You don't list the "sums listed below" but I can still help you.
There are 6 ways to get a sum of 7 using a pair of dice:
1+6
6+1 You might be asking why 2+5 isn't the same as 5+2
2+5 Imagine the dice are different colors. Is a red 2 and green 5 the
5+2 same as a green 2 and red 5? (No, it's not)
3+4
4+3
You need two numbers that also provide 6 ways to win. One pair that would work is 11 and 9 There are two ways to make 11 (5+6) and (6+5) and there are four ways to make 9 (3+6), (6+3) (4+5) and (5+4) - that's a total of six ways. So to balance your friend's 7 - you could go for sums of 11's and 9's. Check the choices you were given and find the numbers (it could be three numbers like 2,3, and 12) that give you 6 ways to win.
Here are the numbers and their ways
Sum of the dice Ways to get it
2 1
3 2
4 3
5 4
6 5
7 6
8 5
9 4
10 3
11 2
12 1
The formula for the area of a triangle is A= (a+b/2)•h. We substitute in the values we know to find h, which is the height:
•166.75= (21+8/2)•h. Add 21 and 8 so you can simplifying the fraction.
•166.75= (29/2)•h. Divide 29 by 2.
•166.75= 14.5h. Divide both sides by 14.5 so you can get h by itself.
•h=11.5.
The height of the trapezoid is 11.5 inches.
Draw a horizontal line AB of length 15 miles to represent the positions of the two forest rangers.
Point A is to the left and point B is to the right.
Complete triangle ABC so that m∠A = 41° and m∠B = 56°.
The point C represents the location of the fire.
Let x = length of BC. It is the shortest distance from the forest ranger B to the fire because BC is opposite the smaller angle of 41°.
Because the sum of angles in a triangle is 180°,
m∠C = 180° - (41° + 56°) = 83°.
From the Law of Sines,
x/sin(41) = 15/sin(83)
x = 15*[sin(41)/sin(83)] = 9.915 mi
Answer:
The forest ranger closest to the fire is at a distance of 9.92 miles (nearest hundredth).
We'll have this following figure drawn in the picture. Since we have an isosceles trapezoid, the diagonals are congruent. According to the conditions of the problem, these diagonals are perpendicular and then we can claim that we'll have right-isosceles triangles in this case. Indeed, ∠OBC = ∠FBD = 45°. Then, in the triangle BFD. BF=FD=23. It means the height is 23 cm. Obtaining this fact, we can easily calculate the area.
She paid $640 for the painting
Step-by-step explanation:
her selling price SP = 800
CP+25%of CP = 800
1.25CP=800
CP=640
