Answer:
The length of side b is 179 ft
Step-by-step explanation:
Given triangle ABC in which
∠A = 33°, ∠B = 63°, c=200
we have to find the length of b
In ΔABC, by angle sum property of triangle
∠A+∠B+∠C=180°
33°+63°+∠C=180°
∠C=180°-33°-63°=84°
By sine law,




The length of side b is 179 ft
Option C is correct.
Answer:
m - 18
Step-by-step explanation:
Symbolically, that difference would be written as m - 18.
Answer:
Step-by-step explanation:
12.9 + 10.2x = 35.1
10.2x = 35.1 - 12.9
10.2x = 22.2
x = 22.2/10.2
x= 222/102 = 111/51

Answer:
arc ABC = 196°
∠DCQ = 47°
Step-by-step explanation:
arc AD = 70°
∠D = 1/2 arc ABC = 98°
arc ABC = 98° * 2 = 196°
arc CD = 360° - arc AD - arc ABC = 360°-70°-196° = 94°
tangent chord angle DCQ = 1/2 arc CD = 1/2 * 94° = 47°
The expressions with a product less than 2/3 are:
2/3 × 2/3 and 5/6 × 2/3 ⇒ 2nd and 4th
Step-by-step explanation:
Let us revise some fact about the product of two numbers
- If x is multiplied by y where y > 1, then the product is greater than x (Ex: if x is 3/4 and y is 2, then xy = (3/4)(2) = 3/2 which is greater than 3/4)
- If x is multiplied by y where 0 < y < 1, then the product is less than x (Ex: if x = 2/5 and y = 1/3, then xy = (2/5)(1/3) = 2/15 which is less than 2/5)
We need to select all the expressions with a product less than 2/3
∵ 4 and 1/8 × 2/3
- 4 and 1/8 means mixed number 
∵
> 1
- That means the product of it and 2/3 will be greater than 2/3
as the first fact above
∴
×
> 
∵
× 
∵
is between 0 and 1
- That means the product of it and 2/3 will be less than 2/3
as the second fact above
∴
×
< 
∵
× 2
∵ 2 > 1
- That means the product of it and 2/3 will be greater than 2/3
as the first fact above
∴
× 2 > 
∵
× 
∵
is between 0 and 1
- That means the product of it and 2/3 will be less than 2/3
as the second fact above
∴
×
< 
The expressions with a product less than 2/3 are:
2/3 × 2/3 and 5/6 × 2/3
Learn more:
You can learn more about the fractions in brainly.com/question/1312102
#LearnwithBrainly