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3 years ago

15 1/4 acres of land are to be divided into lots of at least 2/3 acres each

Mathematics

1 answer:

cupoosta [38]3 years ago

7 0

(15 1/4) / (2/3) =
61/4 * 3/2 =
183/8 =
22.875.....maximum number is 22

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Which expression is equivalent to x^2-10x+24

Brut [27]

Answer:

(x-4)(x-6)

Step-by-step explanation:

By factorization, x^2-10x+24 can be written in the form (x-4)(x-6). Thus the roots of the quadratic equation are x= 4 and 6 respectively.

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3 years ago

1. How many favorable outcomes are expressed in the<br> probability ?<br> 7/9

Mnenie [13.5K]

Answer:

Step-by-step explanation:

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3 years ago

Goerge has a skateboarding dog named bruno. Bruno's trip down the sidewalk time: 0,1,2,3. Distance ft: 0,3,6,9, what us the rate

amid [387]

(0,0)(1,3)
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3 years ago

A hot-air balloon is 160 ftabove the ground when a motorcycle (traveling in a straight line on a horizontal road) passes dire

Charra [1.4K]

Answer:

73.77 ft/s

Step-by-step explanation:

Let's imagine this situation as a right triangle where the distance between the two points is the hypotenuse.

-Applying Pythagoras theorem:

$z^2=x^2+y^2\\\\z=\sqrt{x^2+y^2}\\\\x=dx*t+x_i, x_i=0\\\\y=dy*t+y_i\\\\y_i=160\ ft$

#Take the derivative of the first equation and solve for $dz$ :

$d(z^2=x^2+y^2)\\\\2z*dz=2x*dx+2y*dy\\\\dz=\frac{x*dx+y*dy}{z}\\\\dz=\frac{x*dx+y*dy}{\sqrt{x^2+y^2}}\\\\\\dz=\frac{dx^2*t+dy(dy*t+160)}{\sqrt{(dx*t)^2+(dy*t)}}$

#We then substitute the values given in the question to solve for $dz$ :

$dz=\frac{7*66^2+14(14*7+160)}{\sqrt{(66*7)^2+7*14+160}}\\\\=73.78$

Hence, the rate of change of the distance between the motorcycle and the balloon 7 seconds later is 73.77 ft/s

3 0

3 years ago

Geometry...................

m_a_m_a [10]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Number of employees = 192

See the table

Process

a) To solve this question, consider only the employees that prefer a jacket

Male 77

Female +35

112 employees prefer a jacket

- Calculate the probability

P = 112 / 192

P = 0.58

b) Female and prefers a jacket

P = (54 /192)(35/192)

P = (0.28)(0.18)

P = 0.05

8 0

3 years ago