Answer:
1) 1/10
2)16/100
3)6..../10
4) 3/5
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Step-by-step explanation:
Answer:
The second expression is the product of the above expressions.....
Answer:
90 sq inches
Step-by-step explanation:
The lateral area is the side area of the pyramid. In this case, there are 3 sides because the base is a triangle. Since the base is an equilateral triangle, all sides are of equal dimensions. So, the sides of the pyramid are also all of the same size, area.
We then just have to figure out the area of one of the side triangles, then multiply it by 3 to get the total lateral area of that pyramid.
We know how to calculate the area of a triangle: A = (b * h)/2
In this case, b = 5 in, h = 12 in. So,
TA = (5 * 12)/2 = 60 / 2 = 30
Each side triangle has an area of 30 sq inches.
LA = 3 * TA (since there are 3 sides)
LA = 3 * 30 = 90 sq inches
Answer:
x=-2
Step-by-step explanation:
Let's solve your equation step-by-step.
−6x=5x+22
Step 1: Subtract 5x from both sides.
−6x−5x=5x+22−5x
−11x=22
Step 2: Divide both sides by -11.
−11x
−11
=
22
−11
x=−2
Answer:
y= -3x + 11
Step-by-step explanation:
Slope formula: y^2- y^1 divide by x^2- x^1
y^2 is -1
y^1 is 5
x^2 is 4
x^1 is 2
-1 - 5 = -6
4 - 2 = 2
-6/2 = - 3
Y-intercept: Using the slope and either of the two points, replace the <em>y</em><em>,</em><em> </em><em>m</em><em>,</em><em> </em>and <em>x</em> in y= mx+b.
Using (2, 5)
5= -3(2) + b
5= -6 + b
Add 6 to both sides in order to eliminate -6.
-6 + 6 = 0
5 + 6 = 11
11 = b
Combine your slope-intercept formula:
y= 3x + 11