if sin(x)=0.5, then cos(90-x)=

Answer:

by phythagoras theorem

(c+b)^2=(8)^2+(6)^2

(b+c)^2=64+36

(b+c)^2=100

b+c=√100

b+c=10.

by phythagoras theorem

(8)^2=(a)^2+(b)^2

64-b^2=a^2. {1}

by phythagoras theorem

(6)^2=(a)^2+(c)^2

36-c^2=a^2. {2}

In equation 1 and 2,

64-b^2=36-c^2

64-36= -c^2+b^2

28= b^2-c^2

28=(b+c)(b-c)

28=10(b-c)

b-c=28/10

b-c=2.8.

b+c=10

b-c=2.8

subtract both equations

c=3.6

option A is correct.

The conic section as a collection of points(loci) on a plane can be defined in this way .

A conic section is a curve obtained by intersecting a cone with a plane. In Algebra , There are  four main types of conic sections:

circles, parabolas, ellipses and hyperbolas. Each of these conic sections has different characteristics and formulas that help us solve various types of problems.

A locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.

According to the question

There are 4 main types of Conic section :

circles, parabolas, ellipses and hyperbolas. Each of these conic sections has different characteristics and formulas

Loci for circle : The locus of a circle is defined as a set of points on a plane at the same distance from the center point.

Loci for parabola : A parabola is a locus of points that are equidistance form a focus and a directrix .

Loci for hyperbola: A hyperbola is the locus of points such that the absolute value of the difference between the distances from to and to is a constant.

Loci for ellipse: An ellipse is the locus of all those points in a plane such that the sum of their distances from two fixed points in the plane, is constant. The fixed points are known as the foci (singular focus), which are surrounded by the curve.

Hence, The conic section as a collection of points(loci) on a plane can be defined in this way .

To know more about conic section and loci  here:

https://brainly.com/question/10311514

#SPJ2

Answer:

1. 18.84 in

2. 56.52 cm

3. 4.71 ft

4. 25.12 m

5. 37.68 ft

6. 12.56 yd

7. 43.96 in

8. 28.26 cm

9. 7.85 m

Step-by-step explanation:

[tex]C=2\pi r[/tex]

Answer:

is -4=Y

Step-by-step explanation:

i had that problem

Answer:

m∠1 is 49° and m∠3 is 49°

Step-by-step explanation:

In the given figure

∵ There are 2 parallel lines

∵ A transversal cuts them

∴ ∠4 and ∠8 are corresponding angles

→ Corresponding angles are equal in measures

∴ m∠4 = m∠8

∵ m∠8 = 131°

∴ m∠4 = 131°

∵ ∠1 and ∠4 formed a pair of linear angle

∵ The sum of the measures of the linear angles is 180°

∴ m∠1 + m∠4 = 180°

→ Substitute ∠4 by 131°

∴ m∠1 + 131° = 180°

→ Subtract 131 from both sides

∵ m∠1 + 131 - 131 = 180 - 131

∴ m∠1 = 49°

∵ ∠1 and ∠3 are vertically opposite angles

∴ m∠1 = m∠3

∵ m∠1 = 49°

∴ m∠3 = 49°

Answer:x=-3

Step-by-step explanation:

Factor and set each factor equal to zero.

Answer:

2sqrt(7)/5

Step-by-step explanation:

sqrt(28/25)

sqrt(28)/sqrt(25)

2sqrt(7)/sqrt(25)

2sqrt(7)/5

Answer:

it goes:

the 2nd one goes first and the first one goes second, the one with pi goes last

Step-by-step explanation:

Answer:

The solution to the system of equations will be:

[tex]x=9,\:y=6[/tex]

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x-9y=-36\\ -14x+18y=-18\end{bmatrix}[/tex]

Multiply 2x-9y=-36 by 7

[tex]14x-63y=-252[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}14x-63y=-252\\ -14x+18y=-18\end{bmatrix}[/tex]

Adding both equations

[tex]-14x+18y=-18[/tex]

[tex]+[/tex]

[tex]\underline{14x-63y=-252}[/tex]

