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tino4ka555 [31]
3 years ago
15

An acute triangle has side lengths 21 cm, x cm, and 2x cm. if 21 is one of the shorter sides of the triangle, what is the greate

st possible length of the longest side, rounded to the nearest tenth?
Mathematics
2 answers:
madam [21]3 years ago
8 0

Given that the sides of the acute triangle are as follows:
21 cm
x cm
2x cm

Stated that 21 cm is one of the shorter sides of the triangle2x is greater than x, so it follows that 2x MUST be the longest side


For acute triangles, the longest side must be less than the sum of the 2 shorter sides
Therefore, 2x < x + 21cm
2x – x < 21cm
x < 21cm

If x < 21cm, then 2x < 42cm
Therefore, the longest possible length for the longest side is 42cm
sesenic [268]3 years ago
7 0

Answer:

C. 42.0

Step-by-step explanation:

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Please help with 1 and 2
ZanzabumX [31]

Answer:

1. B. a=14, b=2

2. D. a=1, b=1.4

Step-by-step explanation:

The exponential growth function can be represented as

y=a\cdot b^x,

where b is the growth factor.

1. When the function has equation

g(x)=14\cdot 2^x,

then

a=14,\\ \\b=2

The initial amount is the value of the function at x=0:

g(0)=14\cdot 2^0=14\cdot 1=14

The growth factor is b=2

2. When the function has equation

f(t)=1.4^t,

then

a=1,\\ \\b=1.4

The initial amount is the value of the function at t=0:

f(0)=1.4^0=1

The growth factor is b=1.4

5 0
3 years ago
Help me please!! (10 points)
zloy xaker [14]

Answer:

4,0

Step-by-step explanation:

The Y-intercept is always a number then a zero

7 0
3 years ago
The school that Micaela goes to is selling tickets to an annual dance competition. On the first day of ticket sales the school s
MrRissso [65]

a = adult ticket price

s = student ticket price

---

7a + 2s = 87

---

4a + 6s = 74

4a = 74 - 6s  

a = 74/4 - (6/4)s

a = 37/2 - (3/2)s

---

7a + 2s = 87

7(37/2 - (3/2)s) + 2s = 87

7(37/2) - 7(3/2)s + 2s = 87

(259/2) - (21/2)s + 2s = 87

(21/2)s - 2s = (259/2) - 87

(21/2)s - (4/2)s = 259/2 - 174/2

(17/2)s = 85/2

 

---

s = 85/2(2/17)

s = 85/17

---

Answer:

s = $5

a = $11

---

8 0
3 years ago
PLZ HELP!!! 10 POINT REWARD!!!
ehidna [41]
Division property of equality, because you have to divide 8x and 80 by 10

5 0
4 years ago
Read 2 more answers
Can someone help me find this function's vertex?<br> y = −3(x + 2)2 + 5.
topjm [15]

Answer: The vertex is x=-7/6

*The graph is below*

Hope that this helps!

7 0
3 years ago
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