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Setler79 [48]
3 years ago
11

Find the value of k. Then find the angle measures of the polygon

Mathematics
1 answer:
pochemuha3 years ago
7 0

Answer:

45° + 2k + k = 180°

=> 45 + 3k = 180

=> 3k = 180 – 45

=> k = 135/3

=> k = 45

other two angles :-

2k = 2×45 = 90°

k = 45°

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Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35\text{ m}^30.35 m 3 0, point
Step2247 [10]

Complete question :

Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m3 of fluffy material, with base 0.5 m and height 1m

What is the length of the pillow?

Answer:

1.4 m

Step-by-step explanation:

The volume of wedge is given by:

V = Area of triangle * length

Area of triangle = 1/2 * base * height

Volume of wedge = 1/2 * base * height * length

Volume of wedge = 0.35m³

0.35 = 0.5 * 0.5 * 1 * length

0.35 = 0.25 * length

Length = 0.35 / 0.25

Length = 1.4 m

5 0
2 years ago
Which trigonometric function has a range that does not include 0.4?
Montano1993 [528]
<h2>Hello!</h2>

The answer is: y=cscx

<h2>Why?</h2>

Domain and range of trigonometric functions are already calculated, so let's discard one by one in order to find the correct answer.

The range is where the function can exist in the vertical axis when we assign values to the variable.

First:

y=cosx: Incorrect, it does include 0.4 since the cosine range goes from -1 to 1 (-1 ≤ y ≤ 1)

Second:

y=cotx: Incorrect, it also does include 0.4 since the cotangent range goes from is all the real numbers.

Third:

y=cscx: Correct, the cosecant function is all the real numbers without the numbers included between -1 and 1 (y≤-1 or y≥1).

Fourth:

y=sinx : Incorrect, the sine function range is equal to the cosine function range (-1 ≤ y ≤ 1).

I attached a pic of the csc function graphic where you can verify the answer!

Have a nice day!

8 0
3 years ago
shape ABCDEF is an irregular hexagon. prove that the sum of the shape is720 degrees. show ur working. (3marks)​
guajiro [1.7K]

Answer:

Here's one way to do it  

Step-by-step explanation:

Divide the hexagon into triangles, for example, as in the diagram below.

The triangles are all inside the hexagon, so the sum of their interior angles is the sum of those of the hexagon.

The sum of the interior angles of a triangle is 180°.

There are four triangles, so

Sum of interior angles = 4 × 180° = 720°

8 0
3 years ago
if the unit selling price is $2.50 and the unit cost is $1 what is the action needed to maintain the gross margin percentage whe
Nikolay [14]
The profit is originally 250% to maintain this you need to multiply the new unit cost by 2.5.
New unit cost $1.25. * 2.5 = $3.12.5
5 0
3 years ago
PLEASE HELP!!!!!!!!!!!!!!!!!!!!
Semmy [17]
The answer would be 167 I believe
7 0
3 years ago
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