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babunello [35]
4 years ago
15

Can the numbers 24,32,40 be the lengths of three sides of a right triangle?

Mathematics
1 answer:
Naddika [18.5K]4 years ago
5 0

Answer:

Yes

Step-by-step explanation:

using pythagorus theorum:   a^{2} + b^{2} = c^{2}

24^{2} +32^{2} =  1024+576

                        =   1600

40^{2} = 1600

thus, it can be concluded that these lengths can be the sides of a right-angled triangle.

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Is the ans i got correct?<br>the total surface area is 33.8cm² <br>​
ElenaW [278]

Given:

A prism with height 5 cm and equilateral triangular base with side 2 cm.

To find:

The total surface area of the prism.

Solution:

Area of an equilateral triangle is:

A_1=\dfrac{\sqrt{3}}{4}a^2

Where, a is the side length.

Putting a=2, we get

A_1=\dfrac{\sqrt{3}}{4}(2)^2

A_1=\dfrac{\sqrt{3}}{4}(4)

A_1=\sqrt{3}

A_1\approx \sqrt{3}

The base and top of the prism are congruent so their area must be equal.

The lateral surface area of the prism is:

LA=Ph

Where, P is the perimeter of the base and h is the height of the prism.

The lateral surface area of the prism is:

A_2=(2+2+2)5

A_2=(6)5

A_2=30

Now, the total surface area is the sum of areas of bases and lateral surface area.

A=2A_1+A_2

A=2(1.73)+30

A=3.46+30

A=33.46

Therefore, the total surface area is 33.46 cm².

8 0
3 years ago
Estimate the perimeter and the area of the shaded figure to the nearest whole number
ollegr [7]

Answer:

See below ~

Step-by-step explanation:

<u>Perimeter</u>

  • 2(6 + 8)
  • 2(14)
  • <u>28</u> units

<u>Area</u>

  • 2(4 x 2) + 2(8)
  • 4(8)
  • <u>32</u> square units
7 0
2 years ago
Select the correct way to read this number 68.018
Rasek [7]

Are there answers you can provide?

You read the number "sixty-eight and 18 thousandths" \


Hope that helps!

8 0
3 years ago
Please help solve the question in the image
____ [38]

Answer:

✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

Step-by-step explanation:

Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10

✔️Mean Annual rainfall for Albany (in.):

= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10

= 20.967

✔️Mean Annual rainfall for Zachary (in.):

= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10

= 25.153

✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

7 0
3 years ago
How many thousands are in 3.293
just olya [345]

??? what do u mean

like numbers in the thousands place is 3


8 0
3 years ago
Read 2 more answers
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