what is circular test track

Answer:

Choice A. The shading in the Venn Diagram shown in the first attachment represents the set [tex](K \cup M) \; \cap \; (K \cup L)[/tex].

Step-by-step explanation:

Let [tex]A[/tex], [tex]B[/tex], and [tex]C[/tex] be sets. By the distributive law of sets, [tex]A \cup (B \cap C)[/tex] and [tex](A \cup B) \cap (A \cup C)[/tex] refer to the same set.

Apply this property to simplify the given expression:

[tex]\begin{aligned}(K \cup M) \; \cap\; (K \cap L) = K\cup (M \cap L)\end{aligned}[/tex]

[tex]M \cap L[/tex] refers to the intersection between the two lower circles. The union of that intersection with set [tex]K[/tex] (the upper circle) would be the shaded region seen in choice A.

Answer:

The truck can not safely pass under the bridge

Step-by-step explanation:

The maximum height in inches is 149in.

12 feet times 12 inches = 144 in

144 +5 = 149in

If the truck is 162 inches than it would not be safe for it to pass under the bridge.

I hope this helps you!

Answer:

y = 6

Step-by-step explanation:

-3x + 9y = 18

-3(6) +6y = 18

-18 +6y = 18

Add 18 to each side

-18+18 +6y =18+18

6y = 36

Divide each side by 6

6y/6 = 36/6

y = 6

10. tan(30) = l / 6√3

l = tan(30) x 6√3

l = 6

cos(30) = 6√3 / y

y =  6√3/cos(30)

y = 12

11. tan(30) = c/30

c = 30 x tan(30)

c = 10√3

cos(30) = 27/w

w = 27/cos(30)

w = 18√3

12.

sin(60) = 36/y

y = 36/sin(60)

y = 24√3

tan(60) = 36/x

x = 36/tan(60)

x = 12√3

Answer:

  10. (l, y) = (6, 12)

  11. (c, w) = (9√3, 18√3)

  12. (x, y) = (12√3, 24√3)

Step-by-step explanation:

Side ratios, shortest to longest, in a 30°-60°-90° triangle are ...

  1 : √3 : 2

__

10. l : 6√3 : y = 1 : √3 : 2

multiply by 6

  = 6 : 6√3 : 12

  l = 6, y = 12

__

11. c : 27 : w = 1 : √3 : 2

multiply by 27/√3 = 9√3

  = 9√3 : 27 : 18√3

  c = 9√3, w = 18√3

__

12. x : 36 : y = 1 : √3 : 2

multiply by 36/√3 = 12√3

  = 12√3 : 36 : 24√3

  x = 12√3, y = 24√3

__

This is easier when the triangle is drawn to clearly differentiate the lengths of the sides. The long leg is opposite the 60° angle; the short leg is opposite the 30° angle.

Answer:

x < 6.5

y < -1.5

Step-by-step explanation:

y > x - 8

Therefore x < y + 8

y < 5 - x

Therefore x < 5 - y

2x < 13

x < 6.5

6.5 < 5 - y

y < -1.5

Answer:

true

Step-by-step explanation:

11a - 2a

Factor out a

a(11-2)

a *9

9a

Answer:

9a is equivalent to 11a - 2a because 11a-2a=9a

Step-by-step explanation:

Answer:

∠AEX = 70°

Step-by-step explanation:

From the diagram

AX ≅ BX

BY ≅ CY

AZ ≅ CZ

∠XAE = 20°

A circumcenter has equal distant from vertices of the triangle since radii of circles are congruent.

For the given figure, the midpoints is at Z, X, Y

And the perpendiculars also occur at Z, X, Y

∠Z = 90°

∠X = 90°

∠Y = 90°

∠XAE ∠AXE +∠AEX= 180° (sum of angles in a triangle)

∠AXE = ∠X = 90°

20° + 90° +∠AEX= 180°

110° +∠AEX= 180°

∠AEX = 180°-110°

∠AEX = 70°

Answer:

hope this helps you

Answer: 192

Step-by-step explanation:

160 + (20% × 160) =

160 + 20% × 160 =

(1 + 20%) × 160 =

(100% + 20%) × 160 =

120% × 160 =

120 ÷ 100 × 160 =

120 × 160 ÷ 100 =

19,200 ÷ 100 =

Welcomeeee

Answer:

x= -3

Step-by-step explanation:

12x-8x = -20+8

4x = -12

x= -12/4

x = -3

Steps:

Step 1: Subtract 8x from both sides.

12x−8−8x=8x−20−8x

4x−8=−20

Step 2: Add 8 to both sides.

4x−8+8=−20+8

4x=−12

Step 3: Divide both sides by 4.

4x/4   =    −12/4

Answer: x=−3

Please mark Brainliest

Hope this helps.

Answer:

a) 0

b) 4.5

c) 3

d) 6

Step-by-step explanation:

Formula: 3x + 4y = 12

The questions contains the values of x. So here's an example of:

d) x = -4, y = ?

   Using the formula:   3(-4) + 4y = 12

                                     -12 + 4y = 12

                                      4y = 24

                                       y = 6

Do the same for the others!

Q:    Which of the following equations is equivalent to S = pi r squared h?

A:     B  (CC ALGEBRA 2A, ED20)

The equations is equivalent to S = pi r squared h would be; B. h=S/πr²

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

To know the equation equivalent to πr²h, we will make h the subject of the formula from the one given in equation.

S = πr²h

To get h, we needd to divide both sides by the coefficient of h (i.e πr²)

S/πr² = πr²h/πr²

S/πr² = h

h = S/πr²

This equation shows that h = S/πr² is equivalent to S = πr²h

Learn more about equations here;

https://brainly.com/question/25180086

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Answer:

2184 ways

Step-by-step explanation:

We need to choose exactly one song from each CD, so the number of possible ways to choose a song from a CD is the number of songs in that CD.

