Answer:
9 9/20
Step-by-step explanation:
4 1/5 * 2 1/4
Change the mixed nubers to improper fractions
4 1/5 = (5*4+1)/5 = 21/5
2 1/4 = (4*2+1) /4 = 9/4
21/5 * 9/4 = 189/20
Now we change it back to a mixed number
20 goes into 189 9 times (20*9 = 180 with 9 left over)
9 9/20
Answer: 13, 15, 21, 38, 52
because The total length of two sides of a triangle is always greater than the length of the third side => 34 + 19 > x
⇔ x < 53
=> x ∈ {13; 15; 21; 38; 52}
Step-by-step explanation:
Answer:
C) To square a number, multiply the number by itself.
Step-by-step explanation:
A) is incorrect because square roots are made by multiplying the number to itself.
2 × 2 is the same as 2²
3 × 3 is the same as 3²
4 × 4 is the same as 4²
2² = 4
3² = 9
4² = 16
B) is incorrect because the inverse of squaring is finding the square root.
2² inverse is √4
3² inverse is √9
4² inverse is √16
D) is incorrect because perfect squares can be odd or even
A perfect square is a number made by squaring a whole number.
4, 9, 16, 25, 36, 49, 64, 81, 100, 121, and 144 are all examples of perfect squares.
Answer:
<h3>x = 40/7</h3>
Step-by-step explanation:
Look at the picture.
If ABC is any triangle and AD bisects (cuts in half) the angle BAC, then
In our triangle we have the proportion:
<em>cross multiply</em>
<em>use distributive property</em>
<em>add 8x to both sides</em>
<em>divide both sides by 14</em>
The circumcenter is the center of the circle which goes through the triangle's vertices, so the circumcenter of the triangle and the center of that circumscribed circle MUST be the same point.
The same goes for the incenter and the center of the inscribed circle, though these will not, in general, be the same point as the circumcenter.
