Solve using the quadratic formula. Approximate answers to the nearest tenth.

Answer:

9. 105

10. 50

11. 55

Step-by-step explanation:

9. 180-75=m<EFB

10. 90-40=m<EGB

11. 75+50+m<FBG=180

Answer:

a =31. b=11

Step-by-step explanation:

working is above

multiply on the right side of the =sign which gives you(14 and 33)

then compare or u can equate both sides

Answer:

the decimal expansion of 7/8 is

0.875

Answer:6

Step-by-step explanation:

becuase they play more games

Answer: piece of paper or a door

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know that

We also know that

Since 5! = 1*2*3*4*5 is divisible by 15:

We need to find the remainder when 1! + 2! + 3! + 4! is divided by 15 as all the rest are divisible by 15.

The sum is:

The remainder is:

As we see the remainder is 3

Answer:

114 feet

Step-by-step explanation:

the black and white will both have the same area. and given that each path is 1 ft wide and initially 12 ft long we can slowly determine the area.

x times 1 will still equal x

12(1) still equals 12 so we can just write it as 12.

12+12+11+11+10+10+9+9+8+8+7+7= 114

where I came up with this? there are a total of 12 sides if you follow the black path. and by every 2 sides the path gets shorter by 1 foot.

the white side also has 12 sides if you look. therefore both the black and the white part of the shape will have an area of 114.

Answer:

The probability of choosing a yellow marble then choosing another one without replacement is 1/30.

Step-by-step explanation:

First, get the total amount of marbles.

5 + 7 + 4 + 6 + 3 = 25 total marbles.

Now find the probability of finding a yellow marble.

P = 5 yellow marbles / 25 total marbles.

Now find the probability of finding a yellow marble after pulling one without replacement.

P = 4 yellow marbles / 24 total marbles.

To find the probability of both events happening, multiply the probabilities together.

(5/25) * (4/24)

Multiply the numerators and denominators.

20/600

Simplify.

1/30.

Answer:

45/16

Step-by-step explanation:

1 1/4 x 2 1/4

5/4 x 9/4

45/16

Answer:

x ≤ 3

Step-by-step explanation:

11

x

−

20

≤

13

Step 1: Add 20 to both sides.

11

x

−

20

+

20

≤

13

+

20

11

x

≤

33

Step 2: Divide both sides by 11.

11

x

11

≤

33

11

[tex]\huge{ \mathfrak{ Answer }}[/tex]

[tex] \#TeeNForeveR[/tex]

Answer:

Exact form

h=27/5

Decimal

h=5.4

Mixed

h=5 2/5

Answer:

27/5

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

5au+24av-5bu-30bv

rearrange it

5au+5bu-24av-30bv

similar letter cross each other

5a+5b-24a-30b

rearrange it

5a+24a-5b-30b

similar letter cross each other

5+24-5-30

29- -30=59

-and - = +

Answer:

38 cm²

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

P being the center :

The length of the minor arc AB is equal to the center angle it sees

so the value of arc AB is 150 degrees

Answer:

25%

Step-by-step explanation:

[tex]\frac{3}{12}[/tex] x 100 = 25%

A carton contains a dozen eggs, of which 3 contain no yolk. If 3 eggs are chosen then the probability that they all have no yolk is 3/12

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

A carton contains a dozen eggs, of which 3 contain no yolk. If 3 eggs are chosen at random for a cake.

one dozen eggs = 12 eggs

The probability that they all have no yolk = 3/12

Learn more about probability here;

https://brainly.com/question/11234923

Answer:

shorter length = 7 feet

longer length = 28 feet

Equation : 98 = 2x²

Step-by-step explanation:

A rhombus is a four sides quadrilateral with the four sides equal in length

The area of a rhombus =  [tex]\frac{1}{2}pq[/tex]

where p and q are the two diagonals

shorter length = x

longer length = 4x

98 = (1/2) ×4x × x

98 = 4x² x (1/2)

98 = 2x²

divide both sides of the equation by 2

49 = x²

find the square root of both sides

x = 7 ft

longer sides = 4 x 7 = 28 ft

Answer:

ım not speak english because i'm turkish

The angle of the depression is equal to the angle of elevation for the same place.

The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.

The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.

The angle of depression is the angle between the horizontal line and the line of sight which is below the horizontal line.

Given information-

The distance between the ship and dock is 7 ft.

The one sailor is standing 10 ft above the dock level.

The another sailor is standing on the dock.

