Find the length of AB , given A(5,-2) and B(-3,-4)

Answer:

78.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The side y is across from the angle Y which is 68 degrees. Angle Y is next to both the hypotenuse (14 units) and adjacent to the side XY (5 units). If we are finding side y, we need to use one of the trig ratios that relates the angle Y to the side across from it. That would be either the sin of Y which is the side opposite y) over the hypotenuse (14) or the tan of Y which is the side opposite over the side adjacent. Either one will get you the side lengths within a tenth or hundredth of each other. Let's do both, just because. First the sine:

[tex]sin(68)=\frac{y}{14}[/tex] and

14sin(68) = y so

y = 12.98 and rounded to the nearest tenth is 13.0

Now the tangent:

[tex]tan(68)=\frac{y}{5}[/tex] and

5tan(68) = y so

y = 12.37 and rounded to the nearest tenth is 12.4.

As an integer, your answer would be 13; as a decimal it would be the 12.4

Apparently, either is fine.

Answer: 300 ways

Step-by-step explanation:

We have to calculate each pair of students. You do this by multiplying 25*24 and then dividing it by 2 because then you would count them 2 times. After solving, you get 300 ways. ( It is correct because I entered it. ).

Answer: I’m pretty sure is letter A

Answer:

The value of cos theta for 0° < theta < 90° will be 20 / 29

Step-by-step explanation:

To solve this problem we can express three trig functions as ratios involving the sides of a right-angle triangle,  the adjacent side, the opposite side and the hypotenuse. In this case sin θ = a / c, such that a = 21 and c = 29.

By Pythagorean Theorem,

[tex]b = \sqrt{c^2-a^2} = \sqrt{29^2-21^2} = \sqrt{841-441} = \sqrt{400} = 20[/tex]

Therefore cos θ = b / c = 20 / 29. This is the cosine ration of the adjacent side over the hypotenuse.

Answer:

-6/5

Step-by-step explanation:

The slope is (4 - (-2)) / (-1 - 4) = (4 + 2) / (-5) = 6 / -5 = -6/5.

Answer:

-6/5

Step-by-step explanation:

We can find the slope by using the slope formula

m = (y2-y1)/(x2-x1)

    = (4 - -2)/(-1 -4)

   = (4+2)/ ( -1-4)

   =-6/5

Answer:

Step-by-step explanation:

(0+2)/(0-10)= 2/-10 = -1/5

y - 0 = -1/5(x - 0)

y = -1/5x

solution is D

Answer:

260 cm^2

Step-by-step explanation:

The area of a parallelogram is given by this formula:

● A= b*h

b is the base and h is the heigth.

The heigth of this parallelogram is 13 cm and its base is 20cm.

●A= 13*20 = 260 cm^2

Answer:

angle X = 136 degrees

Step-by-step explanation:

Given XYZW is a trapezoid means XY || WZ.

Given XW ≅ YZ means that base angles are equal

=>

XWZ = YZW = 44

Since interior angles between parallel lines are supplementary,

angle X = YXW = 180-XWZ = 180-YZW = 180-angle Z = 180-44 = 136 degrees

Answer:

Angle X =136 degrees

Step-by-step explanation:

Answer:

Answer A does not represent a function(I think)

Step-by-step explanation:

Because the Y-coordinates are the same.

Answer:

Step-by-step explanation:

Volume of cartoon = 5 cm × 8 cm × 15 cm

= 600 cm³

Volume of milk = 5 cm × 8 cm × 12 cm

= 480 cm³

Space = 600 cm³ - 480 cm³ = 120 cm³

Let depth be ' h '

15 × 5 × h = 480

Multiply the numbers

75h = 480

Divide both sides of the equation by 75

75 h / 75 = 480 / 75

Calculate

h = 6.4 cm

therefore, The depth of the milk is 6.4 cm

Hope this helps...

Best regards!!

Answer: [tex]f^{-1}(1)+f(-14)=20[/tex]

[tex]f^{-1}(-2)=10[/tex]  

Step-by-step explanation:

The given table :

x: -14,-7,-12,9,10,-2

f(x):11,-12,5,1,-2,13

Since f is invertible ( given) , then [tex]f^{-1}(x)[/tex]  exists.

