Answer:
1/sqrt10
Step-by-step explanation:
1) Find out cosA using formula (cosA)^2+(sinA)^2=1
The module of cosA= sqrt (1- (-3/5)^2)= sqrt 16/25=4/5
So cosA=-4/5 or cosA=4/5.
Due to the condition 270degrees< A<360 degrees, 0<cosA<1 that's why cosA=4/5.
2) Find sinA/2 using a formula cosA= 1-2sinA/2*sinA/2 where cosA=4/5.
(sinA/2)^2= 0.1
sinA= sqrt 0.1= 1/ sqrt10 or sinA= - sqrt 0.1= -1/sqrt10
But 270°< A< 360°, then 270/2°<A/2<360/2°
135°<A/2<180°, so sinA/2 must be positive and the only correct answer is
sin A/2= 1/sqrt10
Answer:
112 ft square
Step-by-step explanation:
Perimeter=2l+2w
l=w+6
Perimeter=2(w+6)+2w
44=2w+12+2w
44=4w+12
32=4w
8=w
l=8+6
l=14
area=lw
area=14x8
area=112 ft square
Answer: Small number = 15.
Larger number = 20
Step-by-step explanation:
Let the smaller number be x.
The larger of two numbers is five more than the smaller. Thus, the larger number is x+5.
Twice the larger is twenty less than four times the smaller. This can.be written as:
2(x + 5) = 4x - 20
2x + 10 = 4x - 20
2x - 4x = -20 - 10
-2x = -30
x = 30/2
x = 15
The smaller number is 15
Larger number = x + 5 = 15 + 5 = 20
<u>Part A</u>
If the number is n, then the expression is 7n+6.
<u>Part B</u>
Three times the sum of a number and 8.
Answer:
$1.83
Step-by-step explanation:
$2.15 (original price of cookies) - 15% (discount) = $1.83 (rounded since the original total was: 1.8275)
