Answer: 6cm
Step-by-step explanation:
Area of a triangle is 1/2bh
B= base
H= height
Area = 30cm
Substitute the values into the formula
Area= 1/2bh
30=1/2×10×h
30=5h
H=30/5
H= 6cm
Height of the triangle is 6cm
Answer: step-by-step
Step-by-step explanation:
decorative mug for $10.99
$10.99 x 6.4651 = 71.051449
(6.4651 is the chinese yuan conversion from 1 dollar)
(71.051449 is the total amount of the chinese yuans needed to buy the mug)
lmk if wrong, good luck!
The correct question is
Use the given information to find the exact value of the expression. sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
we know that
sin(α − β<span>) = </span>sin α cos β − cos α sin β
α lies in quadrant II
so
cos α is negative
sin α is positive
β lies in quadrant I
so
cos β is positive
sin β is positive
step 1
find sin β
cos β=15/17
sin² β+cos² β=1-----------> sin² β=1-cos² β----> sin² β=1-(15/17)²
sin² β=1-225/289-----> 64/289
sin β=8/17
step 2
find cos α
sin α = 21/29
cos² α + sin² α=1----> cos² α=1-sin² α---> cos² α=1-(21/29)²---> 1-441/841
cos² α=400/841------> cos α=-20/29 (remember cos α is negative)
step 3
find sin(α − β)
sin α = 21/29 cos α=-20/29
sin β=8/17 cos β=15/17
sin(α − β) = [21/29]*[15/17] − [-20/29*]*[8/17]
sin(α − β) = [315/493] − [-160/493]
sin(α − β) = 475/493
the answer is
sin(α − β) = 475/493
<u>Answer:</u> 100
<u>Reasoning:</u> The median is the "middle value" and to find it put the numbers in order from least to greatest.
22, 43, 100, 102, 108.
now take a number from both sides
43, 100, 102
Once again.
100
So 100 is the median.
Answer:
y=6
Step-by-step explanation:
Thats my answer hope it helps
