Please answer this now with correct answer

Answer:

-11 and -10

Step-by-step explanation:

● -√120 = -1 × √120

● -√120 = -1 × 2√30

● 30 is close to 25 so √30 is close to five but greater than it.

Multiplying 5 by -2 gives -10

Multipluing √30 by -2 gives you a number that is close to -10 but smaller than it.

So -√120 lies between -11 and -10

Answer:

a = 2, b = 3

Step-by-step explanation:

The diagonals of a rectangle bisect each other, thus

5a² = 4a² + 4 ( subtract 4a² from both sides )

a² = 4 ( take the square root of both sides )

a = [tex]\sqrt{4}[/tex] = 2

Also

6b - 8 = 4b - 2 ( subtract 4b from both sides )

2b - 8 = - 2 ( add 8 to both sides )

2b = 6 ( divide both sides by 2 )

b = 3

Answer:

117.79

Step-by-step explanation:

[tex] x^3+x^2+2x+2[/tex]

$x^2(x+1)+2(x+1)=(x^2+2)(x+1)$

Answer:

Step-by-step explanation:

x³ + x² + 2x + 2 = x²(x + 1) + 2(x+1)

                        = (x + 1) (x² + 2)

Answer:

The balance on the loan f(p) = $100 - $20 × p

Step-by-step explanation:

The parameters of the question are;

The loan amount = $100

The amount of monthly payment for the loan = $20

The function rule for the balance of the function f(p) where p is the number of payments is given as follows;

The balance on the loan, f(p) = The loan amount less the total amount paid

The total amount payment Jeania has made = Amount of monthly payment × Number of months paid, p

The total amount payment Jeania has made = $20 × p

∴ The balance on the loan, f(p) = $100 - $20 × p

Which gives;

f(p) = $100 - $20 × p.

Answer:

[tex]\bold{sin(38^\circ)=cos(52^\circ)}[/tex]

Step-by-step explanation:

Given that [tex]\triangle KJL[/tex] is a right angled triangle.

[tex]\angle JKL = 52^\circ\\\angle KLJ = 38^\circ[/tex]

and

[tex]\angle KJL = 90^\circ[/tex]

Kindly refer to the attached image of [tex]\triangle KJL[/tex] in which all the given angles are shown.

To find:

sin(38°) = ?

a) cos(38°)

b) cos(52°)

c) tan(38°)

d) tan(52°)

Solution:

Let us use the trigonometric identities in the given [tex]\triangle KJL[/tex].

We have to find the value of sin(38°).

We know that sine trigonometric identity is given as:

[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]sin(\angle JLK) = \dfrac{JK}{KL}\\OR\\sin(38^\circ) = \dfrac{JK}{KL}[/tex]....... (1)

Now, let us find out the values of trigonometric functions given in options one by one:

[tex]cos\theta =\dfrac{Base}{Hypotenuse}[/tex]

[tex]cos(\angle JLK) = \dfrac{JL}{KL}\\OR\\cos(38^\circ) = \dfrac{JL}{KL}[/tex]....... (2)

By (1) and (2):

sin(38°) [tex]\neq[/tex] cos(38°).

[tex]cos(\angle JKL) = \dfrac{JK}{KL}\\OR\\cos(52^\circ) = \dfrac{JK}{KL}[/tex] ...... (3)

Comparing equations (1) and (3):

we get the both are same.

[tex]\therefore \bold{sin(38^\circ)=cos(52^\circ)}[/tex]

Answer:

B in EDG

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

9(p-4)=-18

First expand the terms in the bracket

that's

9p - 36 = - 18

Group like terms

Send the constants to the right side of the equation

That's

9p = - 18 + 36

9p = 18

Divide both sides by 9

That's

9p/9 = 18/9

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

[tex] \mathsf{9(p - 4) = - 18}[/tex]

Distribute 9 through the parentheses

[tex] \mathsf{9p - 36 = - 18}[/tex]

Move constant to R.H.S and change it's sign

[tex] \mathsf{9p = - 18 + 36}[/tex]

Calculate

[tex] \mathsf{9p = 18}[/tex]

Divide both sides of the equation by 9

[tex] \mathsf{ \frac{9p}{9} = \frac{18}{9} }[/tex]

Calculate

[tex] \mathsf{p = 2}[/tex]

[tex] \mathcal{Hope \: I \: helped}[/tex]

[tex] \mathcal{Best \: regards}[/tex]

Answer:

Step-by-step explanation:

Since < RQS = < QLK and < RQS = x

< QLK is also x

< QLK and < KLM lie on a straight line

Angles on a straight line add up to 180°

To find x add < QLK and < KLM and equate them to 180°

That's

< QLK + < KLM = 180°

x + x - 36 = 180

2x = 180 - 36

2x = 144

Divide both sides by 2

We have the final answer as

Hope this helps you

Answer:

2y+6x=180

Step-by-step explanation:

Because we know that side lengths BD, DC, and AD are all congruent, we can conclude that triangles BDA and CDA are congruent because they have at least two congruent sides. Since these triangles are both 45-45-90 triangles, angle C is equal to 45 degrees, or 3x. 45/3 is 15, so x=15. Angle B is equal to 45 degrees, or y, so y=45.

