Answer:
A. d ≤ –7 or d > 8.
Step-by-step explanation:
Given : 2d + 3 ≤ –11 or 3d – 9 > 15.
To find : What are the solutions of the compound inequality .
Solution : We have given 2d + 3 ≤ –11 or 3d – 9 > 15.
For 2d + 3 ≤ –11
On subtracting both sides by 3
2d ≤ –11 - 3 .
2d ≤ –14.
On dividing both sides by 2 .
d ≤ –7.
For 3d – 9 > 15.
On adding both sides by 9.
3d > 15 + 9 .
3d > 24 .
On dividing both sides by 3 .
d > 8 .
So, A. d ≤ –7 or d > 8.
Therefore, A. d ≤ –7 or d > 8.
Answer: 60° angle
Step-by-step explanation: AGD is a 90° angle, therefore, subtracting 30 from the 90 degrees gives you 60. As x is vertical to the 60 degree angle and verticals have the same degree measurement, x=60°.
ANSWER :
Surface area of larger cone : 24π units^2
Surface area of smaller cone : 6π units^2
The surface area of the smaller cone is 25% of that of the larger cone.
EXPLANATION :
From the given problem,
AB = 3 is the radius of the larger cone and the slanted height is BC = 5
DE = 1.5 is the radius of the smaller cone and the slanted height is EC = 2.5
Recall the surface area of the cone :

where r = radius and L = slanted height.
For the larger cone, r = 3 and L = 5

For the smaller cone, r = 1.5 and L = 2.5

Comparing the surface areas :
The area of the smaller cone compared to the larger cone is :
Answer:
B
Step-by-step explanation:
the question asks you to order from least to greatest by the exponents. So it would be "B" because negative 6 is less then -5 and -5 is less then 1
Answer:
20.
Step-by-step explanation:
We found the factors and prime factorization of 80 and 100. The biggest common factor number is the GCF number. So the greatest common factor 80 and 100 is 20