Dragonflies today have a wingspan of 6 inches. The ancestors of the dragonfly had a wingpan 5 times greater. How long was the wingspan of the dragonfly's ancestors?

Answer:

21x square units

Step-by-step explanation:

length times width = area

3 * 7x = 21x

Answer:

If they scored 8 touch downs then the answer would be 48 points.

Explanation: 8x6=48

Answer:

<A= 60 degrees

Step-by-step explanation:

Since cosA=0.5, we can take the inverse cos of 0.5 to get 60 degrees.

Hope this helped!

Answer:

V

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Answer:

mode is 0 shshshshsbsbsbbsnsnsnsjsnsns

Answer:

Mode 34,700

Median 35,750

Mean 35,150

Answer:

B; 2.5x + 45 = 62.5

Step-by-step explanation:

Since the current height is 62.5, and the starting height is 45, then all you have to do is subtract 45 from 62.5, then divide that by 2.5 to get your answer, which should be 7 years.

Hopefully this helps- let me know if you have any questions!

Answer:

48

Step-by-step explanation:

Mode- the most frequently  occuring observation ... here in this case it will be 48

I hope im right!!

Answer:

Yes

Step-by-step explanation:

Trust me bro.

Answer:

Step-by-step explanation:

sin58=h/20

h=20sin58

h=17.0 ft

Answer:

7

Step-by-step explanation:

450-100=350

350/50=7

7 months

Answer:

I cant see it....

Step-by-step explanation:

I cant see it....

Answer:

64hjx^2

Step-by-step explanation:

I hope this helps :)

Let me know if you need an explanation or the steps

i send u a picture of how i solve it. i hope this can help u

Answer:

Division

Step-by-step explanation:

here's your process

=>. it is your equation 17b = 54

=> now divide 17 on both side

=> then we get 17b/17 = 54/17

=> hence , we get b = 54/17

=>now b is isolated by the method of division

hope it helps

107/6

Step-by-step explanation:

3x+1+3x=108

6x=108-1

6x=107

x=107/6

Answer:

AB ≈ 4.41

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos25° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{4}{AB}[/tex] ( multiply both sides by AB )

AB × cos25° = 4 ( divide both sides by cos25° )

AB = [tex]\frac{4}{cos25}[/tex] ≈ 4.41 ( to the nearest hundredth )

Answer:

The distance is approximately 12.6.

Step-by-step explanation:

Moving from (-8, 3) to (4, 7), we see x (the horizontal dimension) increasing by 12 and y (the vertical dimension) increasing by 4.  Think of 12 and 4 as the legs of a right triangle whose hypotenuse represents the distance between these two given points.

This distance, from the Pythagorean Theorem, is

d = √(12^2 + 4^2) = √(144 + 16) = √160 = √16√10.

The desired distance is approximately 12.6.

Answer:    V ( t ) = 1 + 1 4 e − 0 . 1 0 4 t 1 5 , 0 0 0 ​   ​  

The required value for the logistic function describing the scenario of the water tank being filled at a rate of 10.4% per minute.

The logistic function has the form:

[tex]f(x) = L / (1 + a \times e^{(-kx)})[/tex]

Where:

f(x) is the volume of the tank at time x

L is the maximum volume the tank can hold

a is a constant that determines the growth rate of the function

k is a constant that determines the rate at which the growth slows down as the tank approaches the maximum volume

In this case, the maximum volume of the tank is 15,000 gallons, so L = 15,000.

The pump fills the tank at a rate of 10.4% per minute, so k = 0.104.

To find the value of a, we need to solve the logistic equation for a given the values of f(x), L, and k.

We can rearrange the logistic equation to solve for a:

[tex]a = (1 / f(x)) - (1 / L) \times e^{(kx)}[/tex]

Substituting the known values into this equation, we get:

[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(0.104x)}[/tex]

This equation can be used to solve for the value of a for any given value of x (time). For example, if we want to know the value of an after 10 minutes, we can substitute x = 10 into the equation to get:

[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(1.04)}[/tex]

This gives us the value of a for the logistic function that describes the scenario of the water tank being filled at a rate of 10.4% per minute.

To learn more about logistic function click here:

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Answer:

a=-b

Step-by-step explanation:

Or,

b=-a

Answer:

6(x+4)

Step-by-step explanation:

The GCF is 6 thus factor the expression

The given expression 6x + 24 can be factored using the GCF as 6(x + 4).

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The expression is given in the question as:

6x + 24

The expression 6x + 24 can be factored using the greatest common factor (GCF) as follows:

⇒ 6x + 24 = (6x + 24) / 6 × 6

The GCF of 6x + 24 is 6, so we can divide both terms by 6 to get:

⇒ 6x + 24 = (x + 4) × 6

We can then factor out the common factor of 6 to get:

⇒ 6x + 24 = 6(x + 4)

Thus, the given expression 6x + 24 can be factored using the GCF as 6(x + 4).

Learn more about the Factorization here:

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Answer:

306

Step-by-step explanation:

v = 1/3bh

2×(18×11 + 18×9 + 11×9) / 3 = 918/3

= 306

hope this helps, mark brainliest if it did luv gl !

Answer:

27.63

Step-by-step explanation:

r = 4.4

Circumference of a Circle formula:

C = 2πr

C = 2(3.14)(4.4)

C = 6.28(4.4)

C = 27.632

Rounded to the nearest hundredth:

27.63

Answer:

C= 27.63 inches

Step-by-step explanation:

Use the circumference formula C = 2πr.

Subsitute what you are given into the equation and solve.

C = 2πr

C= 2*(3.14)*(4.4inches)

C= 27.63 inches

Answer:

y=(-1/2)x-8

Step-by-step explanation:

Answer:

y=-1/2x - 8

Use desmos to help with these problems

Answer:

The radius of the circle is 3.5 inches.

Step-by-step explanation:

The radius is half the diameter:R= 1/2 d

Substitute the value of d (7 inches) in the formula to find r:

r= 1/2 x 7 in

r= 3.5 in

Answer:

3.5 inches should be the answer.