A goniometer may be used to measure the range of motion of a joint. A health professional is measuring the angle of a person's back and elevated leg. The symbol theta is used to represent the angle measurement. In the picture, the angle made by the goniometer is classified as a(n) angle. ° < θ < °

Answer:

I think it's AB

Step-by-step explanation:

Since its the opposite of AD

The answer is 4 while rounding. If you need the exact answer, it is 4.019685039370

Answer:

4

Step-by-step explanation:

If Judge is x years old and Eden is 6 years older, then Eden is x + 6 years old.

The second part tells us that Eden will be twice as old as Judge in two years.

This means that in two years: (Eden's age) = 2 * (Judge's age).

Since we know that Eden's age can be represented as x + 6 and Judge's age can be represented as x, we can write this: x + 6 = 2 * x

Simplify the equation:

x + 6 = 2x

6 = x = Judge's age (in two years)

If Judge is 6 two years later, then he must be 4 now.

To check our work, we can just look at the problem. Judge is 4 years old and Eden is 6 years older than Judge (that means Eden is 10 right now). Two years later, Eden is 12 and Judge is 6, so Eden is twice as old as Judge. The answer is correct.

Answer:

  yes

Step-by-step explanation:

The domain is the set of x-coordinates of the points. The range is the set of y-coordinates of the points.

The plan would be to read and list the x-coordinates and the y-coordinates and use those lists as the answer to the question of domain and range, respectively.

Answer:

Interval Data

Step-by-step explanation:

Interval data are classified as such because they have a definite ordering and the differences between data sets can be determined and measured. This is applied in the measurement of temperature readings.

The data provided in the example can be ordered from lowest to highest and vice versa and the differences between the temperature ranges can be measured. For example, the difference between 76 degrees fahrenheit and 71 degrees fahrenheit is 5 degrees fahrenheit. However, comparisons in the form of ratios are not done with the temperature readings in the interval scale.

Answer:

d=-5

Step-by-step explanation:

-4d-37=7d +18

move the terms to its correct side

-4d-7d=18+37

calculate the like terms together.

-11d=55

divide both sides by -11. both of the negavtive (-11) will cancel out and become d on the left and on the right 55 will be divided by -11 = -5. the 5 is negative because there's a negative -11 if there were a postive 11 it will be 5 instead of D=-5

Answer:

4th-degree trinomial

Step-by-step explanation:

The question is missing it's root sign; it should be 7x^4-5x+4

Answer:

122 degrees

Step-by-step explanation:

180-58=122

Answer:

a = 0

b = [tex]\frac{\pi }{4}[/tex]

c = 0

d = 3

e = 5

f = [tex]\sqrt{34-r^2}[/tex]

Step-by-step explanation:

Equation of the solid sphere = x^2 + y^2 + z^2 ≤ 34 ------- (1)

at Z = 5

since the bottom of the sphere(z) is flat = 5 we will use cylindrical coordinates

concentrating in the first octant as mentioned in the question

at Z = 5 , equation 1 becomes :

  x^2 + y^2 + 25 ≤ 34 = x^2 + y^2 = 9  

hence the radius around the xy axis = [tex]\sqrt{9}[/tex] = 3

that means the radius is : 0 ≤ r ≤ 4 ,  0 ≤ ∅ ≤ [tex]\frac{\pi }{4}[/tex]

next we have to find the upper bound of: Z = ±[tex]\sqrt{34-r^2}[/tex] we will pick out only the positive

5 ≤ z ≤ [tex]\sqrt{34 - r^2}[/tex]

therefore for the  Volume = ∫ba∫dc∫fe

a = 0

b = [tex]\frac{\pi }{4}[/tex]

c = 0

d = 3

e = 5

f = [tex]\sqrt{34-r^2}[/tex]

Answer:

1 / 125

Step-by-step explanation:

Since there are 3 digits after the decimal point, we know that our denominator will be 10³ = 1000. Since the only non-zero digit after the decimal point is 8, we know that the numerator is 8. Therefore, the answer is 8 / 1000 = 1 / 125.

Answer:

Explanation below

Step-by-step explanation:

First, it seems you are trying to get the 95% confidence interval (not just interval) for the predicted rate of Childhood Asthma in the city.

This city's particulate is 13 ppm.

The answer is "not reasonable".

Why?

This is because no data is given on the children in the city. 13 ppm is the value for the city's particulate; it is not the mean value for the predicted rate of childhood asthma in the city. If this mean value were available, the 95% confidence interval would be created around this mean.

Answer:

The answer is below

Step-by-step explanation:

A transformation is the movement of a point from its initial position to a new position. If an object is transformed, all its points are also transformed. Types of transformation are reflection, translation, reflection and dilation.

When the polygon is translated and reflected, for the translation, Jada needs to provide the distance and direction of the vertical movement (up or down) and the distance and direction of the horizontal movement (left or right) ehile for the reflection, Jada needs to provide the line of reflection so as to know which transformation is applied.

Answer:

the original figure before a transformation has been performed.

Step-by-step explanation:

plz pick me brainliest

Answer:   393.2 units²

Step-by-step explanation:

Since you know the length of two sides and the measure of the included angle, you can use the following trig formula:

[tex]A=\dfrac{1}{2}ab \sin C[/tex]

Given: a = 24, b = 40, C = 55°

[tex]A=\dfrac{1}{2}(24)(40) \sin 55^o\\\\.\quad =480\sin 55^o\\\\.\quad =393.2[/tex]

Answer:

[tex]\huge \boxed{\mathrm{393.2 \ units^2 }}[/tex]

Step-by-step explanation:

We can solve for the area of the triangle when two sides are given and the angle in between the two sides.

[tex]\displaystyle A=\mathrm{\frac{1}{2}ab \cdot sinC }[/tex]

[tex]\displaystyle A=\mathrm{\frac{1}{2} \cdot 24 \cdot 40 \cdot sin55 }[/tex]

[tex]\displaystyle A=\mathrm{480 \cdot sin55 }[/tex]

[tex]\displaystyle A=\mathrm{393.19298125...}[/tex]

The area of the triangle is 393.2 units².

Answer:

yes and no

Step-by-step explanation:

Substitute the given values for x into the equationand if the value obtained is equal to the right side then it is a solution.

(a)

x + 7 = 5 + 7 = 12 ← True , thus x = 5 is a solution

(b)

2x - 3 = 2(7) - 3 = 14 - 3 = 11 ≠ 10, thus x = 7 is not a solution

Answer:

k = -3

k =5

Step-by-step explanation:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d = 5\\(-1,1) =(x_1,y_1)\\(2,k)=(x_2,y_2)\\[/tex]

[tex]5=\sqrt{\left(2-\left(-1\right)\right)^2+\left(k-1\right)^2}\\\\\mathrm{Square\:both\:sides}:\quad 25=k^2-2k+10\\25=k^2-2k+10\\\\\mathrm{Solve\:}\:25=k^2-2k+10:\\k^2-2k+10=25\\\\\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}\\k^2-2k+10-25=25-25\\k^2-2k-15=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}k^2-2k-15:\quad \left(k+3\right)\left(k-5\right)\\\mathrm{Solve\:}\:k+3=0:\quad k=-3\\[/tex]

[tex]\mathrm{Solve\:}\:k-5=0:\quad k=5\\\\k =5 , k=-3[/tex]

A = (-1, 1) and B = (2, k) so:

[tex]d(A,B)=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}=\sqrt{(2-(-1))^2+(k-1)^2}=\\\\=\sqrt{3^2+(k-1)^2}=\sqrt{9+k^2-2k+1}=\sqrt{k^2-2k+10}\\\\\\d(A,B)=5\\\\\sqrt{k^2-2k+10}=5\quad|(\ldots)^2\\\\\big|k^2-2k+10\big|=25\\\\k^2-2k+10=25\qquad\vee\qquad k^2-2k+10=-25\\\\k^2-2k-15=0\qquad\vee\qquad k^2-2k+35=0\\\\\\\Delta_1=(-2)^2-4\cdot1\cdot(-15)=64>0\qquad\text{two solutions}\\\\\Delta_2=(-2)^2-4\cdot1\cdot35=-136<0\qquad\text{no solutions}\\\\\\k_1=\dfrac{2-\sqrt{64}}{2}=\dfrac{2-8}{2}=\dfrac{-6}{2}=\boxed{-3}[/tex]

[tex]k_2=\dfrac{2+\sqrt{64}}{2}=\dfrac{2+8}{2}=\dfrac{10}{2}=\boxed{5}[/tex]

Answer: 1 1/9.

