9514 1404 393
Answer:
12 square inches
Step-by-step explanation:
The area is given by the formula ...
A = 1/2bh
Here, the base is 6 inches and the height is given as 4 inches. Then the area is ...
A = (1/2)(6 in)(4 in) = 12 in²
The area of the triangle is 12 square inches.
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<em>Comment on the problem</em>
Since you are given the base and height, we presume you are intended to use the formula above. You are also given all three side lengths. If you use the appropriate formula with those, you find the area is about 15.6 square inches. (The height of this triangle is actually closer to 5.2 inches.)
The figure represents a geometry that cannot exist. With the given base and height, the side lengths should be 5, not 6.
Answer:
(2.4, -1.2)
Step-by-step explanation:
Start by moving the x and the y to the same side and moving the number across the equal sign in both equations. We should now have y-0.45x=-2.3 and 2y+4.2x=7.8. We can use the elimination method by multiplying the first equation by -2 to get -2y+0.9x=4.6 and 2y+4.2x=7.8. From there, add the two equations together, eliminating y (-2+2=0). We now have 5.1x=12.4; divide both sides by 5.1 to get x=2.4. Then, in any of the two equations, let's use y-0.45x=-2.3, substitute x with 2.4. Now we have y-1.08=-2.3. Add 1.08 to both sides to get y=-1.22; round that to the nearest tenth to get -1.2.
Answer:
5 bags of cement are required.
Step-by-step explanation:
Since to make concrete, the ratio of cement to sand is 1: 3, if cement and sand are sold in bags of equal mass, to determine how many bags of cement are required to make concrete using 15 bags of sand the following calculation must be done:
Cement = 1
Sand = 3
3 = 15
1 = X
15/3 = X
5 = X
Therefore, 5 bags of cement are required.
Answer:
5 rooms
Step-by-step explanation:
4 rooms = 9 hours
9 hours = 540 minutes
1 room = 540 ÷ 4 = 135 minutes
60 x 12 = 720 minutes (12 hours)
720 ÷ 135 = 5.33333
5.3333 estimated to nearest whole number = 5
Answer:
1st angle will 60degree =90-60,. 1nd angle =60 degree.vertically opposite angle,
