The perimeter of a rectangle is 102 inches. The length is 5 inches greater than the width.

Answer:

x=-5

Step-by-step explanation:

[tex]\frac{x}{x+3} =\frac{5}{2} \\5x+15=2x\\5x-2x=-15\\3x=-15\\x=-15/3=-5[/tex]

Answer:

See explanation

Step-by-step explanation:

When we have a positive number and a negative number, let's imagine it with a number line.

<-----------0----------->

If we have the positive number 1:

<-----------0--1-------->

And we want to subtract 1 from it, the number would move to the left

1 - 1 = 0

<-----------0----------->

However, if we were to subtract a negative number, they are opposites. It can't move to the left because that's what a positive number does. The only other way to go: right.

1 + -1 = 2

<-----------0--1--2----->

Hope this helped!

Answer:

7.6 cm²

Step-by-step explanation:

Area of rectangle= l x w

3 x 4 = 12 cm

Area of circle= πr²

π x 2.5²= 19.625

Area of shaded= Area of circle - area of rec

19.625- 12= 7.625 cm²

≈7.6

I HOPE THIS HELPED

Answer: The answer is B

Step-by-step explanation:

Answer: lenght x widthx height

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

4s multiples:

4,8,12,16,20,24

6s multiples:

6,12,18,24,30,36

lowest number that is a common multiple between both 4 and 6:

12

Answer: 2

Step-by-step explanation:

Answer:

5cm

Step-by-step explanation:

A=4πr2 =  100πcm2

r = 5

The depth of the mirror of the cross-section of a searchlight would be 8.33 cm if the light bub has a vertex at 3 cm and the mirror is 20 centimeters across at the origin.

A cross-section is perpendicular to the axis of the symmetry goes through the vertex of the parabola. The cross-sectional shape of the mirrored section of most searchlights or spotlights is parabolic.

Given:

a = 3

y = [tex]\frac{20}{2}[/tex] cm = 10 cm

Solution:

from the equation [tex]y^{2} = 4ax[/tex]

[tex]y^{2} = 4*3*x\\ y^{2} = 12x[/tex]

putting x, 10 cm in the equation

[tex]x=\frac{10^{2} }{12} \\\\x= \frac{100}{12} \\\\x= 8.33 cm[/tex]

thus, the depth of the mirror would be - 8.33 cm

Learn more about other problems of the parabola:

https://brainly.com/question/12793264

Answer:

x intercepts at -4 and 1,

with a minimum at (-1.5, -6.25)

Step-by-step explanation:

(x + 4)(x - 1) = 0

x = -4, 1

min = -b/2a = -3/2(1) = x = -1.5

y = (-1.5)² + 3(-1.5) - 4 = -6.25

Answer:

  graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4

Step-by-step explanation:

The graph shows the minimum is (-1.5, -6.25) and the x-intercepts are a -4 and 1. This matches the last description.

__

The x-coordinates of the offered minima are all different, so it is sufficient to know that the axis of symmetry is the line ...

  x = -b/(2a) = -3/(2(1)) = -1.5 . . . . . . . for quadratic f(x) = ax² +bx +c

This is the x-coordinate of the minimum.

Answer: this not correct ,because in the expression it is not clear , the numbers are neither exactly rounded to nearest tens or tenths.

Step-by-step explanation:

Our total add is

= 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815

When we spherical it up to nearest tens

7.95 = 8.00

8.11 = 8.00

78.5 = 79

8.05 = 8.00

79.4 = 79.0

0.815 = 1

when we estimate the rational numbers with an extra operation once done,our results is

= eight + eight + eighty + eight + eighty + zero.8 = 184.8, isn't correct ,because within the expression it's not clear , the numbers area unit neither precisely rounded to nearest tens or tenths.

for example ,79.4 once rounded to nearest tens = seventy nine,but within the expression eighty (80) is written,which isn't correct.

Similarly,when rounded to nearest tens, 0.815 = 1, however within the expression 0.8 is written,which is wrong.

