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salantis [7]
3 years ago
13

Express 40 over 16 as a mixed number in simplest form

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0
We want to find out how many times 16 goes into 40.

It goes into 40 twice, with 4 leftover.

2 4/16

Now we can simplify.

Divide the numerator & denominator by 4:

1/4

Our final answer is 2 1/4.
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Find the area of the triangle. Round the answer to the nearest tenth. A. 4.4 square units B. 5.2 square units C. 6.8 square unit
icang [17]

Answer:

A. 4.4 units²

Step-by-step explanation:

Area of a Triangle: A = 1/2bh

sin∅ = opposite/hypotenuse

cos∅ = adjacent/hypotenuse

Step 1: Draw the altitude down the center of the triangle

- We should get a perpendicular bisector that creates 90° ∠ and JM = KM

- We should also see that we use sin∅ to find the <em>h</em> height of the triangle and that we use cos∅ to find length of JM to find <em>b</em> base of the triangle

Step 2: Find <em>h</em>

sin70° = h/3.7

3.7sin70° = h

h = 3.47686

Step 3: Find <em>b</em>

cos70° = JM/3.7

3.7cos70° = JM

JM = 1.26547

Step 4: Find entire length base JK

JM + KM = JK

JM = KM (Definition of Perpendicular bisector)

2(JM) = JK

2(1.26547) = 2.53095

b = 2.53095

Step 5: Find area

A = 1/2(3.47686)(2.53095)

A = 4.39988

A ≈ 4.4

8 0
3 years ago
The angles below are supplementary. What is the value of x?
USPshnik [31]
Since the angles are supplementary, we know that they must add up to equal 180 degrees by the definition of supplementary angles

set the sum of the 2 angles to equal 180 and solve for x

6x + 48 + 60 = 180
6x + 108 = 180
6x = 72
x = 12

you could check to make sure that your x value is correct by plugging it back into the equation

6(12) + 48 + 60 = 180
72 + 48 + 60 = 180
120 + 60 = 180
180= 180

hope this helped!
8 0
3 years ago
Sketch a unit circle and label the terminal points corresponding to theta=pi/4, 3pi/4, 5pi/4, 7pi/4 Include the coordinates of e
slavikrds [6]

Answer:

Did you ever figure out the answer to this question? And if so, did you figure out how to solve it.

Step-by-step explanation:


3 0
3 years ago
Need help from 7-9 pls
expeople1 [14]

Answer:

b 5 a 6 b 7

Step-by-step explanation:

5 0
3 years ago
Math question please show work due today last day to submit Assignments or I fail please help
Aleksandr [31]

Answer:

The polygons are similar.

Step-by-step explanation:

By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.

Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.

The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is \frac{3}{3.75}.

The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is \frac{5}{6.25}.

If these polygons are similar, these proportions must be equal.

\frac{3}{3.75}=\frac{5}{6.25},\\0.8=0.8\:\checkmark

Checking, we see that these proportions are equal, and therefore the polygons are similar.

6 0
3 years ago
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