Answer:
48 and 48
Step-by-step explanation:
product means multiplication
two middle values are 3 and 16
3*16 = 48
two outside values are 2 and 24
2*24 = 48
Given:
The measure of three sides of a triangle are 8, 7 and 14.
To find:
The measure of the angle opposite the side of length 8.
Solution:
According to the Law of Cosine:
Let a=8, b=7 and c=14, then by using Law of Cosine, we get
Taking cos inverse on both sides.
Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.
Answer:
x=0,![\sqrt[6]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B5%7D)
Decimal form,
x=0,1.30766048......
Step-by-step explanation:
x
=
x-=0
(take x as a common factor)
x(-
)=0
So,
x=0 and -=0
for 
-=0
(add for both sides)
=
x=![\sqrt[3]{\sqrt[2]{5} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Csqrt%5B2%5D%7B5%7D%20%7D)
(multiply 3 by 2)
x=
So,
x=0,
Answer:
-6 33/40
Step-by-step explanation:
2 5/8 * -2 3/5
Change each to an improper fraction
2 5/8 = (8*2+5)/8 = 21/8
2 3/5 = (5*2+3)/5 = 13/5
21/8 * -13/5
-273/40
Change to mixed number
40 goes into 273 6 times
6*40 = 240 273-240 =33
-6 33/40
Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
