 130 = 180 (Angles between parallel lines)
x = 50

y = x = 50 (Corresponding angles)

El número de rebanadas de pizza que se comió cada persona en la fiesta de cumpleaños Elian son: 3,4,5,2,1,4,5,3,2,1,0,2,3,4,6. Media: Moda: Mediana:

Answers

Respuesta:

Modo = 2, 3, 4

Mediana = 3

Media = 3

Explicación paso a paso:

Dados los datos:

3,4,5,2,1,4,5,3,2,1,0,2,3,4,6

Datos pedidos: 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6

La media = ΣX / n = 45/15 = 3

Donde n = tamaño de la muestra = 15

Mediana = 1/2 * (n + 1) th término

Mediana = 1/2 (16) término

Mediana = octavo término

Mediana = 3

Modo = 2, 3, 4 (el más alto ocurre con una frecuencia de 3 cada uno)

Tim wants to buy a new sound system for $145. He has already saved $65. He gets $20 for each lawn that he mows.

Answers

Answer:

4 Lawns

Step-by-step explanation:

Tim need to mow four lawns.

145 - 65 = 80

80 / 20 = 4

20. A movie streaming website charges an initial fee of $120, plus $5 for each movie that is
streamed. How many movies must be streamed for the average cost per movie to fall to $7?
a. 10 movies
b. 60 movies
c. 25 movies
d. 120 movies

Answers

Answer: b. 60 movies

Step-by-step explanation:

60 * $5= $300

$300+$120= $420

$420/60= $7

Can someone isolate the variable “n” and show steps?

Answers

Answer:

n= s/180 +2

Step-by-step explanation:

s=(n-2)180

/180

s/180=n-2

+2

s/180 +2 =n

?????????????!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

The answer is B
Hope this helps

Divide 240 in the ratio 1 : 5

Answers

Answer:

40 : 200

Step-by-step explanation:

1/6 x 240 = 40

5/6 x 240 = 200

Sara buys 4 candles for $12.25 each.
If she has a coupon for 15% off, and
tax is 8.5%, what is her final bill?

Answers

Answer:

$44.98

Step-by-step explanation:

12.25 x 4 = 49

if her coupon is 15% off then she pays 85% of 49, which is 41.65

8% tax added to 41.65 is, 41.65 × .08 = 3.33

total cost is 41.65 + 3.33 = 44.98

What is the value of a for the following circle in general form?
x2 + y² + ax + by+c=0

Answers

The answer is -6 from my calculations


Factorise x^2+4x+3
Write your steps as well please

Answers

Step-by-step explanation:

x²+4+3x²+x+3x+3x(x+1)+3(x+1)(x+1)(x+3)

hope it helps.

stay safe healthy and happy...

Prove
Tan(x)+cot(x)=sec(x)/sin(x)

Answers

Answer:

Step-by-step explanation:

tanx + cotx = secx / sinx

take left hand side

=tanx + cotx

=sinx/cosx + cosx/sinx

=sinx*sinx+cosx*cosx/sinx*cosx

=sin^2x + cos^2x/sinx*cosx

=1/sinx*cosx

=1/cosx * 1/sinx

=secx/sinx

at second last step i changed multiplication sign into divide sign and write the reciprocal of 1/sinx which is sinx.

The sails of two boats are pictured below. What is the value of y?

Answers

Answer:

C 70

Step-by-step explanation:

since 2 sides are parallel to each other, so is then the third side, and their these are similar triangles. that means all angles of one triangle are the same in the other.

remember, the sum of all angles in a triangle is always 180 degrees.

so, we know 2 angles. one is 90 degrees, x is 20 degrees, therefore

y = 180 - 90 - 20 = 70

Which triangle has hypotenuse Side B D?

A cube. The top face has points G, B, C, F and the bottom face has points H, A, D, E.
triangle BDA
triangle BDF
triangle BDG
triangle BDH

Answers

Answer:

BDA

Step-by-step explanation:

Answer:

A). BDA

im doing the test rn

Step-by-step explanation:

Im really questioning my answer to this
(-5) × 7​

Answers

Answer:

-35

Step-by-step explanation:

-5 times 7 = -35

hope that helped :)

Answer:

- 35

Step-by-step explanation:

The product of a negative and a positive is negative, so

- 5 × 7 = - 35

The mean area µ of the several thousand apartments in a new development is advertised to be 1250 square feet. A tenant group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion. The appropriate null and alternative hypotheses, H0 and Ha, for this test are

Answers

Answer:

The appropriate null hypothesis is [tex]H_0: \mu = 1250[/tex]

The appropriate alternate hypothesis is [tex]H_a: \mu < 1250[/tex]

Step-by-step explanation:

At the null hypothesis, we test if the mean area is the advertised area of 1250 square feet, that is:

[tex]H_0: \mu = 1250[/tex]

A tenant group thinks that the apartments are smaller than advertised.

