Answer:
The angles are <u>155°</u> and <u>25°</u>.
Step-by-step explanation:
Given:
Two supplementary angles are in the ratio of 31:5.
Now, to find the angles.
The sum of two supplementary angles = 180°
Let the ratio of the angles be 
.
So, according to question:
<em>Dividing both sides by 36 we get:</em>
So, 
And, 
Therefore, the angles are 155° and 25°.
Answer: 294√3
Explanation:
1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a
2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.
3) Then you can use Pythagorean theorem fo find a:
14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3
4) Therefore, the area of one triangle is: 14 × 7√3 / 2 = 49√3
5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3
Answer:
60%
Step-by-step explanation:
If I get you right, you're asking for the percentage gain to the nearest percentage, right?
Now to do this, we need to get the amount of profit she made. That's quite easy, we only need to subtract the cost price from the selling price. And that equals $15 - $9.38 that equals $5.62.
Now, we divide this value by the cost price and multiply by 100% to get the percentage gain.
I.e 5.62/9.38 × 100%.
That gives 59.9% , which equals 60% when approximated to the nearest percentage.
A --------¢ D
B --------¢ E
C --------¢ F
Just match like this buddy.
top left
is not
Step-by-step explanation:
