Answer:
hope this helps
Step-by-step explanation:
For a.) I would do the simplist example possible and make all 3 angles equal. So you would divide 180° degrees by 3. This gives you 60° for each angle. That is still acute.
b.) complementary angles mean they add up to 90°
If one has to be greater than 45° you can so 68° and 22°.
c.) 100 - 10,10; 20,5; 50,2; 4,25
You can choose any pair for the length and width of the ones I put above. :)
d.) angle ABC can equal 32° and angle CBD can be 10°
Answer:
Right Triangle, Acute Triangle, and Obtuse Triangle
Step-by-step explanation:
I can't draw it here but the right triangle has a side of 90°.
An acute triangle has a side smaller than 90°.
An obtuse triangle has a side bigger than 90°.
Answer:
≈ 1833
Step-by-step explanation:
To find ratio of proton mass to electron mass, we have to divide.
The numbers are given in <em>scientific notation</em>.
Let a number be 
and another be 
, when we divide, we will follow the rule shown below:
Now, we use the information given to find the ratio:
This means we can find the number by taking 4 decimal places to the right, so that would becomes:
The approximate ratio is 1833 [mass of proton is around 1833 times heavier than mass of electron]
Step-by-step explanation:
Applying rules of exponents to solve the given problems;
4^3 x 4^5 =
5^8 ÷ 5^-2 =
(6^3 ) ^ 4 =
For these problems, the applicable rules of exponents are;
aᵇ x aⁿ = aᵇ⁺ⁿ
aᵇ ÷ aⁿ = aᵇ⁻ⁿ
(aᵇ)ˣ = aᵇˣ
For the first problem; 4³ x 4⁵
aᵇ x aⁿ = aᵇ⁺ⁿ
4³ x 4⁵ = 4³⁺⁵ = 4⁸
Second problem: aᵇ ÷ aⁿ = aᵇ⁻ⁿ
5⁸ ÷ 5⁻² = 5⁸⁻⁽⁻²⁾ = 5⁸⁺² = 5¹⁰
Third problem; (aᵇ)ˣ = aᵇˣ
(6³)⁴ = 6³ˣ⁴ = 6¹²
