Answer:
hi there ☺️
Here we will use algebra to find three consecutive integers whose sum is 345. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 345. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 345
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 345
3X + 3 = 345
3X + 3 - 3 = 345 - 3
3X = 342
3X/3 = 342/3
X = 114
Which means that the first number is 114, the second number is 114 + 1 and the third number is 114 + 2. Therefore, three consecutive integers that add up to 345 are 114, 115, and 116.
114 + 115 + 116 = 345
We know our answer is correct because 114 + 115 + 116 equals 345 as displayed above.
Step-by-step explanation:
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Refer to the diagram shown below.
Let d = the horizontal distance from Charlie to the plane.
By definition,
tan(32°) = 1694.8/d
1694.8/d = 0.6249
d = 1694.8/0.6249 = 2712.2 ft
Answer: 2,712.2 ft
The legs are 12 cm each, so the hypotenuse is√(144+144)=12√2☺☺☺☺
Answer:
C = 210cm^3
Step-by-step explanation:
We can get an estamate when we use the equation L x H x W = x/2
This shows 8 x 8 x 7, then divide by 2 = 224cm^3
The reason it is slightly less could be the facts the teachers want you to remember this one.
For right side prism the equation is (1/2)b x h x H
which means;
The volume of a triangular prism can be found by multiplying the base times the height. Both of the pictures of the Triangular prisms below illustrate the same formula. The formula, in general, is the area of the base (the red triangle in the picture on the right) times the height,h.
We use the side and base that surrounds the right side as (1/2)base and as side to find area then use the H as the height being the 7.
Answer:
y = 17
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