[tex]-45y=-270[/tex]

solve -45y = -270 for y

[tex]-45y=-270[/tex]

divide both sides by -45

[tex]\frac{-45y}{-45}=\frac{-270}{-45}[/tex]

Simplify

[tex]y=6[/tex]

For 14x-63y = -270 plug in y = 6

[tex]14x-63\cdot \:6=-252[/tex]

[tex]14x-378=-252[/tex]

Add 378 to both sides

[tex]14x-378+378=-252+378[/tex]

Simplify

[tex]14x=126[/tex]

Divide both sides by 14

[tex]\frac{14x}{14}=\frac{126}{14}[/tex]

Simplify

[tex]x=9[/tex]

Therefore, the solution to the system of equations will be:

[tex]x=9,\:y=6[/tex]

Answer:

$72 would be the retail price

Step-by-step explanation:

x = 1.43 is the solution to the equation 6 • e^x = 25, rounded to two decimal places

Answer:

1)145,096,704

Step-by-step explanation:

24*2=48

48/3=16

1.2214*2=4428

2.*2=8856

3.*2=17712

4.*2=35424

5.*2=70848

6.*2=141696

7.*2=283392

8.*2=566784

9.*2=1133568

10.*2=2267136

11.*2=4534272

12.*2=9068544

13.*2=18137088

14.*2=36274176

15.*2=72548352

16.*2=145096704

Answer:

The answer to the question is A

Answer:

80 pages

Step-by-step explanation:

Point slope Equation is :

y = mx + c

In the above question

y = 310 pages

x = number of days = 10 days

m= 23 pages per day

c = ?? Unknown

c = y - mx

c = 310 - 23 × 10

c = 310 - 230

c = 80 pages

She will still have 80 pages left to read after 10 days

Answer:

it is the first one I am sure of it

Answer:

first choice

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 10^2 = 15^2

a^2 + 100 = 225

       - 100    -100

a^2 = 125

square 125

a = 11.18

Answer:

a) 54π cm³

Step-by-step explanation:

area of circle=πr²

9π

π9*6=54π

Answer:

b

Step-by-step explanation:

Answer:

answer is 3

Step-by-step explanation:

8-5

4(2)=8

3+2=5

8-5=3

Answer:

46

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

OK 13-5=8 and that leaves 8k so k must be 2 because since their is no space they are being multiplied together and 8x2=16 :) hope this helps

plz give thanks

Answer:

i think 7 maybe?

Answer:

Quadrilateral, Square, and Rhombus

Step-by-step explanation:

Hope it helped!

Answer:

I think quadrilateral and rhombus.

Step-by-step explanation:

Answer:

the amount is duplicating every time from 1 to 2 from 8 to 16

Step-by-step explanation:

Answer:

it's being multiplied by 2 every time, so 1×2=2 and it just keeps going on. 2×2=4, 4×2=8 and so fourth

$.01×2=$.02

Answer:

Step-by-step explanation:

Since this is not factorable, let's just complete the square:

[tex]x^2+6x=19\\x^2+6x+9=28\\(x+3)^2=28\\x+3=\sqrt{28}\\x=2\sqrt{7}-3[/tex]

Answer:

3x

Step-by-step explanation:

The GCF would be 3x, if you took out 3x from those numbers you'd be left with x^2, 2x, and 5, which can't be reduced any further.

Answer:

144 calories

Step-by-step explanation:

12%(1200)=

0.12(1200)=144

Answer: 116

Step-by-step explanation: simply divide 8 into 928

Answer:

116 coke

Step-by-step explanation:

992/8

=116

Debby would be able to buy 116 cokes from the coke machine.

Answer:

40

Step-by-step explanation:

(2x+1/(2x))^5 *(2x -1/(2x))^5

= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2

= (4x^2-1/4(x)^2)^5

now

x =4x^2. ,a = 1/4(x)^2 ,n =5

we have

general term = Cr *x^r *a^(n-r)

= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)

= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)

= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)

= Cr * 4(2r-n) *x(4r-2n)

now for x^2

4r-2n = 2

4r -10=2

4r =12

r = 3

now for coeff

C(5,3) * 4^(2*3-5)

5!/(3!*(5-3)!) * 4

5*4/(2*1)*4

40