9514 1404 393
Answer:
28°
Step-by-step explanation:
The sum of angles in a triangle is 180°, so we have ...
(4x) +(x +18) +112 = 180
5x = 50 . . . . . . . subtract 130
x = 10
Then the two acute angles are ...
(4x)° = (4·10)° = 40°
(x+18)° = (10+18)° = 28°
The measure of the smallest angle is 28°.
Answer: 98 yards
Step-by-step explanation:
In order to find the area of a square by the diagonal, all you need to do is square the length of the diagonal and then divide by 2. 7 is half of the length, so the full length is 14. 14 squared is 196. 196 divided by 2 is 98, which is your answer.
= 3^3 - |-39 | / (-3)
= 27 - (-13)
= 40
9)
top:
3(2)^3 / 6 +(-5)
= 24/6 - 5
= 4 - 5
= -1
bottom:
= 5 - 4 - 27/9 *3
= 5 - 4 - 3*3
= 5 -4 - 9
= -8
so
-1 / -8 = 1/8
answer
1/8
Answer:
the two numbers are 19 and 6
Step-by-step explanation:
so we know that there are two numbers that added together give us 25
x+x=25
one of the numbers is twice the amount of the second plus 7
(2x+7)+x=25
simplify 2x+7+x
3x+7=25
subtract 7 from both sides
3x=18
divide 3 by both sides
x=6
and there is your answer.
Using SOH CAH TOA
Sin =opposite/hypotenuse
that means opposite=2
Hypotenuse=3
Cos=Adjacent/Hypotenuse
Using Pythagorean theorem
Hyp^2=Opp^2 +Adj^2
3^2 =2^2+adj^2
9=4+adj^2
9-4=adj^2
5=adj^2
Taking the square root of both sides
√5=adj
:: cos=√5/3