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Vesna [10]
3 years ago
7

If at least one interior angle is a reflex angle, then the polygon is concave. False True

Mathematics
2 answers:
kondaur [170]3 years ago
6 0
The answer would be false
Darina [25.2K]3 years ago
4 0

Answer:

The answar is false

Step-by-step explanation:

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$15.30 divided by 15??????
alekssr [168]
The answer is 1.02 according to calculations
8 0
3 years ago
Read 2 more answers
Consider the points A(5, 3t+2, 2), B(1, 3t, 2), and C(1, 4t, 3). Find the angle ∠ABC given that the dot product of the vectors B
Vilka [71]

Answer:

66.42°

Step-by-step explanation:

<u>Given:</u>

A(5, 3t+2, 2)

B(1, 3t, 2)

C(1, 4t, 3)

BA • BC = 4

Step 1: Find t.

First we have to find vectors BA and BC. We do that by subtracting the coordinates of the initial point from the coordinates of the terminal point.

In vector BA B is the initial point and A is the terminal point.

BA = OA - OB = (5-1, 3t+2-3t, 2-2) = (4, 2, 0)

BC = OC - OB = (1-1, 4t-3t, 3-2) = (0, t, 1)

Now we can find t because we know that BA • BC = 4

BA • BC = 4

To find dot product we calculate the sum of the produts of the corresponding components.

BA • BC = (4)(0) + (2)(t) + (0)(1)

4 = (4)(0) + (2)(t) + (0)(1)

4 = 0 + 2t + 0

4 = 2t

2 = t

t = 2

Now we know that:

BA = (4, 2, 0)

BC = (0, 2, 1)

Step 2: Find the angle ∠ABC.

Dot product: a • b = |a| |b| cos(angle)

BA • BC = 4

|BA| |BC| cos(angle) = 4

To get magnitudes we square each compoment of the vector and sum them together. Then square root.

|BA| = \sqrt{4^2 + 2^2 + 0^2} = \sqrt{20} = 2\sqrt{5}

|BC| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}

2\sqrt{5}\sqrt{5}\cos{(m\angle{ABC})} = 4

10\cos{(m\angle{ABC})} = 4

\cos(m\angle{ABC}) = \frac{4}{10}=\frac{2}{5}

m\angle{ABC} = cos^{-1}{(\frac{2}{5})}

m\angle{ABC} = 66.4218^{\circ}

Rounded to two decimal places:

m\angle{ABC} = 66.42^\circ

3 0
1 year ago
How do you find the answer so confused
alexandr402 [8]
For which question, I can help,
<span>for number 9, parallel lines have the same exact slope, so divide each of them by to isolate the y and then see if the slope (number multiplied by x) is the same as the other problems . PS: focus on the slope, rest of equation doesn't matter in this question</span>
5 0
3 years ago
The length of a rectangle is 3cm more than twice the width. The perimeter of the rectangle is 42 cm. Find the dimensions of the
bogdanovich [222]
The width is 6cm
And the length is two times + 3 of the width
6 X 2 + 3 = 15
Add all 4 sides for the perimeter 6+6+15+15=42
The the dimensions are a rectangle that is 6cm wide and 15cm tall
5 0
2 years ago
Bethany has 3.10$ in nickels and dimes. She has a total of 44 coins . What is the value of the nickels Bethany has
vlada-n [284]
Represent the unknows with n and d.

Then n+d = 44 (# of coins)

and 

$0.05n + $0.10d = $3.10   (value of coins)

Solving the first equation for n, we get n = 44-d.  Subst.  44-d for n in the 2nd equation:

0.05(44-d) + 0.10d = 3.10
Then 2.20 - 0.05d + 0.10d = 3.10, or
          2.20 + 0.05d             = 3.10, or    0.05d = 0.90.  Solving for d, 
       0.90
d = -------- = 18
        0.05

There are 18 dimes and 44-18 nickels.  How many nickels is that?  ;)

5 0
3 years ago
Read 2 more answers
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