Please answer this fast in 2 minutes

Answer:

x≤2−√6 or 0<x≤2+√6

Answer:

<B = 47°

<C = 28°

b = AC = 28.0

Step-by-step explanation:

Given:

∆ABC

AB = c = 18

BC = a = 37

<A = 105°

Required:

Length of AC = b

measure of angle B and angle C

SOLUTION:

==>Use the sine rule, sin A/a = sinC/c to find the angle of C:

SinA = sin(105) = 0.9659

a = 37

sinC = ?

c = 18

0.9659/37 = sinC/18

Cross multiply

0.9659*18 = 37*sinC

17.3862 = 37*sinC

Divide both sides by 37

17.3862/37 = sinC

0.4699 = sinC

sinC = 0.4699

C = Sin-¹(0.4699)

C = 28.0° (nearest tenth)

==>Find angle B using sum of angles in a triangle:

Angle B = 180 - (105+28)

Angle B = 180 - 133

Angle B = 47°

==>Find length of b using sine rule, b/sinB = c/sinC:

SinC = sin(28) = 0.4695

SinB = sin(47) = 0.7314

c = 18

b = ?

b/0.7314 = 18/0.4695

Cross multiply

b*0.4695 = 18*0.7314

b*0.4695 = 13.1652

Divide both sides by 0.4695

b = 13.1652/0.4695

b = 28.0 (nearest tenth)

Answer:

y = 6

Step-by-step explanation:

You should always multiply by the easiest choice(which I see is multiplying the 7 and the 3 to get 21

7(9x + 3y = -18)

-3(8x + 7y = 10)

63x + 21y = -126

-24x -21y = -30

39x          = -156

and solve to get x = -4

then plug -4 into x any of the equations to get y = 6

( 8(-4) + 7y  = 10

  -32 + 7y  =  10

      7y = 42

        y = 6)

Answer:

The first equation should be multiplied by - 7 and the second equation by 3 .

Step-by-step explanation:

answer on edge

Answer:

a) x = 10

Step-by-step explanation:

En este romboide, el angulo A es igual a el angulo C, y el angulo ABC es igual a el angulo CDA.

Entonces, el angulo C es 7x.

En un triangulo, los angulos se suman para ser 180 degrados. En el triangulo BCE, hay un angulo recto.

7x + 2x + 90 = 180

7x + 2x = 90

9x = 90

x = 10

Espero que este te ayude!

Answer:

15

Step-by-step explanation:

4x=60

60 divided by 4 = 15

━━━━━━━☆☆━━━━━━━

▹ Answer

3x + 5

▹ Step-by-Step Explanation

8x - 2 - 5x + 7

= 3x - 2 + 7

= 3x + 5

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: For the equation to have one solution, use any number that does not contain 3x.

Step-by-step explanation:

8x - 2 - 5x + 7

Combine like terms

3x + 5

Answer:

AB ║ CD, reason If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel

Step-by-step explanation:

Statement,                                      Reason

Triangle ACD is isosceles,             Given

∠1 ≅ ∠3,                                           Given

∠3 ≅ ∠4,                                          Base angles of isosceles triangle

∠1 ≅ ∠4,                                           Substitution

∠1 and ∠4, are alt int. ∠s,                Definition

AB ║ CD,                                          Have congruent alternate interior angles

If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel

The two-column proof that shows that Segment AB║Segment CD is shown in the image attached below (See attachment).

Given the image showing an isosceles triangle, ΔACD.

The two-column proof that shows segment AB || Segment CD has been provided in the table shown in the image attached below.

We know already that:

ΔACD is isosceles

∠1 ≅ ∠3

∠3 and ∠4 base angles of the isosceles triangle, therefore, ∠3 ≅ ∠4.

By substitution, ∠1 ≅ ∠4

∠1 and ∠4 are alternate interior angles, therefore, based on the Converse of Alternate Interior Angles Theorem: AB║CD

The complete two-column proof is in the image attached below.

