1) Formula: area = height * base / 2
2) Call x the height:
height = x
base = 2x
3) State the equation:
(x)(2x) = 49 in^2
4) Solve the equation:
2x^2 = 49 in^s
x^2 = (49/2) in^2
x = √(49/2) in
x = 7√2 / 2 in = 3.5 √2 in
5) Solution:
height = 3.5 √2 in and base = 7√2 in
6) Verification: area = (7√2 in) (3.5√2 in) = 49 in^2
Answer: height = 3.5√2 in and base = 7√2 in.
Answer:
The answer to your question is 192 pretzels
Step-by-step explanation:
Data
number of pieces = 8
length of each piece = 2 ft
length of each pretzel = 1 in
number of pretzels = x
Process
1.- Convert ft to in
1 ft --------------- 12 in
2 ft --------------- x
x = (2 x 12) / 1
x = 24 ft
2.- Divide the length of each piece by the length of each pretzel
24/1 = 24 pretzels per piece
3.- Multiply the number of pretzels per the number of pieces
24 x 8 = 192 pretzels
Answer:
6
Step-by-step explanation:
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation
.
If a line has the slope of -0.5, then m=-0.5 and the equation of the line is
![y=-0.5x+b](https://tex.z-dn.net/?f=y%3D-0.5x%2Bb)
This line passes throughthe point (10,1), then the coordinates of this point satisfy the equation of the line:
![1=-0.5\cdot 10+b\\ \\1=-5+b\\ \\b=1+5\\ \\b=6](https://tex.z-dn.net/?f=1%3D-0.5%5Ccdot%2010%2Bb%5C%5C%20%5C%5C1%3D-5%2Bb%5C%5C%20%5C%5Cb%3D1%2B5%5C%5C%20%5C%5Cb%3D6)
and the equation of the line is
![y=-0.5x+6](https://tex.z-dn.net/?f=y%3D-0.5x%2B6)
Since b=6, the y-intercept of the line is 6.
i. 171
ii. 162
iii. 297
Solution,
n(U)= 630
n(I)= 333
n(T)= 168
i. Let n(I intersection T ) be X
![333 - x + x + 468 - x = 630 \\ or \: 333 + 468 - x = 630 \\ or \: 801 - x = 630 \\ or \: - x = 630 - 801 \\ or \: - x = - 171 \\ x = 171](https://tex.z-dn.net/?f=333%20-%20x%20%2B%20x%20%2B%20468%20-%20x%20%3D%20630%20%5C%5C%20or%20%5C%3A%20333%20%2B%20468%20-%20x%20%3D%20630%20%5C%5C%20or%20%5C%3A%20801%20-%20x%20%3D%20630%20%5C%5C%20or%20%5C%3A%20%20-%20x%20%3D%20630%20-%20801%20%5C%5C%20or%20%5C%3A%20%20-%20x%20%3D%20%20-%20171%20%5C%5C%20x%20%3D%20171)
<h3>ii.
n(only I)= n(I) - n(I intersection T)</h3><h3>
= 333 - 171</h3><h3>
= 162</h3>
<h3>
iii. n ( only T)= n( T) - n( I intersection T)</h3><h3>
= 468 - 171</h3><h3>
= 297</h3>
<h3>
Venn- diagram is shown in the attached picture.</h3>
Hope this helps...
Good luck on your assignment...
Answer:
4 miles
Step-by-step explanation: