Answer:
Step-by-step explanation:
We can use Hypotenuse Theorem for this:
For triangle ABC,
AC²=CB²+BA²
9²=CB²+3²
Switch the sides
-CB²=3² -9²
-CB²= 9-81
-CB²= -72
the signs cut each other
CB²=72
the square changes sides
CB=√72
CB= 8.49 cm
Now triangle CBD
We have the length of CB but not the other two whereas we have the angle
It will be sin
As we know sin= O/H
Here O is CB whereas H is CD
Put the values
sin 50= 8.49/H
H= 8.49 ÷sin 50
Calculate
H=11.1 cm
As we know H is CD so CD is 11.1 cm
Hope it helps
Answer:
B.) StartFraction 5 StartRoot 11 EndRoot + 5 StartRoot 3 EndRoot Over 8 EndFraction
Step-by-step explanation:
edge 2020
Answer:
Volume of cubical tank = 0.278 yard³ (Approx.)
Step-by-step explanation:
Given:
Length of tank = 1/2 yard
Width of tank = 1/6 yard
Height of tank = 1/3 yard
Find:
Volume of cubical tank
Computation;
⇒ Volume of cubic block = (length)(width)(height)
⇒ Volume of cubical tank = (1/2)(1/6)(1/3)
⇒ Volume of cubical tank = 1/36 yard³
Volume of cubical tank = 0.278 yard³ (Approx.)
To calculate for the area of the triangle given all its side, use the Heron's formula which is,
A = sqrt ((s)(s - a)(s - b)(s - c))
where A is the area. a, b, and c are the measure of the sides and s the semi - perimeter or half of the perimeter.
With the given above, s = (17 + 18 + 21.4) / 2 = 28.2
Substituting the known dimensions to the Heron's formula,
A = sqrt ((28.2)(28.2 - 17)(28.2 - 18)(28.2 - 21.4)) = 148 units^3
Thus, the area of the triangle is 148 units^3.
Answer:
4:7
Step-by-step explanation:
3:5=6:10/2=3:5
9:15=9:15/3=3:5