Answer:
many different triangles.
Step-by-step explanation:
The given information is the length of two sides of a triangle, these lengths are:
8ft and 11ft
So the third side can have different lengths (notice that we do not have any restriction in the angles neither)
Then the third side has a lot of different possible lengths, this means that we can make many different triangles with this information.
Remember that one of the criteria for congruent triangles is SSS, (side side side)
So if we know 3 sides, there is only one triangle that can be made with these sides, but if we only know two sides this is not the case.
Answer:
cot= adjacent side/opposite side
Option B is correct.
Step-by-step explanation:
We need to identify trigonometric identity which is given by the formula adjacent side/opposite side
The trigonometric identity for tan is
tan= opposite side/adjacent side
But We are given adjacent side/opposite side
Since cot is inverse of tan so, formula of cot is:
cot= adjacent side/opposite side
Option B is correct.
Answer:
15 cm
Step-by-step explanation:
The length of the shorter pole can be found by forming and subsequently solving 2 equations.
Start by defining the variables that are going to be used in the working.
Let the original length of the shorter pole be a cm and that of the longer pole be b cm.
'Product' refers to the multiplication operation.
ab= 285 -----(1)
On the other hand, 'sum' refers to the addition operation.
Length of shorter pole after cutting= a -2
Length of longer pole after cutting= b -2
(a -2) +(b-2)= 30
a +b -4= 30
Adding 4 to both sides:
a +b= 30 +4
a +b= 34 -----(2)
From (2):
a= 34 -b -----(3)
Let's solve by substitution:
Substitute (3) into (1):
b(34 -b)= 285
Expand:
34b -b²= 285
b² -34b +285= 0
Factorise:
(b -15)(b -19)= 0
b -15= 0 or b -19= 0
b= 15 or b= 19
Substitute into (1):
a(15)= 285 or a(19)= 285
a= 285 ÷15 or a= 285 ÷19
a= 19 or a= 15
Since a <b, a= 15 and b= 19.
Thus, the length of the shorter pole is 15 cm.
C=2πr
C=2π6
C=<span>37.6991118431
</span>
That's the arc length of the whole circle, i.e. the arc length of 360°.
65° is 18.055555555555555555555555555556% of 360°, (65/360*100)
so 18.055555555555555555555555555556% of 37.6991118431 is
6.8067840827819444444444444444444. Rounded to the nearest hundredth, the answer is 6.81 inches.
That's real pi, lets see if it makes a difference to use "stupid pi".
C=2πr
C=2π6
C=37.68
That's the arc length of the whole circle, i.e. the arc length of 360°.
65° is 18.055555555555555555555555555556% of 360°, (65/360*100)
so 18.055555555555555555555555555556% of 37.68 is
6.803333333333333333333333. Rounded to the nearest hundredth, the answer is 6.80 inches.
Yep makes a difference. That's why you don't use stupid pi. 3.14159 is what we always used in engineering, or just the pi button and using a ton of digits.
Answer: 6.80 inches.
Answer:
2.62
Step-by-step explanation:
First, write the square root as exponent.
Move the denominator to the numerator and negate the exponent.
Use log product property.
Use log exponent property.
Substitute values.
