Which is the equation of the line that passes through the points (-4, 8) and (1, 3)?

Answer:

x = 50

DGC: 130 degrees

Step-by-step explanation:

x and the angle next to the angle x-10 are vertical angles are equal, so that means the two angles that add up to 90 are x and x-10.

x + x - 10 = 90

2x - 10 = 90

2x = 100

x = 50

The measure of angle DGC is:

180 - x

180 - 50

130

Answer:

A' is (1,1) B is (4,1) C is (1,-1)

Step-by-step explanation:

Since we rotating the figure about point a, we know a is the center of the rotation meaning no matter how far we rotate point a new image will stay on where point a pre image was which in this case is (1,1). Also since we know the rules of rotating a angle 90 degrees About the origin we are going to translate the figure to have the one point we are rotating about at the orgin. Since translations are a rigid transformations, the figure will stay the same A. Move the figure 1 to the left and 1 down so A becomes 0,0 B becomes 0,3 and C becomes 2,0. Then apply the rules of 90 degree clockwise rotation rules. (x,y) goes to (y,-x) . A stays (0,0) B becomes (3,0) and C becomes (0,-2). Then translate the figure 1 to the right and 1 down since we rotating about point a which is 1,1 and it at 0,0 rn. A' is 1,1. B' becomes (4,1). C' becomes (1,-1).

Answer:

The area of the floor equals 229 square feet.

Step-by-step explanation:

The volume of a rectangular storage is given by the area of the floor multiplied by the height of the room. (It follows directly from the formula of a bar.) So the area of the floor is given by the volume of the rectangular storage divided by the height of the room. In symbols: [tex]V=Ah[/tex] gives [tex]h=\frac{V}{A}[/tex]. Substituting the given gives that [tex]h=\frac{2061}{9}=229[/tex] square feet, precisely what we were asked.

Answer:

The area of the floor is 229 ft.

Since you cannot really factor this problem easily, we are going to resort to the quadratic formula!

x= -b+or- sqrt(b^2-4ac)    / 2a

x=-17+ or - sqrt(17^2-4*50)   /2

x=-17+ or - sqrt89 /2

Now we just need estimate sqrt 89 which is about 9.43 and I will not bother to show the step I did to estimate its about 9.43.

So x= -17+ or -9.43 /2

x= -26.43/2 or -7.57/2

x=-13.215 or -3.785

Round to nearest tenth digit.

x= -13.2 or -3.8

Hope this helps any questions just ask in the comments.

Answer:

yes, x does have an exact proportion of y

Step-by-step explanation:

Answer:

[tex]x = -2.11490754, 0.25410168, 1.86080585[/tex]

Step-by-step explanation:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the (zeros), replace y  with 0 and solve for x.

Answer:

30+10y < 120

Step-by-step explanation:

Answer:

x=16

Step-by-step explanation:

Answer:

y = -1x + 6

slope ^   ^ y-intercept

Step-by-step explanation:

3x + 3y = 18

3y = -3x + 18

y = -1x + 6

hope this helps

Answer:

y int: 6 slope: -1

Step-by-step explanation:

Convert to y=mx+b format

3x + 3y - 18 = 0

3x - 18 = -3y

-1x + 6 = y

in mx+b format, m is the slope and b is the y-int:

m = -1

b = 6

Answer:

50

Step-by-step explanation:

you need to put  first the 32 on top of 100 since it always goes over 100 then you put 16 over a blank and you divide 32 by 16 which equals 2 so since you divided at the top you need to divide at the bottom so you divide 100 by 2 and you get 50 so 50 is your answer

1) $9.60

2)$13.77

3)$4.17

Step-by-step explanation:

Answer:

72.06

Step-by-step explanation:

Given that :

Side Lenght, a = 10

Edge length, b = 17

Using Pythagoras :

h = height of pyramid

h = sqrt (b² - 1/2a²)

h = sqrt(17^2 - 10^2/2)

h = sqrt(289 - 50)

h = 15.46

Slant height :

L = sqrt(h² + a²/4)

L = sqrt(15.46² + 25)

L = sqrt(239 + 25)

L = sqrt(264)

L = 16.25

Sinα = h/L

α = sin^-1 (15.46/16.25)

α = 72.060933

= 72.06

The approximate value of the angle formed between the base and a triangular face is 72.0775°.

