Answer: A decimal fraction is a fraction whose denominator is 10,100,or some other multiple of 10.
Step-by-step explanation:
Answer:
y=4x-3
then add 3 to each side to get: y+3=4x.
Next, just divide both sides by 4 to get x = (y+3)\div4.
Answer:
The length of the rectangle is
12
c
m
and the area of the rectangle is
60
c
m
2
.
Explanation:
By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.
Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
a
2
+
b
2
=
c
2
5
2
+
b
2
=
13
2
25
+
b
2
=
169
25
−
25
+
b
2
=
169
−
25
b
2
=
144
√
b
2
=
√
144
b
=
±
12
Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is
12
cm.
The area of a rectangle is given by multiplying the width by the length.
A
=
(
5
c
m
)
(
12
c
m
)
A
=
60
c
m
2
Answer:
35 2-point questions, and 15 5-point questions
Assume x 2-points question, so 50-x 5-points question
Total no of points: 2*x+5*(50-x)=145 points
2x+250-5x=145
-3x=-105
x=-105/-3=35 2-points questions
Remaining 50-35=15 5-points questions
ok so i really hope this helped and if it didn't then sorry
2 and 1/5
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3rd option