Smaller, thus, at the alternate hypothesis, we test if the mean area is less than the advertised area of 1250 square feet, that is:

[tex]H_a: \mu < 1250[/tex]

I need help y’all please

Answers

Answer:

12,214.51 meters cubed.

Step-by-step explanation:

HELPPP ME PLEASE IT’S A VERY IMPORTANT TESTTTTT

Answers

Answer:

B also have a great day today

Answer:

D, Between 5.4 and 6.5

Step-by-step explanation:

anything less than .5 gets rounded down and anything higher gets rounded up so it'll end up with 6

Solve for x . Enter the solutions from least to greatest. x^2 + 3x - 4 = 0

Answers

Answer:

x^2+(4-1)x-4=0

x^2+4x-x-4=0

x(x+4)-1(x+4)=0

(x-1)(x+4)=0

either (x-1)=0                                   Or,(x+4)=0

x-1=0

x=0+1

x=1

x+4=0

x=0-4

x=-4

therefore x=-4,1

Step-by-step explanation:

The required solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.

What are the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

To solve for x in the quadratic equation x² + 3x - 4 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation (ax² + bx + c = 0).

In this case, a = 1, b = 3, and c = -4, so we have:

x = (-3 ± √(3² - 4(1)(-4))) / 2(1)

x = (-3 ± √(25)) / 2

x = (-3 ± 5) / 2

x₁ = (-3 + 5) / 2 = 1

x₂ = (-3 - 5) / 2 = -4

Therefore, the solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.

Learn more about Factors here:

https://brainly.com/question/24182713

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The probability of saving a penalty kick from the opposing team is .617 for a soccer goalie. If 7 penalty kicks are shot at the goal, what is the probability

Answers

Answer:

0.2754

Step-by-step explanation:

Probability of saving a penalty kick = 0.617

p = 0.617 ; q = 1 - p = 1 - 0.617 = 0.383

number of trials, n = 7

Number of saves, x = 5

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 5) = 7C5 * 0.617^5 * 0.383^2

P(x = 5) = 21 * 0.0894181 * 0.146689

P(x = 5) = 0.2754

Lauren is given a 12% pay rise.Her new salary is £24,080. What was Lauren's salary before the pay rise?

Answers

Answer:

The base salary was £21,500.

Step-by-step explanation:

Giving the following information:

Increase rate (g)= 12%

New salary= £24,080

To calculate the base salary, we need to use the following formula:

Base salary= new salary / (1 + increase rate)

Base salary= 24,080 / (1.12)

Base salary= £21,500

The base salary was £21,500.

PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The answer is the 3rd choice

The table shows the number of cars sold per day at a dealership during a promotional sale.

What is the equation of the least-squares regression line, where Y hat is the predicted number of cars sold and x is the day? Round each coefficient or constant to the nearest tenth.

Answers

Answer:

We need the table

Step-by-step explanation:

Answer:

.1 ; 1.8x

y=1.8x + .1

==============

The next question, where it asks for "The table shows the number of kilograms a newborn pig weighs during its first week.

" is y=.18x + .96

[this is the next question and so fourth]

and for the one after this question with three options, it is:

21.12; 0.14; 35

then for the one after that one, it is:

64.6; -20.2; 28

then for the one after that one, it is:

(A) 5.2 + 2.2x scoring 1 point

then the one after that one, it is:

(D) 14.92 - 0.02x scoring 0 point

then the one after that one, it is:

r = .50

and last but least,

As budgets increased, the gross revenue increased; r = 0.62. (C)

==============

ED2021

here to fix statistics for you :)

8. Expo markers cost $4.99 per pack. There is a 20%
discount if 4 or more packs are purchased at Office
Depot. Sales tax is 7%. If Nicole bought 8 packs of
expos, about how much did she pay?

Answers

Answer:

34.17

Step-by-step explanation:

8 packs x 4.99/pack=39.92

39.92x.8(100-20% discount)=31.94

31.94 x 1.07% (includes 7% sales tax)=34.17

Can someone please help me

Answers

Answer:

if I am correct the answer should be 2

???????? HELLPLPPP ??????????

Answers

Answer:

I believe your equation is [tex]y=\frac{4}{5} x-2[/tex]

Step-by-step explanation:

Using the rise over run formula, you get the slope as 4/5. Then, you look for the y-intercept, which turned out to be -2.

what number is equal to 3 thousands+ 7 tens+ 5 ones

Answers

Answer:

3075

Step-by-step explanation:

There is 3 thousands so 3,000 no hundreds so 0 then 7 tens,70, then 5 one,5, so 3075

Answer:

3,075

Step-by-step explanation:

3 thousands = 3,000

0 hundreds = 0

7 tens = 70

5 ones = 5

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