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3 years ago

Which expression is equivalent to 36 + 24?

Mathematics

1 answer:

Kamila [148]3 years ago

5 0

Answer:

Step-by-step explanation:

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A solid right circular cone of diameter 14cm and height 8cm is melted to form a hollow sphere. If the external diameter of the s

pshichka [43]

Answer:

Step-by-step explanation:

Diameter of cone=14 cm

so, Radius of cone= 7cm

Height of cone= 8cm

∴ Volume of cone= 1/3*pi*r^2*h

=1/3*pi*49*8 cm^3

In Sphere, External Radius R=5cm

Let, Internal Radius = r

Volume of Sphere = External Volume- Internal Volume

= 4/3*pi*R^3-4/3*pi*r^3

=4/3*pi[R^3-r^3]

=4/3*pi[5^3-r^3]

But During Conversion Volume Remains Same

So, Volume of Sphere=Volume of Cone

4/3*pi[125-r^3]= 1/3*pi*49*8

4[125-r^3]=49*8

[125-r^3]=49*2

r^3=125-98

r^3=27

so, r =3 cm

Internal Radius= 3cm

So, Internal Diameter=3*2= 6cm

PLS MARK BRAINLIEST

5 0

3 years ago

Don's Car Rentals charges a flat rate of $35 per day plus $2 per mile. If the number of miles is represented by m, what is the a

Mumz [18]

Given that, Don's Car Rentals charges a flat rate of $35 per day plus $2 per mile.

The number of miles is represented by m.

For 1 mile the charge is $2. So, for m miles the charges will be 2m.

Since, Don's Car Rentals charges a flat rate of $35 per day .

So, total charge must be the sum of 35 and 2m.

Hence, the algebraic expression representing the overall rate for the day is

35 + 2m.

Hope this helps you.

6 0

3 years ago

What is 56/19 as a mixed number

pashok25 [27]

The answer is 2 18/19

6 0

3 years ago

Read 2 more answers

Nagrom the Dwarf Queen desires a tunnel through the mountain to connect her two wealthiest cities, Yram and Haras, which lie on

ladessa [460]

This question requires us to use the cosine rule:

a^2 = b^2 + c^2 - 2bc*cos(A),

where A is the included angle between sides b and c, and a is the side of the triangle opposite to the angle.

In the context of the question, a is the length of the tunnel (let's call this t), b is 6 km, c is 7 km and A is 29°.

Given the values in the question and those we defined, we can rewrite the equation for the cosine rule as:

t^2 = 6^2 + 7^2 - 2(6)(7)cos(29)

Now, evaluating this we get:

t^2 = 36 + 49 - 84cos(29)

t^2 = 85 - 84cos(29)

t = sq.root (85 - 84cos(29))

= 3.40 km (rounded to two decimal places)

6 0

4 years ago

Read 2 more answers

What is the value of x?

Tanzania [10]

Answer:

Step-by-step explanation:

By the property of intersecting chords inside the circle, we have:

$(5x - 7) \degree = \frac{1}{2} (119 \degree + 27 \degree) \\ \\ (5x - 7) \degree = \frac{1}{2} \times 146 \degree\\ \\ (5x - 7) \degree = 73\degree \\ \\ 5x - 7 = 73 \\ \\ 5x = 73 + 7 \\ \\ 5x = 80 \\ \\ x = \frac{80}{5} \\ \\ x = 16$

5 0

3 years ago