Answers + Explanation:
1. x + 7 =10
if you know some number + 7 is 10, you know that number must be 3.
so, x = 3
the other way you can solve this would be:
x + 7 = 10
subtract 7 from both sides of the equation
x + 7 - 7 = 10 - 7
x = 3
2. Use the same strategy:
x - 8 = -5
add 8 to both sides of the equation
x - 8 + 8 = -5 + 8
x = 3
3. x + 3 = 6
subtract 3 from both sides of the equation
x + 3 - 3 = 6 - 3
x = 3
4. x + 6 = 3
subtract 6 from both sides of the equation
x + 6 - 6 = 3 - 6
x = -3
The area of the rectangle is length times width, that is
A = L*W
The problem requires the width so
W = A/L
Given that A = 437 sq. cm and L = 19 cm, therefore
W = 437/19 = 23 cm
That is the answer.
Answer:
The difference is 3 papers per hour
Step-by-step explanation:
First, you make turn the 10 minutes to 60 minutes by multiplied by 6 and the same to three and you would get 18 paper per hour. Next, you simplify the 8 minute rate to 1 paper in 4 minutes then multiply the 4 by 15 = 60 minutes then the same to the 1 equal to 15 paper per hour. Finally, you subtract 18 - 15 = 3 paper.
Use the property of similarity of triangles =》the corresponding sides of a triangle should be in the same ratio.
Take the missing side as 'x'.
The corresponding sides here are,
■ 7 & 14 ft
■ 5 & x ft
7/14 = 5/x
7x = 5 × 14 (cross multiplication)
7x = 70
x = 70/7
x = 10 ft
Height of the tree = 10 ft.
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Hope it helps ⚜
Answer:
61 degrees
Step-by-step explanation:
==>Given ∆MNO,
MO = 18,
MN = 6
m<O = 17°
==>Required:
Measure of <N
==>SOLUTION:
Use the sine formula for finding measure of angles which is given as: Sine A/a = Sine B/b = Sine C/c
Where,
Sine A = 17°
a = 6
Sine B = N
b = 18
Thus,
sin(17)/6 = sin(N)/18
Cross multiply
sin(17)*18 = sin(N)*6
0.2924*18 = 6*sin(N)
5.2632 = 6*sin(N)
Divide both sides by 6
5.2632/6 = sin(N)
0.8772 = sin(N)
sin(N) = 0.8772
N = sin^-1(0.8772)
N ≈ 61° (approximated)
