Type the correct answer in each box. If necessary, round your answers to the nearest hundredth. The vertices of ∆ABC are A(2, 8), B(16, 2), and C(6, 2). The perimeter of ∆ABC is (blank) units, and its area is (blank) square units.
Answers
Answer:
The perimeter of ∆ABC is 32.44 units, and its area is 30 square units....
Step-by-step explanation:
The perimeter is the sum of three distances.
To find the distances BC, CD, DB use the distance formula:
D=√(y2-y1)^2+(x2-x1)^2
We have given A(2, 8), B(16, 2), and C(6, 2).
AB= √(16-2)^2+(2-8)^2
AB= √(14)^2+(-6)^2
AB=√196+36
AB=√232 = 15.23
BC=√(6-16)^2+(2-2)^2
BC=√(-10)^2+0
BC=√100 = 10
CA = √(2-6)^2+(8-2)^2
CA=√(-4)^2+(6)^2
CA=√16+36
CA=√52 = 7.21
Perimeter = AB+BC+CA
Perimeter = 15.23+10+7.21
Perimeter = 32.44 units
For the area BC is the parallel to x-axis
area = (1/2)base * height
=(1/2)10*(ya-yb)
=(1/2)10*(8-2)
=(1/2)10*6
=30 unit²
The perimeter of ∆ABC is 32.44 units, and its area is 30 square units....
Answer:
perimeter of ∆ABC is 32.44 units, and its area is 30 square units
Step-by-step explanation:
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B 95%
C 10%
D 5%
Answers
Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Population Mean weight ()= 10 grams a piece
Standard deviation of the weight of a box = 3 grams
Number of mints = 10
We need to buy a box of mints that weighs 95 grams.
Sample mean is given by
First we find out the standard error which is given by
Since it is normal distribution, so, we will find z-score.
The area to the left of a z-score of -0.53 = 0.29805.
So, it may be 90% or 95 % confidence.
For 95% confidence level,
Similarly,
For 90% confidence level,
We have little confidence that the box he bought did not come from the factory. that is much smaller than 0.05.
So, it is safe to assume 90% confidence.
So, we will get 90% confidence, critical value = 1.645
Margin of error is given by
So, confidence interval will be
(10-1.56,10+1.56)
=(8.44,11.56)
Hence, Option 'A' is correct.
Answers
The angle should measure 90 degrees. We already know if 20 degrees, so we still need 70 degrees more. 2x=70 70/2=35
Answers
the correct answer is B. 8000
Answer: B
Step-by-step explanation: 16×500=8000
B: x = −2, x = −6
C: x = 3, x = −4
D: x = −3, x = 4
Answers
(x + 6)(x - 2) = 0
x + 6 = 0 x - 2 = 0
x = -6 x = 2
Answer A: x = 2; x = -6
Answer:
x = - 6; x = 2
Step-by-step explanation:
choosing ten students from a box that contains the names of the entire group
choosing five students each from seventh and eighth grade
choosing five female students and five male students
Answers
Answer:
Choosing ten students from a box that contains the names of the entire group
Step-by-step explanation:
If each and every unit has equal chance of being selected in a sample then it is called Random Sampling. Here choice of sample should be unbiased and independent.
Option (a) is incorrect because here selection of student is not independent as only those students are choosing who also participate in music class.
Option (b) is correct option as selection of students are independent and unbiased. Also here each student has equal chance of being selected in sample.
Option (c) can't be chosen as selection of student is done from particular cluster.
Option (d) is also incorrect as here we put condition of male and female students.
This is the only one where everyone has an equal chance of being chosen.
Answers
Answer:
An equation whose variables are polar coordinates is called a polar equation.
Step-by-step explanation:
Polar Equation--
A polar equation is a equation that describe the relationship between r and θ, where r is the distance from the pole to a point on a curve and θ is the angle subtended by that point with respect to the x-axis.
Hence, here r,θ acts as a variable of the equation.
So, we can change any rectangular equation in terms of variable x and y into the polar equation in terms of variable r and θ by using the transformation:
x=r cosθ and y=r sinθ.