Answer:
m∠B = 
.
Step-by-step explanation:
Since the three sides of the triangle are given, then we apply cosine rule.
= 
+ 
- 2ac Cos B
But, a = 660 cm, b = 680 cm, and c = 100 cm.
So that;
= 
+ 
-2(660 x 100) Cos B
462400 = 435600 + 10000 - 132000 Cos B
462400 = 445600 - 132000 Cos B
132000 Cos B = 445600 - 462400
= -16800
Cos B = 
= -0.1273
B = 
-0.1273
=
Thus, measure of ∠B is .
Theo got an 80% on the quiz because you multiply to get a equivalent fraction since a hundred is a whole of a percent. So basically, the percent is 80% and the decimal is 0.80.
Hope it helps!
The equivalent number to the given expanded form is 203.403
<u>Step-by-step explanation</u>:
To find the equivalent number of the expanded form, Use BODMAS rule.
B - bracket
O - of
D - division
M - multiplication
A - addition
S - subtraction
In the given equation, look for the BODMAS order to solve the expanded form:
<u>step 1</u>: solve the numbers inside the bracket.
(2*100)+(3*1)+(4*1/10)+(3*1/1000) = 200 + 3 + 4/10 + 3/1000
<u>step 2</u>: In the order of BODMAS, division comes before addition. So, Division has to be given priority and then addition should be performed.
200 + 3 + 0.4 + 0.003 = 203.403
Answer:
(3x+8)°+(x+4)° = 180,
x=42
Step-by-step explanation:
They are linear pairs, so the two angles are supplementary or add up to 180°.
1. Format the equation (3x+8)°+(x+4)° = 180
2. Simplify like terms 4x + 12 = 180
3. Subtract 12 on both sides, 4x=168
4. Divide 4 on both sides, x=42
5. Answer is x=42
The answer is 27.533333333..
