Answer:
Answer D is correct
Step-by-step explanation:
<em>Twice</em><em> </em><em>a</em><em> </em><em>certain</em><em> </em><em>number</em><em> </em><em>is</em><em> </em><em>5</em><em>8</em>
<em>
</em>
<em>Four</em><em> </em><em>times</em><em> </em><em>that</em><em> </em><em>number</em><em> </em><em>will</em><em> </em><em>be</em>
<em>
</em>
Answer:
-i
Step-by-step explanation:
3i-4i=-i
Answer:
2.
sinα=√3/(2√7)
cosα=5/(2√7)
tanα=5/√3
cscα=(2√7)/√3
secα=(2√7)/5
*note* you can simplify the above further (by rationalizing them), but I think it's probably fine to leave them as is *
3.) g15.9
4.)25.4
5.) 70.8
6.) 36.4
Step-by-step explanation:
Cot is the inverse of toa so cot= adj/opp
This means the traingle's adjacent side is √3 and its opposite is 5
with this information let's figure out the hypotonouse
√3²+5²=c²
3+25=c²
28=c²
√28=c
√28=2√7
which means the triangle's
opposite= √3
hypotonous= 2√7
Adjacent= 5
With all of this we can just plug in the numbers to find the missing information (where α=angle or theta)
sinα=√3/(2√7)
cosα=5/(2√7)
tanα=5/√3
cscα=(2√7)/√3
secα=(2√7)/5
For this one we have the adjacent and need the opposite
we will use TOA
Tan(25)=x/34
34tan(25)=x
x=15.9
4.) For this one we have the adjacent but need the hypotonouse
we will use CAH
cos(48)=17/x
17/cos(48)=x
x=25.4
5.) for number 5 we have the oppsite and hypotonouse and so we'll use SOH
sin(α)=17/18
α=70.8
6.) For this one we have the opposite and adjacent and so we'll use TOA
Tan(α)=(31/42)
α=36.4
Laila has to pay $75 regardless of how many shirts she gets but has to pay an additional $8 per shirt. So when you set up your equation you are going to set it equal to c (the total cost). So c=75+8x. The reason there is a variable after 8 is because we aren’t sure how many shirts she’s buying yet.
Point slope form
y-y1=m(x-x1)
slope=m
a point is (x1,y1)
slope=(y2-y1)/(x2-x1)
given
(-6,4) and (2,0)
slope=(0-4)/(2-(-6))=-4/(2+6)=-4/8=-1/2
a point is (-6,4)
x1=-6
y1=4
y-4=-1/2(x+6)
not listed
