Answer:
width = 12.5
Step-by-step explanation:
rectangular volume = height * width * length
1200 = 4 * w * (20 + 4)
1200 = 4 * w * 24
1200 = 96w
12.5=w
Answer:
Kristina will!
Step-by-step explanation:
Both Krista and Kevin found the right answer to Stacey’s question. Stacey will invest $108 in company A if she invests $24 in company B.
<h3>
Answer:</h3>
<u>By angle bisector property</u>,
- 11x + 23 = 8x + 35
- 11x - 8x = 35 - 23
- 3x = 12
- x = 4°
So, <u>m∠ABD</u> = 8x + 35
<u>m∠CBD</u> = 11x + 23
<u>m∠ABC</u> = 67° + 67° = 134°
Answer:
See explanation
Step-by-step explanation:
The given trigonometric equation is
.
We take the inverse cosine of both sides to get:

to the nearest degree
None of the options satisfies the given equation.
But if the question is actually;

Then;
.
.
.
.
Or
.
In this case the answer will be B
Answer:
The value of c = -0.5∈ (-1,0)
Step-by-step explanation:
<u>Step(i)</u>:-
Given function f(x) = 4x² +4x -3 on the interval [-1 ,0]
<u> Mean Value theorem</u>
Let 'f' be continuous on [a ,b] and differentiable on (a ,b). The there exists a Point 'c' in (a ,b) such that

<u>Step(ii):</u>-
Given f(x) = 4x² +4x -3 …(i)
Differentiating equation (i) with respective to 'x'
f¹(x) = 4(2x) +4(1) = 8x+4
<u>Step(iii)</u>:-
By using mean value theorem


8c+4 = -3-(-3)
8c+4 = 0
8c = -4

c ∈ (-1,0)
<u>Conclusion</u>:-
The value of c = -0.5∈ (-1,0)
<u></u>