David's age: x
Joshua: x + 5
Simon: (x+5) + 4 or x + 9
Simon's age + David's age = 15
(x+9) + (x) = 15
2x = 15 - 9
2x/2 = 6/2
x = 3
The ages of the boys:
David: x = 3 years old
Joshua: 3+5 = 8 years old
Simon: 3+9 = 12 years old
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There are 81 band members. :-)
4 rows of 20 = 80 ... with one left over = 80 + 1 (81)
6 rows of 13 = 78 ... with three left over = 78 + 3 (81)
7 rows of 11 = 77 ... with four left over = 77 + 4 (81)
Answer:
The length of side st is 15.
Step-by-step explanation:
A tangent is a straigth line that touches a circle externally at a point on the circumference. Considering one of its properties that tangents from the same point to a fixed point outside a circle are equal.
Then,
/rn/ = /rp/
/tm/ = /tn/
/sm/ = /sp/
But, /rp/ = 7, /rt/ = 17 and /sm/ = 5.
Then,
/rt/ = /rn/ + /tn/
17 = 7 + /tn/ (∵ /rp/ = /rn/ = 7)
⇒ /tn/ = 10
Since /nt/ = 10, then /tm/ = 10 (/tm/ = /nt/)
So that,
/st/ = /sm/ + /tm/
= 5 +10
/st/ = 15
The length of side st is 15.
Answer:
<em>24 square yards</em>
Step-by-step explanation:
Find the diagram attached.
The area of the diagram = Area of rectangle + Area of triangle
Area of rectangle = 3 * 4
Area of rectangle = 12 square yards
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 6 * 4
Area of triangle = 12 square yards
Area of the diagram = 12 + 12
Area of diagram = 24 square yards
<em>Hence 24 square yards of carpeting is needed</em>