The angle of depression and elevation is shown in the image.

Here the angle made by the sailor who is 10 ft above from the dock level on the ship is,

[tex]\tan \theta=\dfrac{10}{7}[/tex]

Find the value of angle as,

[tex]\theta=\tan ^-(\dfrac{10}{7})\\\theta=55[/tex]

Hence the angle of depression is 55 degree.

As the angle of the depression is equal to the angle of depression for the same place.

Thus the angle of elevation is 55 degrees.

Hence, The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.

Learn more about the angle of depression here;

https://brainly.com/question/10217662

30 is the answer the missing leg was 24

Answer:

Slope -[tex]\\\frac{1}{2}[/tex]

Y intercept 1

so option 2 or B

Step-by-step explanation:

Slope is rise over run so 1 over -2

so -1/2

and y intercept is where the line crosses the y axis and it crosses on this graph at positive 1.

Answer:

108$

Step-by-step explanation:

Answer:

Values near −1 indicate a strong negative linear relationship, values near 0 indicate a weak linear relationship, and values near 1 indicate a strong positive linear relationship. The correlation is an appropriate numerical measure only for linear relationships and is sensitive to outliers

Answer:

Values near −1 indicate a strong negative linear relationship, values near 0 indicate a weak linear relationship, and values near 1 indicate a strong positive linear relationship. The correlation is an appropriate numerical measure only for linear relationships and is sensitive to outliers.

Step-by-step explanation:

Answer:

origin

Step-by-step explanation:

because the arrow is pointing at zero so it is the origin

Answer:

x = 40

smaller angle is 80

larger angle is 100

Step-by-step explanation:

Supplementary angles add up to equal 180 degrees

Hence, x + 40 + 3x - 20 = 180

( note that we just created an equation that we can use to solve for x )

We now solve for x using the equation created

x + 40 + 3x - 20 = 180

step 1 combine like terms

x + 3x = 4x

40 - 20 = 20

we now have 4x + 20 = 180

step 2 subtract 20 from each side

180 - 20 = 160

we now have 160 = 4x

step 3 divide each side by 4

160 / 4 = 40

4x / 4 = x

we're left with x = 40

we now plug in 40 for x to find the value of each angle

x + 40

* substitute 40 for x *

40 + 40 = 80

3x - 20

* substitute 40 for x *

3 ( 40 ) - 20

3 * 40 = 120

120 - 20 = 20

so the larger angle is 100 degrees and the smaller angle is 80 degrees

Using Pythagorean's theorem we can see that the distance is 13.6 miles.

You can think of this as a right triangle.

The two distances that you drive are the legs of it, and the distance betwen the initial point and the final point is the hypotenuse of the triangle.

Then we can use Pythagorean's theorem to find the hypotenuse, we know that:

H^2 = A^2 + B^2

H = √(A^2 + B^2)

Where:

A = 8 miles.

B = 11 miles

REplacing that we will get:

H = √( (8mi)^2 + (11mi)^2)

H = 13.6 miles.

Learn more about right triangles at:

https://brainly.com/question/2217700

#SPJ1

Answer:

x (x^2+4)

Step-by-step explanation:

See the steps below:)

Answer:

tgα = 9/8

secα = 10/8

cscα = 10/9

ctgα = 8/9

Step-by-step explanation:

PAra resolver esto, es necesario conocer como se determinan las funciones trigonométricas en general. Ya tenemos el valor del seno y coseno de un angulo dado (supongamos un angulo α)

Si senα = 9/10 y cosα = 8/10, para calcular la tangente se aplica la siguiente expresión:

tgα = senα / cosα  (1)

Reemplazando tenemos:

tgα = (9/10) / (8/10)        Aqui se simplifican los 10, y nos queda

Nos quedan 3 funciones, y son las inversas de estas 3 funciones anteriores, y se determinan de la siguiente forma:

secα = 1 / cosα   (2)

cscα = 1 / senα   (3)

ctgα = 1 / tgα = cscα / secα  (4)

Aplicando estas 3 expresiones tenemos:

secα = 1 / (8/10)           Se aplica inversión de numerador y denominador

cscα = 1 / (9/10)

ctgα = 1 / (9/8)

Espero te sirva

Answer: x = - 4/9 [tex]\frac{x}{y}[/tex],y = - 7/6[tex]\frac{x}{y}[/tex]

Solution for: 3x -2y == 12 - 3x + 8y = - 6

Step-by-step explanation: