Answer:
35 figurines
Step-by-step explanation:
if the ratio of cards to figurines is 5:7 and there are 25 cards, we multiply the ratio by 5 to make the 5 into a 25 and so can find out how mant figurines there are.
5*5:7*5= 25:35
so there are 35 figurines
2/3x + 1/2 = 3/4 + 5/3
2/3x + 1/2 - 1/2 = 3/4 + 5/3 - 1/2
2/3x = 3/4 + 5/3 - 1/2
2/3x = 3/4(3/3) + 5/3(4/4) - 1/2(6/6)
2/3x = 9/12 + 20/12 - 6/12
2/3x = 23/12
2/3x(3/2) = 23/12(3/2)
X = 69/24
X = 2 21/24
X = 2 7/8
Answer:
17.7 cm^2
Step-by-step explanation:
Use trig to find the height of the triangle. Then the area is bh/2.
Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.
Use triangle ABD to find the height, AD, of triangle ABC.
For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.
sin B = opp/hyp
sin 37 deg = AD/13.1
AD = 13.1 * sin 37 deg
AD = 7.9
AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.
area = bh/2
area = (4.5 cm)(7.9 cm)/2
area = 17.7 cm^2
Answer:
5x+8
Step-by-step explanation:
The from is the key word
That means the second term is first
6x^2 -2x +6 - (6x^2 -7x -2)
Distribute the minus sign
6x^2 -2x +6 - 6x^2 +7x +2
Combine like terms
5x+8
- the answer.