Answer:
The required equation is 3y=36 and the tape diagram is shown below.
Step-by-step explanation:
Consider the provided information.
We need to write a multiplication equation that has a solution of 12.
3y=36
We know we have to split 36 into three equal groups, so we have to divide by 3 to show this algebraically.
3y÷3=36÷3
y=12
Now check this with the help of tape diagram as shown.
Consider the figure 1.
This represents if 36 had to be split into three groups, how big would each group be?
By the tape diagram we concluded that the value of y is 12.
Since 1 < x < 5, adding each side by a, where a is negative, gives
a > ax > 5a
and adding b to each side gives
a + b > ax + b > 5a + b
or
5a + b < ax + b < a + b
Since 7 < f(x) < 23, it follows that
5a + b = 7
a + b = 23
Solve for a by eliminating b :
(5a + b) - (a + b) = 7 - 23
4a = -16
a = -4
Solve for b :
-4 + b = 23
b = 27
Answer:
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Step-by-step explanation:
Answer:
Cos 25°=Sin65°=0.9063
Step-by-step explanation:
-Complimentary angles generally refer to the two acute angles of a right triangle.
-The two angles add up to 90º.
Let A and B be the two acute angles. Their trigonometric relationship is such that:
Therefore,
The complementary angle of 25° is 65°
Cos 25°=Sin65°=0.9063
2x-12=4
put the 12 in place of y since they equal each other
2x=16
add 12 to both sides
x=8
divide both sides by 2
