Given that angle
a
= 40° and angle
b
= 15°, work out
x
.

The diagram is not drawn accurately.
(Triangle)

Answer:

(a + 3)

Step-by-step explanation:

a³ - 9a = a(a² - 9) = a(a + 3)(a - 3)

a² + a - 6 = (a - 2)(a + 3)

a⁴ + 27a = a(a³ + 27) = a(a - 3)(a² + 6a + 9) = a(a - 3)(a + 3)(a + 3)

HCF = (a + 3)

Hope it helps.

;)

<3

Answer:

D

Step-by-step explanation:

The one that goes through (-2,0), (-1,-1) and (0,0)

Answer:

11 meters

Step-by-step explanation:

Use the formula:

[tex]V = \pi r^{2} h[/tex]

V = 7599, h = 20, π = 3.14

Plugin the numbers and solve for r

[tex]7599=3.14(20)r^{2} \\7599=62.8r^{2} \\7599/62.5=62.8r^{2} /62.8\\121=r^{2} \\\sqrt{121}=\sqrt{r^{2} } \\r=11[/tex]

Florida has the highest population while Montana has the smallest population.

The statements that are true are;

The table in the question is presented as follows;

[tex]\rm Population \ density=\dfrac{Total \ population \ of \ the \ area}{Total \ area}[/tex]

By rounding down to the next whole number, we have

Population density of Florida is; 19,317,568 ÷ 53,927 mi² ≈ 358 per mi²

The population density of Hawaii is; 1,392,313 ÷ 6,423 mi² ≈ 216 per mi²

Population density of Montana is; 1,005,141 ÷ 145,552 mi² ≈ 6 per mi²

Population density of Oregon is; 3,899,353 ÷ 95,997 ≈ 40 per mi²

Therefore;

The population density for Montana can be found using the ratio of 1,005,141:145,552.

The population density of Florida (approximately 358 per mi.²) is greater than the population density of Hawaii (approximately 216 per mi²).

Montana is the state with the smallest population density with approximately 6 persons per square mile.

The true statements are;

The population density for Montana can be found using the ratio of 1,005,141:145,552.

The state with the smallest population density is Montana.

Learn more about population density here:

brainly.com/question/620528

Answer:

its a and e

Step-by-step explanation:

edge

Answer:

$0.39 per ounce of peanut butter

Step-by-step explanation:

per ounce is divided by 10

hope that helped!

Answer:

k=1.66666666667

3:5 or y+9-x=17

Step-by-step explanation:

idrk, this SHOULD be the correct answer

Answer:

3.6 hours

Step-by-step explanation:

[tex]D(h) = 25 {e}^{ - 0.4h} \\ \\ \implies \: 6 = 25 {e}^{ - 0.4h} \\ \\ \implies \: \frac{6}{25} = {e}^{ - 0.4h} \\ \\ \implies \: 0.24 = {e}^{ - 0.4h} \\ Taking\: natural\: log\:both\: sides \\ In(0.24) = - 0.4h \: In\: e \\ \\ \implies \: -1.42711635564 = - 0.4h\\(\because\:In\:e=1) \\ \\ \implies \: h= \frac{-1.42711635564}{ - 0.4} \\ \\ \implies \: h = 3.5677908891 \\ \\ \implies \: h = 3.6 \: hours[/tex]

7+3= 10

Let's take 1,400 is to be seperated between A and B

Amount of money A will get = 1400* 7/10= 980

Amount of money B will get = 1400* 3/10= 420

Checking the answer:

980+420 = 1,400

Hence, 1,400 will be shared by ratio 7:3 is 980 and 420.

Correct me, if I am wrong :)

Have a great day!

Thanks!

Answer:

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{1875}{125}\:\mathrm{is}\:15[/tex]

Step-by-step explanation:

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace1\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 125\overline{|\smallspace1875}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace1\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace6\emptyspace2\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace1\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\\ 125\overline{|\smallspace1875}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace1\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace6\emptyspace2\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace6\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

=[tex]15[/tex]

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{1875}{125}\:\mathrm{is}\:15[/tex]

Answer:

1, 3, 7, 21

Step by step explanation:

Answer:

1

3

7

21

^^Factors : )

Step-by-step explanation:

Answer:

D is not a function since there are 2 inputs or x value that are the same

Step-by-step explanation:

Factors of the given expression by splitting middle term of expression[tex]9x^2+42x+49[/tex] will be [tex](3x+7) and (3x+7)[/tex].

Given expression is

[tex]9x^2+42x+49[/tex]

A factor is a number that divides another number leaving no remainder

After we split 42x into 21x each,

The expression looks like,

[tex]9x^2+21x+21x+49[/tex]

[tex]3x(3x+7)+7(3x+7)\\[/tex]

Taking 3x+7 as common

[tex](3x+7) (3x+7)[/tex]

So factors will be (3x+7) and (3x+7).

