Hello there
36+4=40 people in one bus
In 6 buses how many people?
40•6=240 people are going on the field trip
:D
Answer:
Pythagoras’ theorem is a way to find a side or hypothesis when you have 2 sides.
The formula is: a^2 + b^2 = c^2
a and b are sides
c is the hypothesis
<u>Ex: A triangle has a leg that is 5 inches and a leg that is 7 inches. Find the hypothesis using Pythagoras' theorem. </u>
A leg is another way of saying a side.
5^2 + 7^2 = c^2
25 + 49 = x^2
sqrt(74) = sqrt(x^2)
sqrt(74) inches = hypothesis
<u>Ex: A triangle has a leg that is 9 feet and a hypothesis that is 25 feet. Find the other leg using Pythagoras' theorem. </u>
9^2 + b^2 = 25^2
81 + b^2 - 81 = 625 - 81
sqrt(b^2) = sqrt(544)
b = sqrt(554)
Do you understand more?
-9/15y+3/21=5/15y-14/21
Move 5/15y to the other side. Sign changes from +5/15y to -5/15y
-9/15y-5/15y+3/21=5/15y-5/15y-14/21
-14/15y+3/21=-14/21
Move 3/21 to the other side. Sign changes from +3/21 to -3/21.
-14/15y+3/21-3/21=-14/21-3/21
-14/15y=-14/21-3/21
-14/21-3/21=-17/21
-14/15y=-17/21
Multiply both sides by -15/14
-14/15y(-15/14)
Cross out 15 and 15, divide by 15 then becomes 1
Cross out 14 and 14, divide by 14 then becomes 1
1*1*y=y
-17/21*-15/14
Cross out 15 and 21 , divide by 3. 15/3=2, 21/3=7
17/7*5/14=85/98
Answer: c. y=85/98
Answer:
10 in
Step-by-step explanation:
Old proportions:
2 x 3
New proportions
h x 15
Assuming the painting has been increased by a constant scale factor.
Where x is the unknown scale factor, and h is the height after it has been enlarged.
![3 * x = 15\\2 * x = h](https://tex.z-dn.net/?f=3%20%2A%20x%20%3D%2015%5C%5C2%20%2A%20x%20%3D%20h)
Rearrange second equation:
![3 * x = 15\\x =\frac{h}{2}](https://tex.z-dn.net/?f=3%20%2A%20x%20%3D%2015%5C%5Cx%20%3D%5Cfrac%7Bh%7D%7B2%7D)
Substitute:
![3*\frac{h}{2} =15\\\frac{h}{2}=5\\h=10](https://tex.z-dn.net/?f=3%2A%5Cfrac%7Bh%7D%7B2%7D%20%3D15%5C%5C%5Cfrac%7Bh%7D%7B2%7D%3D5%5C%5Ch%3D10)
Y(hat) = 14x + 1
y(hat) = 14(12) + 1
y(hat) = 168 + 1
y(hat) = 169
Residual = y - y(hat)
12 - 169
Res = - 157