Let [tex]h[/tex] be the distance between the center of the square base and the midpoint of the side of the square and let [tex]H[/tex] the height of the triangular face of the pyramid. By properties of the square and the Pythagorean theorem we derive expressions for [tex]h[/tex] and [tex]H[/tex], respectively:

Square base

[tex]h = 0.5\cdot L[/tex] (1)

Triangular face

[tex]H = \sqrt{l^{2}-0.25\cdot L^{2}}[/tex] (2)

Where:

Finally, by trigonometry we can derive an expression for the angle between the base and a triangular face ([tex]\theta[/tex]), in sexagesimal degrees:

[tex]\theta = \cos^{-1} \frac{h}{H}[/tex] (3)

If we know that [tex]L = 10\,km[/tex] and [tex]l = 17\,km[/tex], then the angle between the base and a triangular face is:

[tex]h = 5\,km[/tex]

[tex]H = \sqrt{17^{2}-5^{2}}[/tex]

[tex]H \approx 16.248\,km[/tex]

[tex]\theta = \cos^{-1} \frac{5\,km}{16.248\,km}[/tex]

[tex]\theta \approx 72.0775^{\circ}[/tex]

The approximate value of the angle formed between the base and a triangular face is 72.0775°.

We kindly invite to check this question on pyramids: https://brainly.com/question/16303112

Answer:

21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times

Step-by-step explanation:

Two have faces numbered 1,2,3,4,5, and 6

So for these two, each with 1/4 probability of being chosen, the probability of rolling two six is given by:

(1/6)^2 = 1/36

So

[tex]p_A = 2 \times \frac{1}{4} \times \frac{1}{36} = \frac{1}{72}[/tex]

One has faces numbered 2,2,4,4, 6 and 6;

The probability of rolling 2 faces six with this dice is:

(2/6)^2 = 4/36

This dice has 1/4 probability of being chosen. So

[tex]p_B = \frac{1}{4} \times \frac{4}{36} = \frac{1}{36}[/tex]

One has all six faces numbered 6.

The probabilityu of rolling two six is given by:

(6/6)^2 = 1^2 = 1

This dice has 1/4 probability of being chosen. So

[tex]p_C = \frac{1}{4} \times 1 = \frac{1}{4}[/tex]

Calculate the probability that a 6 is rolled both times

[tex]p = p_A + p_B + p_C = \frac{1}{72} + \frac{1}{36} + \frac{1}{4} = \frac{1 + 2 + 18}{72} = \frac{21}{72}[/tex]

21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times

Answer:

600/25 = 24

Brainiest plz :)

Answer:

600/25 = 24

Have a good day I hope this helps.

Answer:

0.4

Step-by-step explanation:

just do 6 divided by 15

Answer: 0.4 :)

Step-by-step explanation:

Answer:

twenty four dollars thirty cents

Answer:

27455

Step-by-step explanation:

32300per of 85

is 27455

Answer:

Step-by-step explanation:

That would be 8/5 = 1.3 = 130/100 = 130%

Answer:

78

Step-by-step explanation:

Ratio of left-footed teachers to right-footed teachers = 3:13

18 left-footed teachers; 3x6 = 18 (3:13 is a simplified ratio and to get 18, you have to multiply 3 by 6)

13x6 = 78 (whatever you do to one side, you have to do the other)

78 right-footed teachers

The are 78 teachers are right footed.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The ratio of the number of left footed teachers: the number of right footed teachers = 3:13

Total left footed teachers = 18

let the Common ratio be x.

Then , number of left footed teachers= 3x

and, number of right footed teachers= 13x

So, 3x= 18

x= 6

Hence, there are 78 teachers are right footed.

Learn mor about algebra here:

https://brainly.com/question/24875240

#SPJ2

Answer:

8/10, 16/20, 12/15

Step-by-step explanation:

Just multiply both the 4 and the 5 by the same number (any number), and you have an equivalent fraction.

Answer:

4/5

8/10

12/15

it's your answer

Answer:

Triangle C

Step-by-step explanation:

Given

Triangle A, B, C and D

Required

Pick the odd triangle

From the attachment, we can see that:

A = Right angled triangle

B = Right angled triangle

C = Obtuse triangle

D = Right angled triangle

This is so because triangle C has one of its angles to be greater than 90 (i.e. 115) and other triangles (A, B and D) have an angle equal to 90, each.

Because C is obtuse and others are right-angled, then C is the odd triangle.

Answer:

574

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

The car goes 28 miles on 1 gallon of gas. If you have 14 gallons you would go 14 times faster than if you only have 1 gallon

Answer:

Step-by-step explanation:

(x-5)2+8 = 92

2x-10+8 = 92

2x = 94

x = 47

Answer:

Step-by-step explanation:

2(n-5)+8=92

2n-10+8=92

2n-2=92

2n=94

n=47

9514 1404 393

Answer:

  (B)

Step-by-step explanation:

The power of x is 1 everywhere except equation (B), where it is 1/2.

Equation B is a nonlinear function of x.

Answer:

Step-by-step explanation: D

Answer:

0=0+x-x

Step-by-step explanation:

for example... plug in any number for x

0=0+5-5

Answer:

10,24,33 could form a triangle

Step-by-step explanation:

5 + 19 is not greater than 25

6 + 12 is not greater than 19

15 + 17 is not greater than 44