Answer:
26/3 or 8.67
Step-by-step explanation:
Arc lengths are congruent and the radii are the same implies angle at the centre is also equal,
Hence length of the chords are equal too
4x+2 = x+7
3x = 5
x = 5/3 or 1.67
Length of QR = 4x+2
= 4(5/3) +2
= 20/3 + 2
= 26/3 = 8.67
Answer:
7) no 8) no 9) no 10)yes 11) yes 12) yes 13) k=42 14) c=30 15)a=42
Step-by-step explanation:
To solve this problem, you must follow the proccedure below:
1. T<span>he block was cube-shaped with side lengths of 9 inches and to calculate its volume (V1), you must apply the following formula:
V1=s</span>³
<span>
s is the side of the cube (s=9)
2. Therefore, you have:
V1=s</span>³
V1=(9 inches)³
V1=729 inches³
<span>
3. The lengths of the sides of the hole is 3 inches. Therefore, you must calculate its volume (V2) by applying the formula for calculate the volume of a rectangular prism:
V2=LxWxH
L is the length (L=3 inches).
W is the width (W=3 inches).
H is the heigth (H=9 inches).
4. Therefore, you have:
V2=(3 inches)(3 inches)(9 inches)
V2=81 inches
</span><span>
5. The amount of wood that was left after the hole was cut out, is:
</span>
Vt=V1-V2
Vt=648 inches³
<span>Vector Ā * Vector B = -10. This is the scalar dot product and can calculated by taking the magnitude in the x, y, and z of the two vectors and the operation is done.
The angle </span> Ɵ AB between vector Ā and vector B is 133.635°.
<span>2 Vector B * 3 Vector C = -1. A similar approach is done for this one.</span>