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Shalnov [3]
3 years ago
8

3. Use De Morgan's laws to write an equivalent statement for the given sentence. If Ashley buys a house, then she will not buy a

new car or she will look for a second job. Which statement is equivalent to the given sentence?
A. If Ashley buys a house, then it is false that she will buy a new car or she will not look for a second job.


B. If Ashley buys a house, then it is false that she will buy a new car and she will not look for a second job.

C. If Ashley does not buy a house, then it is false that she will buy a new car and she will no look for a second job.

D. If Ashley does not buy a house, then it is false that she will buy a new car or she will not look for a second job.​
Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0
It’s A I just took the test
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Which of these number sentences is not true
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4,ooo,ooo mm equal 4km

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If the length of the minute hand of the clock in London commonly known as “Big Ben” is 11.25’ from the center of the clock to th
NeTakaya
A whole hour or revolution is 60 minutes and 360° so the area of a sector is:

A/πr^2=α/360

A=απr^2/360...now we need to find the angle  α/360=5/60, α=30° so:

A=30πr^2/360

A=πr^2/12 and r=11.25ft so

A=11.25^2*π/12

A≈33.13 ft^2
6 0
3 years ago
1. A circular swimming pool has a diameter of 60 feet, and is surrounded by a concrete sidewalk that is 5 feet wide. What is the
Ivenika [448]
We first calculate the area of the entire pool and the side walk.

Given that the pool has a diameter of 60 feet and that the side walk surrounds the pool with a width of 5 feet. This means that the diameter of the entire pool and the side walk is 60 + 5 + 5 = 70 feet and the radius is 70 / 2 = 35 feet

Thus the area of the entire pool and the side walk is obtained as follows:

Area=\pi r^2 \\  \\ =\pi(35)^2=1,225\pi\ square\ feet

Given that the pool has a diameter of 60 feet, this means that the radius of the pool is 30 feet.

Thus the area of the pool is given by:

Area_{pool}=\pi r^2 \\  \\ =\pi(30)^2=900\pi\ square\ feet

Therefore, the area of the sidewark is the area of the entire pool and side walk minus the area of the pool, this is given by:

Area_{side walk}=1,225\pi-900\pi \\ \\ =325\pi=1,021 \ square\ feet.
6 0
3 years ago
A bike wheel is shown. Chords I J and L K intersect at point M. The length of I M is 16 centimeters, the length of M J is 7 cent
levacccp [35]

Answer:

The diameter of the wheel is 32 centimeters

Step-by-step explanation:

we know that

The <u><em>intersecting chords theorem</em></u> states that the products of the lengths of the line segments on each chord are equal.

so

In this problem

(LM)(MK)=(IM)(MJ)

substitute the given values

(4)(x)=(16)(7)

solve for x

x=16(7)/4\\x=28\ cm

Remember that

LK goes through the center of the wheel

That means----> LK is a diameter

LK=4+x\\LK=4+28=32\ cm

therefore

The diameter of the wheel is 32 centimeters

3 0
4 years ago
Read 2 more answers
What's the equation of a line that passes through point (–1, 3) with a slope of 1?
PilotLPTM [1.2K]

Answer:

equation is y = x+4

Step-by-step explanation:

m = 1

y = mx + b

3 = 1*(-1)+b

3 = -1+b

b = 4

so

again

y = mx+b

y = 1x +4

so y = x+4

7 0
3 years ago
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