3 years ago

Find the surface area (the triangle are right triangles).

Mathematics

1 answer:

Igoryamba3 years ago

4 0

Answer:

67.5

Step-by-step explanation:

Well area of a triange is 1/2bh so we can find the side closest to us by doing

1/2(3x4) which is 12

the other side would be 1/2 (3x5) which is 7.5

the bottom side would be 1/2(8x4) so 16

and 1/2 (3x8) so 12

1/2 (8x5) so 20

add those together to get 67.5

Hope this helped ya!

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A roped-off area of width x is created around a 30- by 10-foot rectangular museum display of Native American artifacts. The comb

Monica [59]

Answer: $4x^{2}+80x-500=0$

Step-by-step explanation:

1. You know that:

- The roped-off area whose width is represented with <em>x,</em> it is created around a rectangular museum.

- The dimensions of the rectangular museum are: 30 ft by 10 ft.

- The combined area of the display and the roped-off area is 800 ft².

2. The area of the rectangular museum can be calculated with:

$A=l*w$

Where $l$ is the lenght and $w$ is the width.

You have that the lenght and the width in feet are:

$l=30\\w=10$

3. Let's call $x$ the width of the roped-off area. Then, the combined area is:

$A_c=l_c*w_c$

Where

$A_c=800$

$l_c=l+x+x=30+2x$

$w_c=w+x+x=10+2x$

4. Substitute values and simplify. Then:

$800=(30+2x)(10+2x)$

$800=300+60x+20x+4x^{2}\\4x^{2}+80x-500=0$

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3 years ago

katherine bought cosmetic items which cost $78.12 in total she gave $100 to the shop keeper how much does she receive as change?

Leviafan [203]

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An item is regularly priced at $83. It is now priced at a discount of 55% off the regular price.

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Answer:

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Step-by-step explanation:

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Answer:

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