The running trail in the local park is 2.826 miles long. If the park board were planning to extend the trail by 1.46 miles, what would the new length of the running trail be?
A.
4.093
B.
4.286
C.
4.682
D.
5.216
E.
5.443

r:-

[tex]\\ \rm\hookrightarrow r+60+50=180[/tex](Supplementary)

[tex]\\ \rm\hookrightarrow r+110=180[/tex]

[tex]\\ \rm\hookrightarrow r=180-110[/tex]

[tex]\\ \rm\hookrightarrow r=70[/tex]

[tex]\\ \rm\hookrightarrow p=50(Opposite\: angles)[/tex]

q:-

[tex]\\ \rm\hookrightarrow q=70+60(Opposite \:angles)[/tex]

[tex]\\ \rm\hookrightarrow q=130[/tex]

Answer:

[tex]{ \sf{60 \degree + r + 50\degree = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{r + 110\degree = 180\degree}} \\ { \underline{ \sf{r = 70\degree}}}[/tex]

[tex]{ \sf{q + 50\degree = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{q = 180\degree - 50\degree}} \\ { \underline{ \sf{q = 130\degree}}}[/tex]

[tex]{ \sf{p + q = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{p + 130\degree = 180\degree}} \\ { \sf{ \underline{p = 50\degree}}}[/tex]

or:

[tex]{ \underline{ \sf{p = 50\degree \: \{alternate \: angles \}}}}[/tex]

Answer:

have a great day

god is great

Ansienidq

scsunacu

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

the middle number to find

===========================================================

Explanation:

Picking any two negative numbers, then adding them, will result in some other negative number. This is why the set of negative numbers is closed under addition.

Examples:

-2 + (-3) = -5

-10 + (-14) = -24

-7 + (-9) = -16

This is because when you add two negatives, you're adding their positive counterparts. Going to the first example above, we would say 2+3 = 5 and then just make everything negative. There's no way to add two negative numbers, and get a positive result (and we can't get 0 either).

You can think of it in terms of money and debt. The -2 represents being 2 dollars in debt. Then adding on 3 more dollars of debt leads ultimately to 5 dollars overall in debt.

Answer:

3420 m

Step-by-step explanation:

when we say distance, we mean ground distance, right ? not air distance.

so, essentially, the angle from the straight line the plane could be going at that moment down to the touch down point on the landing strip is 58 degrees.

that means the angle of elevation (between the line to the touch down point and the height "line" of the airplane) is 90-58 = 32 degrees

the height of the airplane (= distance from ground) is 5473 m.

now, we also know that the angle between height and the ground connection to the touch down point is 90 degrees (as height is always meshed straight up/down).

so, we know even the third angle (at the touch down point between ground and the line to the airplane)

= 180 - 90 - 32 = 58 degrees.

if we imagine now a circle being drawn with the touch down point being center and going through the right- angle corner point on the ground right under the airplane, we see that the ground distance from that corner to the landing strip is the radius of that circle.

therefore, the height is tan() × r of the angle at the touch down point.

5473 = tan(58) × r

r = 5473 / tan(58) = 3420 m

Answer:

20 liters of gasoline

Step-by-step explanation:

Create a proportion where x is the amount of gasoline needed to travel 400 km:

[tex]\frac{8}{160}[/tex] = [tex]\frac{x}{400}[/tex]

Cross multiply and solve for x:

160x = 3200

x = 20

So, the car will use 20 liters of gasoline to travel 400 km.

Answer:

The car will use 20 liters of gas

Step-by-step explanation:

160KM/8L = 20KM per liter

400/20 = 20

Answer:

m ZC = 71 degrees. Option C.

Step-by-step explanation:

Triangles always measure a total of 180 degrees.

47 + 62 + c = 180

109 + c = 180

c = 71

Answer:

71°

Step-by-step explanation:

The total angles in a triangle should equal 180°

a + b + c = 180

47 + 62 + c = 180

109 + c = 180

180 - 109 = 71

c = 71°

Hope this helped!

