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2 years ago

Which are equivalent equations? Select two correct answers.

Mathematics

2 answers:

Amiraneli [1.4K]2 years ago

8 0

Answer:

B and D if not sorry

Step-by-step explanation:

Vera_Pavlovna [14]2 years ago

4 0

Answer:

b and d

Step-by-step explanation:

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4) A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is

lisov135 [29]

Answer:

l=0.1401P\\

w =0.2801P

where P = perimeter

Step-by-step explanation:

Given that a window is in the form of a rectangle surmounted by a semicircle.

Perimeter of window =2l+\pid/2+w

$P= 2l+3.14 (w/2)+w$

Or $P = 2l+2.57w\\l = \frac{P-2.57w}{2}$

To allow maximum light we must have maximum area

Area = area of rectangle + area of semi circle where rectangle width = diameter of semi circle

$A=lw +\pi \frac{w^2}{8}$

$A=lw +\pi \frac{w^2}{8}\\A=w*\frac{P-2.57w}{2}+0.3925w^2\\2A= Pw-2.57w^2+(0.785w^2)\\2A' = P-5.14w+1.57 w\\2A" =-5.14+1.57$

Hence we get maximum area when i derivative is 0

i.e. $P-5.14w+1.57 w=0\\3.57w =P\\w = \frac{P}{3.57} =0.2801P$

$l = \frac{P-2.57w}{2}\\l = 0.1401P$

Dimensions can be

$l=0.1401P\\w =0.2801P$

5 0

2 years ago

From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle

Mariulka [41]

Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒ $1\text{ minute } =\frac{1}{60}\text{ degree }$

$20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}$

$50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}$

By the below diagram,

$tan ( 12^{\circ} 50') = \frac{8.20}{y}$

$tan(12+\frac{5}{6})^{\circ}=\frac{8.20}{y}$

$tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}$

$\implies y=\frac{8.20}{tan (\frac{77}{6})^{\circ}}$

Now, again by the below diagram,

$tan (31^{\circ}20')=\frac{x}{y}$

$tan(31+\frac{1}{3})=\frac{x}{y}$

$\implies x=y\times tan(\frac{94}{3})=\frac{8.20}{tan (\frac{77}{6})^{\circ}}\times tan(\frac{94}{3})^{\circ}=21.9142943216\approx 21.91$

Hence, the height of the building = x + 8.20 = 30.11 meters (approx)

8 0

3 years ago

PLEASE HELP QUICK

son4ous [18]

A should be the correct answer

7 0

2 years ago

Read 2 more answers

Mrs. hunnycutt makes dog sweaters. Her profit each month is a function of the price she charges for each sweater. Her total prof

V125BC [204]

Answer

Step by step explanation

3 0

3 years ago

Mrs. White's students are making school spirit packs. They have 24 bumper stickers and 18 window clings. Every pack must have th

ExtremeBDS [4]

Answer:

6 packet.

Step-by-step explanation:

Given:

Mrs. White's students are making school spirit packs.

They have 24 bumper stickers and 18 window clings.

Every pack must have the same contents and there should be no leftover items.

Question asked:

What is the greatest number of packs they can make?

Solution:

To find the greatest number of packs could be made by 24 bumper stickers and 18 window clings by using same contents in each pack with no left over items, we will simply use Highest Common Factor.

Factor of 24 - 2, 3, 4, 6, 8, 12, 24

Factor of 18 - 2, 3, 6, 9, 18

Highest Common Factor is 6.

Thus, they can make 6 packet at most.

3 0

2 years ago