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Sveta_85 [38]
2 years ago
13

A rectangular field is 95 meters wide and 140 meters long. A coach

Mathematics
1 answer:
Furkat [3]2 years ago
5 0

Answer: don’t have a calculator but if you do write this and you will get your answer 140 x 95

Step-by-step explanation:

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two similar containers have base areas 26cm² and 324cm² respectively. Calculate the capacity of the larger container correct to
Setler79 [48]

Answer:

351.9 cm³

Step-by-step explanation:

The ratio of the areas of two similar solids is equal to the square of the ratio of the lengths.

A₂ / A₁ = (s₂ / s₁)²

The ratio of the volumes of two similar solids is equal to the cube of the ratio of the lengths.

V₂ / V₁ = (s₂ / s₁)³

Therefore, we can say:

V₂ / V₁ = (A₂ / A₁)^(3/2)

Plugging in values:

V / 8 cm³ = (324 cm² / 26 cm²)^(3/2)

V = 351.9 cm³

5 0
4 years ago
Read 2 more answers
I need help with this
cestrela7 [59]

<h2><u>\bold\color{plum}\tt \: Answer  \: \:  1 :</u></h2>

Diameter = 4 cm

Radius = Diameter/2 = 2 cm

Area of circle :

= \pi{r}^{2}

= 3.14 \times 2 \times 2

= 3.14 \times 4

= 12.56 \:   {cm}^{2}

Circumference of circle :

= 2\pi r

= 2 \times 3.14 \times 2

= 12.56 \: \:   {cm}^{2}

<h2>Therefore, </h2><h3>Diameter = 4 cm</h3><h3>Radius = 2 cm</h3><h3>Area = 12.56 cm²</h3><h3>Circumference = 12.56 cm</h3>

<h2><u>\bold{\color{plum}\tt \: Answer  \: \:  2 :}</u></h2>

Circumference = 15 feet (given)

Radius :

= 2\pi  r

= 2 \times  \frac{22}{7}  \times r = 15

=  \frac{44}{7}  \times r = 15

= 44r = 15 \times 7

= 44r = 105

= r =  \frac{105}{44}

= r = 2.38 \: feet

Diameter = r×2 = 2.38 × 2 = 4.76 feet

Area :

= \pi  {r}^{2}

= 3.14 \times 2.38 \times 2.38

= 17.78 \:  {ft}^{2}

<h2>Therefore, </h2><h3>Diameter = 4.76 feet</h3><h3>Radius = 2.38 feet</h3><h3>Area = 17.78 ft²</h3><h3>Circumference = 15 feet</h3>

<h2><u>\color{plum}\tt \: Answer  \: \:  3 :</u></h2>

Diameter = 2 cm (given)

Radius = D/2 = 2/2 = 1 cm

Circumference :

= 2 \pi r

= 2 \times 3.14 \times 1

= 6.28 \: feet

Area :

= \pi  {r}^{2}

= 3.14 \times 1 \times 1

= 3.14 \:  {ft}^{2}

<h2>Therefore, </h2><h3>Diameter = 2 cm</h3><h3>Radius = 1 cm </h3><h3>Area = 3.14 ft²</h3><h3>Circumference = 6.28 feet</h3><h2 /><h2><u>\color{plum}\tt \: Answer  \: \:  4 :</u></h2>

Radius = 4.3 mm

Diameter = r×2 = 4.3 × 2 = 8.6 mm

Circumference :

= 2\pi r

= 2 \times 3.14 \times 4.3

= 27 \: mm

Area :

= \pi  {r}^{2}

= 3.14 \times 4.3 \times 4.3

= 3.14 \times 18.49

= 58.05 \:  {mm}^{2}

<h2>Therefore, </h2><h3>Diameter = 8.6 mm</h3><h3>Radius = 4.3 mm</h3><h3>Area = 58.95 mm²</h3><h3>Circumference = 27 mm</h3>
7 0
3 years ago
The original value of a car is $24,000. It depreciates 15% annually. What is its value in 4 years? $
ValentinkaMS [17]

Answer:

Future Value = $ 12528.15

Step-by-step explanation:

The depreciation is applied to the car annually. The value of the car after depreciation in "n" no. of years can be given by the following formula:

Future\ Value = (Present\ Value)(1-depreciation\ rate)^n\\

where,

Future Value = ?

Present Value = $ 24000

Depreciation Rate = 15% = 0.15

n = no. of years = 4

Therefore,

Future\ Value = (\$ 24000)(1-0.15)^4

<u>Future Value = $ 12528.15</u>

8 0
3 years ago
1/2x + 1/3y = 0 <br><br> 1/4x - 1/2y = 8 <br><br> What is the solution of the system shown?
zysi [14]
The solution is (8,-12) if it was solved by elimination 
8 0
3 years ago
Factor.
Sergio039 [100]

Answer:

4(2x^5+x^2-3)

Step-by-step explanation:

The question is to factorize  8x^5+4x^2-12

<em>What is common from all 3 terms?</em> It is the factor 4, so we take out 4 and write the remaining as "factorized form".

(Work shown below):

8x^5+4x^2-12\\=4(2x^5+x^2-3)

<u>First answer choice is right.</u>

4 0
3 years ago
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