Learn more about Alternate Interior Angles Theorem on:

https://brainly.com/question/19486848

Answer: 168 hours

Step-by-step explanation:

There are 24 hours in a day.  Thus, simply multiply 7*24 to get 168.

Hi there! Hopefully this helps!

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Answer: There are 168 hours in 7 days.

Since there 24 hours in a day, Multiply 24 times 7 and you get 168.

Example : 24 x 7 = 168.

Answer:

Step-by-step explanation:

f-  -3u=21 divide each side by (-3)

-3u/-3=-21/3

u=-7

g) 23+a=12  use subtraction method , subtract 23 from both sides

23-23+a=12-23

a=-11

h) -9+b=15  use additional method, add 9 to both sides

-9+9+b=15+9

b=26

Answer:

The domain is -418 < a < 8848 where a is an integer.

Step-by-step explanation:

We see from the data given that the  domain of T(a) takes both positive and negative integer values ( 8848 meters and  -418 meters); T(a) never gets decimal values (and in real life thy won't be of much use because we are not looking for that much accuracy).

So the appropriate number type for the domain of T(a) would be integers. And if you are interested, the domain is -418 < a < 8848.

Answer:

B

Step-by-step explanation:

Since the diagonals of a rhombus bisect each other, that means P is the midpoint of LN. Therefore, LP = 1/2 * LN = 1/2 * 30 = 15.

Answer:

B.No. The input is not possible.

Step-by-step explanation:

According to the given scenario, as we know that f(x) indicates that the baskets number and x the number of players at the practice.

Therefore, if we are having the point (12, 36) we can conclude that during practice there were 36 baskets and 12 players.

Hence, it does not make any sense which results that input is not possible

Answer:

given,

base= 10

height= 8

now, area of triangle =

[tex] \frac{1}{2} \times b \times h[/tex]

or, area =

[tex] \frac{1}{2} \times 10 \times 8[/tex]

therefore the area of a triangle is 40 sq units.

hope its helpful..

Answer:

A, 40 sq.units

Step-by-step explanation:

Area of Triangle:   1/2·b·h

Substitute:  h= 8, b= 10

                  A = 1/2 (10)(8)

Simplify:   A = 1/2(80) = 40

Area= 40 sq. units

Answer:

x = 6/5

y = 8/5

Step-by-step explanation:

3x - y = 2

2x + y = 4

Add the equations, cancelling y.

5x = 6

x = 6/5

Put x as 6/5 in the second equation and solve for y.

2(6/5) + y = 4

12/5 + y = 4

y = 4 - 12/5

y = 8/5

Answer:

1st Option

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Step 1: Find the missing leg

2² + b² = 6²

b² = 36 - 4

b = √32

Step 2: Find cosA

cosA = √32/6

cosA = 4√2/6

cosA = 2√2/3

Answer:

A 5% raise can be written as 1.05 so the new salary is 25100 * 1.05 = $26355.

Answer:

The answer is option D

Step-by-step explanation:

Circumference of a circle is πd

where d is the diameter

From the question

d = 6½ feet = 13/2 feet

Circumference is

π × 13/2

= 22/7 × 13/2

= 143/7

[tex] = 20 \frac{3}{7} [/tex]

Hope this helps you

Answer:

d

Step-by-step explanation:

/its wat he sed

Answer:

The answer is 2 root 10.

hope it helps..

Answer:

x = ±2[tex]\sqrt{10}[/tex].

Step-by-step explanation:

40 - x^2 = 0

Subtract 40 from both sides

-x^2 = -40

Divide both sides by -1

x^2 = 40

Find the square root of both sides

x = ±[tex]\sqrt{40}[/tex]

x = ±[tex]\sqrt{2 * 2 * 2 * 5}[/tex]

x = ±[tex]\sqrt{2^2 * 2 * 5}[/tex]

x = ±2[tex]\sqrt{2 * 5}[/tex]

x = ±2[tex]\sqrt{10}[/tex]

Hope this helps!

