9514 1404 393
Answer:
(a) 1.2b
(b) 1.4h
(c) A = 1.68bh
(d) 68%
Step-by-step explanation:
(a) If 20% of b is added to b, you have ...
b + 0.20b = 1.2b
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(b) Similarly, if 40% of h is added to h, you have ...
1.4h
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(c) The area of the new rectangle is the product of the new dimensions:
A = (1.2b)(1.4h)
A = 1.68bh
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(d) The original rectangle area is A = bh, so the percentage change can be computed as ...
(A'/A -1)×100% = ((1.68bh)/(bh) -1)×100% = (1.68 -1)×100% = 68%
The given increases in base and height increase the area by 68%.
Answer:
With 3 3/8 cups of sugar Haley can make one and a half pie.
Step-by-step explanation:
The amount of sugar required to make each pie = 2 1/4 cup
Now, 
So, Haley uses 2.25 cup of sugar foe each pie.
Total cups of Sugar Haley has = 3 3/8 cups.
Now, 
So, the total amount of sugar Haley has is 3.375 cups.
Now, 
= 
or the number of pies she can make = 1.5
Hence, with 3 3/8 cups of sugar Haley can Make 1 1/2 pie.
Answer: V = 4/3(3.14)(4.74)^3
That works out to 445.8650285
Rounded to 445.87 cubic inches.
Step-by-step explanation:
The basic formula for the volume of a sphere is
V = 4/3 πr³
Substitute a common value for π, 3.14 and the radius given.
When we use this formula, we find the volume is 445.87 in³
Any line parallel to the given line will have the same slope as does the given line. Here that slope is -9.
The new line passes thru (-2,5).
Therefore, using the slope-intercept form,
5 = -9(-2) + b. Find b: 5 = 18 + b, so b = -13. The equation of the new, parallel line is then
y = -9x - 13 (answer to first question).
If you want the slope of a line perpendicular to the given line, use the "negative reciprocal" of the slope of the given line as the slope of the new, perpendicular line. Thus, the new slope will be -1/(-9), or (+1/9).
Use the slope-intercept form, with slope = (1/9), to find the line perpendicular to the given line that passes thru the given point. Share your work, please.