Now , from table [tex]f^{-1}(1)=9[/tex]  [ x= 9 corresponding to f(x) =1]

[tex]f(-14)=11[/tex]                            [ f(x) = 11 corresponding to x=-14]

then, [tex]f^{-1}(1)+f(-14)=9+11=20[/tex]

So, [tex]f^{-1}(1)+f(-14)=20[/tex]

Also, x= 10 corresponding to f(x) =-2, then

[tex]f^{-1}(-2)=10[/tex]  

Answer:

The highest or the lowest point on the graph is the vertex of an absolute-value function!

Step-by-step explanation:

Answer:

The correct option is;

H. 32·π

Step-by-step explanation:

The given information are;

The time duration for one complete revolution = 75 seconds

The distance from the center of the carousel where Levi sits = 4 feet

The time length of a carousel ride = 5 minutes

Therefore, the number of complete revolutions, n, in a carousel ride of 5 minutes is given by n = (The time length of a carousel ride)/(The time duration for one complete revolution)

n = (5 minutes)/(75 seconds) = (5×60 seconds/minute)/(75 seconds)

n = (300 s)/(75 s) = 4  

The number of complete revolutions - 4

The distance of 4 complete turns from where Levi seats = 4 ×circumference of circle of Levi's motion

∴ The distance of 4 complete turns from where Levi seats = 4 × 2 × π × 4 = 32·π.

Answer:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

Step-by-step explanation:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

The true statement is:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top . A cone has one face . There are no edges for a cone.

Properties of Cone

As, from the properties of cone we can say that.

A cone is one-third the size of a cylinder with the same height and radius. and, : A cone has a circular base..

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Answer:

? = 35

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan ? = opp /adj

tan ? = 33/48

Take the inverse tan of each side

tan ^ -1 ( tan ? ) = tan ^ -1 ( 33/48)

? =34.50852299

? = 35

Answer:

348 km³

Step-by-step explanation:

The volume of the triangular prism can be calculated using the formula, Volume = base area of the prism*the length of the prism

Base area of the prism = area of triangle =  ½*base of the triangle*height of the triangle

Base of the triangle = 12 km

Height of the traingle = 5.8

Therefore,

Base area = ½*12*5.8

= 6*5.8

Base area = 34.8 km²

Length of prism = 10 km

Volume of prism = base area*prism length

= 34.8*10

Volume of triangular prism = 348 km³

Answer:

  4 cm

Step-by-step explanation:

The milk fills 12 cm of the 15 cm height, so fills 12/15 = 4/5 of the volume of the container.

When the container is laid flat so that the 5 cm direction is the height, the milk still fills 4/5 of the height. The dept of the milk in that configuration is ...

  (4/5)(5 cm) = 4 cm

Answer:

Depth = 4cm

Step-by-step explanation:

Well if the milk is turned to its orange side then 4cm will be depth because that's the new height.

Thus,

the new depth is 4cm.

Hope this helps :)

Answer:

Se necesitarían:

18 tubos

Step-by-step explanation:

La longitud total de la tubería con 24 tubos de 6 metros cada uno es:

24*6 = 144 metros

si los tubos fuesen de 8 metros:

144/8 = 18

Se necesitarían:

18 tubos

Answer:

-2 and 3 along the horizontal line

Step-by-step explanation:

There are two axes, plural for axis; the two main lines. The one that runs vertically is the y axis and the one that runs horizontally is the x axis. Now when you see the parabola which is the curve, it meets at three points. The points are -2 , 6, and 3. the ones we are focusing on are the -2 and 3 since they are the numbers/points on the x axis

Answer:

(Choice B) B It decreases.

Step-by-step explanation:

According to the situation, the solution of the value of the expression is as follows

Let us assume

r         80 -2r

5        80 - 10 = 70

4        80 - 8 = 72

3        80 - 6 = 74

2        80 - 4 = 76

1         80 - 2 = 78

As we can from the above calculation that expression value risen if r value decreased

Therefore the correct option is B.

Answer:

It increases

Step-by-step explanation:

Answer:

5/18

Step-by-step explanation:

There are 36 possible outcomes

There are 6 with a 2 as the first roll

There are 4 with a sum of 9

P( sum is 9 or that the first number is a 2)

                        =  sum is 9 or that the first number is a 2/total

                           ( 6+4) / 36

                          =10/36

                           =5/18

Answer:

[tex]x \leq -7[/tex]

The graph has a closed circle.

