Step-by-step explanation:
An acute angle is an angle less or equal to 90 degrees.
let the other angle be x.
x + 36 = 90
grouping like terms
X = 90 - 36
X = 54 degrees
Answer:
x = theta = 0°
Step-by-step explanation:
Given the trigonometry function
Tan²x/2-2 cos x = 1
Tan²x-4cosx = 2 ... 1
From trigonometry identity
Sec²x = tan²x+1
tan²x = sec²x-1 ... 2
Substituting 2 into 1, we have:
sec²x-1 -4cosx = 2
Note that secx = 1/cosx
1/cos²x - 1 - 4cosx = 2
Let cosx. = P
1/P² - 1 - 4P = 2
1-P²-4P³ = 2P²
4P³+2P²+P²-1 = 0
4P³+3P² = 1
P²(4P+3) = 1
P² = 1 and 4P+3 = 1
P = ±1 and P = -3/4
Since cosx = P
If P = 1
Cosx = 1
x = arccos1
x = 0°
If x = -1
cosx = -1
x = arccos(-1)
x = 180°
Since our angle must be between 0 and 1 therefore x = 0°
Step-by-step explanation:
Step one:
We are told that the store offers off 10% of sales, this means that the store is offsetting the price down by 10% hence a price reduction.
Moreso, <em>a coupon is a voucher entitling the holder to a discount off a particular product</em>. the coupon is 40%, hence this is equal to a discount, that is price reduction by 40%.
Step two:
<em>Say the price of an item is $100, a coupon if 40% will entitle the holder to only pay $60, that is</em>
=40/100*100
=0.4*100
=$40 off
= 100-40
=$60
<u>The total percent of reduction 10+40= 50%</u>
<u>This is equal to a discount on the sales price</u>
2.30% equals 2.30 as a decimal, 1/5 equals 0.2 as a decimal. So it would be: 1/5, 0.23, 2.30
Answer:
The perimeter is 46.
Step-by-step explanation:
You have to add the numbers 15 + 15 = 30 and 8+8 =16 then add 30 plus 16 which gets you 46.
