Answer:
5
Step-by-step explanation:
Salma and Jared each threw 5 darts at the target shown. Salma scored 19 points by landing 2 darts in A and 3 in B. Jared scored 17 points by landing 1 dart in A and 4 in B. How many points are given for a dart landing in A?
this can be solved using simultaneous equation. Two equations can be formed from the question
2a + 3b = 19 equation 1
1a + 4b = 17 equation 2
Multiply equation 2 by 2
2a + 8b = 34 equation 3
Subtract equation 1 from 3
5b = 15
divide both sides of the equation by 5
b = 3
Substitute for b in equation 1
2a + 3(3) = 19
2a = 9 = 19
collect like terms
2a = 10
divide both sides of the equation by 2
a = 5
Answer:
4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 30 = x/8
8 sin 30 =x
8 (1/2) = x
4
Answer:
500,000
Step-by-step explanation:
it's rounded down to 5 because 3 is less than 5, which means you round down.
Easy
the radius is the distance from the center to a point on the circle
we are given
center=(7,1)
a point=(8,7)
find the distance
distance formula
D=
![\sqrt{(x2-x1)^2+(y2-y1)^2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%7D%20)
so the distance between point and center is radius
D=
![\sqrt{(8-7)^2+(7-1)^2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%288-7%29%5E2%2B%287-1%29%5E2%7D%20)
D=
![\sqrt{(1)^2+(6)^2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%281%29%5E2%2B%286%29%5E2%7D%20)
D=
![\sqrt{1+36}](https://tex.z-dn.net/?f=%20%5Csqrt%7B1%2B36%7D%20)
D=√37 units
radius is √37 units