Answer:
hypotenuse = 10
Step-by-step explanation:
If you can tell at first glance it is a 3,4,5 triangle (6,8,10)/2=(3,4,5). Then you know that c has to equal 5.
If not,
a^2+b^2=c^2
6^2+8^2=c^2
36+64=c^2
100=c^2
10=c
Answer:
the surface area of the decoration is 31.5
Step-by-step explanation:
Answer:
3.) 0.894
Step-by-step explanation:
✔️First, find BD using Pythagorean Theorem:
BD² = BC² - DC²
BC = 17.89
DC = 16
Plug in the values
BD² = 17.89² - 16²
BD² = 64.0521
BD = √64.0521
BD = 8.0 (nearest tenth)
✔️Next, find AD using the right triangle altitude theorem:
BD = √(AD*DC)
Plug in the values into the equation
8 = √(AD*16)
Square both sides
8² = AD*16
64 = AD*16
Divide both sides by 16
4 = AD
AD = 4
✔️Find AB using Pythagorean Theorem:
AB = √(BD² + AD²)
AB = √(8² + 4²)
AB = √(64 + 16)
AB = √(80)
AB = 8.9 (nearest tenth)
✔️Find sin x using trigonometric ratio formula:
Reference angle = x
Opposite side = BD = 8
Hypotenuse = AB = 8.944
Thus:
(nearest thousandth)
Answer:
m<F=50
Step-by-step explanation:
complementary angles mean that together they equal 90, we need to set up an equation to find x, and then put x into angle F to find its measurement :)
m<C+m<F=90
(2x+10)+(x+35)=90
calculate to find x!
x=15
now we put 15 into (x+35)
15+35=50
hope this helps!! :D