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BabaBlast [244]
2 years ago
13

Can 20 degrees 60 degrees and 100 degrees be a triangle

Mathematics
2 answers:
Ivanshal [37]2 years ago
8 0

Answer: Yes

Step-by-step explanation: The area of a triangle equals 180°

100+60+20=180

mestny [16]2 years ago
4 0

Answer: Yes

Explanation: The sum of the measures of the angles is always 180°

This idea is known as the (Triangle Sum Theorem).

Since 20 + 60 + 100 is equal to 180, we know

that these measures can form a triangle.

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Question: determine all solutions to the diophantine equation 3x + 7y = 4
yKpoI14uk [10]
The difference between the coefficients 7 and 3 is 4, so one solution is
  y = 1, x = -1.
Then the remaining solutions will be of the form
  x = -7n-1
  y = 3n+1
for some integer n.


_____
Some of the solutions are (for n=0, -1, -2, 1, 2)
(x, y) = (-1, 1), (6, -2), (13, -5), (-8, 4), (-15, 7)
3 0
2 years ago
Solve h = −16t2 + 36t + 4.
kvasek [131]
I can do each of the things I asked above.
So, let's change this into vertex form:
h=-16t^2+36t+4
h=(-16t^2+36t)+4
h=-16(t^2-2.25t)+4
h=-16(t^2-2.25t+1.27-1.27)+4
h=-16(t^2-2.25t+1.27)+20.32+4
h=-16(t-1.125)^2+24.32
The vertex is at (1.125,24.32)
<span>Answers may vary due to rounding

</span>Factored Form:
h = -16t^2 + 36t + 4
h = -4\left(4t^2-9t-1\right)

Quadratic Formula:
x =  \frac{-b +/- \sqrt{b^2-4(a)(c)}}{2a}
<span>h = -16t^2 + 36t + 4
</span>a = -16 b = 36 c = 4
h = \frac{-(36) +/- \sqrt{(36)^2-4(-16)(4)}}{2(-16)}
h = \frac{-36 +/- \sqrt{1552}}{-32}
h = ≈-0.11
h = ≈2.36

5 0
3 years ago
I keep on getting the wrong answer
Anon25 [30]

1) Area = (b*h)/2 = (9*5)/2 = 45/2 = 22.5 (Letter A)

2) Area = b*h = 8*14 = 112 (Letter D)

3) Surface area of a prism is SA=2B+ph (B = area of the base, p = perimeter of the base, h = height)

B = 15 * 5 = 75 cm^2

p = 15 + 5 = 20 cm

SA = 2*75 + 20*7 = 150 + 140 = 290 (G)

4) V = (B*H*L)/2 = (15*7*5)/2  = 525/2 = 262.5 cm^3 (G)

5) V = 9^3 = 81 cm^3 worth of wrapping (A)

6) V = (B*H*L)/2 = (13*6*8)/2 = 312 cube feet (J)

It gave me ADGGAJ. I don't know if this is right, but I atleast tried to do something, right?

5 0
1 year ago
Read 2 more answers
If you have 2 squares with the same side lengths are they still considerd scaled copies of each other?
Mekhanik [1.2K]
Yes as long as one side on a square is the same on another they are the copies of each other
7 0
3 years ago
A gym teacher has $250 to spend on volleyball equipment. She buys 4 volleyball nets for $28 each. Volleyball cost $7 each. How m
Sonbull [250]
First find out how much the 4 volleyball nets are by using 4*28 which would equal to 112. Now subtract 112 from 250 and that leaves you with 138. Then you divide 138 by 7 which will give you about 19.7 which you need to take all decimals out since it isn’t an whole number. The gym teacher can only buy 19 volleyballs.
6 0
2 years ago
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