MATHEMATICS MIDDLE SCHOOL

True or False The area of a circle of radius 14 units is equal to the surface area of a sphere radius 7 units

Answers

Answer 1

Answer:

Answer:

True

Step-by-step explanation:

Given: Statement :"The area of a circle of radius 14 units is equal to the surface area of a sphere radius 7 units"

We have to choose whether the given statement s true or false.

Consider the given statement.

The area of a circle of radius 14 units is equal to the surface area of a sphere radius 7 units

We first find the area of circle with 14 units radius and area of a sphere with 7 units radius and compare the two values.

We know,

Area of circle = $\pi r^2$

given : r = 14 units

So, Area of circle = $\pi (14)^2$

Simplify, we have,

Area of circle = $196\pi$ units²

Now,

Area of sphere = $4\pi r^2$

given : r = 7 units

So, Area of sphere = $4\pi (7)^2$

Simplify, we have,

Area of sphere = $196\pi$ units²

Since, Area of circle with radius 14 units is equal to the area of sphere with radius 7 units.

Thus, The given statement is true.

Answer 2

Answer: The answer is true. The area of a circle of radius 14 units is equal to the surface area of a sphere radius 7 units

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What is the surface area of the rectangular pyramid below?(Image)

A. 386.9 ft2
B. 593.8 ft2
C. 639.4 ft2
D. 1,053.2 ft2

Answers

Answer:

The correct option is B.

Step-by-step explanation:

The area of pyramid is the sum of area of rectangular base and 4 triangular sides. Two triangle have base 18 ft and height 14.1 ft. Other two have base 10 ft and height 16 ft.

The area of rectangle is

$A=length* width$

Length of the base is 18ft and width is 10ft.

$A_1=18* 10=180$

The area of a triangle is

$A=(1)/(2)* base * height$

The area of triangle with base 18 ft and height 14.1 ft is

$A_2=(1)/(2)* 18 * 14.1=126.9$

The area of triangle with base 10 ft and height 16 ft is

$A_3=(1)/(2)* 10 * 16=80$

The total surface area of the rectangular pyramid is

$A=A_1+2* A_2+2* A_3$

$A=180+2* (126.9)+2* (80)$

$A=593.8$

The surface area of the rectangular pyramid is 593.8 ft². Therefore the correct option is B.

Answer:

it is B

Step-by-step explanation:

What type of correlation is shown in the scatter plot? A.
positive correlation

B.
negative correlation

C.
no correlation

Answers

A. positive correlation because even though it looks pretty scattered, in most cases the GPA is higher when the hours spent studying is higher

Plz help me!!! It's a lvl6 paper and i am not that lvl yet! It's just so he teachers know how inwill do and its calculator alowed. 20 ponits for best answer!

Answers

$C=3N+425$
N is the number of leaflets so you just substitute the required number for N.

$C=3 * 2500 + 425=7500+425=7925$

The cost of printing 2500 leaflets is £7925.

$C=3\cdot2500+425\nC=7500+425\nC=7925$

The cost is $\pounds 7925$

my ones digit is one more than 10 my tens digit my Hundred digit is one less than my tens digit my ones digit is 3 what number am I

Answers

123 bcuz u add 1 to the tens digit to get the ones digit so I would do the opposite of that and subtract 1 from the ones digit to get the tens digit. then subtract 1 from the tens digit to get the hundreds digit. if u don't understand message me

Which is a factor of 6x2 + x − 7? x + 1, 2x + 1, 6x + 7 ,3x + 7

Answers

Answer:

The correct answer is 6x +7

Step-by-step explanation:

It is given a polynomial 6x^2 + x − 7

Factorization of 6x^2 + x − 7

Using splitting method

6x^2 + x − 7 = 6x^2 - 6x + 7x − 7

= 6x(x - 1) + 7 (x - 1) (take 6x and 7 as common)

= (x - 1)(6x +7)

Therefore the factors of 6x^2 + x − 7 are (x - 1) and (6x + 7)

Therefore the correct answer is (6x + 7)

Answer:

6x+7

Step-by-step explanation:

If you factor this quadratic,

your 2 factors are:

(6x+7)(x-1)

Factorise 2x squared -5x -12

Answers

2x^2-5x-12 guess (2x+3)(x-4) works 2x^2+3x-8x-12 2x^2-5x-12 (2x+3)(x-4)

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