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HACTEHA [7]
3 years ago
8

What is .41 as a fraction

Mathematics
1 answer:
Nata [24]3 years ago
5 0

Answer: 41/100

Step-by-step explanation: First, we can change .41 to 0<em>.</em>41 by putting a zero in front of the decimal point.

Using the place value chart, we can see that 0.41 means 0 units, 4 tenths a 1 hundreth. Think of 4 tenths and 1 hundredth as 41/100 so we have 41/100.

Since the fraction 41/100 is in lowest terms, this is our final answer.

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Beth poured the same amount of juice into 10 glasses. She used 2 quarts of juice. How much juice is in each glass?
tia_tia [17]

Answer:

6.4 ounces

Step-by-step explanation:

If you divide 2 quarts by 10 you get 0.2 quarts per glass. That converts to 6.4 ounces.

5 0
3 years ago
Read 2 more answers
A tunnel must be made through a hill. As a result, a surveyor and an engineer create a sketch of the area. The sketch, displayed
Anastasy [175]

Answer:

498 m

Step-by-step explanation:

The AAA theorem states that triangles are similar if all three corresponding angles are equal.

1. Compare triangles FHS and ILS

(a) Reason for similarity

∠F = ∠I = 90°

∠S is common.

∴ ∠H = ∠L

(b) Calculate SL

\begin{array}{rcl}\dfrac{SF}{SH} & = & \dfrac{SI}{SL}\\\\\dfrac{225}{380} & = & \dfrac{225 + 475}{SL}\\\\225SL & = & 380 \times 700\\& = & 266000\\SL & = & \textbf{1182 m}\\\end{array}

2. Compare triangles ILS and GLE

(a) Reason for similarity

∠I = ∠G = 90°

∠L is common.

∴ ∠S = ∠E

(b) Calculate LE

\begin{array}{rcl}\dfrac{IS}{GE} & = & \dfrac{LS}{LE}\\\\\dfrac{700}{180} & = & \dfrac{1182}{LE}\\\\700LE & = & 180 \times 1182\\& = & 212800\\LE & = & \textbf{304.0 m}\\\end{array}

3. Calculate EH

               LE + EH + HS = LS

304.0 m + EH + 380 m = 1182 m

                  EH + 684 m = 1182 m

                                 EH = 498 m

The distance from E to H is 498 m.

 

5 0
3 years ago
George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2),
GarryVolchara [31]

The coordinates of triangle A′B′C′ is  A′(2, 1), B′(1, 2), C′(3, 2)

On plotting the coordinates on the graph, it is found :

Option A is the coordinates of a straight line.

Option C is the coordinates of a bigger triangle

Option D has a different shape.

Only option B fulfills the required condition of similar shape and scale factor of 0.5 .

Vertices of a triangular garden:

A(4,2)

B(2,4)

C(6,4)

Scale factor = 0.5

What are the coordinates?

  • A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.
  • Coordinates are numerical distances or angles that uniquely identify points on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicians, scientists, and engineers use a variety of coordinate schemes.

Learn more about coordinates here: brainly.com/question/24513436

#SPJ1

6 0
2 years ago
|-19+9|/3-|14-22|/9<br> give me an answer
MArishka [77]

Answer:22/

9

= 2 4/

9

≅ 2.4444444

Step-by-step explanation:

Add: -19 + 9 = -10

Absolute value: abs(the result of step No. 1) = abs(-10) = 10

Divide: the result of step No. 2 / 3 = 10 / 3 = 3.3333333333333 = 10/

3

Subtract: 14 - 22 = -8

Absolute value: abs(the result of step No. 4) = abs(-8) = 8

Divide: the result of step No. 5 / 9 = 8 / 9 = 0.88888888888889 = 8/

9

Subtract: the result of step No. 3 - the result of step No. 6 = 10/

3

- 8/

9

= 10 · 3/

3 · 3

- 8/

9

= 30/

9

- 8/

9

= 30 - 8/

9

= 22/

9

6 0
2 years ago
A print shop charges a fixed amount per photocopy and gives a 10% discount off the total cost of the photocopies. The total cost
givi [52]

Answer:

  the number of photocopies made

Step-by-step explanation:

The wording "a function of <em>the number of photocopies made</em>" tells you that "the number of photocopies made" is the independent variable.

___

The wording "y is a function of x" means x is the independent variable.

3 0
3 years ago
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