The sides of a right triangle can always be expressed as:
h^2=x^2+y^2, where h is the length of the hypotenuse and x and y are the side lengths.
If we are to assume that "a" is a side length then 17 or "c" must be the hypotenuse so:
17^2=11^2+a^2
a^2=289-121
a^2=168
a=√168
a≈12.96 (to nearest hundredth)
Note we knew this assumption because of the answer choices, but technically, "a" COULD have been the hypotenuse without this implicit suggestion making:
a^2=17^2+11^2
a^2=410
a=√410
a≈20.25 (to the nearest hundredth)
Of course the above is not relevant to this particular question but be aware that you won't always be given answer choices to make the assumption of which side is the hypotenuse...
Answer:
y = - 19
Step-by-step explanation:
Express 210 and 55 as products of their prime factors, that is
210 = 2 × 3 × 5 × 7
55 = 5 × 11
Identify the prime factors that both numbers have in common and multiply them.
Here only 5 is common, thus
HCF = 5
Thus
5 = 210 × 5 + 55y, that is
5 = 1050 + 55y ( subtract 1050 from both sides )
- 1045 = 55y ( divide both sides by 55 )
y = - 19
Answer:
p = -72
Step-by-step explanation:
(p/-8) = 9.
1. Multiply the denominator out.
p = -72.
(That was because you do -8 * 9 = 72).
Approximately 47ft
Circumference= 2πr
r= d/2
r=10 r=2.5
Circumference= 63 Circumference=16
63-16=47
Answer:
61.12 units²
Step-by-step explanation:
(½ × pi × r²) + (½ × b × h)
½ [(3.14 × 4²) + (8 ×9)]
½(122.24)
61.12 units²
