The measure of all the angles of triangle are 27.5° , 110° and 42.5°.
The angle sum property states that the sum of angles in a triangle is 180°. That is if the angles of a triangle are A,B and C then
angle A + angle B + angle C = 180° (1)
According to the question,
Let the smallest angle be x°
Then the second angle will be 4 times the other on which is 4x°
And the third angle will be 15° greater than the smallest one which will be = 15° + x°
Now putting all the required values in equation (1) we get,
x° + (4x°) + (15° + x°) = 180°
6x° = 180° - 15°
x° = 165°/6
x° = 27.5°
Thus the angles will be,
Smaller angle = x° = 27.5°
Other angle = 4x° = 4*27.5° = 110°
Third angle = 15° + x° = 15° + 27.5° = 42.5°
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Answer:
Actual 2/3
30 inch. by 12 inch 240 inch²
30 inch. by 18 inch 360 inch²
12 inch. by 15 inch 120inch²
18 inch. by 15 inch 180inch²
Step-by-step explanation:
The answers are given in the same line .
Actual 1/3 2/3
30 inch. by 12 inch 120 inch² 240 inch²
30 inch. by 18 inch 180 inch² 360 inch²
12 inch. by 15 inch 60 inch² 120inch²
18 inch. by 15 inch 90 inch² 180inch²
We find the areas and multiply by 2/3 to get the answers
30 * 12= 360 inch²
2/3 * 360 = 240 inch²
30 * 18= 540 inch²
2/3 * 540 = 360inch²
12 * 15= 180 inch²
2/3 * 180 = 120 inch²
18 * 15= 270 inch²
2/3 * 270 = 180inch²
Answer:
1/2
Step-by-step explanation:
0.30= 3/10, 3/10 =2/10 = 5/10. 10/10-5/10=5/10, 5/10=1/2
Answer:
and 
Step-by-step explanation:
The number of people is 
and the number of hours they are present in the space is 
.
Per person entry cost is $8.
Per hour cost of rent is $40.
They plan to earn a minimum of $600.
Donations by all the people entering the space is 
Total cost of renting the space is 
which will be subtracted from the total amount of donations.
The inequality that represents the situation is and .
Lets cut this shape into rectangles and triangles.
The rectangles will be 7x3 and 3x4
So that is 21 sq rt and 12 sq ft.
Now the triangles.
One will be 2*3/2 and the other will be 4*3/2
So that is 3 sq ft and 6 sq ft.
In total the hole is 42 sq ft.
