Answer:
Q7. 11.3 inches (3 s.f.)
Q8. 96.2 ft
Q9. 36.4cm
Step-by-step explanation:
Q7. Please see attached picture for full solution.
Q8. Let the length of a side of the square be x ft.
Applying Pythagoras' Theorem,
Thus, the perimeter of the square is
Q9. Equilateral triangles have 3 equal sides and each interior angle is 60°.
Since the perimeter of the equilateral triangle is 126cm,
length of each side= 126÷3 = 42 cm
The green line drawn in picture 3 is the altitude of the triangle.
Let the altitude of the triangle be x cm.
sin 60°= 
(to 3 s.f.)
Therefore, the length of the altitude of the triangle is 36.4cm.
Answer:
8.57 explanation:
Step-by-step explanation: If Quan gets 210 dollars every 24 hours and you want to find the amount he gets every hour all you have to do is do 210 divided by 24 which you will get 8.75. So every hour he gets $8.75 every hour for his work
Two polynomials are equal if the coefficients are equal.
For Times Square magnets, we have that the price of each magnet is 2 dollars / magnet, there are 4 magnets / set, and Tom buys 12 sets. For Statue of Liberty magnets, the price is 3 dollars / magnet, there are 5 magnets / set, and Tom buys 12 sets
We can make a table of these values:
Magnets Price ($$/magnets) Set Size (magnets/set) Quantity (sets)
T.S. 2 4 12
S. of L. 3 5 12
Now, we can use the formula
Total Cost = Number of Magnets Bought * Price = (Quantity * Set Size) * Price
So we see that
Cost of T.S. magnets = Quantity * Set Size * Price
= 12 sets * 4 magnets * 2 dollars = $96
set magnet
Cost of S. of L. magnets = Quantity * Set Size * Price
= 12 sets * 5 magnets * 3 dollars = $180
set magnet
So the total amount spent was $96 + $180 = $276.
3, 5, and 6 are incorrect.
In number 3, you have all the steps correct, except for the last one. Instead of adding 19 to 25, you would multiply it, because there is no addition sign in between the absolute value sign and 5^2. Thus making the answer 475.
In number 5, you first square -2. -2 * -2 ( or -2^2) = 4. Next, you square 3. 3 * 3 (3^2) is 9. Then, you subtract 9 from 4 to get -5. The absolute value of -5 is 5, making 5 the answer. Absolute value is kind of like the distance from zero, for instance -5 is 5 units away from 0 and the absolute value can never be a negative number. Thus making 5 the answer.
In number 6, you first solve the parenthesis. 2 - 3 = -1 and -1 * -1 (-1^2) is 1. Next, you square -3. -3 * -3 (-3^2) = 9. Then, you subtract 1 from 9 to get 8. The absolute value of 8, is 8. Finally, multiply -4 and 8 to get -32. Thus meaning -32 is the answer.
I hope this helps!