Step-by-step explanation: Divide the numerator by the denominator.  Write the whole number answer.  Make a fraction from the remainder and the original denominator.  To get back to an improper fractions, add the whole number to the numerator.

Answer:

B

Step-by-step explanation:

Because 9 = 5 +4

Answer:

It is sometimes true

Step-by-step explanation:

Fractions are positive rational numbers, and 2*1/2 is 1, which is less than 2. Here's a picture that might help.

Answer:

54 [tex]m^2[/tex]

Step-by-step explanation:

To find the area of a triangle use the formula a = 1/2bh

The altitude is the same as height so we can substitute 12 for h and 9 for b

Now the equation will become

a = 1/2 · 9 · 12

When you multiply it, it become 108/2 = a simplified to a = 54

Answer:

A. 77

Step-by-step explanation:

The mode of a data set is the value that appears the most number of times.

Here, we see that all the values appear once, except for 77, which appears twice:

74, 73, 76, 77, 71, 68, 65, 77, 67, 66

Thus, the answer is A, 77.

~ an aesthetics lover

Answer:

The answer is A.

Step-by-step explanation:

Mode is the value that occurs most frequently in a group.

So in this group, 77 appears the most.

Answer:

32.5 is greater than 30.8

Answer: greater than

Step-by-step explanation:

32.5 is greater than 30.8

32.5-30.8=1.7

The difference is positive, which means 32.5 is greater than 30.8

EXTRA: 32.5 is 1.7 more than 30.8

Hope this helps!! :)

Please let me know it you have any question

Answer:

Right Angle

Step-by-step explanation:

Its a Right angle because if you see a square box on a 90 degree measurement then its a right angle.

Answer:

[tex]\boxed{\bold{\huge{\boxed{Right}}}}[/tex]

Step-by-step explanation:

If an angle’s measure is 90° then it is said to be a Right angle.

Answer:

[tex]x = 27 \frac{1}{3} [/tex]

Step-by-step explanation:

The little square on ∠AOC indicates that it is a right angle, which means that ∠AOC= 90°

∠AOC= ∠AOB +∠BOC

90°= (x+8)° +2x°

x +8 +2x= 90

3x +8= 90 (simplify)

3x= 90 -8 (-8 on both sides)

3x= 82

x= 82 ÷3

[tex]x = 27 \frac{1}{3} [/tex]

Answer:

90 hours

Step-by-step explanation:

Start at (0,-11) and move up 7 on the y axis and over 3 on the x axis and you’ll have your line

Answer:  3528.25

Step-by-step explanation:Make a sideview sketch

you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°

the side opposite the 3° angle is 1000

by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)

x/sin24 = 1000/sin3

x = 1000sin24/sin3

let the height of the mountain be h

sin 27 = h/x

h = x sin27 = (1000sin24/sin3)(sin27)

= 3528.25

Explanation:

There are 8 sides total since there are 2 sides per "arm" of this 4-sided star shape. So we have an octagon.

This octagon is not regular because some of the internal angles are over 180 degrees. This is due to this polygon being concave. In a concave polygon, some vertices are closer to the center compared to other vertices. For a regular polygon to be possible, all vertices must be the same distance away from the center.

In the diagram below, I have marked the vertices in red and blue. The red vertices are closer to the green center point, compared to the blue vertices.

Answer:

2

Step-by-step explanation:

Answer:

An= 8 x (1/2)^(n-2) and the average rate of change is 6

Step-by-step explanation:

Answer:

if angle dfb and angle cea measure something other than 90degrees, then line we is not equal to line bf. in this case, line and and line cd intersect at a single point.

Answer:

-2x is the slope, the full equation is y=-2x+.5.

Step-by-step explanation:

y=-2x+.5

Answer: The slope is -2.

Step-by-step explanation: Using the slope using the equation (y2-y1/x2-x1) you can find the slope. So 2.5 would be y2, 9.5 would be y1. After you plug in your numbers to the correct variable your answer should be -2.