The triangular prism has 5 faces; two triangle faces and three rectangular faces.
We can find the area of one of the triangle faces by doing ((base * height) / 2). In this case, it would be ((2 * 2) / 2), which of course would equal 2"². Multiplied by two for the two triangles, which would be 4.
To find the area of one of the rectangles, we do (length * base), which would be (5 * 2) in our case, giving us 10. Multiply by 3 for the 3 faces, and we got 30"².
30 + 4 = 34"²
Answer:
1,2,3,4,6,12
Step-by-step explanation:
Answer:
Supplement of <1 = 122°
Supplement of <2 = 156°
Step-by-step explanation:
Two pairs of angles are said to be supplementary, if their measures in degrees add up to give us 180°. A supplement of am angle is simply 180° - the measure of that angle.
Given that meadure of angle 1 = 58°, the supplement of angle 1 = 180° - 58° = 122°
Also, if the measure of angle 2 = 24°, the supplement of angle 2 = 180° - 24° = 156°.
Thus:
Supplement of <1 = 122°
Supplement of <2 = 156°
<h3>
Answer:</h3>
4. -3
5. 3
<h3>
Step-by-step explanation:</h3>
4. For x > -2, the value of a is the slope of the line. The line goes down 3 units for each 1 to the right, so the slope is -3/1 = -3. Then a = -3.
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5. The ordered pair (h, k) is typically used to name the point to which a function is translated. The vertex of the function f(x) = |x| is (0, 0). When it is translated to (h, k), the function becomes ...
... q(x) = |x -h| +k
If the new vertex is (3, 0), then h = 3 and k = 0. This is consistent with the equation shown. (k = 0 means q(x) = |x -h|.)
Answer:
x = 3
Step-by-step explanation:
since it's hitting 3 on the x axis and just goes up and down where 3 is, all the points have an x of 3 and nothing else. making the equation x = 3