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3 years ago

Explain the difference between perimeter and area.why do they measure?what type of units are they measured in?

1 answer:

4 0

Perimeter is the distance around an object / shape. Area is the amount of space within a 2 dimensional surface. For example the perimeter of a square would be the lengths of each side added together while the area would be how much space inside of it that it occupies. Area is measured in units squared, while perimeter is left in just units. In other words if the unit ( measurements ) are conducted in cm, then the area would be put in cm^2. The perimeter would just remain in cm.

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If the surface area of the box in the diagram is 204.25 square feet, what is the value of ‘x’?

Alexandra [31]

Note: Consider x be the breadth of the box.

Given:

The surface area of the box is 204.25 square feet.

Length of the box = 10 ft

Breadth of the box = x ft

Height of the box = 6.5 ft

To find:

The value of x.

Solution:

The surface area of a cuboid is:

$SA=2(lb+bh+hl)$

Where, l is length, b is breadth and h is height of the cuboid.

Putting $SA=204.25, l=10,\ b=x,\ h=6.5$ in the above formula, we get

$204.25=2(10\times x+x\times 6.5+6.5\times 10)$

$204.25=2(10x+6.5x+65)$

$204.25=2(16.5x+65)$

Using distributive property, we get

$204.25=2(16.5x)+2(65)$

$204.25=33x+130$

$204.25-130=33x$

$74.25=33x$

Divide both sides by 33.

$\dfrac{74.25}{33}=x$

$2.25=x$

Therefore, the correct option is B.

7 0

3 years ago

Scientists found that a certain particle of dust doubles every 30 minutes. If the scientists tests this out with 21 grams of the

monitta

Answer: $1.663\times 10^{30}\ gm$

Step-by-step explanation:

Given

Population of dust particle doubles every 30 minutes

If the initial sample is 21 grams

The model to predict the population will be

$\Rightarrow P=21\cdot 2^{2t}$

Where t=time in hours

A day has 24 hours . So, for 2 days time is 48 hours

Population is given by

$\Rightarrow P=21\cdot 2^{2\times 48}\\\\\Rightarrow P=21\times 2^{96}\\\\\Rightarrow P=1.663\times 10^{30}\ gm$

7 0

3 years ago

A sound engineer is positioning a cardioid microphone for a music concert. Which equation corresponds to a microphone facing the

Flura [38]

Answer:

D r = 4 − 4 cos(θ)

Step-by-step explanation:

Right on edge

5 0

3 years ago

Combine like terms: 3p2q2-3p2q3+4p2q3-3p2q2+pq PLEASE HELP!!! ASAP!!!

ch4aika [34]

Answer:

p²q³ + pq and pq(pq² + 1)

Step-by-step explanation:

Given

3p²q² - 3p²q³ +4p²q³ -3p²q² + pq

Required

Collect like terms

We start by rewriting the expression

3p²q² - 3p²q³ +4p²q³ -3p²q² + pq

Collect like terms

3p²q² -3p²q² - 3p²q³ +4p²q³ + pq

Group like terms

(3p²q² -3p²q²) - (3p²q³ - 4p²q³ ) + pq

Perform arithmetic operations on like terms

(0) - (-p²q³) + pq

- (-p²q³) + pq

Open bracket

p²q³ + pq

The answer can be further simplified

Factorize p²q³ + pq

pq(pq² + 1)

Hence, 3p²q² - 3p²q³ +4p²q³ -3p²q² + pq is equivalent to p²q³ + pq and pq(pq² + 1)

7 0

3 years ago

Please help me with this math question

scZoUnD [109]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1}\\\\6d=8e\qquad\text{divide both sides by 6}\\\\d=\dfrac{8}{6}e\to d=\dfrac{4}{3}e\\\\\text{Substitute it and}\ f=2e\ \text{to the ratio}\ d:e:f:\\\\\dfrac{4}{3}e:e:2e\qquad\text{cancel}\ e\\\\\dfrac{4}{3}:1:2\qquad\text{multiply by 3}\\\\\huge\boxed{4:3:6}$

$\bold{METHOD\ 2}\\\\6d=8e\qquad\text{divide both sides by 6}\\\\d=\dfrac{8}{6}e\qquad\text{divide both sides by}\ e\neq0\\\\\dfrac{d}{e}=\dfrac{4}{3}\to d:e=4:3\\\\2e=f\qquad\text{divide both sides by 2}\\\\e=\dfrac{f}{2}\to e=\dfrac{1}{2}f\qquad\text{divide both sides by}\ f\neq0\\\\\dfrac{e}{f}=\dfrac{1}{2}\to e:f=1:2\\\\\text{We have}\ d:e=4:3\ \text{and}\ e:f=1:2.$

$\text{We know}\ \dfrac{1}{2}=\dfrac{1\cdot3}{2\cdot3}=\dfrac{3}{6}\\\\\text{threfore}\ e:f=3:6\\\\\text{Now we have}\\\\\left\begin{array}{ccc}d:e=4:3\\e:f=3:6\end{array}\right\}\large{\boxed{d:e:f=4:3:6}}$

6 0

3 years ago