Oh, this is easy. For any prism, you find the surface area by finding the are of all the sides. I will post all surface area formulas here, for reference
Cube:
Surface area = 6 × a2
Right circular cylinder:
Surface area = 2 × pi × r2 + 2 × pi × r × h
pi = 3.14
h is the height
r is the radius
Rectangular prism:
Surface area = 2 × l × w + 2 × l × h + 2 × w × h
l is the length
w is the width
h is the height
Sphere:
Surface area = 4 × pi × r2
pi = 3.14
r is the radius
Right circular cone:
Surface area = pi × r2 + pi × r ×( √(h2 + r2))
pi = 3.14
r is the radius
h is the height
l is the slant height
Right square pyramid:
Surface area = s2 + 2 × s × l
s is the length of the base
h is the height
l is the slant height
On the top problem: Angle A and Angle B are a right angle so it equals 90 degrees. If Angle B is 50 degrees that makes Angle A 40 degrees. Angle A and Angle C is a straight line and equals 180 degrees so if Angle A equals 40 degrees that means Angle C equals 140 degrees.
The equation that shows the correct relationship between the measures of the angles of the two triangles is;
Option D: The measure of angle BCA = The measure of angle C prime A prime B prime
<h3>How to Interpret Objects Transformation?</h3>
We are told that Triangle ABC is transformed to triangle A′B′C′.
Now, the triangle ABC and A'B'C' are similar triangles and we know that similar triangles angles are congruent. Thus;
From the given coordinates, we can say that;
∠BAC = ∠B'A'C'
∠ABC = ∠A'B'C'
∠ACB = ∠A'C'B'
Thus, the equation that shows the correct relationship between the measures of the angles of the two triangles is;
The measure of angle BCA = The measure of angle C prime A prime B prime
Read more about Objects Transformation at; brainly.com/question/2512124
#SPJ1
Answer:
Given MC = 4
AN = 14
To Find, the length of NB
Step-by-step explanation:
AB is a line which has midpoint “C”. Now the line is divided into two equal portion AC and CB.
The AC has midpoint “M” and MC is 4, so AM will also be 4.
N is the midpoint of CB. So, CB = CN + NB
Now we know AC = AM + MC = 4 + 4 =8
Given, AN = 14
AN = AC + CN
14 = 8 + CN
CN = 6
Since N is the midpoint of CB then, CN = NB
Therefore, the NB is 6