Give the two exterior angles of 133 and 142, we can deduce that the interior angles are 47 and 38, respectively. In fact, if
and
are the interior and exterior angles, respectively, we have

Now, the interior angles of a triangle sum up to 180 degrees. Since we already have angles of 47 and 38 degrees, the missing angle is

Which implies

Answer:
A = 26.6°
Step-by-step explanation:
To obtain the measure of angle A :
We use the trigonometric relation :
Tan A = opposite / Adjacent
Tan A = 6 / 12
Tan A = 1/2
A = tan^-1(1/2)
A = 26.565°
A = 26.6°
Volume of cone: pi x r^2 x H/3
3.14 x 2^2 x 10/3 = 41.87 cubic cm
volume of ice cream: 4/3 x pi x R^3
4/3 x 3.14 x 2^3 = 33.49 cubic cm
volume of cone is larger than volume of ice cream so no it will not overflow
Answer:
2. 3-(-2)-(+5)
⇒3-(-2)-(+5)= 3+2-(+5) = 5-(+5) = 5-5 = <u>0</u>
3. -(-3-6)-(-4+8)
⇒ -(-9)-(-4+8) = 9-(-4+8) = 9-4 =5
4. -8-(-3-2)
⇒ -8-5=-13
5. -(-(-5))+7
⇒ -5+7 = 2
6. -(-(-8)+3)
⇒ -(11) = -11
7. -(-6-(-3+1))
⇒6-(-3+1) = 8
8. 1-(14-(11-7))
⇒ 1-(14-4) = 1-10 = -9
Answer:
x^8
Step-by-step explanation:
The applicable rule of exponents is ...
(x^a)(x^b) = x^(a+b)
Here you have ...
(x^3)(x^5) = x^(3+5) = x^8