Find the area of the figure shown.

Answers

Answer 1

Answer: The '4' marked in the cut-out must be its width, because it can't be the height ... the height of the cut-out must be 3. / / / The area of the entire big rectangle is 12 x 14 = 168. The area of the little cut-out is 4 x 3 = 12. The area left is 168 - 12 = 154 ./ / / By the way ... if you're not getting many answers, it's because your drawings are unreadable. Put away the big orange marker and use a ballpoint pen instead.

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The formula c=5(f-32) ➗ 9 gives the Celsius temperature in c degrees for a Fahrenheit temperature of f degrees. What is the Celsius temperature for a Fahrenheit temperature of 122 degrees?

Answers

Answer : The Celsius temperature is, 50 degree.

Step-by-step explanation :

Formula used :

$c=(5)/(9)* (f-32)$

where,

c = Celsius temperature

f = Fahrenheit temperature

As we are given that the Fahrenheit temperature is 122 degree. Now we have to determine the Celsius temperature.

Now put the value of Fahrenheit temperature in above formula, we get:

$c=(5)/(9)* (122-32)$

$c=(5)/(9)* (90)$

$c=50$

Thus, the Celsius temperature is, 50 degree.

The required Celsius temperature for a Fahrenheit temperature of 122 degrees is 50 degrees Celsius.

To find the Celsius temperature for a Fahrenheit temperature of 122 degrees, we can use the given formula: c = 5(f - 32) / 9.

Substituting the Fahrenheit temperature of 122 degrees into the formula, we have:

c = 5(122 - 32) / 9.

Now we can simplify the expression:

c = 5(90) / 9,

c = 450 / 9,

c = 50.

Therefore, the Celsius temperature for a Fahrenheit temperature of 122 degrees is 50 degrees Celsius.

Learn more about temperature here:

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In this diagram, what is ac?

Answers

Answer:

AC = 10 units .

Step-by-step explanation:

Given : Triangle ABC.

To find : What is AC.

Solution : We have given Triangle ABC.

Triangle BCD is right angle triangle .

By the Pythagorean theorem :

$(BC)^(2) = (BD)^(2) + (CD)^(2)$ .

Plug the values .

$(17)^(2) = (BD)^(2) + (8)^(2)$ .

289 = $(BD)^(2) + 64$ .

On subtractin g 64 from both sides.

289 - 64 = $(BD)^(2)$ .

225 = $(BD)^(2)$ .

Taking square root .

BD = $√(225)$ .

BD 15 units .

AB = AD+ BD

21 = AD + 15

AD = 21 -15

AD = 6 units .

Now , Triangle ACD is right angle triangle .

$(AC)^(2) = (6)^(2) + (8)^(2)$ .

$(AC)^(2) = 36 +64$ .

$(AC)^(2) = 100$ .

Taking square root

AC = 10 units .

Therefore, AC = 10 units .

$\sqrt{17 {}^(2) { - 8}^(2) } = 15 \n 21 - 15 = 6 \n \sqrt{8 { }^(2) } + √(6 ) {}^(2) = 10 \n c.10$

Compare: 643,251; 633512; 633,893. The answer is 633,511

Answers

643,251> 633,893>633,512

Which of these rectangular prisms has a base area of 40cm2 and a volume of 160cm3?A. Height = 2cm, base length = 10cm, base width = 4cm
B. Height = 4cm, base length = 4cm, base width = 4cm
C. Height = 4cm, base length = 10cm, base width = 4cm
D. Height = 10cm, base length = 4cm, base width = 4cm

Answers

Answer:

C. Height = 4cm, base length = 10cm, base width = 4cm

Step-by-step explanation:

A rectangular prism has

1) Base area $=\text{Base Length}* \text{Base Width}$

2) Volume $= \text{Base area}* \text{Height}$

Consider all options:

$\text{Base area}=10* 4=40\ cm^2 \n \n\text{Volume}= 40* 2=80\ cm^3\neq 160\ cm^3$

This option is false.

$\text{Base area}=4* 4=16\ cm^2\neq 40\ cm^2 \n \n\text{Volume}= 16* 4=64\ cm^3\neq 160\ cm^3$

This option is false.

$\text{Base area}=10* 4=40\ cm^2 \n \n\text{Volume}= 40* 4=160\ cm^3$

This option is true.

$\text{Base area}=4* 4=16\ cm^2 \neq 40\ cm^2 \n \n\text{Volume}= 16* 10=160\ cm^3$

This option is false.

Answer:

The rectangular prism has " Height = 4 cm, base length = 10 cm, base width 4 cm " ⇒ C

Step-by-step explanation:

The formula of the volume of a rectangular prism is V = l × w × h , where l is its length, w is its width and h is its height

∵ The area of the base of the prism is 40 cm²

∵ The its base is shaped a rectangle

∵ Area of a rectangle = l × w

∴ l × w = 40 cm²

∵ The volume of the prism is 160 cm³

- Substitute l × w and the volume in the formula of the volume

∴ 160 = 40 × h

- Divide both sides by 40

∴ 4 = h

∴ The length of the height of the prism is 4 cm

- Lets find which two numbers give a product of 40 to find l and w

∵ 40 = 10 × 4

∴ l = 10 cm and w = 4 cm

The rectangular prism has " Height = 4 cm, base length = 10 cm, base width 4 cm"

How do you put 36/10 into a decimal?

Answers

30/10 = 3
6/10 = .6

36/10 = 3.6

3.6 is your anwser
enderman0183

- Students at a school went on a trip. The given equation models the total costof the trip, where x is the number of students who went on the trip.
18x = 900
How many students went on the trip?

Answers

Answer:

Step-by-step explanation:

18x=900

divide 900 by 18 and you get x which equals 50

you can check your answer by multiplying 18x50=900