five years ago, Alicia was twice as old as her brother Alex. if Alicia is 13 years old, how old is Alex ? ​

Answer:

ab = 24

so ac is half, so

ac = 12

and the radius is 13,

draw a line from a to o

and its tall will be 13 because it is the radius and o is the center

now use Pythagoras rule

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

put numbers

[tex] {12}^{2} + {b}^{2} = {13}^{2} [/tex]

and solve for b

b = 5

and that is the side we want

Answer:

a) "impossible event"

b) "certain event"

c) Letter A.

Step-by-step explanation:

a) An event with probability 0 is said to be:

These events are called "impossible events" (but there are more complex cases where we can have probabilities 0, and the events are not necessarily impossible events)

b) An event with probability 1 is said to be

An event with a probability of 1 is an event that will happen, these events are called "certain event"

c) The probability for each outcome of an unbiased experiment of N different outcomes will be 1/N

for example, for a 6-side dice we have 6 outcomes, then the probability of each outcome is 1/6.

For the coin, we have 2 outcomes, then the probability of each outcome is 1/2

Probability of getting a head = 1/2 = 0.5

In the image, we can see that letter A is on the 0.5 value, then the correct answer here is A.

Answer:

Slope: 3.083333333

Step-by-step explanation:

Answer:

Step-by-step explanation:

for nr. 1

sum of angles in  a triangle=180

x=180-(81+84)=15

acute triangle

for nr.2

x=180-(24+36)=120

obtuse triangle

Answer:

[tex]a=4\ m/s^2[/tex]

Step-by-step explanation:

Given that,

The velocity of a car increases from 4 m/s at 2 sec to 32 m/s at 9 sec.

We need to find the car's average acceleration. It can be given by the change in velocity divided by the change in time. So,

[tex]a=\dfrac{v-u}{t_2-t_1}\\\\a=\dfrac{32-4}{9-2}\\\\a=4\ m/s^2[/tex]

So, the car's average acceleration is equal to [tex]4\ m/s^2[/tex].

Answer:

B: 15

Step-by-step explanation:

22 x 3 = 66, so you have to multiply 5 by 3,

5 x 3 = 15, and there is your answer!

Answer:

your answer is B

Step-by-step explanation:

If you multiply 5x3 you get 15, and if you multiply 22 is 3 you get 66.

5:22 is just a simplified version of 15:66

Answer:

y=-5x-2

Step-by-step explanation:

x goes over one y goes down 5 . and the y intercept is at (0,-2) so thats why there is a -2

Answer:

5 units

Step-by-step explanation:

Answer:

2x-60=180

Step-by-step explanation:

RQS = x-6

the two angles add to make 180 because they are on a straight line

so x + x-6 = 180

therfore, 2x+6 = 180

Answer:

3(n + 4) ≤ 10 is the equation and the solution is n ≤ -2/3 Decimal Form: -0.666667

hope this helps you

Step-by-step explanation:

Answer:

14x+3

Step-by-step explanation:

The given expression is as follows :

4x + 3(2x +1) + 4x

We need to find the equivalent expression for the above.

So,

4x + 6x +3 + 4x

Adding x terms,

14x+3

Hence, the correct equivalent expression is 14x+3.

Answer:

Approximate difference between 1 mile and 2 km in meters = 390.66meters

Step-by-step explanation:

I mile =1609.34meters

also 1000m = 1km

therefore 2km = 2 x 1000= 2000m

Approximate difference = 2000m - 1609.34m

=390.66 meters.

 Approximate difference between 1 mile and 2 km in meters = 390.66meters

Answer:

Step-by-step explanation:

Victoria collects:

Javier collects:

They get same amount:

Answer:

144

Step-by-step explanation:

to find the missing angle in side of the triangle we subtract 111 and 33 from 180

180-111-33=36

so the angle inside of the triangle equals 36 to find the one on the outside of the triangle we subtract 36 from 180

180-36 which equals 144 so 1=144

Answer: 63 mph

Step-by-step explanation:

Speed is determined by dividing the distance traveled by the time taken to travel it.

