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vladimir2022 [97]
3 years ago
7

Plz help me with this

Mathematics
1 answer:
Vanyuwa [196]3 years ago
4 0

Answer:  x = 4

<u>Step-by-step explanation:</u>

6ˣ = 1296

6ˣ = 6⁴

Since they have the same base, set the exponents equal to each other:

x = 4

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A sphere has a diameter of 0.926 inch.
frosja888 [35]

Answer:

The volume of the sphere is V=0.416 \:in^3.

Step-by-step explanation:

The volume enclosed by a sphere is given by the formula

                                                 V=\frac{4}{3}\pi  r^3

Where r is the radius of the sphere.

The diameter of a sphere is twice as long as any radius of the same sphere and is given by the formula

                                                   d=2r

We know that the diameter of the sphere is 0.926 inch. The radius is

\frac{0.926}{2}=0.463

The volume of the sphere is

V=\frac{4}{3}(3.14)(0.463)^3 \approx0.4155385

and rounding to the nearest thousandth we get V=0.416 \:in^3.

3 0
3 years ago
The volume of a cone is six pi cubic inches what is the volume of a cylinder having the same base and same height
ryzh [129]
The volume would also be the same since the volume of a cone is 1/3bh.
So the volume is six pi cubic inches.
8 0
3 years ago
While mining, Sandy found a large metal bar that weighed 32 grams. Sandy was also able to determine that the bar contained 75% c
Rus_ich [418]

Answer:

40%

Step-by-step explanation:

make 20*5=100 , total, 8*5 which makes 40

5 0
3 years ago
Read 2 more answers
Determine the domain with symbols, will give brainlist
navik [9.2K]

Answer:

-3 > x > 7

Step-by-step explanation:

Since the domain is the x, there are open circles, and it ends, then x could equal -3 > x > 7

5 0
3 years ago
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I need help finding both volume and surface area
Svetradugi [14.3K]

Answer:

<u>Volume</u>

For the rectangle, h = 3cm, l = 8cm, w = 6cm
V = length x width x height
V = 8cm x 6cm x 3cm
V = 144cm^3

For the semi circle, we need to find the radius. The radius is width/2, so 6cm/2 = 3cm. r = 3cm, \pi = 3.14
V = radius^2 x height x \pi
V = 3cm^2 x 3cm x 3.14
V = 84.8 cm^3/2 (because the cylinder needs to be divided to form a semi-circle)
V= 42.4cm^3 (there are two cylinders though so we will multiply this by 2 in the total volume)

Total volume:
V = 144cm^3 + 42.4cm^3(2)
V = 186.4cm^3

<u>Surface Area</u>

Rectangular prism:
A = 2[w(l) + h(l) + h(w)]
A = 2[6cm(8cm) + 3cm(8cm) + 3cm(6cm)]
A = 180cm^2
But there are two sides that are covered by the semi-circular prisms, so we will have to calculate those sides and remove them.
A = l x w
A = 6cm x 3cm
A = 18cm^2(2) (2 being the two faces)
A = 36cm^2

A = 180cm^2 - 36cm^2
A = 144cm^2 (the area of the rectangle)

Semi-circular prism:
A = 2\pirh + 2\pir^2
Earlier, we found out that the radius of the circle is 3cm, so we will plug that in.
A = 2(3.14)(3cm)(3cm) + 2(3.14)(3cm)^2
A = 113.09cm^2

Total surface area:
A = 144cm^2 + 133.09cm^2
A = 277.09cm^2

Therefore the total volume of the prism is 186.4cm^3 and the total surface area is 277.09cm^2.





6 0
2 years ago
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