Answer:
Solution given:
length[a]=3cm
base(b)=7cm
hypotenuse [c]=?
we have
by using Pythagoras law
a²+b²=c²
3²+7²=c²
c=√58=7.61m
<u>the length of the hypotenuse is 7.61</u><u> </u><u>o</u><u>r</u><u> </u><u>7</u><u>.</u><u>6</u><u> </u><u>o</u><u>r</u><u>8</u><u>m.</u>
Question 1 is F question 2 is D
Answer:
36 ft by 16 ft
Step-by-step explanation:
To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.
The area is the product of length and width, so if w represents the width, we have ...
w(52 -w) = 576
w² -52w = -576 . . . . . eliminate parentheses, multiply by -1
w² -52w +26² = 26² -576 . . . . . . complete the square
(w -26)² = 676 -576 = 100
w = 26 ±√100 = {16, 36}
If the width is the short dimension, it is 16 feet. Then the length is 36 feet.
Answer:
quarterly N = 4
semi-annually N = 2
Monthly N = 12
annually N = 1
Step-by-step explanation:
Given the following compound interest times :
N = number of times interest is compounded per period :
A period is regarded as a whole year.
Interest compounded;
QUARTERLY = Every 4 months per period = 12/3= 4
SEMI ANNUALLY = Every 6 months per period = 12/6 = 2
MONTHLY = Every month = 12 / 1 = 12
ANNUALLY = Every 12 months = 12 /12 = 1
I hope this helps you
x=y+4
3 (y+4)+y=8
3y+12+y=8
4y= -4
y= -1
x= -1+4
x=3
(3, -1)
