Given:
The right angle triangle with legs 4 units and 7 units.
To find:
The length of hypotenuse.
Solution:
Pythagoras theorem: In a right angle triangle,
Let x be the length of the hypotenuse.
Using the Pythagoras theorem for the given triangle, we get
Taking square root on both sides, we get
[∵Side length cannot be negative]
Therefore, the length of the missing side for the given right angle triangle is 8.06 units.
Answer:
165 liters of 15% solution
Step-by-step explanation:
15F + 65S = 60(1650)
F + S = 1650
F = 1650-S
15(1650-S) +65S = 99000
50S = 99000-24750= 74250
S = 74250/50 = 7425/5 = 1485 liters of 65% solution
F = 1650-1485 = 165 liters of 15% solution
65 is much closer to 60 than 15 is, so you know there will be mostly 65% solution with relatively little 15%
Hope this helps, have a nice day/night! :D
Y: (0, 0.4)
x: (0.3, 0)
If I’m not mistaken.
On the number line after 10 moves frog is at the integer -96.
Given that, a frog starts at 0 on a number line.
It jumps 100 units to the right then jumps 200 units to the left=+100-200=-100 (2 moves).
It then jumps 199 units to the right followed by 198 units to the left =-100+199-198=-99 (2 moves).
It then jumps 197 units to the right followed by 196 units to the left =-99+197-196=-98 (2 moves).
It then jumps 195 units to the right followed by 194 units to the left =-98+195-194=-97 (2 moves).
It then jumps 193 units to the right followed by 192 units to the left =-97+193-192=-96 (2 moves).
Hence, on the number line after 10 moves frog is at the integer -96.
To learn more about the integers visit:
brainly.com/question/15276410.
#SPJ1
Answer: 73
Step-by-step explanation:
(
3
×
−
8
)
−
(
+
4
)
+
(
2
×
−
2
)
−
5
⇒
p
(
−
2
)
=
−
24
−
4
−
4
−
5
⇒
p
(
−
2
)
=
−
37
⇒
p
(
3
)
=
3
(
3
)
3
−
(
3
)
2
+
2
(
3
)
−
5
⇒
p
(
3
)
=
(
3
×
27
)
−
9
+
6
−
5
⇒
p
(
3
)
=
81
−
9
+
6
−
5
⇒
p
(
3
)
=
73
