Answer:
a. Given,
b. Substitution
c. Subtraction of equality
d. Division of equality
e. Symmetric property of equality
Step-by-step explanation:
Given expression,
By substituting x = 5,
By subtraction property of equality,
Division property of equality,
By symmetric property of equality,
-Radical two (square root of two)/2
Because:
5pi/4 = 225 the reference angle for that is 45 degrees, cos 45 = Radical two (square root of two)/2 and because 225 is in quadrant three and only tangent is positive in quadrant 3, the cos is negative
Answer:
386
Step-by-step explanation:
Answer:
The top angle of the triangle is, X = 68°.
Step-by-step explanation:
Let there is a triangle named PQR with bottom corner angles ∠ P and ∠ Q and the ∠ R is the angle at the top.
Now, given that ∠ P = 31° and ∠ Q = 81° and we have to find out ∠ R i.e. X.
In Δ PQR, we know, ∠ P + ∠ Q + ∠ R = 180°
⇒ 31° + 81° + X = 180°
⇒ X = 68°
Therefore, the top angle of the triangle is 68°. (Answer)
Given:
- The right rectangular prism is made up of 48 cubes.
- Each cube has an edge length of 1/4 inch.
To Find:
- What is the volume of this prism?
Solution:
<u>Using formula: </u>
Substituting values in the formula:
Now,
Volume of 48 such cubes = Volume of 1 cube × 48 cubes
Hence,
- Volume of prism is <u>3/4 inch^3</u>