Therefore,

Factors of the given expression [tex]9x^2+42x+49[/tex] will be [tex](3x+7) and (3x+7)[/tex].

to get more about factors refer to:

https://brainly.com/question/25829061

Answer:

C

Step-by-step explanation:

Replace the X and Y coordinates with the numbers and find the outcomes.

Good luck with the quiz!!!

Answer:

ONLY ALIYAH IS CORRECT

Step-by-step explanation:

JUST DID IT

Answer:

can u give the prices for the tickets?

An adult ticket costs $2 more than a child ticket

Let x and (x + $2)represent the cost of the child and adult ticket respectively

2(x+ $2) + 3x = $34

now solving for x

2x+ $4 + 3x = $34

5x = $30

 x = $6 , the cost of the child ticket.

the cost of adult ticket $6+2=$8

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{2}[/tex]

Step-by-step explanation:

We can solve this system using elimination.

In this case, we can eliminate y by subtracting both equations...

[tex]3x-2x-4y-(-4y)=10-6\\x-4y+4y=10-6\\x=4[/tex]

Then, substitute 4 for x to solve for y...

[tex]3x-4y=10\\3(4)-4y=10\\12-4y=10\\\text{Subtract 12 from both sides}\\-4y=-2\\\text{Divide both sides by -4}\\y=\frac{1}{2}[/tex]

Answer:

y=1/2

Step-by-step explanation:

3x-4y=10..............{1]

2x-4y=6................(2)

subtract equa(2) from equa(1)

x=4

substitute x=4 into equa(1)

3(4)-4y=10

12-4y=10

-4y=10-12

-4y=-2

y=1/2

Answer:

Qué es la pregunta

La opción correcta es el menor de todos es E. opción C

Veamos partes por partes lo que tenemos:

1. A es mayor que B: entonces se escribe A > B

2. C es menor que D: entonces se escribe C < D

3. E es menor que C: entonces se escribe E < C

4. B es mayor que D: entonces se escribe B > D

5. Unimos 1 y 2: A > B  > D

6. Unimos 5 y 2: A > B  > D > C

7. Unimos 6 y 3: A > B  > D > C > E

B es el menor de todos: falso, D, C, E son menores que B, D es el menor de todos falso, C y E son menores que D, E es el menor de todos verdadero, D es menor que C falso D es mayor que C.

Answer: 645

Step-by-step explanation: 645 rounded to the nearest 10 is 650. Anything below 645 doesn't round to 650. With the five in the ones place, 645 is the smallest possible number that can be rounded to 650.

Answer:

8:48

Step-by-step explanation:

Start with 6. You add 2 hours. Your hour is 8.

You have 30 minutes. Add 18 minutes. You have 30 plus 18 which equals 48. You put the hour which is 8 and the minutes which is 48.

Answer:

there is one answer

Step-by-step explanation:

4x⁵ = 10 →

[tex]x = \sqrt[5]{ \frac{10}{4} } = \sqrt[5]{2.5} [/tex]

Answer:

B. 54 square inches

Step-by-step explanation:

Surface Area

= 2(lb + bh + lh)

= 2(6 x 3 + 3 x 1 + 6 x 1)

= 2(18 + 3 + 6)

= 2(27)

= 54 square inches

The correct option is (B).

Answer:

12 lbs

Step-by-step explanation:

When finding a percentage you move the decimal point of the percentage to the left twice.

Find the amount that was donated,

60 x 0.2 = 12

So 12 lbs were donated

You can also do it this way:

First we find the amount that was sold,

60 x .80 = 48

Then subtract 48 from the total of 60 to find the left over,

60 - 48 = 12

Answer:

7. parallel:  k = 3

   perpendicular:  k = -4/3

8. $1300

Step-by-step explanation:

7.

Rewrite each equation as the slope-intercept form of a linear equation:

y = mx + b (where m is the slope and b is the y-intercept)

  8y = 12x + 6

⇒ [tex]y=\dfrac32x+\dfrac34[/tex]

   4y = k(2x + 10)

⇒ 4y = 2kx + 10k

⇒ [tex]y = \dfrac12kx + \dfrac52k[/tex]

If the graphs are parallel their slopes will be the same.

[tex]\implies \dfrac32=\dfrac12k[/tex]

[tex]\implies k=3[/tex]

If the graphs are perpendicular then the product of their slopes will be -1.

