Step One
Find z
All triangles have 180 degrees. No exceptions.
z + 47 + 90 = 180 combine like terms on the left.
z + 137 = 180 subtract 137 from both sides
z = 180 - 137
z = 43 degrees.
Step Two
Use the sine function to find y
Sin(43) = opposite side / hypotenuse
opposite side = 35
sin(43) = 35 / hypotenuse
hypotenuse = 35 / sin(43)
y = 35/0.6820
y = 51.32
Solve using cos(x)
Note this problem could have been done in a shorter way.
Cos(47) = adjacent / hypotenuse.
hypotenuse = adjacent / cos(47)
y = 35 / cos(47)
y = 35 / 0.6820
y = 51.32 Both answers agree. It is a good thing to know how to do this question both ways.
Answer:
1 / 27 cm^3
Step-by-step explanation:
Given,
side = 1 / 3 cm
To find : Volume ( cube ) = ?
Formula : -
Volume ( cube ) = ( side )^3
Volume ( cube )
= ( 1 / 3 )^3
= 1^3 / 3^3
= 1 / 27
= 1 / 27 cm^3
Least common mulitplue is the smallest number that has 49 and 28 as factors
so to do this
find the factor so 49 and 28 and gropu all of them so both are in it
49=7 times 7
28=2 times 2 times 7
therefor yo need at least two 7's and two 2's
that equals
7 times 7 times 2 itme s2=49 times 4=196
answer is 196
Answer:
13
Step-by-step explanation:
subtract 1 on both sides
then divide by 3
to get 13
For the square with side length n, the diagonal measures:
<h3>
How to get the length of the diagonal?</h3>
The sidelength of the square is n, and we want to get the length of the diagonal d.
Notice that the diagonal is the hypotenuse of a right triangle whose catheti measure n.
Then we can use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the cathetus;
That is the length of the diagonal.
If you want to learn more about right triangles:
brainly.com/question/2217700
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