From there, we plug these numbers into the equation with 2(45) + 6(15), or 90+90 = 180.

Answer:

£22.40

Step-by-step explanation:

60% of 12 is 7.2 (you can also write it as 7.20) so you times that by 2 to get 14.4 (you can also write it as 14.40) and [tex]\frac{1}{3}[/tex] of 24 is 8, so you add that to the 14.4 and you get 22.4 (also writen as 22.4) hope this helps!

Answer:

42 = 8x + 13x

42 = 21x

x = 2

8 = 8c -4(c + 8)

8 = 8c - 4c - 32

8 = 4c - 32

40 = 4c

c = 10

Answer:

42 = 21x

42/21 = x

x = 2

check:

42 = 8*2 + 13*2

42 = 16 + 26

8 = 8c -4*c -4*8

8 = 8c - 4c - 32

8 + 32 = 4c

40 = 4c

40/4 = c

c = 10

Check:

8 = 8*10 - 4(10+8)

8 = 80 - 4*18

8 = 80 - 72

Answer: You are correct, it is the second option.

Step-by-step explanation:

Volume of a cylinder formula is: pi*r^2*h. The diameter is 6 and the radius is half the diameter so we get r=3. The height is 10 inches, so h=10. pi(3)^2(10) is the volume of the vase.

Volume of a sphere (marbles) formula is: 4/3*pi*r^3

The marbles have a diameter of 3 so 3/2=1.5. r=1.5.

The volume of the marbles is 8(4/3*pi*1.5^3).

Then you subtract the volume of the marbles from the volume of the vase to find the volume of the water in the vase.

pi(3)^2(10) - 8(4/3pi(1.5)^3)

Hope this helps. :)

Answer:

You are absolutely correct, second option is the correct answer.

Step-by-step explanation:

Diameter of vase = 6 inches

Therefore, radius r = 3 inches

Diameter of marbles = 3 inches

Radius of marbles = 1. 5 inches

Height of water h = 10 inches

Volume of water in the vase = Volume of vase - 8 times the volume of one marble

[tex] = \pi r^2h - 8\times \frac{4}{3} \pi r^3 \\\\

= \pi (3\: in) ^2(10\: in) - 8( \frac{4}{3} \pi (1.5\: in) ^3) \\\\[/tex]

Answer:

[tex]x^2 +4x +3 [/tex]

Step-by-step explanation:

f(x)=x²-1

g(x)= x+2

f(g(x)) =f(x+2)

=(x+2)²-1

=x²+4x+4-1

=x²+4x+3

Answer:

60

Step-by-step explanation:

nPr=n!/(n-r)!

5!/(5-3)!

(5*4*3*2*1)/(2*1)

120/2

60

Answer:

60

Step-by-step explanation:

A permutation is a rearrangement of its elements in any sequence or linear order.

We are asked to rearrange the word BEACH into three letter permutations.

We find that each letter represents the first letter 5 x 3 = 15

Then distributes 5 places, so that 15 x 5 = 60

Answer: 1 U.S.dollar  = 0.85 euro.

1 euro = 1.18 dollars.

Step-by-step explanation:

The given equation: [tex]E=\dfrac{17}{20}D[/tex]

, where 'E' is the amount of euros that has the same value as 'D' U.S. Dollars.

At D= 1,

[tex]E=\dfrac{17}{20}=0.85\text{ euro}[/tex]

i.e. 1 U.S.dollar  = 0.85 euro.

At E= 1 , we have

[tex]1=\dfrac{17}{20}D\\\\\Rightarrow\ D= 20/17\approx1.18\text{ dollars}[/tex]

Hence, 1 euro = 1.18 dollars.

Answer:

(x - 5)(x - 5)

Step-by-step explanation:

[tex] {x}^{2} - 10x + 25 \: is \: the \: expansion \\ of \: {(x - 5)}^{2} \\ {(x - 5)}^{2} = (x - 5)(x - 5)[/tex]

The complete factorization of the quadratic expression x² - 10x + 25 is (x - 5)(x - 5). Hence the first option is the right choice.

A quadratic expression of the form ax² + bx + c is factored by using the mid-term factorization method, which suggests that b should be broken in such two components that their product = ac. After this, we can factorize using the grouping method.

In the question, we are asked to factor the quadratic expression x² - 10x + 25 completely.

Comparing x² - 10x + 25 to ax² + bx + c, we get a = 1, b = -10, and c = 25.

