Answer:
1A: 29 units²
1B: √29 units
2, 3, 4. see below
5. between 8 and 8.5
Step-by-step explanation:
1A: Split the given square up into 4 triangles and a square in the centre. You'll get 4 triangles of sides 5 and 2, and a centre square of sides 3.
Area = 4(0.5)(5 x 2) + (3²) = 29 units²
1B: Square root your answer in 1A. √29 units
Alternatively you can use Pythagoras' theorem on one of the triangles. √(5² + 2²) = √29 units
2. The area is exactly 17 units, because the area of a square is the length of its side squared. (√17)² = 17, hence the square's area is 17 units.
3. A number that can be expressed as a fraction (includes whole numbers). E.g. 1/2, 1/7, 4
4. A number that cannot be expressed as a fraction. E.g. π, e, √3
5. Consider the closest square numbers to 70. 70 is closer to 64 than 81 (difference of 6 vs 11). Hence √70 should be closer to 8 than 9. Your answer should be between 8 and 8.5.
Answer:
amount of nuts = 2 pounds
amount of dried fruit = 4 pounds
Explanation:
We are given that x is the amount of nuts and y is the amount of dried fruit.
We are also given that:
1- Hunter needs to make 6 pounds of trail mix. This means that:
x + y = 6
This can be rewritten as:
x = 6 - y .........> equation I
2- x costs $4 per pound, y costs $3.5 and Hunter can spend a total of $22. This means that:
4x + 3.5y = 22 ..........> equation II
Substitute with equation I in equation II and solve for y as follows:
4x + 3.5y = 22
4(6-y) + 3.5y = 22
24 - 4y + 3.5y = 22
24-22 = 4y-3.5y
2 = 0.5y
y = 4 pounds
Substitute with y in equation I to get the value of x as follows:
x = 6-y
x = 6-4
x = 2 pounds
Hope this helps :)
Answer: 7-8
Step-by-step explanation:
7-8 A squared + B squared =c Square
9x9 8x8 10x10 12x12
81 64 100 144
145 244
Answer: (-4, -2) and (6, -2)'s slope is 0, (2,9) and (2, -5)'s is undefined
Step-by-step explanation:
bro its not that hard, y1-y2 divided by x1-x2
The percent markup is 11.11 %
<em><u>Solution:</u></em>
Given that, the store buys 100 shirts at a cost of $ 2700
Let us find the cost of 1 shirt
The store sells them at $ 30 each
Therefore,
Cost price of 1 shirt = $ 27
Selling price of 1 shirt = $ 30
Markup price = Selling price - Cost price
Markup price = 30 - 27
Markup price = 3
Thus markup price is $ 3
<em><u>The percent markup is given as:</u></em>
Thus the percent markup is 11.11 %