Speed = Distance of highway / Time spent on highway

= 157.5 / 2.5

= 63 miles per hour

Answer:

-9.32*10^- is -9.32*10^-5

Answer:

The length is 15 inches

Step-by-step explanation:

Using the formula [tex]P=2(l+w)[/tex], you will do this:

[tex]l=\frac{p}{2} - w = \frac{46}{2} - 8 = 15in[/tex]

Answer:

15

Step-by-step explanation:

25 - 2t

t = 5

25 - 2(5)

25 - 10

= 15

Answer:

15

Step-by-step explanation:

The equation with the value t substituted for 5 will look like 25 - (2)5

first you multiply 2 and 5 because pemdas.

The equation Is now 25-10

25-10 is 15

The answer is 15

Answer:

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((2-(-4))²+(1-(-3))²)

d=√(6²+4²)

d=√36+16

d=√52

d=7.21110255...

d=7.2

Step-by-step explanation:

d=7.2

The distance between the points on the coordinate plane is 7.2 units.

Coordinate geometry is the study of geometry using the coordinate points.  It provides a link between geometry and algebra through line graphs and curves.

For the given situation,

The points are (x1, y1) be (–4, –3) and (x2, y2) be (2, 1)

The formula for the distance between points,

[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

On substituting the above points,

⇒ [tex]d=\sqrt{(2-(-4))^{2}+(1-(-3))^{2} }[/tex]

⇒ [tex]d=\sqrt{6^{2}+4^{2} }[/tex]

⇒ [tex]d=\sqrt{52}[/tex]

⇒ [tex]d=7.211[/tex] ≈ [tex]7.2[/tex]

Hence we can conclude that the distance between the points on the coordinate plane is 7.2 units.

Learn more about coordinate geometry here

https://brainly.com/question/16410393

#SPJ2

Answer: 43,15

Step-by-step explanation:

i just had this problem lol sorry if i’m late

Answer:

a. 1

b. any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1

Step-by-step explanation:

Answer and explanation:

a) This value is equal to one because it is just the number divided by itself.

b) Since any number divided by itself is equal to 1, 6^3/6^3 also has to equal to one. This also means that when we bring the 6^3 up to the numerator, the equation 6^3-3, which simplifies into 6^0 also has to equal 1, because it is equivalent to being divided by itself.

Hope this helps!!

Answer:

54

Step-by-step explanation:

all you have to do is times 18 by 3

Answer:

$1.50

Step-by-step explanation:

okay so its asking whats the cost of one notebook so if you are gonna add you will get 10.30

Answer:

I think 5.

Step-by-step explanation:

You'd do this backwards.

51 ÷ 4 = 12.75

12.75 - 7 = 5.75.

You could either round that to 6 or keep it at 5.

Answer:

I believe it is 5 or 6. the answer I got was 5.75 so I am leaning towards 6 but I would let someone else answer.

Step-by-step explanation:

ok so we have 51 so then you would divide by 4 and subtract 7.

Answer:

yepp

Step-by-step explanation:

okkkkkkkkkkkkkkk

Answer:

A)

Decay

B)

Initial value is 5.

C)

The decay factor is 0.75.

D)

75%

Step-by-step explanation:

An exponential function is given by:

[tex]f(x)=a(r)^x[/tex]

Where a is the initial value and r is the rate.

We have the function:

[tex]y=5(1/4)^x[/tex]

So, a = 5 and r = 1/4.

A)

Remember the guidelines:

Our rate is 1/4 or 0.25.

It is less than 1, so our function is exponential decay.

B)

The initial value is the value in front of our rate.

So, our initial value in this case is 5.

C)

The decay factor will be 1 - r, where r is our rate.

Since our rate is 0.25, our decay factor is 1 - 0.25 = 0.75.

So, we are decaying by a factor of 0.75.

D)

To convert a decimal to a percent, we move the decimal dot two places to the rght and add a percent sign.

So, 0.75 will be 75.0 % or smply 75%.

It is a 75% decay.