20. Jeremy likes to ride his bike to his friend Khaleel's

house. If he takes the road, he rides 3.6 miles east

and then 1.5 miles north. There is also a path that

goes through the woods directly from Jeremy's

house to Khaleel's house.

Khaleel's

house

Path

Road

Jeremy's

house

Road

Part A. To the nearest degree, what is the angle

shown between the road and the path?

Part B. To the nearest tenth of a mile, how much

farther is it to go by the road than to go by the

path?

Answer:

[tex]\frac{1}{8}[/tex] or [tex]\frac{9}{78}[/tex]

(see explanation)

Step-by-step explanation:

This problem is asking about compound probability, what is the probability of this even happening three times in a row.

Since there are 20 boy's names and 20 girl's names in the hat, one can say that half of the names in the hat. Assume that after drawing it from the hat, the name is put back into the hat. Therefore, on each night, there is a half-chance of the event happening. To find the probability of the event, one must multiply ([tex]\frac{1}{2}[/tex]) by itself (3) times,

[tex](\frac{1}{2})(\frac{1}{2})(\frac{1}{2})\\=\frac{1}{8}[/tex]

In this case, assume that after each drawing the name is not replaced into the hat. This means that after every draw, one must subtract (1) from both the numerator and denominator of the fraction when the fraction is in the un-simplified form.

[tex](\frac{1}{2})(\frac{19}{39})(\frac{18}{38})[/tex]

Simplify,

[tex](\frac{1}{2})(\frac{19}{39})(\frac{9}{19})[/tex]

[tex]\frac{9}{78}[/tex]

Answer:

4f^2-11

Step-by-step explanation:

Answer:

Option C (2.5, 1) is the right alternative.

Step-by-step explanation:

The given points are:

A = (-1, 5) = (x₁, y₁)

B = (6, -3) = (x₂, y₂)

Now,

The midpoint on X-axis is:

= [tex]\frac{x_1+x_2}{2}[/tex]

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

= [tex]\frac{5}{2}[/tex]

= [tex]2.5[/tex]

The midpoint on Y-axis is:

= [tex]\frac{y_1+y_2}{2}[/tex]

= [tex]\frac{5+(-3)}{2}[/tex]

= [tex]\frac{5-3}{2}[/tex]

= [tex]\frac{2}{2}[/tex]

= [tex]1[/tex]

Thus the midpoint of AB is "2.5, 1".

Answer:

D.

Step-by-step explanation:

I calculated it logically

Answer:

no

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

[tex]48=4x+4[/tex] (angles opposite congruent sides in a triangle are congruent)

This gives that x = 11

Answer:

ok

Step-by-step explanation:

Answer: 87

Step-by-step explanation:

This will be solved using an arithmetic progression. The formula will be:

= a + (n - 1)d

where,

a = first term = 10

d = common difference = 7

n = 12

Therefore, 12 term will be:

= a + (n - 1)d

= 10 + (12 - 1) × 7

= 10 + (11 × 7)

= 10 + 77

= 87

Therefore, the number of stitches that are in the 12th row will be 87.

Answer:

176

Step-by-step explanation:

8+8+64+64+16+16

Answer:

C

Step-by-step explanation:

Answer:

1.5 feet

Step-by-step explanation:

V = base area x height

divide the two members by the base area

height = V/ base area

height = 13.5 / 9 = 1.5 feet

Answer:

B. f and g are reflections of each other about the y-axis.

Step-by-step explanation:

I calculated it logically

Answer:

I think the answer is forth one

Answer:

the future diary  

Step-by-step explanation:

I watched Future Diary on Hulu, its a really good anime, its more of a yandere type of anime, hope you enjoy it!

Answer:

Your answer is C

Step-by-step explanation:

Answer:

(-1, -4) is a solution

Step-by-step explanation:

3x + 3y ≤ -6

plug in point (-1, -4)

3(-1) + 3(-4) ≤ -6

-3 + -12 ≤ -6

-15 ≤ -6    true

 (-1, -4) is a solution

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It isn't clear what is supposed to go in the various blanks. We have elected to identify the corresponding congruent parts, and name the congruent triangles. The postulate supporting the conclusion is also shown.

In most cases, corresponding parts are marked congruent. The exception is the vertical angles in figure 22.

the answer is x=4 4(2×8)

Answer:

1/49

Step-by-step explanation:

There are 7 possible outcomes, so the probability that the spinner lands on 3 twice is (1/7) * (1/7) = 1/49

Answer:

It would take 2 hours for Isaac to earn $32

Step-by-step explanation:

16*2=32

Answer:

t = 45d

Step-by-step explanation:

Number of days = d

Number of minutes = t

Number of minutes per day = 45 minutes

Total number of minutes of practice after d number of days will be :

t = number of minutes per days * Number of days

t = 45 * d

t = 45d

Answer:

pretty sure the answer is electrons  so D

Step-by-step explanation:

Electrons are particles that surround the nucleus of an atom like a cloud

Answer and Step-by-step explanation:

The first step in solving for x is to square both sides.

8x = 4 + 2x

Now, subtract 2x from both sides.

6x = 4

Now, divide each side by 6.

x = [tex]\frac{4}{6} = \frac{2}{3}[/tex]

x = [tex]\frac{2}3}[/tex] is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

Number of seeds in each cup = 5 seeds in each cup

Step-by-step explanation:

Given:

Total number of seeds Liam has = 60 seed

Total number of plastics cup = 12 cups

Find:

Number of seeds in each cup

Computation:

Number of seeds in each cup = Total number of seeds Liam has / Total number of plastics cup

Number of seeds in each cup = 60 / 12

Number of seeds in each cup = 5 seeds in each cup

Answer:

2+2 is 4 4+4 is 8 8+8 is 16

Step-by-step explanation:

if you need them added up here: 4+8 =12 12+16 = 28

Answer:

11.55 years

Step-by-step explanation:

Given data

Principal= $3000

Rate= 6%

Final Amount= $6000

expression for the time is given as

t = ln(A/P) / r

Substitute

t= ln(6000/3000)/0.06

t= ln(2)/0.06

t= 0.693/0.06

t= 11.55 years

Hence the time is 11.55 years