Explain why a systems engineer would work for the Federal Aviation Administration and describe his or her role.

Answer:

Step-by-step explanation:

ΔBDS ~ ΔBZD

Use ratios of similar triangles:

DZ = √(52²-20²) = 48

Correct choice is B

Answer:

x=5

From the dashed lines on the two sides of this triangle, we can see that these two sides are congruent, or equal, to each other.

In geometry, if a triangle has two congruent sides, then we can call it a isosceles triangle.

In an isosceles triangle, the corners  opposite the congruent  sides  are also congruent, meaning, that the angle measures of this triangle are: 88, 9x+1, and 9x+1.

We also know that angles in a triangle add up to 180 degrees.

So, we have: 88+(9x+1)+(9x+1) = 180

Simplifying: 18x + 2 = 92

Solving: 18x = 90, so x=5

Hope this helps!

Answer:

1) both lights will blink at the same time every 20 seconds

2)Both lights will blink at the same time every 36 seconds

3) How to determine when 2 lights will blink together is that you must find the least common factor (LCM) of both numbers and when both hit the same number then that is when both lights blink at the same time.

Step-by-step explanation:

For example for number 1 we have 4 and 5 seconds when the lights blink

4: 4, 8, 12, 16, 20...

5: 5, 10, 15, 20...

we see that the LCM factor is 20 and that is when both lights will hit at the same time.

Answer:

v = 6

Step-by-step explanation:

Given

3(3v-5) = 39

So,

3v - 5 = 39 / 3

=> 3v - 5 = 13

=> 3v = 13 + 5

=> 3v = 18

=> v = 18 / 3

=> v = 6

#HopeItHelps

Answer:

V=6

Step-by-step explanation:

Hope this helped! :)

Simplifying

3(3v + -5) = 39

Reorder the terms:

3(-5 + 3v) = 39

(-5 * 3 + 3v * 3) = 39

(-15 + 9v) = 39

Solving

-15 + 9v = 39

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 9v = 39 + 15

Combine like terms: -15 + 15 = 0

0 + 9v = 39 + 15

9v = 39 + 15

Combine like terms: 39 + 15 = 54

9v = 54

Divide each side by '9'.

v = 6

Simplifying

v = 6

Answer:

The area of the circular sector is approximately 39.269 square meters.

Step-by-step explanation:

A circular sector is a segment of a circle, whose area ([tex]A[/tex]), measured in square meters, is determined by this formula:

[tex]A = \frac{\theta}{2} \cdot r^{2}[/tex] (1)

Where:

[tex]\theta[/tex] - Central angle, measured in radians.

[tex]r[/tex] - Radius, measured in meters.

If we know that [tex]\theta = \frac{\pi}{4}[/tex] and [tex]r = 10\,m[/tex], then the area of the circular sector is:

[tex]A = \frac{\pi}{8} \cdot (10\,m)^{2}[/tex]

[tex]A \approx 39.269\,m^{2}[/tex]

The area of the circular sector is approximately 39.269 square meters.

Answer:

39.269

Step-by-step explanation:

Answer:

Step-by-step explanation:

its B

Answer:

b

Step-by-step explanation:

3(9x + 14) = 3 * 9x + 3 * 14 = 27x + 42

Answer:

Step-by-step explanation:

Dad: 42

Mom: 38

Sister: 15

Tito: 13

Twin 1: 6

Twin 2: 6

(15+13)/2 = 28/2= 14 years old

Answer:

Step-by-step explanation:

The ASA  (Angle-Side-Angle) states that: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

SSS, SAS, ASA, AAS

Answer:

2 hr

Step-by-step explanation:

Answer:

(1,-3) 1 is x and 3 is y because the two arrows intersept in that coordinate

Answer:

x=3 and y=2

Step-by-step explanation:

9x - 4y= 19

4x + 4y= 20

add both equations;

13x = 39

x= 3

using 4x + 4y= 20;

4(3) +4y=20

12+4y=20

4y= 20-12=8

y=8/4=2

Answer:

How many bottles of juice should they get, so that each child gets the same ... E. David used exactly 8 cups of flour to make 6 loaves of bread. ... 1 At a pizza party, 5 people will equally share 3 pizzas. ... 4 pineapple fruitcakes for a bake sale to raise money for the school band. ... containers left with ½ cup each of hot fudge.

