An item on sale costs 45% of the orginal price. The original price 89​

Step-by-step explanation:

sinA=p/h

sinA=12/15

A=sin-¹(4/5)=53.13=53°

<CAB=53°

The measure of ∠CAB is 53°.

The trigonometric function, which comprises the sine, cosine, tangent, cotangent, secant, and cosecant, is one of the six mathematical operations used to describe the side ratios of right triangles (csc).

As per the given data:

From the given diagram, we can clearly understand that the triangle is a right-angled triangle which is right-angled at C.

We have to find out the measure of ∠CAB.

The lengths of the sides BC and AB is also given in the diagram.

For finding out the measure of ∠CAB we can consider BC as the perpendicular and AB as the hypotenuse, and then we have to use the appropriate trigonometric ratio.

The length of the perpendicular BC = 12 units

The length of the hypotenuse AB = 15 units

For relating perpendicular and hypotenuse, we can use the sin trigonometric ratio.

sinθ = Perpendicular / Hypotenuse

sinθ = BC / AB

sinθ = 12 / 15

sinθ = 4 / 5

θ = 53°

The measure of ∠CAB is 53°.

Hence, The measure of ∠CAB is 53°.

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Answer:

-4x + 12

Step-by-step explanation:

2(x+6)-6x

2x + 12 - 6x

combine llike terms

2x - 6x = -4x

-4x + 12

Answer:

2(x+6)-6x=-4x+12

Step-by-step explanation:

So how I got that was I expanded 2(x+6): 2x+12 so I got 2x+12-6x

I simplified 2x+12-6x and I got -4x+12

Answer:

17n-35

Step-by-step explanation:

20n-55-3n-20=17n-35

Answer:

697.05$

Step-by-step explanation:

Mark as brainliest

Answer:

The answer would be S=4x+3y and E=5x+2y

Answer:

5√5

Step-by-step explanation:

Hypotenuse (h) = 15

perpendicular (p) = 10

base (b) = ?

We know by using Pythagoras theorem

b = √h² - p²

= √ 15² - 10²

= √ 125

= 5√5

Hope it will help :)

Answer:

≈11.2

Step-by-step explanation:

a²+b²=c²

10²+b²=15²

100+b=225

-100 on both sides

b= √125= 11.2

Answer:

5400= 150y + 350x

Step-by-step explanation:

Answer:

the answer is 2, 4, 8, 16.32

Answer:

Write

csc

4

x

as

1

sin

4

x

and

cot

4

x

as

cos

4

x

sin

4

x

⇒

csc

4

x

−

cot

4

x

=

1

sin

4

x

−

cos

4

x

sin

4

x

=

1

−

cos

4

x

sin

4

x

Now recall that

a

2

−

b

2

=

(

a

−

b

)

⋅

(

a

+

b

)

and use this fact with

a

2

being and

b

2

being

cos

4

x

so that

a

is 1 and b is

cos

2

x

So

csc

4

x

−

cot

4

x

=

1

−

cos

4

x

sin

4

x

=

(

1

−

cos

2

x

)

⋅

1

+

cos

2

x

sin

4

x

But

cos

2

x

+

sin

2

x

=

1

so that

1

−

cos

2

x

=

sin

2

x

so

csc

4

x

−

cot

4

x

=

sin

2

x

⋅

1

+

cos

2

x

sin

4

x

=

1

+

cos

2

x

sin

2

x

=

(

1

sin

2

x

)

+

(

cos

2

x

sin

2

x

)

=

c

s

x

2

x

+

cos

2

x

Step-by-step explanation:

Answer:

so cot^6 (x) =cot^4 (x) csc^2 (x)-cot^4 (x) then you just manipulate the right side cot^4(x)csc^2(x)-cot^4(x) =cot^6(x) which is true

Step-by-step explanation:

Answer:

serían 136 y sobran 2

Step-by-step explanation:

porque al ser una botella de 10 litro y 1362 los dividimos nos da la cantidad de 136 se puede hacer mentalmente

Answer:

Seventy five billion six hundred million

Step-by-step explanation:

2.8 million x 27,000

Answer:

$844496111

Step-by-step explanation:

