Answer: 
Step-by-step explanation:
Given
For figure (i) both triangles are congruent
For figure (ii)
Two triangles WXZ and WZY are congruent
Answer:
The length of each side of the 9 in
Step-by-step explanation:
The volume of the gift box is 972 in. The height of the gift box is 12 inches
and the area of the base is 81 in².
We want to determine the length of each side of the square base if the base shape is a square.
Recall that, the area of a square is
It was given that, the area of this base is 81 in²
Take positive square root:
In triangle ABC,
AC = 12/ (sin30) = 12 / (1/2) = 24
DC = 24-x
DB = DC tan 30 = (24-x) tan30 <span>=(24−x)/</span><span>√3
</span>
In triangle ADB using Pythagorean Theorem<span><span>x2</span>+((24−x)/<span>√3</span><span>)2</span>=<span>12^2</span></span><span><span>x2</span>+(24−x<span>)^2</span>/3=<span>12^2</span></span><span>3<span>x2</span>+(24−x<span>)^2</span>=432</span><span>4<span>x2</span>−48x+576=432</span><span>4<span>x2</span>−48x+144=0</span><span><span><span>x2</span>−12x+36=0
x1 = x2 =6
AD = AC - DC = 24- (24-x) = 6</span></span>
Answer:
Step-by-step explanation:
240,000 is a whole number. Now do the power of ten lol. Use a calculator. Remember don't do it all at once. The powers mean multiplying separate for example: 10×10 equals 100. I hundred times10 equals 1000. That is powered by three because it is multiplying 1030 different times which makes it the power. Simple math these days ha ha
