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MAVERICK [17]
3 years ago
12

Solve for x, rounding to the nearest hundredth. 2^4x = 36

Mathematics
1 answer:
omeli [17]3 years ago
5 0

Answer:

5/4

Step-by-step explanation:

36 is the 5tf power of 2 so we can rewrite the equation as

{2}^{4x}  =  {2}^{5}

Since the expressions has same base the powers must be equal to

4x = 5 and x = 5/4

You might be interested in
What is the perimeter (please explain your answer)
Alex

Answer:

<em>Answer: B. 38 mm</em>

Step-by-step explanation:

<u>The Perimeter of a Shape</u>

The perimeter of a given shape is the sum of all exterior lengths surrounding the shape.

The figure shows a shape where all the external measures are given except the leftmost side.

This length is the sum of 3 mm + 10 mm = 13 mm.

Now calculate the perimeter:

P = 4 mm + 3 mm + 10 mm + 8 mm + 13 mm = 38 mm

Answer: B. 38 mm

4 0
3 years ago
Can someone help me with this?
yan [13]
I'm assuming you want the total surface area.

This is a trapezoidal prism. The bases are the parallel faces running horizontal (parallel to the ground) and they are congruent trapezoids. The lateral sides are rectangles.

-------------------------------------------------

Lateral Faces:
The back face (hidden from view) is a rectangle that is 12 inches by 3 inches, so it has an area of 12*3 = 36 sq inches

The front slant faces on the left and right are each 3*5 = 15 sq inches in area

The front center lateral face has area of 6*3 = 18 sq inches

The total lateral surface area is 15+18+15+36 = 84 sq inches

-------------------------------------------------

The bases are each the same trapezoid. The trapezoid has two parallel sides of 12 and 6 inches. Call this b1 and b2. The height of the trapezoid is h = 4. Imagine the trapezoid is laid flat in a 2D perspective instead of a 3D one.

The area of one trapezoid is...
A = h*(b1+b2)/2
A = 4*(12+6)/2
A = 4*(18)/2
A = 72/2
A = 36

So the area of both base faces combined is 2*36 = 72

-------------------------------------------------

The total surface area is then found by adding the total lateral surface area (84) and the total base area (72) to get 84+72 = 156

Final Answer: 156 square inches

4 0
3 years ago
AXYZ has vertices X(-4,2), Y(4.2), and Z(0, - 1). Is AXYZ scalene, isosceles, or equilateral?
ivolga24 [154]

Answer:

Isosceles triangle.

Step-by-step explanation:

In order to determine the nature of the triangle, we will need to get the sides XY, XZ and YZ using the distance formula;

For XY;

X(-4,2), Y(4.2)

XY = √(2-2)²(4-(-4)²)

XY = √(4+4)²

XY = √8²

XY = 8

For XZ;

X(-4,2), Z(0, - 1)

XZ = √(-1-2)²(0-(-4))²

XZ = √(-3)²+4²

XZ = √9+16

XZ = √25

XZ = 5

For XZ;

Y(4.2), Z(0, - 1)

YZ = √(-1-2)²(0-(4))²

YZ = √(-3)²+(-4)²

YZ = √9+16

YZ = √25

YZ = 5

Since XZ = YZ = 5, this shows that two sides are equal. Hence the triangle is an isosceles triangle.

NB: Isosceles triangle only have two of its sides and angles equal

5 0
3 years ago
A group of 10 fisherman enjoy certain types of fish, 3 of them like salmon, 5 like trout and 2 like bass. A single fisherman is
Anna35 [415]
The answer is D. 1/2
6 0
4 years ago
Read 2 more answers
(x + 4) mm <br> What is the value of x according to this picture?
irinina [24]

Answer:

  x = 24

Step-by-step explanation:

The angle bisector creates proportional corresponding line segments on either side of it. That is ...

  (35 mm)/(56 mm) = (x +4) mm/(44.8 mm)

Multiplying by 44.8, you have

  44.8 · (35/56) = x + 4

  28 = x + 4                          simplify

  24 = x                               subtract 4

8 0
3 years ago
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