Answer:
23/7
Step-by-step explanation:
-7x+6=-17
-7x=-17-6
-7x=-23
7x=23
x=23/7
Answer:
Therefore,
AD = 7 unit
AE = 600 unit
EF = 30 unit
FB = 5 unit
Ar(EFGH)= 210 unit²
Ar(ABCD)= 4445 unit²
Step-by-step explanation:
Given:
Consider a rectangle ABCD as shown in the figure below where,
Area (ABCD) = 635 × 7 = 4445
Therefore length and width of a rectangle will be
LENGTH =635 = AB
WIDTH = 7 = AD
To Find:
AE =?
EF = ?
FB = ?
Ar(EFGH)=?
Ar(ABCD) =?
Solution:
We know that area of the rectangle is given by
Substituting the values we get
Similarly for area rectangle FBCG,
Now we have
AB = 635,
Similarly for area rectangle EFGH,
Therefore,
AD = 7 unit
AE = 600 unit
EF = 30 unit
FB = 5 unit
Ar(EFGH)= 210 unit²
Ar(ABCD)= 4445 unit²
Volume = 105in³
Mass = 871.5g
To find the volume of the metal we can find the area of a base, and multiply it by the prism's width.
The base is 30cm in area, and the width is 3.5cm, which makes the volume 105in³
The mass of the doorstop can be found by just multiplying the grams per cubic centimeter by the volume, which would be 871.5g
Answer:
The equation of the line would be y = -1/3x - 4
Step-by-step explanation:
In order to find this, we first need to find the slope of the original line. We do this by solving for y.
2x + 6y = 10
6y = -2x + 10
y = -1/3x + 5/3
Now that we see the slope as -1/3, we know the new line will have the same slope thanks to the definition of parallel lines. So, we can use this slope and the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - -5 = -1/3(x - 3)
y + 5 = -1/3x + 1
y = -1/3x - 4
Answer:
B
Step-by-step explanation:
20 × 30 = 600
30 × 6 = 180
5 × 6 = 30
but 20 × 5 doesn't equal 10
