Answer:
The perimeter (to the nearest integer) is 9.
Step-by-step explanation:
The upper half of this figure is a triangle with height 3 and base 6. If we divide this vertically we get two congruent triangles of height 3 and base 3. Using the Pythagorean Theorem we find the length of the diagonal of one of these small triangles: (diagonal)^2 = 3^2 + 3^2, or (diagonal)^2 = 2*3^2.
Therefore the diagonal length is (diagonal) = 3√2, and thus the total length of the uppermost two sides of this figure is 6√2.
The lower half of the figure has the shape of a trapezoid. Its base is 4. Both to the left and to the right of the vertical centerline of this trapezoid is a triangle of base 1 and height 3; we need to find the length of the diagonal of one such triangle. Using the Pythagorean Theorem, we get
(diagonal)^2 = 1^2 + 3^2, or 1 + 9, or 10. Thus, the length of each diagonal is √10, and so two diagonals comes to 2√10.
Then the perimeter consists of the sum 2√10 + 4 + 6√2.
which, when done on a calculator, comes to 9.48. We must round this off to the nearest whole number, obtaining the final result 9.
Answer:
6 dimes, 26 nickels
Step-by-step explanation:
The number of nickels is N, and the number of dimes is D.
N + D = 32
5N + 10D = 190
--
N + 2D = 38
D = 6
N = 26
First, we need to find 8% of 1,575. To do so we have to divide 8 by 100, then multiply the quotient by 1,575.
8% ⇒ 0.08
1,575 × 0.08 = 126
Now add the 8% increase to the original cost.
1,575 + 126 = 1,701
<h2>Answer:</h2>
<u>Option 1: </u><u>$1,701</u><u>.</u>
I hope this helps :)
Answer: 131 degrees
Step-by-step explanation:
20y-11+4y+6+7y-7=360
31y-12=360
+12. +12
31y= 372
Divide by 31
Y= 12
BC= 4y+6+7y-7
4(12)+6+7(12)-7
BC= 131
When you add a positive and a negative like you did here it basically is the same as subtracting 5 from 3