Answer:

[tex]B.\ x^3 - 2x^2 - 4x + 1[/tex]

Step-by-step explanation:

Given

Polynomials A to D

Divisor: x - 2

Required

Which of polynomial A - D has a remainder of -7

We start by equating the divisor to 0

[tex]x - 2 = 0[/tex]

Make x the subject of formula

[tex]x = 2[/tex]

Next is to substitute 2 for x in the polynomials to get the remainder;

[tex]A.\ 4x^3 + 2x^2 + 5[/tex]

[tex]4(2)^3 + 2(2)^2 + 5[/tex]

Open Brackets

[tex]4 * 8 + 2 * 4 + 5[/tex]

[tex]32 + 8 + 5[/tex]

[tex]Remainder = 45[/tex]

[tex]B.\ x^3 - 2x^2 - 4x + 1[/tex]

[tex](2)^3 - 2(2)^2 - 4(2) + 1[/tex]

Open Brackets

[tex]8 - 2 * 4 - 4 * 2 + 1[/tex]

[tex]8 - 8 - 8 + 1[/tex]

[tex]Remainder = -7[/tex]

[tex]C.\ 3x^2 + 6x - 2[/tex]

[tex]3(2)^2 + 6(2) - 2[/tex]

Open Brackets

[tex]3 * 4 + 6 * 2 - 2[/tex]

[tex]12 + 12 - 2[/tex]

[tex]Remainder = -2[/tex]

[tex]D.\ -2x^3 + 4x^2 + 3x - 2[/tex]

[tex]-2(2)^3 + 4(2)^2 + 3(2) - 2[/tex]

Open Brackets

[tex]-2 * 8 + 4 * 4 + 3 * 2 - 2[/tex]

[tex]-16 + 16 + 6 - 2[/tex]

[tex]Remainder = 4[/tex]

From the calculations above, the polynomial with a remainder of -7 when divided by [tex]x - 2[/tex] is [tex]B.\ x^3 - 2x^2 - 4x + 1[/tex]

The value of the polynomial [tex]x^3-2x^2-4x+1[/tex] is -7 at x = 2. So, option B is correct.

Important information:

According to the Remainder Theorem, if a polynomial is p(x) is divided by (x-c), then the remainder is p(c).

If polynomials have a remainder of -7 when divided by x – 2. So, the value of the polynomial must be -7 at x = 2.

Substitute x = 2 in the first polynomial.

[tex]4(2)^3+2(2)^2+5=45\neq -7[/tex]

Substitute x = 2 in the second polynomial.

[tex](2)^3-2(2)^2-4(2)+1=-7[/tex]

Substitute x = 2 in the third polynomial.

[tex]3(2)^2+6(2)-2=22\neq -7[/tex]

Substitute x = 2 in the fourth polynomial.

[tex]-2(2)^3+4(2)^2+3(2)-2=4\neq -7[/tex]

Only the value of the second polynomial is -7 at x = 2. Therefore, the correct option is B.

Find out more about 'Remainder Theorem' here:

https://brainly.com/question/4515216

Answer:

None of the listed

Step-by-step explanation:

[tex]Solve-for ;x -in\\ 2x+2y =18\\x = 9-y\\Substitute , 9-y -for ,x- in -2x-2y=-6\\-2(9-y)-2y =-6\\18+2y-2y=-6\\18 = -6\\The -statement- is -false \\Answer ; No -Solution[/tex]

Answer:

13

Step-by-step explanation:

There are 6 ways to choose the first number and 5 ways to choose the second number to paint so the total number of ways is 6 * 5 = 30 but we are over counting by a factor of 2 since 1 and 6 is the same as 6 and 1 so it's 30/2 = 15, not 30. The only choices that have a product of 6 are 2 and 3 or 1 and 6 so the answer is 15 - 2 = 13.

