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3 years ago

BRAINLIESTT ASAP! PLEASE HELP ME :)

1 answer:

3 0

Let's say we placed dominoes close together such that they only fell over one way: to the right hand side. Let's call the dominoes A and B.

Domino A is to the left of domino B. If we push over domino A, then it will hit domino B to cause it to fall over as well. We have a mini chain reaction of sorts. The fall of A triggers the fall of B, but not the other way around.

For this problem, we can think of domino A as "Jillian gets a raise" and domino B as "she will buy a new car". The raise causes her to get a new car, but not vice versa.

Since we're told in the last sentence she definitely got the raise, this must mean she will definitely get the new car.

In terms of symbols, the law of detachment is stated as

If P, then Q
P is true
Therefore Q is true

Side note: some books might use the term "modus ponens" instead of "law of detachment". They're the same thing.

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The sixth grade art students are making a mosaic using tiles in the shape of triangles.Each tile Hans leg measures of 7cm and 4c

Serga [27]

Answer:

1,176 square centimeters

Step-by-step explanation:

The computation of the area of the mosaic is shown below:

As we know that

The Area of the triangle is

= 1 ÷ 2 × base × height

= 1 ÷ 2 × 7 × 4

= 14

Now 1 tile would be 14 square centimeters

And, there are 84 tiles in the mosaic

So, the total area is

= 84 × 14

= 1,176 square centimeters

6 0

3 years ago

Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP

-Dominant- [34]

Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

The sphere is inside the cylinder.

Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

That is h = 2d. From the above option, we know that h = d.

So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

From option A, we have h = d.

Substitute d = 2r, we get

⇒ h = 2r

Divide by 2 on both sides, we get

$$\Rightarrow \frac{h}{2}=r$

Therefore, it is true.

Option D: The diameter of the sphere is equal to the radius of the cylinder.

It is not true, because diameters of both cylinder and sphere are equal.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Radius of cylinder and sphere = r

Height of cylinder h = 2r (by option C)

Volume of cylinder = Volume of sphere

$$\Rightarrow \pi r^2 h = \frac{4}{3} \pi r^3$ (formula)

$$\Rightarrow \pi r^2 (2r) = \frac{2\times2}{3} \pi r^3$

$$\Rightarrow 2 \pi r^3= \frac{2}{3} \times 2\pi r^3$

Hence it is true.

Option A, option C and option E are true.

6 0

4 years ago

Read 2 more answers

Which relationships describe angles 1 and 2?

klasskru [66]

Answer:

picture?

Step-by-step explanation:

7 0

3 years ago

7.) A plane was flying at an altitude of 35,000 feet. It descended 6,000 feet to avoid some

worty [1.4K]

35,000 ft - 6,000 ft = 29,000 ft

4 0

2 years ago

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shutvik [7]

X is less than or equal to -1

6 0

3 years ago