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3 years ago

5.

Mathematics

1 answer:

Simora [160]3 years ago

4 0

A. Yes because -2(2-4) does equals =4
B. Yes because 26/2 does equals = 13
C. No because -3.8(2) equals -7.6 and not -7.4
D. No because 4(2-1)-3(2-2) equals 4 and not -8

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The lenght of a rectangle is 2 units more than the width. The area of the rectangle is 48 units. What is the length, in units, o

LenKa [72]

Answer:

The length of this rectangle is 6 units.

Step-by-step explanation:

Let the width of the rectangle be x.

x • (x+2) = 48

x^2+2x=48

x^2+2x-48=0

x^2 - 6x + 8x - 48

x(x-6) 8(x-6)

(x+8)(x-6)

x=-8,6

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3 years ago

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Juliette made cookies for a bake sale and wants to package the same number of cookies together. If she makes 16 chocolate chip c

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Answer:

8 cookies

Step-by-step explanation:

We are asked in the above question to find the most number of cookies that would be in the bag.

We solve the above question using the Greatest Common Factor method

We find the factors of 16, 24, 32

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 32 are: 1, 2, 4, 8, 16, 32

Then the greatest common factor is 8.

Therefore, the most number of each type of cookie that will be in the bag is 8 cookies

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3 years ago

In the diagram, triangle GEF and triangle HEF are congruent. What is the value of x?

Harrizon [31]

2(x+2) = 60
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The correct answer is C

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3 years ago

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Eric is adding water to a 60

Archy [21]

Answer:

After 2.5 minutes the pool will have 27 gallons of water.

Step-by-step explanation:

The pool has already 12 gallons of water and Eric wants to fill it to at least 27 gallons.

The water is flowing at a rate of 6 gallons per minute.

Let, after t minutes the pool will have at least 27 gallons of water.

Therefore, we can write the equation as

27 = 12 + 6t

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3 years ago

A ladder 25 feet long is leaning againstthe wall of a house. The base of the ladder ispulled away from the wall at a rate of 2 f

WITCHER [35]

Answer: a) -7/12 ft/s, -20 ft/s, -7 ft/s

b) 527/24 Ft²/s

c) 2/25 rad/sec

Step-by-step explanation:

a) b=7 ; a^2+b^2 = 25^2

a^2+b^2 = 625

Differentiate w.r.t = 2a (da/dt) + 2b ( db/dt) = 0

$b(db/dt) = -a(da/dt)$

As found from above put a=24 b=7,15 and 24. You will get the reuqired answer.

b) Area of the triangle = 1/2 * b*h

differentiate wrt to time leads to the following relation:

$2dA/dt= h(db/dt)+b(dh/dt) \\dA/dt=24-49/24 = 527/24 Ft^2/sec$

c) sin (Θ) = b/25

differentiate it again to give

$cos(0.284)(d\theta/dt) = (1/25) (db/dt) \\=2/25 rad/sec$

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3 years ago