Answer:
5. 6.1 units
6. 29.4 units
7. 12.8 units
8. 29.1 units
Step-by-step explanation:
5. We have the opposite and adjacent sides here for angle 21 degrees. So we need to use tangent, which is opposite / adjacent:
≈ 6.1 units
6. We have the opposite and hypotenuse sides here for angle 33 degrees. So we need to use sine, which is opposite / hypotenuse:
≈ 29.4 units
7. We have the opposite and adjacent sides here for angle 37 degrees. So we need to use tangent, which is opposite / adjacent:
≈ 12.8 units
8. We have the opposite and hypotenuse sides here for angle 31 degrees. So we need to use sine, which is opposite / hypotenuse:
≈ 29.1 units
Hope this helps!
4x^2+28x+49
4x^2+14x+14x+49
2x(2x)+2x(7)+7(2x)+7(7)
2x(2x+7)+7(2x+7)
(2x+7)(2x+7)
(2x+7)^2
The missing term is 28.
Answer:
Step-by-step explanation:
Apply distributive property
Have a good day!
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.
Answer:
2.5(x)+6=3.25(x)+3 4=x. Real world problem below
Step-by-step explanation:
Nico is organizing a party. Going skating, admission is 6 dollars, and each person pays 2.5 dollars for a pair of skates. If he has 3 other people in his group, the equation is 2.5(4)+6=24. He is also looking at going to a trampoline park. It is 3 dollars to get in, and 3.25 per person for an hour on the trampolines. This equation can be shown as 3.25(4)+3 which equals 24.