The first song is from a CD with 12 songs, so there are 12 possibilities of choosing a song.

The second song is from a CD with 14 songs, so there are 14 possibilities of choosing a song.

The third song is from a CD with 13 songs, so there are 13 possibilities of choosing a song.

Now, to find the number of possible ways to play these songs, we just need to multiply the number of possibilities for each song:

Number of possible ways = 12 * 14 * 13 = 2184 ways

Answer:

The value of a is 101°, b is 79°, c is 83° and d is 97°

Explanation:

This is for contrapositive negating the converse of the conditional.

Hence,option D is correct.

Hope it helps

Good luck on your assignment

Answer:

42

Step-by-step explanation:

49-7=42

Answer:

5 p.m.

Step-by-step explanation:

Newton's law of cooling-

[tex]T(t)=t_a+(t_0-t_a)e^{-kt}[/tex]

where,

[tex]t_0[/tex] = the initial temp. = 98.6 F (human body temp.)

k = 0.1947,

T(t) = 66 F,

[tex]t_a[/tex] = 55 F,

Putting the values,

[tex]\Rightarrow 66=55+(98.6-55)e^{-0.1947\cdot t}\\\\\Rightarrow 66=55+(43.6)e^{-0.1947\cdot t}\\\Rightarrow (43.6)e^{-0.1947\cdot t}=11\\\Rightarrow e^{-0.1947\cdot t}=\dfrac{11}{43.6}=0.2523\Rightarrow \ln e^{-0.1947\cdot t}=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times \ln e=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times 1=\ln 0.2523\\\Rightarrow t=\dfrac{\ln 0.2523}{-0.1947}\\\Rightarrow t=7\ h[/tex]

Therefore, the time of death was 7 hours before midnight i.e at 5 pm.

Answer:

6/13

Step-by-step explanation:

There are 13 marbles total in the bag.

The chance of picking a green marble is 6/13. This fraction cannot be simplified.

Answer:

A) y = 1/3x + 10/3

Step-by-step explanation:

Answer:

when both bottom numbers on a fraction are the same at the lowest form

Step-by-step explanation:

example: 2/4 + 6/8 the common denomenator is 8 as both numbers go into it and you only have to times by 2 so answer would be 10/8 which is also 1 2/8

Answer:

x-7>0

Straight answer: x-7

Step-by-step explanation:

Assuming that the timber is X cm long and 7cm was cut off, there remaining amount is x - 7cm. In order for 7cm to be cut off, the timber must have been > 7cm long => x > 7 => x - 7 > 0

Answer:

a) 30

b) 144

c) 4

d) 900

Step-by-step explanation:

a) 6 + 24 = 30

b) 6 * 24 = 144

c) 24 ÷ 6 = 4

d) [tex]30^2=900[/tex]

Answer:

a) 30

b) 144

c) 4

d) 900

Step-by-step explanation:

a) 24+6

b) 6(24)

c) 24/6

d) (24+6)^2

Answer:

x<7, The third option

Step-by-step explanation:

-1.1x+6.4>-1.3

We are trying to isolate x so we can move all the constant to one side.

-1.1x>-1.3-6.4

-1.1x>-7.7

Lastly, we need to divide both sides by -1.1.

-1.1x>-7.7/-1.1

Note that if you multiply or divide both sides of an inequality by a negative, then you need to flip the sign.

x<7

Hope this helps :)

Answer:

I believe it is the third option. It is really hard to explain. Lots of workout and I don't have enough time for it nut it is the third option...

The answer is A.) 21x/^3y

Here is proof

Answer:

2720 oranges were sold

Answer:

The greatest common factor is 5.

15x+10=5(3x+2)

Answer:

x = 10

Step-by-step explanation:

The base angles of an isosceles triangle measure the same

The three angles of the triangle and 50 , 50 and <2

They sum to 180 degrees

50 +50 + 8x = 180

Combine like terms

100+8x = 180

Subtract 100 from each side

100-100 +8x = 180 - 100

8x= 80

Divide by 8

8x/8 = 80/8

x = 10

Answer:

x =10

Step-by-step explanation:

this is isosceles Δ so it has base ∠ that are =

sum of angles in Δ is 180 so 180 -50-50 = 80

m<2= 80

80= 8x

x =10

Answer:

Fiona gets £ 174

Step-by-step explanation:

Ths problem has three unknowns: the amounts each person gets. So let's identify each amount with a letter to write them in mathematical equation form:

Amount Sushil gets is : "x"

Amount Fiona gets is : "y"

Amount Pip gets is : "z"

Now we write three equations based on the information we have:

1) the addition of all these amounts should equal the 580 total:

x + y + z = 580

2) Sushil (x) gets twice as much as Fiona (y):

x = 2 y

3) Fiona (y) gets three times as much as Pip (z):

y = 3 z

So we can write the first equation in terms of "z" only, by using the appropriate substitutions in the intermediate stes:

Replace every instance of "y" with "3 z":

Equation 2 can give then "x" in terms of "z" as well:

x = 2 y = 2 (3 z) = 6 z

Then Eq 1 becomes:

6 z + 3 z + z = 580

10 z = 580

and therefore:

z = £ 58

Now Fiona's amount (y) is "3 times z", therefore:

y = 3 * 58 = £ 174

Answer:

m<1=120

Step-by-step explanation:

A linear pair adds up to 180 degrees.

So <1+<2=180

Let <2=X, that would make <1=2X because <1 is 2 times more.

So substitute that into the equation.

2x+x=180.

Combine like terms and get 3x=180

Divide both sides by 3 and get x=60.

Substitute that into <1 and get <1=120