Size, n = 9

Initial average = 65000

Average = total sum / size

Initial Sum = 9 * 65000

Initial sum = $585,000

New average = ((585,000 - 120,000 + 7,600,000,000)) / 9

New average =

$7600465000 / 9

= $844496111. 11

= $844496111

Answer:-1/2

Step-by-step explanation:2x + 2 = -3 Subtract 2 on both sides so the equation would then be 2x + -1. Then you put 2x over 1 as a fraction then u flip the fraction which would be called reciprocal then multiply -1 times 1/2x which equals -1/2 and as a decimal it would be - 0.5

Answer:

The standard deviation of the given data set

 σ =  2.135

Step-by-step explanation:

Step(i):-

Given numbers are 4 2 8 5 7

Mean of the numbers

 [tex]= \frac{4+2+8+5+7}{5}[/tex]

= 5.2

The mean of the numbers (μ) = 5.2

Step(ii):-

x        :    4         2       8        5         7

x-μ     :   -1.2   -3.2     2.8    -0.2     1.8

(x-μ)² :   1.44    10.24  7.84  0.04    3.24

The standard deviation of the given data

            σ = √Σ( x-μ)² / N

           σ  = [tex]\sqrt{ \frac{1.44+10.24+7.84+0.04+3.24}{5}}[/tex]

            σ =  2.135

Answer:

Step-by-step explanation:

Answer:

there is no picture so i cant answer this question

Answer:

24 + 10 = 34

Step-by-step explanation:

a. 24 + b. 10 = ?= c. 34

Answer:

36?

Step-by-step explanation:

Answer:

slope  =  0

Step-by-step explanation:

[tex]m=\frac{change in y}{change in x}[/tex]

[tex]m=\frac{4-4}{2-1}[/tex]

[tex]\frac{0}{1}[/tex]

Divide  0  by  1 .

m  =  0

good luck, hope this helps :)

Answer:

12

Step-by-step explanation:

triangle is half a square so 6*2 = square = 12

Answer:

2x^2 - 7x - 15

Step-by-step explanation:

Answer:

20 points

Step-by-step explanation:

We need to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.

Let x be the number of points.

ATQ,

[tex]\dfrac{x}{50}=\dfrac{40}{100}\\\\x=\dfrac{50\times 40}{100}\\\\x=20[/tex]

Hence, a student needs 20 points to get a score of 40%.

Answer:

5.375

Step-by-step explanation:

terminating

Answer:

-2

Step-by-step explanation:

4x=4-12

4x=-8

X=-2

And answer is - 2

Answer:

3.50378787879

Step-by-step explanation:

Answer:

Exact Form:

925

___

264

Decimal Form:

3.503

^^78

Mixed Number Form:

     133

3   ___

    264

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer:

b. Non-proportional

Step-by-step explanation:

A table of values that represents a proportional relationship will have the same ratio of every pair in the given table. That is, y/x will result in the same value all through for every given pair.

The table of values given does not show a proportional relationship, because the ratio of y to x of each given pair of values are different and unequal:

y/x = 3/1 ≠ 5/2 ≠ 7/3 ≠ 9/4

Therefore, it is non-proportional.

hope i help

Answer:

4 is the nearest whole number of 4.3

Answer:

D

Step-by-step explanation:

This is because if u subsitute x with 17, 17x5 is 85 and 85+95= 180

[tex]\color{plum}\tt\bold{(D) \: 17}[/tex]

Given :

▪︎Angle (5x)° and angle 95° are supplementary angles.

Which means :

[tex] = \tt5x + 95 = 180[/tex]

[tex] = \tt5x = 180 - 95[/tex]

[tex] = \tt5x = 85[/tex]

[tex] \hookrightarrow\tt \color{plum}x = 17[/tex]

Thus, the value of x = 17

Let us check whether or not we have found out the correct value of x by placing 17 in the place of x:

[tex] =\tt5 \times 17 + 95 = 180[/tex]

[tex] =\tt 85 + 95 = 180[/tex]

[tex] =\tt 180 = 180[/tex]

Since the sum of both angles is equivalent to 180[85+95=180], we can conclude that we have found out the correct value of x.

Therefore, the correct option is (D) 17

Answer:

y+9=3/4(x-8)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=3/4(x-8)

y+9=3/4(x-8)