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3 years ago

ABCD is a rectangle. What is the value of x?

Mathematics

2 answers:

ankoles [38]3 years ago

7 0

Answer:

Step-by-step explanation:

Use the pythagorean theorem

a² + b² = c²

a² + 63² = 65²

a² + 3969 = 4225

a² = 256

a = 16

x = 16 meters

baherus [9]3 years ago

5 0

Answer:

B. 16 meters

Step-by-step explanation:

Use Pythagorean Theorem to find the value of x

63² + x² = 65² Simplify

3969 + x² = 4225

-3969 - 3969 Subtract 3969 from both sides

x² = 256 Take the square root of both sides

x = 16

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Answer:

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Step-by-step explanation:

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2 years ago

A sphere is just enclosed inside a right circular cylinder. If the volume of the sphere is 140 cm3, find the volume of the gap b

alexgriva [62]

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Find Radius :
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$\text {Volume of a sphere =} \dfrac{4}{3} \pi r^3$

$\dfrac{4}{3} \pi r^3 = 140$

$\pi r^3 = 140 \times \dfrac{3}{4}$

$\pi r^3 = 105$

$r^3 = \dfrac{105}{ \pi}$

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Find volume of the cylinder :
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$\text {Volume of the cylinder = } \pi r^2h$

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Find volume of the gap :
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$\text {Volume of gap = } 209.77 - 140$

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$\bf \text {Answer : } 69.77 \cm^3$
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4 years ago

Willie and Emily each purchase one raffle ticket. If a total of seven raffle tickets are sold, what is the probability that Will

Nimfa-mama [501]

1/42

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Finally, multiply the two probabilities together to find the probability that they will both happen together. To multiply fractions, multiply the numerators together and multiply the denominators together. This leaves us with (1 * 1) / (7 * 6), which is easy to simplify to 1/42, which is the final probability.

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3 years ago

Read 2 more answers

ABCD is a rectangle ,its diagonals meet at O.If AO = 5x+1 and BO = 4x+9,find the length of the diagonals .(lengths in cm).

Sergeu [11.5K]

Answer:

82 cm

Step-by-step explanation:

In rectangles diagonals are equal and bisect each other

AO = BO

5x + 1 = 4x + 9

Subtract 1 from both sides

5x = 4x + 9 -1

5x = 4x + 8

Subtract 4x from both the sides

5x - 4x = 8

x = 8

AO = 5x + 1

= 5*8 +1

= 40 + 1

AO= 41 cm

Diagonal = 2*41 = 82 cm

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