Ok so BFD is a 90 degree angle. So you know you have 43 in one of the spaces so that means all you have to do is take 90 and minus 43 which is 47.
Step-by-step explanation:
I am not allowed to answer more than 3 questions. So I will do the first 3.
15a. i) (2/3) = 4/9
ii) (2/3) = 8/27
iii) (2/3) = 16/81
b. The product is small because you are finding the fraction of a fraction.
16. Compared to the factors, the product is less than each fraction. This is because, as stated above, you are trying to find a fraction (a part of the whole) of another fraction. When you multiply a whole number by a fraction, the whole number decreases. The same applies to a fraction.
17a. 0.4 × 0.3 = 0.12
b. 0.4 = 4/10 = 2/5
0.3 = 3/10
3/10 × 2/5 = 6/50
Hello from MrBillDoesMath!
Answer: No.
Discussion:
Look at the 1st and 4th members of the relation.
(7,2) (7,3)
Treating these as points, a vertical line passes through both of them ( x = 7 is the line) so there is no unique y value corresponding to x =7. So no functional relationship exists between them.
Regards, MrB
Answer:
The measure of side BC = 5 unit and The measure of side AC = 5 unit
Step-by-step explanation:
Given as :
In a triangle ΔABC
The measure of side = AB = 5 unit
The measure of angle A = ∠A = 45°
The measure of angle C = ∠C = 30°
Now, For a triangle the sum of three angles of triangle = 180°
∴, ∠A + ∠B + ∠C = 180°
Or, 45° + ∠B +30° = 180°
Or , ∠B = 180° - ( 45° + 30°)
Or, ∠B = 180° - 75°
i.e ∠B = 105°
<u>Now, From figure </u>
Sin 45° =
Or, =
Or, BC =
∴ BC = 5
So, The measure of side BC = 5 unit
<u>Again , from figure</u>
Cos 45° =
Or, =
Or, AC =
∴ AC = 5
So, The measure of side AC = 5 unit
Hence The measure of side BC = 5 unit and The measure of side AC = 5 unit Answer
Area of the sector is 4.19 sq. units
Step-by-step explanation:
- Step 1: Find the area of the sector where radius = 4 and central angle = 30°
Area of the sector = π r² (C/360), where r is radius and C is the central angle
⇒ Area = 3.14 × 4² × (30/360)
= 3.14 × 16 × 1/12 = 4.19 sq. units