[tex]\implies \dfrac32 \times \dfrac12k=-1[/tex]

[tex]\implies \dfrac12k=-\dfrac23[/tex]

[tex]\implies k=-\dfrac43[/tex]

8. Create a linear equation, where x is the number of coffee mugs and y is the total cost (in dollars).

Choose 2 ordered pairs from the table:  (10, 110) and (20, 195)

Let [tex](x_1,y_1)[/tex] = (10, 110)

Let [tex](x_2,y_2)[/tex] = (20, 195)

Use the slope formula to find the slope m:

[tex]\implies m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{195-110}{20-10}=\dfrac{17}{2}[/tex]

Now use the point-slope form of linear equation:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-110=\dfrac{17}{2}(x-10)[/tex]

[tex]\implies y=\dfrac{17}{2}x+25[/tex]

Substitute x = 150 into the equation and solve for y:

[tex]\implies y=\dfrac{17}{2}(150)+25=1300[/tex]

Therefore, the total cost of ordereing 150 mugs is $1300

Answer:

A) This line is a negative slope.

Step-by-step explanation:

It is a negative slope because the y value goes down as the x value increases.

Have a great day!

Please mark brainliest and rate!

Answer:

Refer to your notes from module 6 on this.

Step-by-step explanation:

Complete this test question just like you did the practice question from the module. Remember your test is an open note test, but it is not a copy from the internet test. You can do it!!!

The values of [tex]\theta[/tex] for different conditions were calculated with the help of trigonometric functions.

The solution of trigonometric functions is the values of angles where the function value becomes zero.

Given function is:

A)[tex]f(\theta ) = 2Sin\theta +\sqrt{3}[/tex]

[tex]f(\theta ) = 2Sin\theta +\sqrt{3} = 0\\2Sin\theta = -\sqrt{3} \\Sin\theta =-\frac{\sqrt{3} }{2}[/tex]

[tex]\theta =n\pi +\frac{\pi }{3}[/tex] where n=1,3,5,7......

So, at [tex]\theta =n\pi +\frac{\pi }{3}[/tex]  pogo stick's spring will be equal to its non-compressed length.

B)If the angle was doubled, the function will look like this,

[tex]f(\theta ) = 2Sin2\theta +\sqrt{3}[/tex]

[tex]f(\theta ) = 2Sin2\theta +\sqrt{3} =0[/tex]

[tex]2Sin2\theta +\sqrt{3} = 0\\2Sin2\theta = -\sqrt{3} \\Sin2\theta =-\frac{\sqrt{3} }{2}[/tex]

[tex]2\theta =n\pi +\frac{\pi }{3}\\\theta = \frac{n\pi }{2} +\frac{\pi }{6}[/tex]where  n=1,3,5,7....

if n=1, [tex]\theta =\frac{2\pi }{3}[/tex]

n=2, [tex]\theta =\frac{7\pi }{6}[/tex]

n=3, [tex]\theta =\frac{5\pi }{3}[/tex]

So,  [tex]\theta =\frac{2\pi }{3}, \frac{7\pi }{6} ,\frac{5\pi }{3}[/tex] will be solution in [0,2π}.

C)[tex]g(\theta) =1-cos^{2} \theta +\sqrt{3}[/tex]

[tex]g(\theta) =Sin^{2} \theta + \sqrt{3}[/tex]

[tex]g(\theta) =f(\theta)[/tex]

[tex]sin^{2} \theta +\sqrt{3} = 2Sin\theta+\sqrt{3}[/tex]

[tex]Sin^2\theta = 2Sin\theta[/tex]

[tex]Sin^2\theta-2Sin\theta = 0\\Sin\theta(Sin\theta-2) =0\\Sin\theta =2(NotPOSSIBLE)\\Sin\theta =0[/tex]

[tex]\theta=n\pi[/tex] where n=1,2,3.....

So, [tex]\theta=n\pi[/tex], the lengths of springs from the original pogo stick and the toddler's pogo stick are equal.

Hence, the values of [tex]\theta[/tex] for different conditions were calculated with the help of trigonometric functions.

To get more about trigonometric functions visit:

https://brainly.com/question/2291993

Answer:

the car will use 10.64 liters of fuel to travel 450 km

Step-by-step explanation:

Answer:

v = 18.38

Step-by-step explanation:

We are going to use the Pythagorean theorem

We see that there are double slits on the right side of the triangle, indicating that 5.22 applies to the other double slits, making it 5.22.

Now we put that in the equation of [tex]b=\sqrt{c^2-a^2}[/tex]

[tex]b = \sqrt{19.11^2+5.22^2}[/tex]

[tex]b = \sqrt{365.1921-27.2484}[/tex]

[tex]b = \sqrt{337.9437}[/tex]

[tex]b = 18.3832450889[/tex]

Rounded

v = 18.38

Did I earn my crown?

Give the other guy brainliest

Answer:

Step-by-step explanation:

6x + 9 = 8 - 4.4x                Add 4.4x to both sides

6x+4.4x+ 9 = 8                  Combine

10.4x + 9 = 8                      Subtract 9 from both sides

10.4x = 8 -       9                 Combine

10.4x = - 1                            Divide by 10.4

x = - 1 / 10.4

Answer x = -0.09615 or rounded x = - 0.1