Similarly,when rounded to nearest tens ,78.5 = 79 , however within the expression eighty ( 80 ), is written,which is wrong

Answer:

No, because 6² + 8² ≠ 12²

Step-by-step explanation:

In a right angled triangle,

Perpendicular² + Base² = Hypotenuse² (pythagoras theorem)

But in the given triangle; 6² + 8² ≠ 12²

36 + 64 ≠ 144

100 ≠ 144

Perpendicular² + base² ≠ hypotenuse²

Thus the given triangle is not right angled.

Answer:

C. [tex]g\,\circ \, f (x) =g(f(x))[/tex]

Step-by-step explanation:

Let be [tex]f(x) = x-500000[/tex] the excedent on annual sales and [tex]g(x) = 0.2\cdot x[/tex] the bonus factor, to determine the bonus amount a composition of [tex]f(x)[/tex] is [tex]g(x)[/tex] must be done. That is:

[tex]g\,\circ \, f (x) =g(f(x))[/tex]

Hence, the right answer is C.

Answer:

3. 150.72 in²

4. 535.2cm²

Step-by-step Explanation:

3. The solid formed by the net given in problem 3 is the net of a cylinder.

The cylinder bases are the 2 circles, while the curved surface of the cylinder is the rectangle.

The surface area = Area of the 2 circles + area of the rectangle

Take π as 3.14

radius of circle = ½ of 4 = 2 in

Area of the 2 circles = 2(πr²) = 2*3.14*2²

Area of the 2 circles = 25.12 in²

Area of the rectangle = L*W

width is given as 10 in.

Length (L) = the circumference or perimeter of the circle = πd = 3.14*4 = 12.56 in

Area of rectangle = L*W = 12.56*10 = 125.6 in²

Surface area of net = Area of the 2 circles + area of the rectangle

= 25.12 + 125.6 = 150.72 in²

4. Surface area of the net (S.A) = 2(area of triangle) + 3(area of rectangle)

= [tex] 2(0.5*b*h) + 3(l*w) [/tex]

Where,

b = 8 cm

h = [tex] \sqrt{8^2 - 4^2} = \sqrt{48} = 6.9 cm} (Pythagorean theorem)

w = 8 cm

[tex]S.A = 2(0.5*8*6.9) + 3(20*8)[/tex]

[tex]S.A = 2(27.6) + 3(160)[/tex]

[tex]S.A = 55.2 + 480[/tex]

[tex]S.A = 535.2 cm^2[/tex]

Answer:

[tex]\sqrt{12}=2\sqrt{3}[/tex]

[tex]\sqrt{18} = 3\sqrt{2}[/tex]

[tex]\sqrt{24}=2\sqrt{6}[/tex]

[tex]\sqrt{72}=6\sqrt{2}[/tex]

Step-by-step explanation:

Hi there!

[tex]\sqrt{12}[/tex]

To simplify a square root, check if the radicand has any perfect square factors. For example, 12 can be rewritten as 4*3:

[tex]=\sqrt{4*3}\\=\sqrt{4}*\sqrt{3}[/tex]

4 is a perfect square. Its square root is 2:

[tex]=2*\sqrt{3}\\=2\sqrt{3}[/tex]

[tex]\sqrt{18} \\= \sqrt{9*2} \\= 3\sqrt{2}[/tex]

[tex]\sqrt{24} \\=\sqrt{4*6}\\=2\sqrt{6}[/tex]

[tex]\sqrt{72} \\=\sqrt{36*2} \\=6\sqrt{2}[/tex]

I hope this helps!

Answer:

Zero

Step-by-step explanation:

2+6=8 which means it can't be. It has to be a length higher than 10

Answer:

1

Step-by-step explanation:

x +2y=1

2y+x  will equal 1

Answer:

6

Step-by-step explanation:

the solution in photo :)

Answer:

6

Step-by-step explanation:

→ Prime factorise each number

12 = 2² × 3 ⇒ 2 × 2 × 3

18 = 2 × 3² ⇒ 2 × 3 × 3

24 = 2³ × 3 ⇒ 2 × 2 × 2 × 3

→ Find which number there are in each one

2 and 3

→ Multiply them together

2 × 3 = 6

Answer:

