Answer:
78°
Step-by-step explanation:
From the diagram,
Applying sine rule,
SinA/a = sinC/c................... Equation 1
Given: c = 29 cm, C = 50°, a = 37 cm
Substitute into equation 1 and solve for A.
sinA/37 = sin50°/29
sinA = (37×sin50°)/29
sinA = (37×0.766)/29
sinA = 28.34/29
sinA = 0.9774
A = sin⁻¹(0.9774)
A = 77.8°
A ≈ 78°
Hence the measure of angle A = 78°
Answer:
Quadrilateral as it is a four-sided ploygon, having 4 edges and corners
Answer:
1.) Yes
2.) Yes
Step-by-step explanation:
Given that
n = k(k + 7)
If k is a positive integer and n = k(k + 7), is n divisible by 6 ?
(1) k is odd. Yes.
Let assume that k = 3
Then, n = 3(3 + 7)
n = 3 × 10
n = 30.
30 is divisible by 6.
(2) When k is divided by 3, the remainder is 2. That is,
Let k = 5
Then,
5/3 = 1 remainder 2
Substitute k into the equation
n = k(k + 7)
n = 5(5 + 7)
n = 5 × 12
n = 60
And 60 is divisible by 6.
Therefore, the answer to both questions is Yes.
1) Expression 1: 16x^3 y
2) Expression 2: 24 xy^5
Procedure:
1) find the greatest common factor of the coefficients, 16 and 24:
16 = 2^4
24 = (2^3)*3
=> greatest common factor = 2^3 = 8
2) find the greatest common factor of x^3 y and xy^5
That is the common letters each raised to the lowest power:
=> xy
3) Then, the result is 8xy
Answer:
-12
Step-by-step explanation:
<u>Step 1: Substitute</u>
ab -> -4 for a and 3 for b
(-4) * (3)
<em>-12</em>
Answer: -12
