Identify this sequence: 12,19,26,33,40,47. The next term is___??

Answers

Answer 1
Answer: Next term is 54. 47+7=54
Answer 2
Answer:

Answer:

54

Step-by-step explanation:


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LMN is a right triangle.

A= True
B= False

Answers

Answer:

true

Step-by-step explanation:

it has a right angle!

me = big brain

An open box is to be made from a rectangular piece of tin by cutting 3-inch squares out of the corners and folding up the sides. The length of the piece of tin is twice the width. The volume of the box will be 60 cubic inches. Find the dimensions of the original rectangular piece of tin

Answers

Answer:

Width of the Rectangular Tin=8 inch

Length of the Rectangular Tin= 16 inch

Step-by-step explanation:

Let the Width of the Rectangle=W

The length of the piece of tin is twice the width, Length = 2W

Since Squares of 3 inch are cut from all four corners of the rectangle

Length of the box = 2W-(3+3)=(2W-6) inches

Breadth of the Box = W-(3+3)=(W-6) inches

Height = 3 inches

Volume of the box = 60 cubic inches

Now, Volume of a cuboid=lbh

3(2W-6)(W-6)=60

Divide both sides by 3

(2W-6)(W-6)=20

Expanding the brackets

(2W-6)(W-6)=20\n2W^2-12W-6W+36=20\n2W^2-18W+36-20=0\n2W^2-18W+16=0

Factorizing

2W^2-16W-2W+16=0\n2W(W-8)-2(W-8)=0\n(W-8)(2W-2)=0\nW-8=0 ,  2W-2=0\nW=8,  1

Since the Width cannot be less than 6,

Width of the Rectangular Tin=8 inch

Length= 2 X 8 = 16 inch

How many hours is 10:00 am to 3:00 pm?

Answers

it's must be 5 hours...
11,12,1,2,3. Therefore your answer is 5 hours.

Hope this helps.

Divide. Round your answer to the nearest hundredth 1÷3

Answers

well your going to get 0.3333333333(the 3's are infinite) :D
the answer is 1.333 repeating, but rounded to the nearest hundredths place is is 1.33

The radius of a circle is 2 feet. What is the length of a 135° arc?

Answers

Answer: length of arc = 4.71 feet

Step-by-step explanation:

An arc is a portion of the circumference of a circle. The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 2 feet

θ = 135 degrees

Therefore,

Length of arc = 135/360 × 2 × 3.14 × 2 = 4.71 feet

Answer:

3​/2

Step-by-step explanation:

The area of a square is found by squaring one of its sides, (A = s2). A certain square has an area of z2 + 18z + 81. Factor the trinomial to find a side of the square.a. side = z + 27
b. side = z + 18
c. side = z + 9

Answers

A = s²
A =  z² + 18 z + 81
z² + 18 z + 81 = z² + 9 z + 9 z + 81 = z ( z + 9 ) + 9 ( z + 9 ) =
= ( z + 9 ) ( z + 9 ) = ( z + 9 )²
Answer:
C ) side = z + 9 

Answer:

option c is correct.

side = z+9

Step-by-step explanation:

Area of a square(A) is given by:

A = s^2

where,

s is the side of the square.

As per the statement:

A certain square has an area of  z^2 + 18z + 81.

A = z^2 + 18z + 81

Substitute in [1] we have;

z^2 + 18z + 81 = s^2

Taking square root both sides we have;

√(z^2 + 18z + 81) =s

Using identity rule:

(a+b)^2 =a^2+2ab+b^2

then;

√(z^2 + 2(1)(9)z + 9^2) =s

√((z+9)^2) =s

Simplify:

z+9 = s

or

s = z+9

Therefore,  a side of the square. is, z+9