Step-by-step explanation:

Answer:

la respuesta es (11.615)

Answer:

Wendell only has $12 in nickels and dimes

Let Wendell have x dimes

If Wendell has 3 times as many nickels as dimes, how many dimes does he have?

Number of nickels = 3x

dime 10 c

nickel 5c

10x+5*3x = 1200 ( $12=1200 c)

25x = 1200

x= 48 number of dimes

Hai!

Your answer should be A.

So so sorry if I am Wrong.

Have a good day! :3

Answer:

2 girls

Step-by-step explanation:

24 boys and 16 girls gives a ratio of 3 boys for every 2 girls

Answer:

2 Girls

Step-by-step explanation:

24 boys to 16 girls

Divide both sides by eight

24 ÷ 8 = 3 and 16 ÷ 8 = 2

3 Boys to 2 Girls

I hope this helps

Answer:

3(x - 10)

Step-by-step explanation:

3x - 30 = 3(x - 10)

Hii!

__________________________________________________________

Answer:

3(x-10)

Step-by-step explanation:

Note that both terms, 3x and -30, have a 3 in common. This is called the greatest common factor, or g.c.f.

The g.c.f. of 3x and -30 is 3. So we divide both 3x and -30 by 3, and obtain

x-10

Put parentheses around x-10

(x-10)

Next, put 3 outside the parentheses

3(x-10)

--

Hope that this helped! Best wishes.

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Answer:

Simplified is 14V+653

Step-by-step explanation:

Answer:

The answer is 14V+653

Step-by-step explanation:

Answer:

A producer is an animal that produces its own food. An example of a producer is a plant like a tree. They take the suns energy and convert it to chemical energy which benefits them.

Step-by-step explanation:

Answer:

-4x-6x=-20=

x=2

-3(2x-3)=33=

x=-4

4x+3x+2x=180

x=20

Step-by-step explanation:

-4x-6x=-20                                

-4+(-6)=-10x

-10x=20 (divide both by 10)

x=-2 (divide by -1 to get positive)

x=2

-3(2x-3)=33

-6x+9=33

     -9 .  -9

-6x=24 (divide both by -6)

x=-4 (divide by -1 to make positive)

4x+3x+2x=180

(combine like terms)

9x=180 (divide both sides by 9)

x=20

Answer:

26, 64

Step-by-step explanation:

we have :

angle 90°

acute angle x

acute angle 2(x+6)

The sum of the angles in a triangle has to be 180° so

90 +x+2(x+6) = 180

90 +x +2x+12 = 180

3x = 180 -90-12

x= 78/3 = 26°

the other acute angle is 2(26+6) = 64°

Answer:

26, 64

Step-by-step explanation:

We can name the first acute angle x and the second acute angle y. We know that x=2(y+6) but we also need another equation to solve the problem. Since we know that the sum of angles in a triangle is equal to 180 degrees and this is a right triangle, the two acute angles sum will be equal to 90 degrees. That would be our second equation, x+y=90. Now we can just substitute the first equation into the second one: 2(y+6)+y=90 -> 2y+12+y=90 ->3y=78 -> y=26

Now we can substitute y into one of the original equations and solve for x: x+26=90 -> x=64

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

-(10) will still be -10, youre just multiplying the sign by the number

Answer:

..Step-by-step explanation:

Answer:9

Step-by-step explanation:

3/4 times 12=3(12/4)=3x3=9

Another way:

3/4=0.75

0.75x12=9

Step-by-step explanation:

9 that's your answer your welcome

Answer: x = 8

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

10= -1/4x+12

move the 12 to the other side

10-12= -1/4x

-2= -1/4x

divide -1/4 by both sides

8=x

Answer:

35

................................................

Answer:

21 & 23

Step-by-step explanation:

44 ÷ 2 = 22

The two numbers are going to be close to 22.

21 + 23 = 44

32 - 21 = 2

Answer:

You can try to write two equation from the question

Call x a number and y the other.

The sum of them is 44: x + y = 44

The difference (substract) is 2: x - y = 2

System:

x+y=44

x-y = 2

You can just sum both equations, as the y disappear:

2x = 46

x =46/ 2 = 23

We replace in the equation:

23 - y = 2

y = 21

And we know the numbers are 21 and 23