Answer:
- smallest: 18°
- largest: 90°
- middle: 72°
Step-by-step explanation:
We can solve this using the relationship between the angles together with the angle sum theorem. Let s represent the measure of the smallest angle. Then the middle angle is 4s, and the largest angle is (4s +s). The angle sum theorem tells us the sum of angles in a triangle is 180°.
smallest + middle + largest = 180°
s +(4s) +(4s +s) = 180°
10s = 180° . . . . . . . . . . . simplify
s = 18° . . . . . . . . . divide by 10
4s = 72° . . . . . . find the middle angle
4s +s = 72° +18° = 90° . . . . . find the largest angle
The smallest, largest, and middle angles are 18°, 90°, and 72°, respectively.
Answer:
L = 315 cm2 ; S = 399.9 cm2
Step-by-step explanation:
Lateral area;
3 × (½)(14)(15)
315 cm²
Surface area:
315 + (½)(14)(14)sin(60)
399.8704896 cm²
Answer:
The correct matrices are:
Matrix:
7 1 5
1 5 7
5 7 1
all diagonal elements of A^2 are: 7^2 + 1^2 + 5^2
Matrix:
9 18 27
27 -9 18
18 27 9
all diagonal elements of A^2 are: 9^2 + 27*18 + 18*27 or (-9)^2
Matrix:
8 1 6
6 8 1
1 6 8
all diagonal elements of A^2 are: 8^2 + 6*1 + 1*6
Answer:
92
Step-by-step explanation:
<em>Answer,</em>
<em><u>x = 5/2 + 1/2 √57 </u></em><em><u>or</u></em><em><u> x = 5/2 + -1/2 √57</u></em>
<em>Explanation,</em>
<em><u>Step 1: Use quadratic formula with a=1, b=-5, c=-8.</u></em>
<em>It's kinda hard to type out again so I just took a pic :-)</em>