Answer:
The value of a₂₇ is 788
Step-by-step explanation:
a₁₉ = 548
a₃₃ = 968
Now,
a₁₉ = 548 can be written as
a + 18d = 548 ...(1) and
a₃₃ = 968 can be written as
a + 32d = 968 ...(2)
Now, from equation (2) we get,
a + 32d = 968
a + 18d + 14d = 968
548 + 14d = 968 (.°. <u>a + 18d = 548</u>)
14d = 968 - 548
14d = 420
d = 420 ÷ 14
d = 30
Now, for the value of a put the value of d = 30 in equation (1)
a + 18d = 548
a + 18(30) = 548
a + 540 = 548
a = 548 - 540
a = 8
Now, For a₂₇
a₂₇ = a + 26d
a₂₇ = 8 + 26(30)
a₂₇ = 8 + 780
a₂₇ = 788
Thus, The value of a₂₇ is 788
<u>-TheUnknownScientist</u>
Answer:
Ans = 7/8
Step-by-step explanation:
28 out of 32
= 28/32
Dividing through by 4
= 28/4 / 32/4
= 7/8
Applying the tangent ratio, the angle of elevation of the sun, to the nearest degree, is: 36°.
<h3>What is the Tangent Ratio?</h3>
In a right triangle, tan ∅ = opposite length / adjacent length is the tangent ratio.
Given the following:
- Angle of elevation = ∅
- Opposite length = 125 ft
- Adjacent length = 172 ft
Apply the tangent ratio:
tan ∅ = 125/172
tan ∅ = 125/172
∅ = tan^(-1)(125/172)
∅ ≈ 36°
Learn more about the tangent ratio on:
brainly.com/question/4326804
#SPJ1
1.82 x 10^-6
When it is a negative number, you move the decimal to the left.
0.00000182
Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(3,8)(-7,11)
d = sqrt (-7 - 3)^2 + (11 - 8)^2
d = sqrt (-10^2) + (3^2)
d = sqrt (100 + 9)
d = sqrt 109
d = 10.44
===============
mid-point formula : ((x1 + x2) / 2 , (y1 + y2) / 2)
(-9,5)(21,-7)
midpoint = ((-9 + 21)/2 , (5 + (-7)/2)
= ((12/2) , (-2,2))
= (6, -1) <==
=======================
(-8,7)(-9,11)
midpoint = ((-8 + (-9) / 2, (7 + 11)/2 )
= (-17/2, 18/2)
= (-8.5, 9) <==
======================
(8,y)(-11,6).....midpoint = (-1.5/5)
midpoint = ((8 + (-11)/2, (y + 6)/2)
= (-3/2), (4 + 6)/2
= (-1.5,5)
y = 4 <==
======================
slope = (y2 - y1) / (x2 - x1)
(3,-6)(6,12)
slope = (12 - (-6) / (6 - 3) = (12 + 6) / 3 = 18/3 = 6 <==
======================
(x,10)(-4,8)...slope = 2/3
y = mx + b
slope(m) = 2/3
(-4,8)...x = -4 and y = 8
sub and find b
8 = 2/3(-4) + b
8 = -8/3 + b
8 + 8/3 = b
24/3 + 8/3 = b
32/3 = b
equation is : y = 2/3x + 32/3 or 3y = 2x + 32
when y = 10
3(10) = 2x + 32
30 - 32 = 2x
-2 = 2x
-2/2 = x
-1 = x <===
=================
(9,0)(3,y)...slope = 1/2
y = mx + b
slope(m) = 1/2
(9,0)...x = 9 and y = 0
sub and find b
0 = 1/2(9) + b
0 = 9/2 + b
-9/2 = b
equation is : y = 1/2x - 9/2 or 2y = x - 9
sub in 3 for x and solve for y
2y = 3 - 9
2y = -6
y = -6/2
y = -3 <==
=================
(8,7)(11,7)...notice how the y values are the same. This means it is a horizontal line. A horizontal line has a slope of 0.
====================
sorry...not too good with the picture graphs
