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Mariana [72]
3 years ago
7

Help me please. 4x=3y-7:y=4,5,6

Mathematics
1 answer:
bezimeni [28]3 years ago
8 0
If you're looking for the answers it would be x= 5/4, 2, 11/4
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The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube? 6 cubic feet 18 cubic
fomenos

The volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.

<h3>What is a cube?</h3>
  • A cube is a three-dimensional solid object with six square faces, facets, or sides, three of which meet at each vertex.
  • The cube is one of the five Platonic solids and the only regular hexahedron.
  • It has six faces, twelve edges, and eight vertices.

To find the volume of the cube that perfectly fits an 18 ft³ pyramid:

We have been provided that:

  • 18 cubic feet is the volume of the pyramid.
  • Now, in order for this pyramid to fit exactly into a cube, the base of the pyramid must be square, and the height of the pyramid must be equal to the height of the cube.
  • We can conclude from this that the volume of a cube equals three times the volume of a pyramid.
  • So, the volume of the cube = 3 × 18
  • The volume of Cube = 54 ft³

Therefore, the volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.

Know more about a cube here:

brainly.com/question/1972490

#SPJ4

The correct question is given below:

The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube?

(A) 6 cubic feet

(B) 18 cubic feet

(C) 54 cubic feet

(D) 72 cubic feet

6 0
1 year ago
Suzanne is making a circular table out of a square piece of wood. The radius of the circle that she is cutting is 3 feet. How
Viefleur [7K]

Answer:

The waste Suzanne is going to have is around 7.726.

8 if looking for nearest square foot.

Step-by-step explanation:

Area for a square - x*x (length times length)

Area for a circle - r^2*pi

Find the area of the circle first, which plug in r as 3.

3^2*pi

9pi

≈28.27433

Notice for a circle inside a square,  the length of the square is the diameter of the circle.

By knowing 2r=diameter, we know the length of the square is 6

substitute x as 6.

6*6=36

Find the waste= Area of square - Area of circle

36-28.27433

≈7.726

The image I attached should give you a clue on how the problem is being done and help you to understand what the 3 feet means.

8 0
3 years ago
4g−124, g, minus, 12 when g=5g=5
allsm [11]

Answer:

4g-124= -104, g-12= -7

Step-by-step explanation:

g=5

4g-124= ?     g-12

4(5)-124         5-12

4(5)= 20        5-12= -7

20 - 124= -104

4 0
3 years ago
Help ASAP show work please thanksss!!!!
Llana [10]

Answer:

\displaystyle log_\frac{1}{2}(64)=-6

Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

log_b(1) = 0

Logarithm of the base:

log_b(b) = 1

Product rule:

log_b(xy) = log_b(x) + log_b(y)

Division rule:

\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)

Power rule:

log_b(x^n) = n\cdot log_b(x)

Change of base:

\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

\displaystyle log_\frac{1}{2}(64)

Factoring 64=2^6.

\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)

Applying the power rule:

\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)

Since

\displaystyle 2=(1/2)^{-1}

\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})

Applying the power rule:

\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})

Applying the logarithm of the base:

\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}

5 0
3 years ago
(5+2×3)−4+(5x5) ? Highly appreciate it. :)
Murljashka [212]

Answer:

32

Step-by-step explanation:

8 0
3 years ago
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