A boat leaves the dock and travels 9 miles due south, then 12 miles due west. How far is the boat from the dock A. 15 mi B. 21 mi C. 3 mi D. 225 mi

Answer:

Step-by-step explanation:

Two line segments AD and CE intersects at a point B.

Two angles which represent the pair of adjacent angles are,

∠ABC and ∠DBC

Pair of vertical angles (Opposite angles between two intersecting lines) is,

∠ABE and ∠CBD

Answer:

See attachment for plot

Step-by-step explanation:

Given

[tex]t = (-1,2.5)[/tex] ---- coordinates of t

s = 5 units to the right of t

Required

Plot s

First, we determine the coordinate of s

The rule to translate a point to the right is:

[tex](x,y) \to (x + h,y)[/tex]

Where h is the number of units

i.e.

[tex]h= 5[/tex]

So, we have:

[tex]s = (-1 + 5, 2.5)[/tex]

[tex]s = (4, 2.5)[/tex]

See attachment for plot

Answer:

This is not a statistical question

Step-by-step explanation:

A statistical question is a question the gathers varying data

Answer: the first one

Step-by-step explanation:

(x,y)->(4x, 4y)

Answer:

D)

Step-by-step explanation:

5x5+5=30

8x9+7=79

24x3+28=100

Answer:

13) non-regular pentagon (5-sides, all sides not equal)

14) regular hexagon (6-sides, all appear to be equal)

15) two pair of parallel sides without right angles is a parallelogram

16) two pair of parallel sides with four right angles is a rectangle; if all sides are equal then it is a square

Step-by-step explanation:

Answer:

5 and 1/4 cups

Step-by-step explanation:

Break it down

.75 times 3 = 2.25

1 times 3 = 3

2.25 +3 = 5.25 or 5 1/4 cups

Answer:

5 and 1/4 = 5.25

Step-by-step explanation:

I converted 5 and 3/4 to 5.75. Then i just multiplied 5.75*3=5.25. 5.25 is equal to 5 and 1/4

Hope this helps :)

Answer:

18

Step-by-step explanation:

all angles of a triangle adds up to 180

90 + 25 + (3x+11) = 180

3x + 11 = 65

3x = 54

x = 18

Answer:

x= 18

90+25= 115

115-180= 65

65-11=54

54/3=18

Step-by-step explanation:

:)

Answer:

$14.43¢

Step-by-step explanation:

We are given; [tex]1\frac{2}{5}[/tex] pounds, 1 pound = $4.20 and [tex]2\frac{1}{4}[/tex] pounds,1 pound = $3.80 that Andrea bought.

Now we need to find her total cost. To do that, we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]1\frac{2}{5}[/tex] to a decimal. It is 1.4. Now we can set up a graph.

Avocados

[tex]\frac{4.2}{1}=\frac{x}{1.4}[/tex]

Switch sides

[tex]\frac{x}{1.4}=\frac{4.2}{1}[/tex]

Apply rule: [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{1.4}=4.2[/tex]

Multiply both sides by 1.4

[tex]\frac{1.4x}{1.4}=4.2\cdot \:1.4[/tex]

Simplify

[tex]x=5.88[/tex]

So, her cost for avocados is $5.88¢

Now we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]2\frac{1}{4}[/tex] to a decimal. It is 2.25. Now we can set up a graph.

Asparagus

[tex]\frac{3.8}{1}=\frac{x}{2.25}[/tex]

Switch sides

[tex]\frac{x}{2.25}=\frac{3.8}{1}[/tex]

Apply rule : [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{2.25}=3.8[/tex]

Multiply both sides by 2.25

[tex]\frac{2.25x}{2.25}=3.8\cdot \:2.25[/tex]

Simplify

[tex]x=8.55[/tex]

So, her cost for asparagus is $8.55¢

Total cost

Now that we have found out how much both of the fruits Andrea bought costs, we need to sum it up (meaning add it) to find the total cost:

$5.88¢ + 8.55¢ =

5.88 + 8.55 = 14.43

Therefore, Andrea's total cost of the fruits is $14.43¢

Answer:

See Below.

