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

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.

Answer:

40 : 200

Step-by-step explanation:

1/6 x 240 = 40

5/6 x 240 = 200

Step-by-step explanation:

hope it helps.

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

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 :)

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

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

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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Answer:

4 Lawns

Step-by-step explanation:

Tim need to mow four lawns.

145 - 65 = 80

80 / 20 = 4

Answer:

n= s/180 +2

Step-by-step explanation:

s=(n-2)180

/180

s/180=n-2

+2

s/180 +2 =n

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

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

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

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

Answer:

BDA

Step-by-step explanation:

Answer:

A). BDA

im doing the test rn

Step-by-step explanation:

Answer:

12,214.51 meters cubed.

Step-by-step explanation:

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]

Answer:

x=38 Larger number

y=20 Smaller number

Step-by-step explanation:

38+20=58

Answer: b. 60 movies

Step-by-step explanation:

60 * $5= $300

$300+$120= $420

$420/60= $7

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.

Answer:

B

Step-by-step explanation:

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)

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.

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.

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:

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Answer:

if I am correct the answer should be 2

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.

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

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