Simply put you multiply 30 by 8.
30*8 = 240
So in total he bought 240 hot dogs.
The common difference is 100 Explanation: a2-a1 = 70- -30 = 100
a3-a2= 170-70= 100
a4-a3=270-170=100
d=100
Hello Kiddo.
This question is a bit confusing to me, but I think I grasped the concept.
1. x best represents Sarah's mom's age.
2. x - 24 best represents Sarah's mom's age minus how much younger Sarah is than her mom.
3. The expression would look a little like this:
2x-24 = 68
+ 24 +24
2x = 92
/2 /2
x = 46.
Which means, Sarah is 22 and her mom is 46 years of age.
If you need more clarification, I'd be more than happy to elaborate further.
Answer:
distance of diver 1 from the shark ≈ 18.88 m
Step-by-step explanation:
The illustration forms a triangle. The base of the triangle which is their distance apart is given as 30 m . The known angle of the triangle are 52° and 39°. To find the unknown side we subtract the sum of 52° and 39° from 180°. Note that the total angle in a triangle is 180°.
Therefore,
180 - (52 + 39) = 180 - 91 = 89
°. Now the three angle of the triangles are 52°, 39° and 89°.
Using the law of sine we can find the distance of the diver 1 from the shark.
let a = distance of the first diver to the shark.
a/sin 39° = 30/sin 89°
cross multiply
a sin 89° = 30 sin 39°
divide both sides by sin 89°
a = 30 sin 39°/sin 89°
a = 30 × 0.62932039105
/sin 89°
a = 18.8796117315
/0.99984769515
a = 18.8824876258
a ≈ 18.88 m
You have to swap to (x,y) to (y,x) and make the y negative so it would be (-y,x) and since it’s counterclockwise it would be in the 4th quadrant