Answer:

I think it should be 360 (C)

Answer:

c)360

Step-by-step explanation:

x−0.8x=72

0.2x=72

x= 72/0.2

answer=360

​

Answer:

Point B :(6, 7)

Step-by-step explanation:

Point B:(x, y)

1= - 4+x/2

2= - 4+x

x=6

7.5= 8+y/2

15= 8+y

y=7

Answer:

30%

Step-by-step explanation:

14+ 18+ 28 = 60

18/60 × 100 = 30%

Answer:

[tex] \frac{18}{60} = \frac{3}{10} = 30\%[/tex]

Step-by-step explanation:

Total token sample = 14 + 18 + 28 = 60

Frequency of blue:

[tex] = \frac{18}{60} \: [/tex]

[tex] = \frac{18}{60} \times 100\%[/tex]

[tex] = 30\%[/tex]

Answer:

13

Step-by-step explanation:

12×7 = 84,

so the scale ratio is 1/7

now 91×1/7

= 91/7

= 13

hope it will help and plz ignore that circles .

Answer:

7

Step-by-step explanation:

Using the commutative property of addition

a+b = b+a

6+7=7+6

Answer:

x + 3 = -6  or  x + 3 = 6

Step-by-step explanation:

-5/9 is rational, and its none of the other choices (integer, whole, irrational). So this value goes in the "rational" rectangle, and outside any other region.

The number [tex]-\sqrt{100}[/tex] turns into -10 after simplification. We see that this number is both rational and an integer. The best place for it is inside the "integer" circle. Note how this circle is entirely in the "rational" rectangle. We do not place it in the "whole number" circle because whole numbers are not negative.

The number [tex]\pi[/tex] is irrational since its decimal expansion goes on forever without any known pattern.

The number [tex]\sqrt{25}[/tex] simplifies to 5. This goes in the "whole number" circle.

Check out the diagram below.

Answer:

a.8x^2+18x+9

8x^2+(9+2)x+9

8x^2+2x+9x+9

2x(4x+1)+9(x+1)

(2X+9)+(4x+1)+(x+1)

Step-by-step explanation:

25 students like mango

35 students like Banana

37 students like Guava

Answer:180

Step-by-step explanation:

.

Answer:

2×9(9+1)

18(10)

.180.

Answer:

Given a cube with the side of 7 in

Base area:

Perimeter:

Height:

Lateral area:

Surface area:

Volume:

[tex]\\ \sf\longmapsto a^2=7^2=49in^2[/tex]

[tex]\\ \sf\longmapsto 4a=4(7)=28in[/tex]

As its a cube height=side=7in

[tex]\\ \sf\longmapsto 4a^2=4(7^2)=4(49)=196in^2[/tex]

[tex]\\ \sf\longmapsto 6a^2=6(7^2)=6(49)=294in^2[/tex]

[tex]\\ \sf\longmapsto a^3=7^3=343in^3[/tex]

Answer:

Option 1 is the correct equation.

Step-by-step explanation:

x = price of the student ticket.

One half price of x + $8 = adult ticket price ($15)

Answer:

The correct answer is A

Because taking the student ticket to be x

one half of x + 8 =15

Step-by-step explanation:

the length of AB = √10²+7²=√149

so,

csc A = AB/BC = √149/ 7

sec A = AB/AC = √149/ 10

cot A = AC/BC = 10/7

Answer:

0.16 recurring

hope this helps!

Answer:

1\6

Step-by-step explanation:

[tex]\frac{-2}{3}+\frac{5}{6}=\frac{-4+5}{6}=\frac{1}{6}[/tex]

Answer:

∠1 = 5 degrees

∠2 = 85 degrees

Step-by-step explanation:

if we add ∠1 and ∠2 that will be 90 degrees (as it is straight angle and its already given in the picture)

( x - 12) + 5x = 90

6x -12 = 90

6x = 90 + 12

6x = 102

x = 102/6

x = 17

Put 17 in both the angles instead of x

∠1 = ( x-12)

    = ( 17 - 12)

    = 5

∠2 = 5x

     = 5 (17)

      = 85

now you can even Cross-check

5 + 85

= 90 degrees

Cross-checked

Answer:

A. 2/5

B.2/5

C. 3/5

D. 5/5=1

Answer:

x=32

Step-by-step explanation:

27=x-5

+5   +5

32=x

Answer:

15

Step-by-step explanation:

you can add the absolute value of -7 with 8 so it's 15

The length of AD on the number line is,

⇒ AD = 15

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

We have to given that;

Number line is shown in figure.

And, The point A is at - 7 on number line.

The point D is at 8 on number line.

Hence, We get;

The length of AD on the number line is,

⇒ AD = | - 7 - 8 |

⇒ AD = | - 15 |

⇒ AD = 15

Therefore, The length of AD on the number line is,

⇒ AD = 15 units

Learn more about the number line visit:

brainly.com/question/28223520

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