Step-by-step explanation:

Problem 1)

We want to verify that:

[tex]\displaystyle \left(\cos(x)\right)\left(\cot(x)\right)=\csc(x)-\sin(x)[/tex]

Note that cot(x) = cos(x) / sin(x). Hence:

[tex]\displaystyle \left(\cos(x)\right)\left(\frac{\cos(x)}{\sin(x)}\right)=\csc(x)-\sin(x)[/tex]

Multiply:

[tex]\displaystyle \frac{\cos^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:

[tex]\displaystyle \frac{1-\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Split:

[tex]\displaystyle \frac{1}{\sin(x)}-\frac{\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Simplify:

[tex]\csc(x)-\sin(x)=\csc(x)-\sin(x)[/tex]

Problem 2)

We want to verify that:

[tex]\displaystyle (\csc(x)-\cot(x))^2=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Square:

[tex]\displaystyle \csc^2(x)-2\csc(x)\cot(x)+\cot^2(x)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:

[tex]\displaystyle \frac{1}{\sin^2(x)}-\frac{2\cos(x)}{\sin^2(x)}+\frac{\cos^2(x)}{\sin^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out the sin²(x) from the denominator:

[tex]\displaystyle \frac{1}{\sin^2(x)}\left(1-2\cos(x)+\cos^2(x)\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (perfect square trinomial):

[tex]\displaystyle \frac{1}{\sin^2(x)}\left((\cos(x)-1)^2\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{1-\cos^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (difference of two squares):

[tex]\displaystyle \frac{(\cos(x)-1)^2}{(1-\cos(x))(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out a negative from the first factor in the denominator:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{-(\cos(x)-1)(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Cancel:

[tex]\displaystyle \frac{\cos(x)-1}{-(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Distribute the negative into the numerator. Therefore:

[tex]\displaystyle \frac{1-\cos(x)}{1+\cos(x)}=\displaystyle \frac{1-\cos(x)}{1+\cos(x)}[/tex]

Answer: Hope this helps!

XYW=48 degrees

X=16

Step-by-step explanation:

So the angles are on a straight line. A straight line is 180 degrees. If you subtract 132 by 180 you get 48. Now to solve for x I divided 48 by 3. And I got 16.  

Step-by-step explanation:

1). m∠ XYW = 180° - 132°

= 48°

2). 3x + 132 = 180°

3x = 180° - 132°

3x = 48°

x = 48/3

x = 16°

Answer:

$843.74

Step-by-step explanation:

A = P (1 + r/n)^nt

A = 680(1 + 0.027/12)^12·8

A = 680( 1.00225)^96

A = 843.74

Answer:

1. answer is 12

2. answer is 18

3. answer is 2

Answer:

false

Step-by-step explanation:

solid A surface area-112

solid B surface area-136

to find the surface area of a rectangular prism the equation is  2(lw + lh + wh)

Solid A  4*8+4*2+8*2

32+8+16

56*2=112

Solid B 2*2+2*16+2*16

4+32+32

68*2=136

Answer:Ellise's sister has php 2.4

Step-by-step explanation:

Let the amount of money Ellise sister has be = x

and amount Ellise has be =4x

since Ellise has  php 10.40

her sister will have php 10.40/4 = php 2.4

Answer:

C is the answer

Step-by-step explanation:

Answer:

C, I got it right

Step-by-step explanation:

The two major types of series are the arithmetic series and the geometric series. The arithmetic series is characterized by common difference, while the geometric series has common ratio between two successive terms.

