Answer:
(b) 1:9
(c) 1:8
Step-by-step explanation:
(b) x*y : kx*ky, so 1:k² with k=3 is 1:9
(c) Assuming the rectangles get a z dimension, the volumes would have a ratio of xyz : xkykzk = xyz : xyzk³ = 1 : k³. With k=2 that is 1:8. But the z was never introduced so this is a bit inconclusive.
Answer:
Numbers are 28 and -15
Step-by-step explanation:
Mark first number X, and second number Y, then:
x-y=43
and
x+y=13
We get system of two equations. Solve it by add both them together:
x-y+x+y=43+13
2x=56
x=28 we get first number
x+y=13
28+y=13
y=13-28
y=-15
SA= Lateral Area + Area (of base)
Lateral area = perimeter of base x height
An isosceles triangle has two congruent base segments. The hypotenuse of an isosceles right triangle is (length of base segment) x (the square root of 2). I did the math for you (shown above) to get 5 as a base.
So 5 + 5 + square root of 50 is your perimeter
Multiply the perimeter times your height (8) and you get the lateral area.
Add your lateral area to the base area (triangle = 1/2 bh)
LA = 136.568...
Area of Triangle base = 12.5
Surface area = 149.068... square cm
Answer: 2160°
Step-by-step explanation:
The sum of angles in a polygon is represented by the formula:
Sum = (n - 2) x 180° where n is the number of sides in the polygon
In this case, the complex polygon has 14 sides (n = 14)
So, (14 - 2) x 180°
= 12 x 180°
= 2160°
Thus, the sum of interior angles of a convex 14-gon is 2160°
<u>Answer:</u>
40%
<u>Step-by-step explanation:</u>
We are given that last month, Joe's puppy weight 5.4 pounds while this month, the puppy weighed 7.56 pounds.
We are to find the percentage increase of the weight of the puppy
We know that the formula of percentage increase if given by:
<em>Percentage increase = (new value - initial value)/initial value × 100</em>
So substituting the given values to get:
Percentage increase in puppy's weight =
= 40%