In rectangle ABCD, AB=8 units and BC=15 units. Find BD

Mathematics

2 answers:

Semmy [17]3 years ago

6 0

Answer:

BD = 17 units

Step-by-step explanation:

BD is the hypotenuse of right triangle BCD, so can be found using the Pythagorean theorem. The opposite sides of a rectangle are the same length, so DC = 8. The theorem tells us

... BD² = DC² +BC² = 8² +15² = 289

... BD = √289 = 17 . . . units

BabaBlast [244]3 years ago

5 0

Answer:

Step-by-step explanation:

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Anon25 [30]

Answer:

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2 years ago

Find the volume of a cube<br> whose surface area is 150<br> ft2?

Brrunno [24]

Given:

Surface area of cube = 150 ft²

To Find:

Volume of cube

Solution:

As here in Question we are given Surface area of cube is 150 sq. feet. So, firstly we have find the side of edge of cube. Let 'a' be the edge of the cube

We know that,

$\: \: \: \: \dashrightarrow \sf \: \: \: \: Surface \: area_{(Cube)} = 6a^2 \\ \\$

Substituting the required values,

$\: \: \: \: \dashrightarrow \sf \: \: \: \: 150 = 6a^2 \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: \frac{150}{6} = {a}^{2} \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: 25 = {a}^{2} \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: \sqrt{25} = a \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: { \underline{ \boxed{ \sf{ \pink{5 = a}}}} } \\ \\$

Edge of the cube is 5 feet

Now,

$\: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (edge)^3 \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (5)^3 \\ \\ \: \: \: \:\dashrightarrow \sf \: \: \: \: {\underline{\boxed{\sf{\pink{Volume =125 \: {ft}^{3}}}}}} \\ \\$