a and b are positive integers and a-b=2. Evaluate the following:
9^1/2^b/3^a

Answer:

1. 12x^2-8x

taking common 4x

4x(x-2)

2. x^2+5x-36

doing middle term factorization

x²+9x-4x-36

x(x+9)-4(x+9)

(x+9)(x-4)

3. 3x^2+10x+8

Doing middle term factorization

3x²+6x+4x+8

3x(x+2)+4(x+2)

(x+2)(3x+4)

Answer:

m<A = 62

Step-by-step explanation:

180 - 116 = 64

3x - 13 + 2x + 4 + 64 = 180

5x + 55 = 180

5x = 125

x = 25

<A:

3x - 13

3(25) - 13

75 - 13

62

Answer:

26 sq in.

Step-by-step explanation:

Let x = measure of one acute angle

3x - 2 = measure of other acute angle

Since the triangle is a right triangle, the sum of the measures of the acute angles is 90

x + 3x - 2 = 90

4x - 2 = 90

4x = 92

x = 23

90 - 23 = 67

The acute angles are 23° and 67°

Now, let a = length of side opposite the 23° angle

sin 23 = a/12

a = 12 sin 23

Let b = length of the side opposite the 67° angle

sin 67 = b/12

b = 12 sin 67

Area = 1/2ab = 1/2(12 sin 23°)(12 sin 67°)

                     = 25.90

26 sq in to the nearest inch

Wow!  That is quite the problem.

Answer:

56.52 cm

Step-by-step explanation:

9×2×3.14=56.52

9=r (radius)

2 is part of the formula

3.14= pi

Can I please have Brainliest?

Answer:

Volume :-

= 1/3 × 3.14 × 9 × 4

= 37.68 m^3

l = √9 + 16

= √25

= 5 cm

Surface Area

= 3.14 × 3 × 5

= 47.1 cm^2

Hope this helps you

Please mark as brainiest

Answer:

33.49

Step-by-step explanation:

the formula for finding the volume of a sphere is 4/3 * pi(3.14) * r^3. the diameter is 4 so half that to get the radius (2). 2^3 = 12. 12 * 3.14 * 4/3 = 33.49

Answer:

I think its a

Step-by-step explanation:

because 1/5 as a decimal is 0.2 and 0.3 is great then 0.2

Answer:

its B i think

Answer:

height of triangle= 12

Step-by-step explanation:

A= 1/2bh

54=1/2(9)h

54= 4.5h

54/4.5= 4.5/4.5

h= 12

Answer:

[tex]5x+6y=12[/tex]  I will do y and x slope-intercept form

Answer: [tex]y=-\frac{5}{6} x+2[/tex]

[tex]-3x-2y=4[/tex] I will do the same method

Answer: [tex]y=-\frac{3}{2}x-2[/tex]

Step-by-step planation:

How I got my answer I took 5x and put it on the right side and I changed the sign which looks like [tex]6y=12-5x[/tex] then I would divide the equation by 6 which looks [tex]y=2-\frac{5}{6} x[/tex] Then I use commutative property and reorder the terms

[tex]y=-\frac{5}{6}x+2[/tex] and that is the answer.

I put the -3x and on the right side and make it [tex]-2y=4+3x[/tex] then I changed both signs of the equation which is the -2y [tex]2y=-4-3x[/tex] then I divided both sides of the equation by 2 [tex]y=-2-\frac{3}{2}x[/tex] and use the commutative property and reorder the terms [tex]y=-\frac{3}{2}x-2[/tex] which is the answer.

Answer:

D. perpendicular bisesecor

Step-by-step explanation:

Answer:

0, 7, -10

Step-by-step explanation:

0, -7, 7, -10, -9, -10, 7, 0, 4

Two 0

one -7

Two 7

Two -10

one 4

0, 7, and -10 are the only ones to appear the most

The area of shaded and unshaded sector is 1.13 × P^2 and 1.99 × P^2.

Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object.

Suppose that radius of the considered sphere is of 'r' units.

Then, its surface area S would be:

[tex]S = 4\pi r^2 \: \rm unit^2[/tex]

We are given that;

P is the center, angle LPJ=130degree

Now,

To find the approximate values, we can use 3.14 for π and round to the nearest tenth:

Area of shaded sector = (13π/36) × P^2

≈ (13 × 3.14/36) × P^2

≈ 1.13 × P^2

Area of unshaded sector = (23π/36) × P^2

≈ (23 × 3.14/36) × P^2

≈ 1.99 × P^2

Therefore, by the surface area the answer will be 1.13 × P^2 and 1.99 × P^2.