Answer:

13 ways

Step-by-step explanation:

Total number of distinct ways to pair two faces

= C(6,2) = 6! / (2!4!) = 15

Total number of ways to pair two faces so that the product equals six

=cardinality {1*6, 2*3} = 2

Therefore

number of ways to paint two faces such that the product is not six

= 15 - 2

=13

Answer:

Domain: (−∞,∞)

Range: (−∞,∞)

Step-by-step explanation:

trust me

Answer:

Step-by-step explanation:

[tex]sin \: 54 = \frac{opposite \: side}{hypotenuse} [/tex]

[tex]sin \: 54 = \frac{h}{10} [/tex]

[tex]0.8090 = \frac{h}{10} [/tex]

[tex]h = 10 \times 0.8090[/tex]

[tex]h = 8.09[/tex]

[tex]h = 8.1[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

h = 8.1 m

Step-by-step explanation:

Sin 54 = [tex]\frac{opposite }{hypotenuse}[/tex]

Where opposite = h, hypotenuse = 10 m

0.809 * 10 = h

=> h = 8.1 m

Tenemos que sean x e y los lados de la huerta entonces el perímetro sería:

P = 2*x + 2*y

Sabemos que el perimetro es 140, reemplazando:

140 = 2*x + 2*y

x + y = 70

despejamos y, nos queda:

y = 70 - x

Ahora tenemos que el área sería:

A = x*y

reemplazamos y:

A = x*(70 - x)

A = 70*x - x^2

Esta sería la ecuación que modela el área de la huerta.

Derivamos e igualamos a 0:

0 = 70 - 2*x

x = 70/2

x = 35

ahora calculamos y:

y = 70 - 35

y = 35

El área máxima sería:

A = 35*35

A = 1225 m^2

Answer:

y - 1 = (3/5)x

Step-by-step explanation:

First find the slope of this line.  As we move from (0, -2) to (5, 1), x (the 'run') increases by 5 and y (the 'rise') increases by 3.  Thus, the slope of this line is m = rise / run = 3/5.

Using the point-slope formula for the equation of a straight line:

y - 1 = (3/5)(x - 5), or

y - 1 = (3/5)x                This can also be written as 5y - 5 = 3x, or

y = (3/5)x + 1

The correct answer is $307.5

Explanation:

The total of the bond after 20 years is $150 plus the interests during this time (105% of $150). This last value can be calculated by multiplying the percentage (105) by the total ($150) and dividing it into 100% (total percent represented by $150. The process is shown below:

[tex]150 = 100[/tex]%

[tex]x = 105[/tex]%

[tex]x = \frac{150 x 105}{100}[/tex]

[tex]x = 157.5[/tex]

This means the total money in interest is $157.5 and this added to $150 is equivalent to $307.5

Answer: D.) Cultural knowledge

Step-by-step explanation:

Answer:

solution,

Sum of exterior angles=360°

[tex]3x + 2x + 40 + 4x + x + 50 = 360 \\ or \: 3x + 2x + 4x + x + 40 + 50 = 360 \\ or \: 10x + 90 = 360 \\ or \: 10x = 360 - 90 \\ or \: 10x = 270 \\ or \: x = \frac{270}{10} \\ x = 27[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

see explanation

Step-by-step explanation:

The statements tells us that w is inversely proportional to v and the equation relating them is

v = [tex]\frac{k}{w}[/tex] ← k is the constant of proportion

To find k use the condition v = 9, w = 5, that is

9 = [tex]\frac{k}{5}[/tex] ( multiply both sides by 5 )

45 = k

v = [tex]\frac{45}{w}[/tex] ← equation of proportion

When w = 4 , then

v = [tex]\frac{45}{4}[/tex] = 11.25

Answer:

A =  0    -7                             b=   0     -7

      3     2d                                   3      2d    

Let's calculate A and B:

Calculte (AB)^(-1):

Calculte B^(-1) and A^(-1):

so:

(AB)^(-1) = B^(-1) * A^(-1)