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Oksanka [162]
3 years ago
11

Which of the following could be the ratio of the length of the longer leg of a 30 60 90 triangle to the length of its hypotenuse

Mathematics
1 answer:
yan [13]3 years ago
6 0
For 30 60 90 triangles, the ratio of the side lengths is
\frac{1}{2} : \frac{ \sqrt{3} }{2} :1
where the first is the shorter leg, the second is the longer leg, and the third is the hypotenuse (the longest side that doesn't form a 90 degree angle)

so the ratio of the longer leg to the hypotenuse is <span>\frac{ \sqrt{3} }{2} :1
or
</span>\frac{ \frac{ \sqrt{3} }{2} }{1}
<span>which equals </span>\frac{ \sqrt{3} }{2}
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What is the circle's circumference? The diameter of a circle is 6 millimetres.
dolphi86 [110]

Answer:

C = 6pi or approximately 18.84 mm

Step-by-step explanation:

The circumference of a circle is

C = pi *d

C = pi *6

We can approximate pi by 3.14

C = 3.14*6

C =18.84

6 0
3 years ago
Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)
fredd [130]

Answer:

f(x)=\frac9{x+1}\\ f'(x)=-\frac9{(x+1)^2}\\ f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\\ |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\\ x_1=2\ \vee\ x_2=-4\\ f(x_1)=f(2)=\frac9{2+1}=3\\ f(x_2)=f(-4)=\frac9{-4+1}=-3

First tangent line:

y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5

Second tangent line:

y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7


Notice: slope of -1 means that both f'(x_1), \ f'(x_2) are equal to -1, so f'(x_1)=-1 \ and \ f'(x_2)=-1


6 0
2 years ago
Read 2 more answers
What's This Answer Please
Hatshy [7]
I can't see the full picture 
5 0
3 years ago
Next
bazaltina [42]

Answer:gotta go sorry

Step-by-step explanation:

3 0
3 years ago
On a fruit farm 1/3 of the trees are apple trees and 1/5 are lemon trees. The rest are fig trees. There are 90 trees in all.
Vaselesa [24]

Answer:

I'm not sure what the question was but I've worked out all the three types of trees

Step-by-step explanation:

⅓ + ⅕ = 8/15 because:

×5 ×3

5/15 + 3/15 = 8/15

therefore 7/15 is fig trees

90÷15 =6

6×5 = 30 apple trees

6×3 = 18 lemon trees

6×7 = 42 fig trees

7 0
2 years ago
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