Answer:
Perimeter : 22.81 to the nearest hundredths
Area: 24 square units
Step-by-step explanation:
The vertices of ∆ABC are located at A(-2, 2), B(6, 2), and C(0, 8).
The perimeter is the distance around the figure.
Use the distance formula to find the side lengths of the triangle and add them up.
The distance formula is
units
units
units
The perimeter is 8+6.32+8.49=22.81 units
square units.
Answer: l
=
16
,
b
=
10
Explanation:
Step-by-step explanation:
Perimeter of rectangle is
p
=
2
(
l
+
b
)
=
52
,
l
is length and
b
is breadth.
Area of rectangle is
A
=
l
⋅
b
=
160
∴
l
=
160
b
;
∴
2
(
160
b
+
b
)
=
52
or
(
160
b
+
b
)
=
26
or
160
+
b
2
b
=
26
or
160
+
b
2
=
26
b
or
b
2
−
26
b
+
160
=
0
or
b
2
−
16
b
−
10
b
+
160
=
0
or
b
(
b
−
16
)
−
10
(
b
−
16
)
=
0
or
(
b
−
16
)
(
b
−
10
)
=
0
∴
b
=
16
or
b
=
10
If
b
=
16
;
l
=
160
16
=
10
and if
b
=
10
;
l
=
160
10
=
16
The dimension of rectangle is
l
=
16
,
b
=
10
[Ans]
As the exterior angles always add up to 360, you can find the number of sides by dividing 360 by the measure of your exterior angle, 30. This gives you 360/30=12, meaning your polygon has 12 sides.
Answer:
<em>The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city</em>
(48.937 , 50.863)
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given data random sample of 46 bins, the sample mean amount was 49.9 pounds and the sample standard deviation was 3.641
<em>The sample size 'n' =46</em>
<em>mean of the sample x⁻ = 49.9</em>
<em>Standard deviation of the sample S = 3.641</em>
<u>Confidence intervals:</u><em>-</em>
<em>The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city</em>
<em></em>
<em></em>
<em>Degrees of freedom = n-1 = 46-1 =45</em>
<em>The tabulated value t₀.₉₆ = 1.794 ( from t-table)</em>
<em></em>
<em></em>
(49.9 -0.9630 , 49.9+0.9630)
(48.937 , 50.863)
<u>Conclusion:</u>-
<em>The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city</em>
(48.937 , 50.863)
Answer:
The rational zero of the polynomial are
.
Step-by-step explanation:
Given polynomial as :
f(x) = 4 x³ - 8 x² - 19 x - 7
Now the ration zero can be find as
,
where P is the constant term
And Q is the coefficient of the highest polynomial
So, From given polynomial , P = -7 , Q = 4
Now , ![\dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20factor%20of%20%5Cpm%20P%7D%7B%5Ctextrm%20factor%20of%20%5Cpm%20Q%7D)
I.e
=
Or, The rational zero are ![\pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1](https://tex.z-dn.net/?f=%5Cpm%20%5Cfrac%7B7%7D%7B4%7D%2C%20%5Cpm%20%5Cfrac%7B1%7D%7B4%7D%2C%5Cpm%20%5Cfrac%7B7%7D%7B2%7D%2C%5Cpm%20%5Cfrac%7B1%7D%7B2%7D%2C%5Cpm%207%2C%5Cpm%201)
Hence The rational zero of the polynomial are
. Answer