2. A triangle with angle measures 48 degrees, 65 degrees, and 67 degrees is a(n) ________ triangle. *
Answers
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Theright answerisAcute.
Explanation
Acuteangletrianglearethosewhichismorethan0degreeandlessthan90degree.
Hope ithelp
Goodluck on your assignment
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The probabilities of a test are represented by I for infected; U, uninfected; D, infection detected; and N, no infection detected. What is the symbolic way to represent the probability of a true positive?
Use the following compound interest formula to complete the problem. Sandra has two credit cards, P and Q. Card P has a balance of $726.19 and an interest rate of 10.19%, compounded semiannually. Card Q has a balance of $855.20 and an interest rate of 8.63%, compounded monthly. Assuming that Sandra makes no purchases and no payments with either card, after four years, which card’s balance will have increased by more, and how much greater will that increase be? a. Card Q’s balance increased by $7.22 more than Card P’s balance. b. Card Q’s balance increased by $6.69 more than Card P’s balance. c. Card P’s balance increased by $3.43 more than Card Q’s balance. d. Card P’s balance increased by $0.80 more than Card Q’s balance.
Find the solution of the square root of the quantity of x plus 3 plus 6 equals 9 and determine if it is an extraneous solution. ( A. x=0 extraneous; B. x=0 non-extraneous; C. x=6 extraneous; D. x=6 non-extraneous)
Answers
Answer:
6x-y=4 in standard form.
Step-by-step explanation:
Answer:
-6x+y=-4
Step-by-step explanation:
subtract 6x from both sides
Answers
set x=0
4t=8(0)-3
4y=-3
divide by 4
y=-3/4
the yintercept is at y=-3/4 or at point (0,-3/4)
b. the line that minimizes the vertical distances of the data points from the line.
c. the line such that half of the data points fall above the line and half fall below the line.
d. All of the choices are correct.
Answers
Answer:
a. the line that passes through the most data points.
Step-by-step explanation:
Regression analysis, is used to draw the line of‘ best fit’ through co-ordinates on a graph. The techniques used enable a mathematical equation of the straight line form y=mx+c to be deduced for a given set of co-ordinate values, the line being such that the sum of the deviations of the co-ordinate values from the line is a minimum, i.e.
The least-squares regression lines is the line of best fit
Answers
Answer:
Volume of the portion = 1.6 cubic inches
Step-by-step explanation:
Since, wooden dowel is in the shape of a cylinder,
Formula to be used to find the volume of the part Anna has cut from the dowel will be,
Volume = πr²h
Where r = radius of the cylinder or part of the wooden dowel
h = length of the portion
By substituting the values in the formula,
Volume = π(0.5)²(2)
= 0.5π
= 1.57 in³ ≈ 1.6 cubic inch
Therefore, volume of the portion will be 1.6 in³.
Answers
Answer:
Step-by-step explanation:
I see that you want to find the equation of a linear function that forms a right triangle with the x-axis, y-axis, and has an area of 50 square units. To clarify, let's work through this step by step.
A right triangle can be formed with the x-axis and y-axis as two sides, and the third side represented by the graph of a linear function. The area of this right triangle can be found using the formula for the area of a triangle:
Area = (1/2) * base * height
In this case, one of the legs (base) of the right triangle is along the x-axis, and its length is determined by the x-coordinate at which the linear function crosses the x-axis. The other leg (height) is along the y-axis, and its length is determined by the y-coordinate at which the linear function crosses the y-axis.
Let's assume that the linear function is of the form:
f(x) = mx + b
where "m" is the slope and "b" is the y-intercept.
The x-coordinate where the linear function crosses the x-axis is given by:
x-coordinate = -b/m
The y-coordinate where the linear function crosses the y-axis is "b."
Now, let's calculate the area of the right triangle:
Area = (1/2) * (length of base) * (length of height)
Area = (1/2) * (-b/m) * b
Given that the area is 50 square units, we can set up the equation:
(1/2) * (-b/m) * b = 50
Now, you can solve this equation for "m" and "b" to find the equation of the linear function that satisfies the given conditions.
Answers
Problem 1
Answer: Choice B) angle1 = 26, angle2 = 64
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Explanation:
Complementary angles add to 90
(angle1)+(angle2) = 90
(5x+6)+(68-x) = 90
4x+74 = 90
4x = 90-74
4x = 16
x = 16/4
x = 4
So,
angle1 = 5x+6 = 5(4)+6 = 26
angle2 = 68-x = 68-4 = 64
Note how
angle1+angle2 = 26+64 = 90
to help check our answer
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Problem 2
Answer: Choice D) BC, AC, AB
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Explanation:
The shortest side of a triangle is always opposite the smallest angle.
The longest side of a triangle is always opposite the largest angle.
Based on those two facts, we can say the shortest side is BC (since angle A = 53 is the smallest angle) and the longest side is AB (since angle C = 70 is the largest)
The order from smallest to largest is
BC, AC, AB
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Problem 3
Answer: Choice D) B < C < A
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Explanation:
Use the reverse of the idea from problem 2. We know that AC is the smallest side which must mean that angle B is the smallest angle. Since BC is the largest side, angle A must be the largest angle.
The order of the angles is B < C < A
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Problem 4
Answer: Choice A) angle 5 = 50, angle 8 = 130
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Explanation:
The same side exterior angles must be supplementary to have parallel lines.
==========================================
Problem 5
Answer: Choice A) angle G is the smallest
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Explanation:
Use the same idea as problem 2. The smallest angle is opposite the smallest side. The smallest side is 48, so angle G being opposite of that side, is the smallest angle.
Angle O would be the largest as it is opposite the largest side DG = 70