Answer:
Step-by-step explanation:
Step one
Given data
On Monday, Jesse drank 3/4 of liter of water before jogging
and drank 3/5 of liter after jogging
In all, Jesse drank 3/4 and 3/5 liters of water
= 3/4+3/5
the lcm is 20
=15+12/20
=27/20
in mixed numbers(i.e a whole and a fraction together we have) we have
Answer:
394.9 cm
Step-by-step explanation:
The formula for a cone's surface area is A = π r ( r + √r^2 + h^2 ).
r = radius
h = height
The Pythagorean theorem, a^2 + b^2 = c^2, will be needed to find the height.
Plug in the values.
a(unknown)^2 + 6^2 = 15^2
A + 36 = 255
255 - 36 = 189
√189 ≈ 13.7
Surface area formula, plug in the values.
A = 3.14 × 6 ( 6 + √6^2 + 13.7^2 )
*PEMDAS*
A = 3.14 × 6 ( 6 + √36 + 187.69 )
A = 3.14 × 6 ( 6 + √223.69 )
A = 3.14 × 6 ( 6 + 14.95 )
A = 3.14 × 6 ( 20.96 )
A = 3.14 × 125.76
A = 394.8864
*round to nearest tenth*
A = 394.9 cm
Hope this helps! :)
Answer:
x > 10
Step-by-step explanation:
4(2x + 2) + 12 > 100
4(2x + 2) > 100 -12
4(2x + 2) > 88
2x + 2 > 22
2x> 22-2
2x > 20
x > 10
1. The values of p and q are: p=31 and q= 4
2. B(11, 29/5)
Further explanation:
<u>1. L(15. 1) is the midpoint of the straight line joining point (p. - 2) to point D(-1. q) find p and q.</u>
Given:
M = (15. 1)
(x1, y1) = (p, -2)
(x2, y2) = (-1, q)
The formula for mid-point is:
Hence,
p=31
q=4
<u>2. M is the midpoint of the straight line joining point A (3. 1/5) to point B.If m has coordinates (7. 3), find the coordinates of B.</u>
Here,
(x1,y1) = (3, 1/5)
(x2, y2) = ?
M(x,y) = (7,3)
Putting values in the formula of mid-point
So, the coordinates of point B are (11, 29/5) .
Keywords: Finding mid-point, Finding coordinates through mid-point
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