Answer: 6
Step-by-step explanation:
1/2 x3 = x4/2
x=4
3 x 4 = 12
12/2 = 6
Answer:
height = 9.19 ft
Step-by-step explanation:
The ladder is resting on a wall. The angle the ladder makes with the floor is 45°. The ladder is 13 ft. The illustration forms a right angle triangle.
The hypotenuse side of the right angle triangle is 13 ft . The opposite side of the right angle triangle is the unknown which is the height off the ground the top of the ladder. Therefore,
Using ratio
sin ∅ = opposite/hypotenuse
sin ∅ = opp/13
sin 45° = opp/13
cross multiply
13 sin 45 = opp
opp = 13 × 0.70710678118
opp = 9.19238815543
height = 9.19 ft
You can use the following base on your equation(y = 13 cos ∅)
The other angle will definitely be 45° since total angle in a triangle is 180°. 180 - 90 - 45 = 45°.
The adjacent side of the triangle will be the unknown side if we use cosine ratio.
cos ∅ = adjacent/hypotenuse
cos 45° = adjacent/13
cross multiply
From your equation you represented adjacent as y therefore,
y = 13 cos 45°
y = 13 × 0.70710678118
y = 9.19238815543
y = 9.19 ft (which is the required height)
Answer:
e
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a) The cost of one bottle of water:
b) The cost of four 12-packs of water:
Answer:
The cost of one water bottle of water would be division, The cost of four 12-packs of water is multiplication.
Step-by-step explanation:
Answer:
x=-3
Step-by-step explanation:
(3x-15)/2 = 4x
Multiply each side by 2
(3x-15)/2 *2= 4x*2
3x-15 = 8x
Subtract 3x from each side
3x-15-3x = 8x-3x
-15 = 5x
Divide each side by 5
-15/5 = 5x/5
-3 =x
Answer:
X=-3
Step-by-step explanation:
2.(7,5)
3.(-7,-5)
4.(5,7)
Answer:
First find the slope of the straight line, m=(Y2-Y1)/(X2-X1)=(17–7)/(-5–0)=-2.
Using the standard equation of a straight line, y=mx+b, we know that m=-2.
Thus, so far we know that y=-2x+b.
Now plug in the coordinates of either of the above points, that we know do lie on the straight line, into our equation, y=-2x+b, and solve for b.
I will use the first point, (0,7), to get 7=(-2)(0)+b.
Solving for b, we see that b=7.
Therefore, the equation of the straight line is y=-2x+7.
It is a good idea to check your answer on a graphing calculator.