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3 years ago

Please help me with this work

Mathematics

1 answer:

Dahasolnce [82]3 years ago

6 0

Answer:

about 243.9 cm³
35828 4/7 cm² = 3 102/175 m²

Step-by-step explanation:

The 8-cm diameter sphere has a radius of 4 cm. The volume of it is given by ...

V = 4/3πr³ = 4/3π(4 cm)³ = 256/3π cm³

The 8-cm cube has a volume of ...

V = s³

V = (8 cm)³ = 512 cm³

The volume of the empty space is the difference of these volumes:

space = 512 cm³ -256/3π cm³ = 256(6 -π)/3 cm³

space ≈ 243.9 cm³

The area of a hemisphere is twice the area of a circle with the same radius. Then the area of the top and bottom of the birdbath will be 2+1 = 3 times the area of a circle with radius 30 cm.

top+bottom area = 3 × πr² = 3 × 22/7(30 cm)² = 8485 5/7 cm²

The lateral area of the cylinder is ...

LA = 2πrh

= 2(22/7)(30 cm)(145 cm) = 27342 6/7 cm²

Then the total surface area of the birdbath is ...

total area = top+bottom area + lateral area

total area = 8485 5/7 cm² +27342 6/7 cm² = 35828 4/7 cm²

= 3 102/175 m²

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3 years ago

Solve for the area using heron´s formula

Vadim26 [7]

9514 1404 393

Answer:

252.8 cm²

Step-by-step explanation:

The missing side of the right triangle can be found from the Pythagorean theorem:

s² = 20² -16² = 400 -256 = 144

s = 12 . . . . cm

The area of a right triangle is more easily found using the traditional area formula:

A = 1/2bh

A = 1/2(12 cm)(16 cm) = 96 cm² (left-side triangle)

The area of the triangle on the right can be found from Heron's formula. The semiperimeter is ...

s = (16 +20 +23)/2 = 29.5

The area is ...

A = √(29.5(29.5 -16)(29.5 -20)(29.5 -23)) = √(29.5·13.5·9.5·6.5)

A = √24591.9375 ≈ 156.818 . . . . . cm² (right-side triangle)

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What is the value of x in the triangle below

Musya8 [376]

Answer:

x = 71°

Step-by-step explanation:

The angles of any triangle will always amount to 180°.

Which means: (Angle of A) + (Angle of B) + (Angle of C) = 180°

Placing the known values into that equation will always let you know the third angle of any triangle.

(Angle of A) + (Angle of B) + (Angle of C) = 180°

(38°) + (71°) + (x) = 180°

109° + x = 180°

Solve for x by subtracting 109° from both sides

x = 180° - 109°

x = 71°

OR you can add the other two known angles 38° + 71° = 109°

This subtracted from the 180°

180° - 109° = 71°

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Please help me with this work​

Please help me with this work