Answer:
Option A.
Step-by-step explanation:
step 1
we know that
The equation of the solid line is
The solution is the shaded area above the solid line
so
The equation of the first inequality is
step 2
The equation of the dashed line is
The solution is the shaded area above the dashed line
so
The equation of the second inequality is
therefore
The system of inequalities could be
Answer:
E-F and E-D
C-B and C-D
Step-by-step explanation:
The circle and triangle are as shown. The options are:
- A-B and C-B
- E-F and E-D
- E-D and C-D
- A-F and E-F
- C-B and C-D
By drawing radius lines from the center of the circle to the tangent points B, D, and F, we can divide the triangle into 3 kites. Therefore, only segments that are legs of the same kite are congruent. So the answer must be E-F and E-D, and C-B and C-D.
Answer:
(4) 5 m
Step-by-step explanation:
You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.
<h3>Volume</h3>
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the base:
B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle
Using these formulas together, we have ...
V = 1/2(2.5 m)(2 m)x
12.5 m³ = 2.5x m²
Dividing by 2.5 m², we find x to be ...
(12.5 m³)/(2.5 m²) = x = 5 m
The dimension labeled x has length 5 meters.
Answer: 62
Step-by-Step Explanation:
First Term (a) = 7
Common Difference (d) = 12 - 7 = 5
Term to Find (n) = 12th
Therefore, finding the 12th Term :-
=> a+(n-1)d
= 7 + (12 - 1)5
= 7 + (11)5
= 7 + 55
=> 62
Hence, 12th Term of this AP is 62
Answer:
They made 2 batches
Step-by-step explanation:
If the factory used ⅔, and 1 batch is ⅓, the factory made 1 batch for each 3rd they used. ⅔, 2 batches
