Step-by-step explanation:
1/1 , 3
3/1 , 3
1 , 1
HCF is 1
LCM is 3 × 1 =3
2/2 , 9
3/1 , 9
3/1 , 3
1 , 1
HCF is 1
LCM is 3 × 3 × 2= 18
Answer:
Step-by-step explanation:
<u>∠A≅∠E, ∠B≅∠F and ∠C is common and congruent to itself, therefore</u>
- ΔABC ~ ΔEFC by AA similarity
<u>Ratio of corresponding sides is same. Get the equation below and solve for x:</u>
- EC/AC = CF/CB
- x/17 = (16+22)/16
- x/17 = 38/16
- x/17 = 19/8
- x = 17*19/8
- x = 40.375
❤️Hello!❤️For experimental data it may be good to use linear regression.
For precise data you do not need linear regression.
Step-by-step explanation: If you have a number of experimentally generated data points that are subject to inaccuracies then you can use something like linear regression to generate a linear model that fits the data reasonably well. Many modern calculators have a linear regression capability.
On the other hand, if you are given precise data, you should be able to generate a model that fits the data exactly. For example, given points (
x
1
,
y
1
) and (
x
2
,
y
2
) which are supposed to lie on a line, the equation of the line in point-slope form is:
y
−
y
1
=
m
(
x
−
x
1) where m
=
y
2
−
y
1
x
2
−
x
1 from which we can derive the slope-intercept form:
y
=
m
x
+
c where c
=
y
1
−
m
x
1. ☯️Hope this helps!☯️ ↪️ Autumn ↩️
Answer:
<h2>Volume = 1659.84</h2><h2>Surface area = 1205.36</h2>
Step-by-step explanation:
Volume for triangular prism = 1/2 * b * l * h
we are given the length and the height but not the base.
since it is a right triangle we can use the Pythagorean theorem a^2 + b^2 = c^2
13.3^2 + b^2 = 20.5^2
176.89 + b^2 = 420.25
b^2 = 243.36
b =
= 15.6
1/2 (15.6)(13.3)(16) = 1659.84
Front: 15.6 x 13.3 = 207.48
Back: 15.6 x 13.3 = 207.48
Left: 15.6 x 16 = 249.6
Right: 13.3 x 16 = 212.8
Bottom: 20.5 x 16 = 328
207.48 + 207.48 + 249.6 + 212.8 + 328 = 1205.36
30÷4=7.5
45÷7.5=6
you will need about 6 gallons of water to fill it.