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2 years ago

Area of the base=

Mathematics

2 answers:

Serggg [28]2 years ago

5 0

Answer: 16 $\pi$ square units

Step-by-step explanation:

This figure is a cylinder. The base of a cylinder is a circle. The formula for finding the area of a circle is $\pi r^2$ . The radius in the image is 4. Now we can solve

$\pi 4^2\\\pi 16\\16\pi$

umka21 [38]2 years ago

3 0

Answer:

16 pi

Step-by-step explanation:

The base is the circle

A = pi r^2

A = pi (4)^2

A = 16 pi

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Find (3a2 - 2a + 4) - (a2 - 3a + 7) .

melisa1 [442]

(3a^2 - 2a + 4) - (a^2 - 3a + 7) = (distribute the negative sign)
3a^2 - 2a +4 - a^2 + 3a - 7 = (add like terms)
2a^2 + a - 3
So, the answer is A!

6 0

2 years ago

The length of a rectangular garden is 6 more than its width. If the perimeter is 32 feet, what is the width and the area of the

PolarNik [594]

Answer:

${\fbox{ \sf{Width \: of \: a \: rectangular \: garden \: = 5 \: feet}}}$

$\boxed{ \sf{ \: Area \: of \: a \: rectangular \: garden = 55 {ft}^{2}}}$

Step-by-step explanation:

$\star$ Let the width of a rectangular garden be 'w'

$\star$ Length of a rectangular garden = 6 + w

$\star$ Perimeter of a rectangular garden = 32 feet

 $\longrightarrow$ Finding the width of a rectangular garden :

$\boxed{ \sf{ \: Perimeter \: of \: a \: rectangle \: = \: 2(length + width}}$

$\mapsto{ \text{32 = 2(6 + w + w)}}$

$\text{Step \: 1 \: : Collect \: like \: terms}$

Like terms are those which have the same base

$\mapsto{ \text{32 = 2(6 + 2w) }}$

$\text{Step \: 2 \: : Distribute \: 2 \: through \: the \: parentheses}$

$\mapsto{ \text{32 = 12 + 4w}}$

$\text{Step \: 3 \: : Swap \: the \: sides \: of \: the \: equation}$

$\mapsto{ \text{4w + 12 = 32}}$

$\text{Step \: 4 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}$

$\mapsto{ \text{4w = 32 - 12}}$

$\text{Step \: 5 \: : Subtract \: 12 \: from \: 32}$

$\mapsto{ \sf{4w = 20}}$

$\text{Step \: 6 \: : Divide \: both \: sides \: by \: 4}$

$\mapsto{ \sf{ \frac{4w}{4} = \frac{20}{4}}}$

$\text{Step \: 7 \: : Calculate}$

$\mapsto{ \text{w = 5}}$

Width of a rectangular garden = 5 feet

$\longrightarrow$ Substituting / Replacing the value of w in 6 + w in order to find the length of a rectangular garden

$\mapsto{ \sf{Length = 6 + w = 6 + 5 = \bold{11 \: feet} }}$

$\longrightarrow$ Finding the area of a rectangular garden having length of 11 feet and width of 5 feet :

$\boxed{ \sf{Area \: of \: a \: rectangle = length \:∗ \: width}}$

$\mapsto{ \text{Area \: = \: 11 \: ∗ \: 5}}$

$\mapsto{ \sf{Area \: = 55 \: {ft}^{2} }}$

Area of a rectangular garden = 55 ft²

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

6 0

2 years ago

Key Features of Graphs of Functions - Part 1

dexar [7]

Answer:

See below

Step-by-step explanation:

Q1.

In a function, every output value corresponds to exactly one input

value.

The words to be interchanged are underlined. The function as per definition has exactly one output for each input.

Q2.

Part A

Because it has 2 same input value for 2 different output values

Part B

The two points are (4, -2) and (4, 2)

5 0

2 years ago

Read 2 more answers

For questions 1-5, round the fraction or mixed number to the nearest 1/2

Aneli [31]

1.b 3.c 4.b 5.a 2.a theres your anwsers

6 0

3 years ago

Which is the equation of a line that passes through (1,8) and (6,4)

Sati [7]

Answer:

y = - $\frac{4}{5}$ x + $\frac{44}{5}$

Step-by-step explanation:

(6, 4)

(1, 8)

m = $\frac{8-4}{1-6}$ = - $\frac{4}{5}$

y - 4 = - $\frac{4}{5}$ ( x - 6 )

y = -  $\frac{4}{5}$  x +  $\frac{44}{5}$ ⇔ y = - 0.8x + 8.8

8 0

2 years ago