To factor the expression we will use the mid-term factorization method, and try to break b in such two numbers whose product = ac.

Now, ac = 1 * 25 = 25. b = -10, which can be broken as -5, and -5.

Therefore, we can write the given expression as:

x² - 10x + 25

= x² - 5x - 5x + 25, mid-term factorization

= x(x - 5) -5(x - 5), grouping

= (x - 5)(x - 5), grouping.

Therefore, the complete factorization of the quadratic expression x² - 10x + 25 is (x - 5)(x - 5). Hence the first option is the right choice.

Learn more about mid-term factorization at

https://brainly.com/question/25829061

#SPJ2

Answer:

a. La ganancia es de $ 4,060,000.00

b. 31 vehículos

Step-by-step explanation:

(a) Los parámetros dados son;

El número de automóviles tipo sedán fabricados = 24

El número de camiones tipo SUV fabricados = 16

El número de camiones tipo VAN fabricados = 12

El número de camionetas pick-up fabricadas = 8

El número de autos deportivos fabricados = 2

La ganancia por la venta de autos tipo sedán = $ 185,000 - $ 140,000 = $ 40,000

La ganancia por la venta de camionetas tipo SUV = $ 320,000 - $ 250,000 = $ 70,000

La ganancia por la venta de camiones tipo VAN = $ 400,000 - $ 310,000 = $ 90,000

La ganancia por la venta de las camionetas pick-up = $ 285,000 - $ 210,000 = $ 75,000

La ganancia por la venta de los autos deportivos = $ 550,000 - $ 400,000 = $ 150,000

La ganancia = 24 * $ 40 000 + 16 * $ 70 000 + 12 * $ 90 000 + 8 * $ 75 000 + 2 * $ 150 000 = $ 4060 000

(b) Por lo que hay una tasa de producción constante, solo la mitad de los automóviles se producirán dentro del período de 12 horas

Por lo tanto, tu fabricado

12 autos sedán, 8 camionetas tipo SUV, 6 camionetas tipo VAN, 4 camionetas pick-up y 1 auto deportivo para hacer un total de 31 vehículos.

Answer:

I believe the answer is d

Step-by-step explanation:

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.

In this case, since [tex]\sqrt{81}[/tex] can be simplified to 9 and 9 can be written as a fraction (9/1) it is a rational number.

Step 1:

62cm - (25*2)=12cm

62-25=37cm

Length for both sides 25

Width=37cm=x

Answer:

It should be 490000.0005

Step-by-step explanation:

4.9*10^5+.0005

10^5=100000

4.9*100000=490000

490000+.0005=490000.0005

Answer:

Step-by-step explanation:

[tex]10^{-5}=\frac{1}{10^{5}}=\frac{1}{100,000}=0.00001\\\\[/tex]

4.9* 10^-5 +0.0005 = 4.9 * 0.00001  + 0.0005

                               = 0.000049 + 0.0005

                              =  0.000549

Answer:

The area inside the square and outside the circle is changing at a rate of 101.150 square meters per day.

Step-by-step explanation:

According to the statement of the problem, the circle is inside the square and the area inside the square but outside the circle, measured in square meters, is represented by the following formula. It is worth to notice that radius ([tex]r[/tex]) is less than side ([tex]l[/tex]), both measured in meters:

[tex]A_{T} = A_{\square} -A_{\circ}[/tex]

[tex]A_{T} = l^{2}-\pi\cdot r^{2}[/tex]

Now, the rate of change of the total area is calculated after deriving previous expression in time:

[tex]\frac{dA_{T}}{dt} = 2\cdot l\cdot \frac{dl}{dt} -2\pi\cdot r\cdot \frac{dr}{dt}[/tex]

Where [tex]\frac{dl}{dt}[/tex] and [tex]\frac{dr}{dt}[/tex] are the rates of change of side and radius, measured in meters per day.

Given that [tex]l = 20\,m[/tex], [tex]r = 3\,m[/tex], [tex]\frac{dl}{dt} = 3\,\frac{m}{day}[/tex] and [tex]\frac{dr}{dt} = 1\,\frac{m}{day}[/tex], the rate of change of the total area is:

[tex]\frac{dA_{T}}{dt} = 2\cdot (20\,m)\cdot \left(3\,\frac{m}{day} \right)-2\pi\cdot (3\,m)\cdot \left(1\,\frac{m}{day} \right)[/tex]

[tex]\frac{dA_{T}}{dt} \approx 101.150\,\frac{m^{2}}{day}[/tex]

The area inside the square and outside the circle is changing at a rate of 101.150 square meters per day.