–7 is part of the solution.

Step-by-step explanation:

Given

[tex]15 \geq 22 + x[/tex]

Required

Select 3 options from the given list of options

[tex]15 \geq 22 + x[/tex]

Subtract 22 from both sides

[tex]15 - 22 \geq 22 - 22+ x[/tex]

[tex]-7 \geq x[/tex]

Swap positions of the expression; Note that the inequality sign will change

[tex]x \leq -7[/tex]

This means  x less-than-or-equal-to negative 7

There are two options left to select;

The inequality sign in [tex]x \leq -7[/tex] implies that the graph has a close circle.

Inequality signs such as [tex]\leq[/tex] and  [tex]\geq[/tex] signifies a close circle

There is only one option left to select;

Lastly;

Split the expression [tex]x \leq -7[/tex] into two

We have:

[tex]x < -7[/tex] or [tex]x = -7[/tex]

Because [tex]x = 7[/tex],

Then, -7 is also a part of the solution

Answer:

B) x less-than-or-equal-to negative 7

C) The graph has a closed circle.

E) –7 is part of the solution.

Step-by-step explanation:

Im not 100% sure but i am 95% sure they r

Answer: C. Yes, this means more rainfall causes apple trees to produce more fruit.

Step-by-step explanation:

A positive correlation exists when one variable increases as the other variable increases.

Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces definitely means that increase in rainfall will increase the a production of apple fruit.Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces means that more rainfall causes apple trees to produce more fruit.

Yes, this means more rainfall causes apple trees to produce more fruit.

We have given that,

There is a strong positive linear correlation between rainfall and the number of apples a tree produces.

A positive correlation exists when one variable increases as the other variable increases.

Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces definitely means that increase in rainfall will increase the production of apple fruit. Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces means that more rainfall causes apple trees to produce more fruit.

Option C is correct.

Yes, this means more rainfall causes apple trees to produce more fruit.

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its A

Step-by-step explanation:

dividing or multiplying a negative number in this will completely change the sign to opp side

-3x + 15 < 12

-3x < -3

x > 1

Option d i.e x<-9 represents all possible solutions of -3(x+5)>12

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

The given inequality is

-3(x+5)>12

-3x-15>12

-3x>12+15

-3x>27

Divide both sides by 3

-x>9

When we multiply negative sign on both sides the lesser than sign changes to greater.

x<-9.

Therefore option d represents all possible solutions of -3(x+5)>12.

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Answer:

The information given are;

[tex]r(V)=\sqrt[3]{\dfrac{V}{6\cdot \pi ^{2}}}[/tex]

Where;

r(V) = The radius of the doughnut (cm)

V = The volume of the doughnut (cm³)

The data are;

V,          r(V)

-30,     -0.8

-20,     -0.7

-10,      -0.55

0,          0

10,         0.55

20,        0.7

30,        0.8

From the table of values, the identified key features are;

a) There is a direct relationship between the radius and the volume of the doughnut

b) The correlation between the data increases to direct proportionality from the volume of 20 cm³ and above

c) The data values are symmetric and continuous about the y and x-axis

2) There is a direct linear relationship between radius, r and the volume V at end ends of the data between r and  V where V = -30 and-20 at one end and 20 and 30 at the other end

b) The x and y-intercept are

The x -intercept = (0, 0)

The x -intercept = (0, 0)

c) The pivot point is the point about which change occurs, therefore, the pivot point is the (10, 0.55)

d) The domain is a member of the set of real numbers, R while the range is also a member of the set of real numbers, R

Step-by-step explanation:

Answer: A. 82

Step-by-step explanation:

The measure of <BAD can be found by simply adding 25(<BAC)+57(<CAD) = 82.

[tex]\mathrm{BAD}=\mathrm{BAC}+\mathrm{CAD}=25^{\circ}+57^{\circ}=82^{\circ}[/tex].

Hope this helps.

Answer:

64 is the answer

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stay at home stay safe

Answer:

Each angles measures 64 degrees

Step-by-step explanation:

Bisect means divide in half

128/2 = 64

Each angles measures 64 degrees

Answer:

125

Step-by-step explanation:

1 x 1  x 1 = 1

5 x 5 x 5 = 125

125 / 1 = 125

125 is your answer

Answer:

117 R=0

Step-by-step explanation:

819:7= 117 R=0