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3 years ago

15

True or false? If you took a true "if-then" statement, inserted a not in each clause, and reversed the clauses, the new statemen

t would also be true.

1 answer:

damaskus [11]3 years ago

5 0

Answer:

The correct answer would be true. Reversing the statement clause and inserting a "not" in a if- then statement will also make the new statement true. For example, "If I eat this, then give me five dollars". The reverse would be " If I do not eat this, then do not give me five dollars". Both sentences mean the same.

Step-by-step explanation:

You might be interested in

The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of

Kay [80]

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of $a^{2} :b^{2}$

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

$\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }$

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50 $(13689 -234x+x^{2} )$ = $32x^{2}$

Distribute the left side

684450-11700x+ $50x^{2}$ = $32x^{2}$

Subtract both sides $32x^{2}$ and rewrite it $18x^{2} -11700x+684450=0$

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

$x^{2}$ -650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

5 0

3 years ago

-3 3/5 divided by -1/2

LUCKY_DIMON [66]

Answer:

36/5 or 7 1/5 or 7.2

Step-by-step explanation:

-3 3/5 = -18/5

-18/5 * -2 = 36/5

4 0

3 years ago

A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is

Ira Lisetskai [31]

The length of the rectangle is = 72 cm

The width of the rectangle is = 56 cm

Area of the rectangle is = $length*width$

= $72\times56=4032$ cm²

As given, the other rectangle has the same area as this one, but its width is 21 cm.

Let the length here be = x

$4032=x*21$

$x=\frac{4032}{21}=192$

Hence, length is 192 cm.

We can see that as width decreases, the length increases if area is constant and when length decreases then width increases if area is constant.

So, in the new rectangle,constant of variation=k is given by,

$\frac{192}{72}=\frac{8}{3}$ or $\frac{56}{21}=\frac{8}{3}$

Hence, the constant of variation is $\frac{8}{3}$

7 0

3 years ago

Which statements are true for this function and<br> graph? Select three options.

Anton [14]

Answer:

I need the function and graph to be able to answer this

Step-by-step explanation:

8 0

4 years ago

The volume of a sphere is 256/3π cm3.

slava [35]

the surface area of the sphere is π/4 cm^3

<h3>How to determine the surface area</h3>

It is important to know the formula for surface area and volume of a sphere

Surface area = $\frac{4\pi }{r^2}$

Volume = $\frac{4}{3} \pi r^3$

First, let's determine the value of radius, r

The value for volume was given as 256/3π cm3.

$\frac{256}{3} \pi = \frac{4}{3} \pi r^3$

Pi cancels out and we have cross multiply to get the radius

$256 * 3 = 4 * 3 r^3$

$12r^3 = 768$

Make r the subject of the formula

$r = \sqrt[3]{\frac{768}{12} }$

$r = \sqrt[3]{64}$

r = 4

Let's substitute to find the surface area

Surface area = $\frac{4\pi }{4^2}$

Surface area = π/4

Surface area = π/4 cm^3

Thus, the surface area of the sphere is π/4 cm^3

Learn more about a sphere here:

brainly.com/question/10171109

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4 0

2 years ago