Answer:
20.3 cm. to the nearest tenth.
Step-by-step explanation:
Using the Pythagoras Theorem:
CR^2 = CS^2 + SR^2
= 6^2 + 13^2
= 205
CR = √205 cm.
UR = CR (because they are both radii of the circle).
So UR = √205
and SU =6 + √205
= 20.3 cm to the nearest tenth.
Answer:
5/3
Step-by-step explanation:
Trigonometric ratio
Cot θ = Adjacent side/Opposite side
It is given that,
Cot θ = 4/3
Adjacent side = 4
Opposite side = 3
Csc θ = Hypotenuse/Opposite side
To find the Hypotenuse
Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²
Hypotenuse = √(3²+ 4²) = 5
To find Csc θ
Csc θ = Hypotenuse/Opposite side = 5/3
Answer:
3
Step-by-step explanation:
Slope: Down 3, Over 3
Remove both sets of brackets.
18 - 9x - 8 + 12x > 9 Collect like terms on the left.
12x - 9x + 18 - 8 > 9
3x + 10 > 9 Subtract 10 from both sides.
3x > 9 - 10
3x > - 1 divide by 3
x > -1/3
Notice what the graph is telling you. A blue dotted line is going through x = - 1/3 or - 0.3333
Everything to the right of - 0.333 is colored blue and that means anything to the right if going to be a solution to the inequality. To confirm this for yourself, try zero and 1. Both should give larger than 9 solutions.
Start by listing this until you see that X+Y = 50
X can equal: 4,8,12,16,20,24,28,32,36,40,<u>44</u>
Y can equal: 1.5,3,4.5,<u>6</u>,7.5,9
So...
X=11
Y=4
so... 4 sandwiches were bought, and 11 drinks.
