Answer:
=204.13 inches.
Step-by-step explanation:
Using the side x, we can use sine to find the hypotenuse of the triangle with the angle marked 30°.
Sin 30 =x/hypotenuse.
sin 30 = 27/hyp
hyp= 27/sin 30
=54 inches
We can also find the adjacent as follows.
Cos 30 = adjacent/ 54
Adjacent= 54 cos 30
=46.77 inches
Using the angles marked 45 we can find the hypotenuse of the isosceles triangle.
sin 45= x/hypotenuse
sin 45 =27/hypotenuse
hypotenuse = 27/sin 45
=38.18 inches
The hypotenuse of both the triangles making the isosceles triangle are 38.18 inches long.
Perimeter = 54+ 46.77+27+ 38.18+38.18
=204.13 inches.
Answer:
11/30 or 0.36
Step-by-step explanation:
Answer:
Lets say test tubes = t, and beakers = b
1 pack of (t) is $4 less than 1 pack of (b)
Since i have no prior information we are going to use variables for this equation:
1t (1 pack of test tubes) is $4 less than 1b (1 set of beakers)
so to quantify the equation, we have 8t and 12b.
if b is a number that IS quantifiable such as $5 we can easily figure out this answer.
Lets use and example that 1 set of beakers is $8, if we multiply $8 by 12 (the number of sets of beakers), we get: 96
Using the same example, if 1t is $4 less than 1b than 1t = $4. So, if we multiply $4 by 8 (the amount of packs of test tubes), we get: 32
If you take both of those numbers: 96, and 32 and you divide them you get 3. so that means that 1t = 3b
Answer = 1t = 3b
This may not be correct due to the little information that i got however i hope that, that works out for you :)
<h3>
Answer: Circumference is approximately 75.36 feet</h3>
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Work Shown:
d = diameter = 24 ft
pi = 3.14 approx
C = circumference of circle
C = pi*d
C = 3.14*24
C = 75.36 feet
The total is 94 units.
A square has four equal sides so...
(5x-1)+(4x+3)+(5x-1)+(4x+3)=94
Combine like terms
19x+4=94
Subtract 4 from both sides
94-4=90
18x=90
Divide by 18 on both sides
90/18=5
X=5
Plug 5 in for x on the length of PQ
4(5)+3
20+3=23
Length of PQ=23 units