Learn more about surface area here:

https://brainly.com/question/15096475

#SPJ2

Answer:

Area is 10.5

Step-by-step explanation:

We can use the trapezoid formula of

[tex]A = \frac{a+b}{2}h[/tex]

A = (2 + 5) / 2 * 3 = 3.5 * 3 = 10.5

or break it into a rectangle and a triangle (natural split by y axis).

A = 2 * 3 + 3 * 3 / 2 = 6 + 9 / 2 = 6 + 4.5 = 10.5

Answer:

10.5 units²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = OS = 3 , b₁ = OC = 5 , b₂ = SK = 2 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (5 + 2) = 1.5 × 7 = 10.5 units²

Answer:

No becasue -5 is more than positive 0

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

No I don't agree with Marty because when or if I get more money I have to give it to the bank so lets say I earned 15 dollars I would have to give five to the bank because I owe the them but if Ii have 0 dollars I don't owe the bank money I get all the 15 dollars.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(2 + 2 + 2 + 6) × 2 ÷ 2 = 12

Answer:

58_7

51

then

in 23×7 minutes )

= 161 minutes.

Answer:

negative square root of 2

negative square root of 3

negative square root of 5

Step-by-step explanation:

:)

Answer:

the answer is C.815+(-97)

Step-by-step explanation:

Answer:

Perimeter of rectangle before folded = 56 in

Total area after folding = 156 sq in

Step-by-step explanation:

Rectangle before folded:  l = 16 and w = 12

                                           P = 2(16) + 2(12) = 32 + 24 = 56 in.

Figure after folding:   Area of trapezoid + area of rectangle

Area of trapezoid = h([tex]b_{1} + b_{2}[/tex])/2 = 6(4 + 16)/2 = 60

Area of rectangle = lw = 16(6) = 96

Total area after folding = 60 + 96 = 156 sq in.

Note:  You could also find the area after folding by substracting the areas of the two triangles in the corners from the area of the original rectangle.  Your choice.  OK?

9514 1404 393

Answer:

Step-by-step explanation:

In 3 years, the 16-year age difference will be 2 times Paul's age. (3p -p = 2p) Then, Paul will be 8.

Paul is 5 now, and Gina is 21.

Answer:

[tex]x = 25[/tex]

Step-by-step explanation:

The angles are vertical since they form from two lines crossing at a point and they share a same vertex.

Vertical angles are equal so

[tex]4x - 25 = 75[/tex]

[tex]4x = 100[/tex]

[tex]x = 25[/tex]

Answer:

Hi! The answer to your question is 12

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Step-by-step explanation:

Given

[tex] \frac{8}{ \frac{2}{3} } \\ = 8 \times \frac{3}{2} \\ = 4 \times 3 \\ = 12[/tex]

Hope it will help :)❤

Answer: x > 15

Step-by-step explanation:

Let the number be represented by x. Based on the information given, we can form an equation as:

(4x - 7) + 6 > 3x + 14

4x - 7 + 6 > 3x + 14

4x - 3x > 7 - 6 + 14

x > 15

Therefore, x include numbers such as 16, ....

Answer:

AE = 9 units

Step-by-step explanation:

Based on the centroid theorem:

AX = ⅔ of AE

Given that AX = 6 units, where X is the centroid of ∆ABC, therefore:

6 = ⅔ of AE

6 = ⅔(AE)

Multiply both sides by 3

6*3 = ⅔(AE)*3

18 = 2(AE)

Divide both sides by 2

18/2 = AE

9 = AE

AE = 9 units

Answer:

12.16

Step-by-step explanation:

1:Reduce the fraction 100 38 ​ to lowest terms by extracting and canceling out

2:Express 50/19 ​ ×32 as a single fraction.

3:Multiply 19 and 32 to get 608.

4:Reduce the fraction 608/50 ​ to lowest terms by extracting and canceling out 2.

5:304/25=(12.16).

Answer:

os(390)   sin(330)   csc(60)

Step-by-step explanation:

Answer: 6th month

Step-by-step explanation:

Let the month where the plans cost the same be represented by x.

Plan A charges $99 for the phone plus $25 per month. This can be written as:

= 99 + 25x

Plan B charges $39 for a phone and a $35 per month. This can be written as:

= 39 + 35x

We then equate both equations and this will be:

99 + 25x = 39 + 35x

Collect like terms

99 - 39 = 35x - 25x

60 = 10x

x = 60/10

x = 6

The plan will cost the same in the 6th month.