Answer:
BD = √97 cm ≈ 9.849 cm
Step-by-step explanation:
Diagonal BD of rectangle ABCD is the hypotenuse of right triangle ABD. Opposite sides of the rectangle are the same length, so we have ...
AB = 4 cm
AD = 9 cm
The sides are related to the diagonals by the Pythagorean theorem.
<h3>Pythagorean theorem</h3>
The Pythagorean theorem tells you the relation between sides and hypotenuse of a right triangle:
AB² +AD² = BD²
4² +9² = BD² = 16 +81 . . . . . evaluating the squares
BD = √97 . . . . . take the square root
The length of BD is √97 cm, about 9.849 cm.
Answer:
1. Equation is x - 5 = 8
x = 13
2. Equation is 4x - 4 = 10
x = 3.5
3. Equation is x/4 = 8
x = 32
4. Equation is 5x = 10
x = 2
5. Equation is x - 5 / 2 = 14
x = 33
6. Equation is 4x / 5 = 10
x = 12.5
7. Equation is 2x - 10 = 8
x = 9
8. Equation is 3x + 6 / 3 = 10
x = 8
9. Equation x + 8 / 4 = 14
x = 48
The next bigger ten is 913,620 .
The next smaller ten is 913,600.
913,610 is exactly in the middle between them.
913,610 is already written to the nearest ten.
Answer:
540
Step-by-step explanation:
1. We assume, that the number 900 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 900 is 100%, so we can write it down as 900=100%.
4. We know, that x is 3.5% of the output value, so we can write it down as x=3.5%.
5. Now we have two simple equations:
1) 900=100%
2) x=3.5%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
900/x=100%/3.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 3.5% of 900
900/x=100/3.5
(900/x)*x=(100/3.5)*x - we multiply both sides of the equation by x
900=28.571428571429*x - we divide both sides of the equation by (28.571428571429) to get x
900/28.571428571429=x
31.5=x
x=31.5
now we have:
3.5% of 900=31.5
Answer:
c) -1
Step-by-step explanation:
-2-3-(-4)
=-5+4
=-1
