Answer:
Approximately 21 inches of lead are needed to seal the edges of one sun catcher. If the craftsperson has two 3-foot lengths of lead, 3 sun catchers can be sealed.
Step-by-step explanation:
The diagram of the sun catcher appears to make four right triangles, two of equal size on the top and two equal size on the bottom. Since the base and height (legs) of each triangle are given, we can use the Pythagorean Theorem to find the missing side (hypotenuse) using the following formula:
a² + b² = c², where 'a' and 'b' are the legs and 'c' is the hypotenuse
For the two top triangles a and b are both 2.75:
2.75² + 2.75² = c² or 15.125 = c² take the square root: √15.125 = √c²
c = 3.89 inches
For the bottom two triangles a = 2.75 and b = 5.5:
2.75² + 5.5² = c² or 37.8125 = c² take the square root: √37.8125 = √c²
c = 6.15 inches
For each sun catcher, you need to add all four sides of the triangles:
(2)(6.15) + (2)(3.89) ≈ 20.1 inches
With two 3 foot lengths of lead:
2 x 3 = 6 foot x 12 inches/foot = 72 inches
Total divided by the number needed per sun catcher:
72 ÷ 20.01 = 3.6, or 3 complete sun catchers
Answer:
See below
Step-by-step explanation:
If |x| < |y| and both are negative the x will be to the right of y on the number line. The point x is loser to the zero on the number line. We can illustrate this by supposing x = -3 and y = -6.
|x| = 3 and |y| = 6 and 3 < 6 but -3 on the number line is higher ( to the right) of -6 and closer to the zero.
|-8 1/3| = 8 1/3
|7 2/3| = 7 2/3
The absolute values of 8 1/3 > than absolute value of 7 2/3. The point 7 2/3 is closer to the zero on a number line.
The absolute value of F is greater than absolute value of E so E is closer to the zero line than F.
Answer:
(½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.
Step-by-step explanation:
or you can solve for the area of the rectangle then the area of the triangle and add them together
Both 4 and 60 can be divided by 4 which will be
1/20.
Answer:
150
Step-by-step explanation:
because acute angle is less than 90 degree