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3 years ago

PLEASE HELP WILL MARK AS BRAINLIEST

Mathematics

1 answer:

AveGali [126]3 years ago

5 0

Answer:

$\boxed{\bold{\huge{\boxed{Area\ of\ Trapezium = 150\ cm\²}}}}$

Step-by-step explanation:

Using Pythagorean Theorem first to find EC

$\sf CB^2 = EB^2+EC^2\\Where \ CB = 13 \ and \ EB = 5 \\13^2 = 5^2 + EC^2 \\169 - 25 = EC^2 \\EC^2 = 144\\Taking \ sqrt \ on \ both \ sides\\EC = 12 \ cm$

Given that:

AE = EC

AE = 12 cm

Now,

AB = AE + EB

AB = 12 + 5

AB = 17 cm

ABCD is a trapezoid / trapezium

So,

Area of Trapezium = $\sf \frac{AB+DC}{2} (EC)$

Where AB = 17 , DC = 8 and EC = 12

Area of Trapezium = $\sf \frac{17+8}{2} ( 12)$

Area of Trapezium = (25)(6)

Area of Trapezium = 150 cm²

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Step-by-step explanation:

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Lorico [155]

Answer:

1) $2x^{2}+13$

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Step-by-step explanation:

1. You must apply the Distributive property as following:

$(-5x^2-2x+4)+(8x^2-x-1)-(x^{2}-5x+2x-10)$

2. Now, you must distribute the negative sign, then you have:

$-5x^2-2x+4+8x^2-x-1-x^{2}+5x-2x+10$

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4 0

3 years ago

Read 2 more answers

Sarah started her day with a fullback apples up and make an Apple Pie when she's three apples she knows that she has 12 apples w

lisov135 [29]

The question is a little hard to understand... let me see what i can do. I'll edit what i figure out on here. :) (PS) Did you reword the question? Do you think you could double check and make sure this is what the question looks like?

Started her day with a full bag of apples (?)
She needs 3 for an apple pie
She had 12 total (?)

Or maybe she needs 12 for a pie and now she has 3?

3 0

3 years ago

Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.

tankabanditka [31]

Answer:

lateral area ≈ 668 m²

surface area ≈ 740 m²

Step-by-step explanation:

The lateral area of a triangular prism = perimeter of the base × height of the prism

lateral area = ph

where

p = perimeter of the base

h = height or altitude

Base edges are 8m , 9m and 12.04m and height is 23 m.

lateral area = ph

lateral area = (8 + 9 + 12.04) × 23

lateral area = 29.04 × 23

lateral area = 667.92 m²

lateral area ≈ 668 m²

Surface area

surface area = lateral area + 2B

where

B = area of it triangular bases

surface area = lateral area + 2B

surface area = 667.92 + 2(1/2 × base × height)

surface area = 667.92 + 2(1/2 × 8 × 9)

surface area = 667.92 + 2(1/2 × 72)

surface area = 667.92 + 2(36)

surface area = 667.92 + 72

surface area = 739.92

surface area ≈ 740 m²

8 0

3 years ago