A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An oblique rectangular prism has base dimensions of 4 inches by 9 inches and a height of 5 inches. Are the volumes the same?

Answers

Answer 1
Answer: a rectangular right prism area=legnth times width times height or base area times height

base=3 b y12, area=3 times 12=36
height=5
36 times 5=180

an oblique rectangular prism volume is the same as the right rectangular prism formula so
4 times 9 times 5=180

180=180
the volumes are the same

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Express the ratio 48:44 in its simplest form

Answers

Answer:

Step-by-step explanation:

48:44= 12:11

Answer : 48:11 = 12:11

Which of the following laws is described in the situation below?If segment AB measures 4 inches, then segment BC measures 5 inches.
If segment BC measures 5 inches, then segment CD measures 4 inches.
You can conclude that if segment AB measures 4 inches, then segment CD measures 4 inches.

Law of Detachment
or
Law of Syllogism

Answers

I think that it is law of detachment but I'm not 100%

the answer is the answer.

3 3\10 divided by 1 4\7

Answers

Answer:

First, let's convert the mixed numbers into improper fractions:

3 3/10 = (3 * 10 + 3)/10 = 33/10

1 4/7 = (1 * 7 + 4)/7 = 11/7

Now, we can divide the two fractions:

33/10 ÷ 11/7

To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 11/7 is 7/11.

So, the division becomes:

33/10 * 7/11

Next, multiply the numerators (top numbers) together and the denominators (bottom numbers) together:

(33 * 7) / (10 * 11) = 231/110

Finally, simplify the fraction, if possible. In this case, we can divide both the numerator and denominator by their greatest common divisor, which is 11:

231/110 = (231 ÷ 11)/(110 ÷ 11) = 21/10

Therefore, 3 3/10 divided by 1 4/7 is equal to 21/10.

Which polynomial can be simplified to a difference of squares? 10a2 + 3a – 3a – 16 16a2 – 4a + 4a – 1 25a2 + 6a – 6a + 36 24a2 – 9a + 9a + 4

Answers

16a² - 4a + 4a - 1 can be simplified to a difference of squares:

16a² - 4a + 4a - 1 =
16a
² - 1 =
(4a)² - 1² = 
(4a-1)(4a+1)

Answer:

2.16a^2-4a+4a-1

Step-by-step explanation:

We have to find the polynomial can be simplified to a difference of squares.

1.10a^2+3a-3a-16

Combine like terms

10a^2-16

10 in 10a^2 is not a perfect square number  because when a number end with one zero then the number is not perfect square number.

Therefore, it can not be simplified to a difference of squares.

2.16a^2-4a+4a-1

16a^2-1

Combine like terms

(4a)^2-(1)^2

Hence, the polynomial can be simplified as difference of squares.

3.25a^2+6a-6a+36

Combine like terms

25a^2+36

(5a)^2+(6)^2

Hence, the polynomial can not be simplified as  difference of squares because the polynomial can be  simplified as sum of squares.

4.24a^2-9a+9a+4

Combine like terms

24a^2+4

24a^2+(2)^2

24=2* 2* 3* 2

24 is not  a perfect square number because  when factorize 24 then 2 and 3 are not paired.

Hence, the polynomial can not be simplified as difference of squares.

Anyone know this?????

Answers

Answer:

WZX=57

Step-by-step explanation:

90-33 = 57

You don't have to use the equation unless you want to check yourself.

A map has a scale of 1 cm: 50 m.The distance between 2 shops is 4.5 cm.
What is the actual distance between the shops?​

Answers

Final answer:

The actual distance between the two shops is 225 meters.

Explanation:

Understanding map scales is crucial for accurate distance measurement between locations depicted on maps. A scale of 1 cm:50 m signifies that each centimeter on the map corresponds to a real-world distance of 50 meters. This ratio is the key to translating map measurements into actual distances.

In the given scenario, the distance between two shops on the map is shown as 4.5 centimeters. To determine the actual distance, we use the scale factor. By multiplying the map distance by the scale factor of 50 m/cm, we obtain the real distance:

Actual distance = Map distance × Scale factor

Actual distance = 4.5 cm × 50 m/cm

Actual distance = 225 meters

Therefore, the actual distance between the two shops is 225 meters.

Map scales play a pivotal role in representing geographical features accurately. They allow cartographers to compress vast areas onto manageable sheets while retaining relative distances. The choice of scale depends on the map's purpose: a large-scale map provides intricate details of a small area, while a small-scale map gives an overview of a larger region.

In modern times, technology has redefined mapping through digital maps and GPS navigation. These tools can dynamically adjust scales based on the user's location, ensuring real-time accuracy. They have revolutionized how we interact with maps, making navigation more convenient and precise.

Learn more about Distance

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Answer:

225 m

Step-by-step explanation:

50 x 4.5