Answer:
396 
Step-by-step explanation:
Okay, so first we will find the triangle area.
9 * 8 = 72/2 = 36.
Now multiply this by 11 (the width of the prism)
36 * 11 = 396
The <em><u>correct answer</u></em> is:
AAS
Explanation:
AAS stands for "angle-angle-side." This states that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of another triangle, then the triangles are congruent.
In these triangles, we have ∠CAB ≅ ∠CDB given to us to begin with. Throughout the proof, we find that ∠ABC ≅ ∠DCB. We also have that CB is congruent to itself. This is two angles and a side not included, so this is AAS.
Answer:
30°
Step-by-step explanation:
TW UV
If an ARC subtends an angle in the circle (on the opposite side of the circumference), the measure of that angle will be HALF of the Arc. In other words, the Arc's measure will be DOUBLE of that angle.
The measure of the angle would be SAME if the angle subtended in the center of the circle, thought.
Now, looking at the image, we can see that:
Arc TW subtends Angle V and Angle U
*on the opposite side of the circumference*
So,
Angle V (measure given to be 30) is HALF of Arc TW, so
Arc TW = 2 * 30 = 60
So, Angle U is half of Arc TW
60/2 = 30
Hence,
<u>∠U = 30°</u>
Answer:
84 feet to the nearest foot.
Step-by-step explanation:
We have a right angled triangle with adjacent side (A) = 100 and you want to find the height of the tower, the opposite side (O).
A = 100 , O = ? so we need the tangent , (from SOH-CAH-TOA).
tan 40 = O/ 100
O = 100 tan 40
= 83.9 feet.
Answer:
Domain is the set of inputs that will give you a defined output.
In example, f(x)=5/x, the domain would be all real numbers except for 0, because if it would be 0, it would be 5/0 which would be undefined.
Range is the set of outputs that are possible.
In example, f(g)=g(0), the range would be 0.
