4 years ago

A right isosceles triangle has an area of 65cm^2. What's the length of each leg to the nearest tenth of a cm.

1 answer:

5 0

Well, we know that the legs of this triangle are equal, and we know
that the area of any triangle is (1/2)(base)(height) .

Since this is a right triangle, we can set it down on one leg, and then
the other leg will be the height. Then ...

Area = (1/2) (base) (height)

= (1/2) (leg) (leg)

65 cm² = (1/2) (leg)²

Multiply each side by 2 : 130 cm² = (leg)²

Take the square root of each side: leg = √130 cm² = 11.402 cm

rounded to the nearest tenth: 11.4 cm

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A triangle with side lengths 13, 30, and 42 is a right triangle. True or False?

kaheart [24]

Answer:

False

Step-by-step explanation:

$42^2-30^2-13^2=695$

695 ≠ 0

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4 years ago

Giselle works as a carpenter and as a blacksmith. She earns $ 2 0 $20dollar sign, 20 per hour as a carpenter and $ 2 5 $25dollar

dem82 [27]

She worked as a carpenter for 12 hours and as a blacksmith for 18 hours.

Assuming you mean she earned $20 as a carpenter and $25 as a blacksmith per hour, with a total of 30 hours for $690,
let c represent carpenter hours and b for blacksmith hours.

20c + 25b = 690
c + b = 30
Subtract b from each side so that c = 30 - b
Plug this value into the first equation

20(30 - b) + 25b = 690
600 - 20b + 25b = 690
600 + 5b = 690
5b = 90
b = 18

To find c, plug this value of b into the other equation
c + 18 = 30
c = 12

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3 years ago

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A pet store has 1118 fish in 43 different fish tanks each fish tank holds the same number of fish. how many fish are in each tan

3241004551 [841]

Your answer would be 26

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3 years ago

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A cube's side measures 6xy inches whet is the volume

liubo4ka [24]

For a cube, $V = s^3.$

The volume is the cube of the side length.

$V = s^3$

$V = (6x^6y^8)^3$

To raise a product to an exponent, raise each factor to the exponent.

$V = (6^3) \times (x^6)^3 \times (y^8)^3$

To raise a power to a power, multiply powers.

$V = 216x^{18}y^{24}$

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4 years ago

The number of sandwiches needed for a family reunion is 15 less than the number of sandwiches needed for a company picnic the nu

Alecsey [184]

You need 20 sandwiches for a company picnic

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4 years ago