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vodomira [7]
2 years ago
12

A triangle has side lengths of 13 in, 29 in, and 30 in. Classify it as acute, obtuse, or right.

Mathematics
1 answer:
kenny6666 [7]2 years ago
8 0

Acute

Angle ∠ A = α = 25.385° = 25°23'6″ = 0.443 rad

Angle ∠ B = β = 73.004° = 73°14″ = 1.274 rad

Angle ∠ C = γ = 81.611° = 81°36'41″ = 1.424 rad

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Brian says that the expression 8n + 2 is equal to 83 when n=1. Explain why Brian’s answer is incorrect?
GalinKa [24]

Answer:

8n+2 first let’s plug in n which is 1

8(1)+2=10

The answer is 10 but Brian said the expression is equal to 83. He is incorrect because 8 times 1 is 8 and then plus 2 is 10.

I hope it helps.

5 0
2 years ago
What is the vertex of the graph of the function below? y = x2 - 8x + 12 A. (-2, 0) B. (-4, -4) C. (-4, 0) D. (-2, -4)
mario62 [17]
To find the vertex of the parabola, we need to write it in a vertex form.

y=x² - 8x +12 

1) complete the square

y=x² - 8x +12 
y = x² -2*4x + 4² - 4² +12
y=(x-4)²  -16 +12

2) calculate and write a vertex
y=(x-4)²  -16 +12
 y=(x-4)²  - 4

(x-4)           -----     x- coordinate of the vertex x=4
 y=(x-4)²  - 4    -------y- coordinate of the vertex  y = -   4 
  
Vertex is (4, -4).
Answer is (4, -4).  No correct answer is given in choices. 

7 0
3 years ago
The volume of this cone is 3,183.96 cubic meters. What is the height of this cone?
Rom4ik [11]

Answer:

height = 18m

Step-by-step explanation:

cone volume = 3183.96 m³

1/3 πr²h = 3183.96

1/3×3.14×13×13×h = 3183.96

h = 3183.96×3/13×13×3.14

h = 9551.88/530.66

h = 18

5 0
2 years ago
A population of flies grows according to the function p(x) = 2(4)x, where x is measured in weeks. A local spider has set up shop
aleksandr82 [10.1K]
The functions are:

p(x)=2\cdot4^x and s(x)=2x+5.

After 2 weeks, under no risk of spiders, the population of the flies is calculated by the function as p(2)=2\cdot4^2=2\cdot16=32.

 
Similarly, we calculate s(2)=2(2)+5=4+5=9, which means that the spider consumes 9 flies in 2 weeks.

 
Thus, out of 32 flies, 9 are eaten by the spider, so there are 32-9=23 flies left. 


Answer: 23
7 0
3 years ago
Rectangle EFGH is shown below with line IJ passing through the center:
otez555 [7]
The line will remain unchanged because you are just and only dilating the rectangle. I hope this helps :).-
4 0
3 years ago
Read 2 more answers
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