Answer:
<h2><em>
4x³</em></h2>
Step-by-step explanation:
8x⁴y⁴ = 4×2×x³×x¹×y⁴ = 4x³×(2xy⁴)
12x³z² = 4×3×x³×z² = 4x³×(3z²)
Then the greatest common factor is of the two terms 8x⁴y⁴ and 12x³z² is:
4x³
Hi there!
To find this you can simply use a calculator. All you have to do is divide the numerator by the denominator to see what you get.
7/200 in decimal form is 0.035. Pretty simple.
This fraction cannot be simplified.
Hope this helps!
Applying the angle of intersecting chords theorem, the value of z is: D. 100.
<h3>What is the Angle of Intersecting Chords Theorem?</h3>
According to the angle of intersecting chords theorem, in a circle like the one shown in the image above, where two chords intersect to form vertical angles, the theorem states that the angle formed equals half of the sum of the measures of the arcs intercepted by the angles.
Applying the angle of intersecting chords theorem, let's find x first:
73 = 1/2(96 + x)
Multiply both sides by 2
2 × (73) = 1/2(96 + x) × 2
146 = 96 + x
Subtract both sides by 96
146 - 96 = 96 + x - 96
50 = x
x = 50°
Therefore:
x + z + 96 + 114 = 360° [full circle measure]
Plug in the value of x
50 + z + 96 + 114 = 360
z + 260 = 360
Subtract both sides by 260
z + 260 - 260 = 360 - 260
z = 100°
The answer is: D. 100°.
Learn more about the angle of intersecting chords theorem on:
brainly.com/question/23732231
#SPJ1
There are two ways you could go about solving this.
You could divide the length of the base (6mm) by 2 and use that to find the area or you could find the area of the whole triangle using 6mm and divide that by 2.
I will use the first method I described:
base = 6/2
base = 3 mm
height = 5.2 mm
area = bh/2
area = (3 * 5.2)/2
area = 7.8 square mm
(don't forget your units)
Using the other method would look like this:
area = bh/2
b = 6
h = 5.2
area = (6 * 5.2)/2
area = 15.6 square mm
area/2 = 7.8 square mm
As you can see either method yields the same result.
Hope this helped.
Cheers and good luck,
Brian
45 min. - 4 peoples - 5 walls
? min. - 6 peoples - 4 walls
-------------------------------------------
180 min. - 1 man - 5 walls ⇒
36 min. - 1 man - 1 wall ⇒
6 min. - 6 peoples - 1 wall ⇒
24 min. - 6 peoples - 4 walls (answer)
