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Anastaziya [24]
3 years ago
9

A triangle has an exterior angle with a measure of 120°. Can you determine the measures of the interior angles? Explain.

Mathematics
1 answer:
worty [1.4K]3 years ago
3 0
If the exterior angle is 120 degrees, you subtract 120 degrees from 360 degrees (the two angles form a circle) and get 240 degrees.
This is not a possible angle for a triangle because the angles in a triangle always add up to 180 degrees. Also, angles in triangles can’t be more than 180 degrees
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Sal built a card table with a top area of 900 square inches. What is the length, in inches, of one side of the table?
Klio2033 [76]
Answer:
30

Explanation:
It’s pretty simple actually, you just need to get the square root of 900 by seeing what two equal numbers give you 900. The answer in this scenario would be 30 since 30x30 would give you 900. Since it is a square all sides are equal and your answer would only be 30.
Hope this helped you :)
7 0
3 years ago
Read 2 more answers
A pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. The height, h, of th
Gennadij [26K]
<h2>Explanation:</h2>

In this problem we have a pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. So the height, h, of the pumpkin at time t seconds after the launch can be modeled by the equation:

h(t) = -16t^2 + 84t + 20

So this is the equation of a parabola. The maximum of this parabola occurs at its vertex. So let's find this vertex:

\text{The x-value of the vertex is}: \\ \\ t=-\frac{b}{2a} \\ \\ \\ Where: \\ \\ a=-16 \\ \\ b=84 \\ \\ c=20 \\ \\ \\ t=-\frac{84}{2(-16)} \\ \\ t=-\frac{84}{-32} \\ \\ t=\frac{21}{8}=2.625 \\ \\ h(2.625)=-16(2.625)^2+84(2.625)+20 \\ \\ h(2.625)=-110.25+220.5+20 \\ \\ h(2.625)=130.25m

Finally, the maximum occurs at time 2.625 seconds when the height is 130.25m

8 0
3 years ago
Need help with this please
KonstantinChe [14]

Answer:

72 cent

Step-by-step explanation:

7 0
2 years ago
How do you find equivalent mixed numbers
irina1246 [14]
How to find the mixed number to a fraction:

Let's take 3/2 for instance.

1) You will see how many times the denominator (bottom number) goes into the numerator (top number) in this case that is one time.

2) You will place that number (1) off to the side like so --> 1

3) Then you will see how many parts are left, in this case that is 1 and place that number over the original denominator like so: 1/2

4) Finally you will just combine to get your answer- 1 1/2

Hope I helped,
-CSX :)
3 0
3 years ago
Read 2 more answers
candy bars are sold at a local store for 60 cents each. The factory has $1000 in fixed costs plus 10 cents of additional expense
Westkost [7]

Answer:

2000 bars, or $1200

Explanation:

Let x represent the number of candy bars that are sold.  Since they are sold for $0.60 each, this gives us the expression

0.60x

to represent the profit.

The factor has $0.10 per candy bar additional expense; this gives us the expression

0.10x.

However the factory also has $1000 fixed costs; this gives us

0.10x + 1000

to represent the costs.

The break-even point is the point where these two expressions are equal; this gives us the equation

0.60x = 0.10x + 1000

Subtract 0.10x from each side:

0.60x - 0.10x = 0.10x + 1000 - 0.10x

0.50x = 1000

Divide both sides by 0.50:

0.50x/0.50 = 1000/0.50

x = 2000

The break-even point is 2000 candy bars, which would sell for

0.60(2000) = $1200

3 0
3 years ago
Read 2 more answers
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