The sum of the given series is:

[tex]\lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]

The given series is a geometric series. So, we first calculate the common ratio (r) using:

[tex]r = T_2 \div T_1[/tex]

From the series, we have:

[tex]T_1 = \frac{1}{4}[/tex]

[tex]T_2 = \frac{1}{16}[/tex]

So, the equation becomes

[tex]r = \frac{1}{16} \div \frac{1}{4}[/tex]

Rewrite as product

[tex]r = \frac{1}{16} * \frac{4}{1}[/tex]

[tex]r = \frac{1}{4}[/tex]

The formula to calculate the sum of a geometric series of is:

[tex]S_n = \frac{a(1 - r^n )}{1-r}[/tex]

Where

[tex]a = T_1 =\frac{1}{4}[/tex] -- the first term

[tex]S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{1-\frac{1}{4}}[/tex]

Simplify the denominator

[tex]S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{\frac{3}{4}}[/tex]

Divide 1/4 by 3/4

[tex]S_n = \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]

We can conclude that, the sum of the series is:

[tex]S_n = \lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]

Read more at:

https://brainly.com/question/21087466

Answer:

42y-30

Step-by-step explanation:

here you go

I am not pretty sure of the answer but maybe it's 5/10

Answer:

the number half way between 1-5 is 3. and the number half way between 9/10 is 9.5

Step-by-step explanation:

to find the number half way between 1/5 just write out all the numbers (1 2 3 4 5) and 3 is the halfway point because there are two numbers on the right and to numbers on the left

the number halfway between 9 and 10 is 9.5. all you do is add 9 +10 then divide by 2

9+10=19

19÷2= 9.5

Answer: There are 24336000 different codes that are possible.

Step-by-step explanation:

We know that,

Total alphabets = 26

Total digits = 10

Choices for First place = 26+10=36

Choices for next 3 places = 10 x 10 x 10 = 1000

Choices for last 2 places = 26 x 26 = 676

Total different codes are possible = 36 x 1000 x 676

=24336000

Hence, there are 24336000 different codes that are possible.

Answer:

5

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

add 25 & 8 together

Answer:

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Answer:5.7

Step-by-step explanation:

Answer:

52. (0,-3)

53. Slope= 4

54. Y=4x-3

Answer:

The common difference is -1.

The last term (the 14th term) is -11.5.

Step-by-step explanation:

In an arithmetic sequence, the second term is 0.5 and the sum of the first 14 terms is -70.

We want to determine the: (a) common difference and (b) the last term.

We can write an explicit formula to represent the sequence. An arithmetic sequence can be modeled by the formula:

[tex]\displaystyle x_n=a+d(n-1)[/tex]

Where a is the initial term, d is the common difference, and n represents the nth term.

Since the second term is 0.5:

[tex]x_2=0.5=a+d(2-1)[/tex]

Simplify:

[tex]x_2=0.5=a+d[/tex]

The sum of an arithmetic sequence is given by the formula:

[tex]\displaystyle S=\frac{k}{2}\left(a+x_k\right)[/tex]

Where k is the number of terms and x_k is the last term.

Since the sum of the first 14 terms is -70, S = -70 and k = 14:

Using our explicit formula, the last term is:

[tex]x_{14}=a+d(14-1)=a+13d[/tex]

Substitute:

[tex]\displaystyle -70=\frac{14}{2}(a+(a+13d))[/tex]

Simplifiy:

[tex]-10=2a+13d[/tex]

Rewrite the equation for the second term:

[tex]a=0.5-d[/tex]

Substitute:

[tex]-10=2(0.5-d)+13d[/tex]

Simplify:

[tex]-10=1-2d+13d[/tex]

Solve for d:

[tex]d=-1[/tex]

Hence, our common difference is -1.

Solve for a, the initial term:

[tex]a=0.5-(-1)=1.5[/tex]

So, our explicit formula is now:

[tex]x_n=1.5-1(n-1)=1.5-n+1=2.5-n[/tex]

So, the last term (which is 14) is:

[tex]x_{14}=2.5-(14)=-11.5[/tex]

Answer:

The answer would be exactly 250 messages.

0.50 × x = $125

125÷ 0.50=250

Hope this helps!