Answer:

A=48.81

Step-by-step explanation:

it is a right angle triangle find the hypotenuse c using Pythagorean theorem:

c²=a²+b²

c²=8²+7²

c=√64+49

c=10.63

sin A =opp/hyp

sin A=8/10.63

A=  48.81

another way :

tan A=opp/adj

tan A=8/7

A=48.81

Answer:

ray df or ray fd because both of these letters are consecutive in both of the angles.  

Step-by-step explanation:

Answer:

Answer is Ray FD

Step-by-step explanation:

Given the following angles, what ray is the common side of ∠CFD and ∠DFE?

A. Ray FC

B. Ray FE

C. Ray FD

Answer:

Option a.

Step-by-step explanation:

In the given triangle angle A is a right angle so triangle ABC is a right angled triangle.

Opposite side of right angle is hypotenuse. So, CB is hypotenuse.

From figure it is clear that CA is shorter that segment BA.

All angles are congruent to itself. So angle C is congruent to itself.

We know that, if an altitude is drawn from the right angle vertex in a right angle triangle it divide the triangle in two right angle triangles, then given triangle is similar to both new triangles.

So, triangle ABC is similar to triangle DBA if segment AD is an altitude of triangle ABC.

Therefore, the correct option is a.

THIS IS THE COMPLETE QUESTION BELOW;

Rosemary walks each week for exercise. Let d represent the distance walked and h represent the number of hours spent walking.

Last week: walked 18 miles in 6 hours

This week: d = 2.5h

Which statement must be true?

A.This week, she walked a greater distance.

B. Last week, she walked a greater distance

C. This week, she walked at a faster pace.

D. Last week, she walked at a faster pace

Answer

OPTION B is correct

B)Last week, she walked a greater distance

Step-by-step explanation:

We were told Rosemary walks each week for exercise.

From the question,

✓d represented the distance walked

✓h represent the number of hours spent walking.

A)Last week: she walked 18 miles in 6 hours

Then, if she walks 18 miles in 6 hours, we can be expressed as (18miles/6hour)

= 3 miles per hour

B)This week: d = 2.5h

This implies that she she walked 2.5 miles per hour this week since the distance is expressed in miles and time in hours.

So we can conclude that last week she walked 3 miles per hour which is more greater than 2.5 miles per hour which she walks this week.

Therefore, OPTION B is correct, (Last week, she walked a greater distance)

Answer:

It's b

Step-by-step explanation:

Answer:

12t+7w=D

t+w=110

Step-by-step explanation:

12t= $12 made every tutor hour

7w= $7 made every waiter hour

D= total dollars made

t+w=110 is the tutor hour and the waiter hour adding together

Answer:

12t + 7y = x

      or

5t + 770 = x

Step-by-step explanation:

12t + 7y = x

t = number of hours he worked as a tutor

y = number of hours he worked as a waiter

x = the total amount of money he earned

t + y = 110

=> y = 110 - t

=> 12t + 7(110 - t) = x

=> 12t + 770 - 7t = x

=> 5t + 770 = x

Answer:

XN = 6

Step-by-step explanation:

Given XY is an angle bisector then the ratio of the sides is equal to the corresponding ratio of the base, that is

[tex]\frac{AX}{XN}[/tex] = [tex]\frac{AY}{YN}[/tex] , substitute values

[tex]\frac{18}{XN}[/tex] = [tex]\frac{12}{4}[/tex] ( cross- multiply )

12XN = 72 ( divide both sides by 12 )

XN = 6

Answer:

Width = 9

Step-by-step explanation:

According to the problem...

3x = length

x = width

2(3x + x) = 72

3x+x = 36

4x = 36

x = 9 = width

Hope that helped!!! k

Answer:

Felipe = 23 messages

Keisha = 31 messages

Manuel = 46 messages

Step-by-step explanation:

Keisha = K

Felipe = F

Manuel = M

=> There are a total of 100 messages.

=> K sent 8 +F => K = 8 + F

=> M sent 2 * F => M = 2F

=> F = F

=> 8 + F + 2F + F = 100

=> 8 + 4F = 100

=> 8 - 8 +4F = 100 -8

=> 4F = 92

=> 4F/4 = 92/4

=> F = 23

So, Felipe = 23 messages.

      Keisha = 8 + F = 8 + 23 = 31 messages.

      Manuel = 2F = 2* 23 = 46 messages.

46 + 31 + 23 = 77 + 23 = 100 messages.

So, the answer is correct.

Answer:

Answer choices A, B and C identifies the relevant information in the problem

Step-by-step explanation:

Sarah left the house at 12:15 pm

She spent $42.20 on two books for her children

She spent $5.67 on a toy for her dog

Sarah arrived home at 1:00 pm

How much did Sarah spent on each book?

If she spent $42.20 on two books for her children,

Then, it means she has two children and the book cost $21.10 each

Answer choices A, B and C identifies the relevant information in the problem

Answer:

its A all the other one dont make sence sorry if im wrong but i got it right on my test

Step-by-step explanation: