Cos B = c/a
cosine is adjacent over hypotenuse.
there is an acronym for this: soh-cah-toa
soh: sine is opposite over hypotenuse
cah: cosine is adjacent over hypotenuse
toa: tangent is opposite over adjacent
X= 75
y= 105
this is because x is equal to the angle with 75, y us 105 because 180-75=105. 180 is found because the angle of a line is 180
<em>Refer to the attachment for solution and below for steps!!~</em>
- Write the number in exponential form with the base of 2/7
- Use
To transform the expression
For squrae
area=side²
perimiter=4(side)
for circle
area=pir²
circumference=2pir
side=diameter, diameter/2=radius=side/2
find area not covered
that is areasquare-areacircle
areasquare=26²=676 sqauare inches
areaciecle, diameter=side, 26/2=13, area=pi13²=169*3.14=530.66 square inches
areanotcovered=676-530.66=145.34 square inches not coverd
ratio of perimiter to circumferece
perimiter=4*26=104
circumference=2pir=2pi13=26pi=26*3.14=81.64
circumference to perimiter is 81.64/104=0.785
Answer:
Please check the explanation.
Step-by-step explanation:
The general quadratic equation is
ax²+bx+c=0
The discriminant = D = b² - 4ac
When b² - 4ac = 0 there is one real root.
When b² - 4ac > 0 there are two real roots.
When b² - 4ac < 0 there are two complex roots.
1) x² -6x + 9=0
On comparing with given quadratic equation x² -6x + 9=0
a = 1, b=-6, c=9
D = b² - 4ac
= (-6)² - 4(1)(9)
= 36 - 36
= 0
D = 0
Thus, there is one real root of quadratic equation x² -6x + 9=0.
2) x² -4x + 3=0
On comparing with given quadratic equation x² -4x + 3=0
a = 1, b=-4, c=3
D = b² - 4ac
= (-4)² - 4(1)(3)
= 16 - 12
= 4
D > 0
Thus, there are two real roots of quadratic equation x² -4x + 3=0.
3) x² -7x - 4=0
On comparing with given quadratic equation x² -7x - 4=0
a = 1, b=-7, c=-4
D = b² - 4ac
= (-7)² - 4(1)(-4)
= 49 + 16
= 65
D > 0
Thus, there are two real roots of quadratic equation x² -7x - 4=0
4) 2x² +3x +5=0
On comparing with given quadratic equation 2x² +3x +5=0
a = 2, b=3, c=5
D = b² - 4ac
= (3)² - 4(2)(5)
= 9 - 40
= -31
D < 0
Thus, there are two complex roots of quadratic equation 2x² +3x +5=0
