Answer:
We conclude that segment QR is the shortest.
Hence, option B is true.
Step-by-step explanation:
First, we need to determine the missing angle m∠R
Given the triangle Δ∠PQR
m∠P = 48°
m∠Q = 83°
m∠R = ?
We know the sum of angles of a triangle is 180°.
m∠P+m∠Q+m∠R = 180°
48°+83°+m∠R=180°
m∠R = 180° - 48° - 83°
m∠R = 49°
Thus, the value of m∠R = 49°
We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Here,
m∠P = 48° is the shortest angle.
As the side QR segment is opposite the smallest angle i.e. m∠P = 48°
Therefore, we conclude that segment QR is the shortest.
Hence, option B is true.
Answer:
The answer to your question is 2x² - 29x + 26
Step-by-step explanation:
dividend = 6x³ - 25x² + 20x + 4
divisor = 3x + 2
2x² - 29x + 26
3x + 2 6x³ - 25x² + 20x + 4
-6x³ - 4x²
0 - 29x² + 20x
+ 29x² + 58x
0 78x + 4
-78x - 52
0 - 48
quotient = 2x² - 29x + 26
remainder = -48
Result = 2x² - 29x + 26 - 48/6x³ - 25x² + 20x + 4
Answer:
Radius = 8.575 cm
Step-by-step explanation:
Formula for volume of a pyramid is;
V_p = ½Ah
Where A is area of base and h is height
Also, formula for volume of cone is given as;
V_c = ⅓πr²h
Now, we are told that V_p = V_c and that h is the same for both shapes.
Thus ;
½Ah = ⅓πr²h
h will cancel out to give;
½A = ⅓πr²
Cross multiply to give;
3A/2π = r²
Base area of pyramid is given as 154 cm². Thus;
(3 × 154)/2π = r²
r = √((3 × 154)/2π
r = 8.575 cm
D) c=3p+2 3 caterpillars per plant and 2 on ground