Step 1: Equation at the end of step 1

(((x^{2} )-4xy)+(4(((x

2

)−4xy)+(4 ×(y^{2} )))-3^{2} -z^{2}(y

2

)))−3

2

−z

2

Step 2: Equation at the end of step 2

(((x^{2} )-4xy)+2^{2} y^{2} )-3^{2} z^{2}(((x

2

)−4xy)+2

2

y

2

)−3

2

z

2

Step 3: Final Result

x^{2} -4xy+4y^{2} -9z^{2}x

2

−4xy+4y

2

−9z

2

Answer:

1.83

Step-by-step explanation:

The standard deviation of given data set rounded to the hundredth place is 2.55

Given data set is: 9, 11, 12, 16

The mean of the data set is 12.

The formula for standard deviation is written as:

[tex]\sigma = \sqrt{{\sum^\:n}_{i=1}{\dfrac{(x_i-\overline{x})^2}{n}}\\[/tex]

here n = 4 and x assumes 9, 11, 12 and 16 and mean is 12, thus putting values in the given formula,

[tex]\sigma = \sqrt{\dfrac{[(9-12)^2 + (11-12)^2 + (12-12)^2 + (16-12)^2]}{4}}\\\sigma = \sqrt{\dfrac{[3^2 + 1^2 + 4^2]}{4}}\\\sigma = \sqrt{\dfrac{26}{4}}\\\sigma = \sqrt{6.5}\\\sigma = 2.549..\\\sigma \approx 2.55[/tex]

Thus, standard deviation of given data set rounded to the hundredth place is 2.55

Learn more here:

https://brainly.com/question/12402189

Answer:

y=3x

Step-by-step explanation:

The equation of the line is y=3x

Answer:

either it's 1:3 or 1:6

Step-by-step explanation:

3 students went to the zoo, and 15 students went to the aquarium.

15 plus 3 is 18.

3/18 then reduces to 1/6

therefore it is:

1:6

(before, I got my answer deleted so, maybe it is 1:3, but I solved it and got 1:6)

⇛3(3+4)

⇛9 + 12

Answer:

[tex]2[/tex]

4th Answer is Correct

Step-by-step explanation:

[tex] - \frac{3}{4} + 2 \frac{3}{4} \\ \frac{ - 3}{4} + \frac{11}{4} \\ \frac{ - 3 + 11}{4} \\ = \frac{8}{4} \\ = 2[/tex]

Step-by-step explanation:

From both the cases we can say that √n is either a natural number or an irrational number. Hence the correct option is (d)Either a natural number or an irrational number. Note: Before solving this type of question we should have proper knowledge of natural numbers, rational numbers and irrational numbers.

Answer:

572 7s are needed to be added together

Step-by-step explanation:

Basically, what we are asked here is the multiple of 7 which is closest to but above 4,000

Then, from this multiple , the number of 7s which are added together to give it is our answer.

By multiplication; 7 * 572 = 4,004

This is the closest multiple of 7 to 4000 which is also above it.

So the fewest number of 7s which we can add together is 572

Answer:

same day = 25

advanced = 40

Step-by-step explanation:

Let a = advanced tickets

s = same day tickets

s+a = 65

25a+35s = 1875

Multiply the first equation by -25

-25s -25a = -1625

Add this to the second equation

25a+35s = 1875

-25a -25s= -1625

---------------------------

     10s = 250

Divide each side by 10

10s/10 = 250/10

s =25

Now find a

s+a = 65

25+a = 65

a = 40

Answer: same day = 25

advanced = 40

Answer:

The answer simplified would be:

-4y^2+3y+5

If you combine the like terms, you will get this answer.

You have to add 8y^2 to -12y^2 and you get -4y^2.

Hope this helps you! :)

Answer: Yes, Substitution property is the correct option.

Step-by-step explanation:

Given: m∠A+m∠B =70° ...(i),  m∠X=m∠A

Then, substitute m∠X for m∠A in (i) , we get

m∠X+m∠B =70°

So, the correct option is "Substitution property"

Answer:

216

Step-by-step explanation:

Volume of a rectangular prism = area of base * depth

Area of base: 72

Depth: 3

Volume = 72 * 3 = 216