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3 years ago

Geometry Values of a Kite

Mathematics

1 answer:

Evgen [1.6K]3 years ago

8 0

Answer:

x=7

y=18

The length of each of the two shorter sides is 14.

The length of each of the two longer sides is 19.

Step-by-step explanation:

2x+5 = x+12 and y-4 = x+5

Solve for x first

2x+5-5 = x+12-5 Subtract 5 from both sides to eliminate it.

2x-x = x-x+7 Subtract x from both sides to eliminate it.

x=7 Now, substitute 7 for x in y-4 = x+5 to solve for y.

y-4 = (7)+5

y-4 = 12

y-4+4 = 12+4 Add 4 to both sides to eliminate it.

y = 18

Finally, we can substitute 7 for x and 18 for y in all equations to see the lengths of each side.

(18)-4=14 The length of each of the two shorter sides is 14.

2(7)+5=19 The length of each of the two longer sides is 19.

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A can in the shape of a right circular cylinder is required to have a volume of 500 cubic centimeters. The top and bottom are ma

borishaifa [10]

Answer:

The answer to the question is

The total cost C of the material as a function of the radius r of the cylinder is

0.6912·r² + 800/r Dollars.

Step-by-step explanation:

To solve the question, we note that

The area of the top and bottom combined = 2·π·r²

The area of the sides = 2·π·r·h

and the volume = πr²h = 500 cm²

Therefore height = 500/(πr²)

Substituting the value of h into the area of the side we have

Area of the side = 2πr·500/(πr²) = 1000/r

Therefore total area of can = Area of top + Area of bottom + Area of side

Whereby the cost of the can = 0.11×Area of top +0.11×Area of bottom +0.8×Area of side

Which is equal to

0.11×2×π×r²+ 0.8×1000/r = 0.6912·r² + 800/r

The cost of the can is $(0.6912·r² + 800/r)

3 0

3 years ago

The planner needs a clearance of 9 feet under the arch. Has the planner met the minimum height?

Assoli18 [71]

Answer:

Yes,planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet

Step-by-step explanation:

The question is incomplete as all the details have not been given in the question.I have attached the complete question and its options at the bottom. Consult in for better understanding.

As we can see that at the mid value, for x=4, the value of f(x)=9.4

It means that the maximum height occurs at mid of the arc where it is height is 9.6 feet above the ground.

It means that the planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet

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3 years ago

Which of these is the algebraic expression for the verbal expression "ten times the difference of a number and twelve?"

fredd [130]

The answer is, A. 10(x - 12)

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3 years ago

Lucy fills a bathroom sink with water. Is the amount of water more than one liter, about one liter, or less than one liter . Exp

seropon [69]

More than one liter because it only depends how bog your sink is...I believe it is more than one liter

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3 years ago

(THIS IS WORTH MANY POINTS, AND I’LL GIVE BRAINLIEST)

olganol [36]

9514 1404 393

Answer:

perimeter ratio: 4 : 3
area ratio: 16 : 9

Step-by-step explanation:

The ratio of perimeters is the ratio of corresponding sides.

first : second = 8 : 6 = 4 : 3 . . . ratio of perimeters

The ratio of areas is the square of the ratio of linear dimensions.

first : second = 4² : 3² = 16 : 9 . . . ratio of areas

5 0

2 years ago

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