Answer:
1) 5/6
2) 7/10
3) 3 1/8
4) 3 2/7
5) 1 8/9
Step-by-step explanation:
Answer:
19 cm
Step-by-step explanation:
Given :
Volume, V = 205 to the √3 = 205^√3
Height, h = 8.9
radius, r
Volume of cylinder:
V = πr²h
205 to the square root of 3 10094.275
company is designing a new cylindrical water bottle. The volume of the bottle will be 205 cm to the square root of 3 cm. The height of the water bottle is 8.9 cm. What is the radius of the water bottle?
10094.275 = π * r² * 8.9
10094.275 = 3.14 * 8.9 * r²
10094.275 = 27.946r²
r² = 10094.275 / 27.946
r² = 361.20643
r = √361.20643
r = 19 cm
Answer:
y
=
3
2
x
+
1
Explanation:
To find the slope
(
m
)
of the straight line that passes through two points
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
apply:
(
y
1
−
y
2
)
=
m
(
x
1
−
x
2
)
In this example our two points are
(
0
,
1
)
and
(
2
,
4
)
Hence:
(
1
−
4
)
=
m
(
0
−
2
)
−
3
=
−
2
m
→
m
=
3
2
The equation of a straight line in slope
(
m
)
and intercept
(
c
)
form is:
y
=
m
x
+
c
In this example:
y
=
3
2
x
+
c
Since the point
(
0
,
1
)
is on this line
→
1
=
0
+
c
Hence,
c
=
1
∴
y
=
3
2
x
+
1
is our required straight line.
Step-by-step explanation:
Using proportions, it is found that the coordinates of point B are given as follows:
A. (1.6, 0).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Point B is 3/4 of the way from AB to AC, hence:
The points are:
Then, to find the x-coordinate:
x + 2 = 3.6.
x = 1.6.
For the y-coordinate:
y + 3 = 3
y = 0.
Hence option A is correct.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
20 + 4 + 0.7 + 0.06 = 24.76 in expanded form.
