A car travels 28 miles south and then 45 miles east around a lake. A boat leaves from the same place and arrives at the same place but travels directly from point A to point B. Calculate how many miles the boat and the car each traveled total. Then calculate who arrived first if the car was traveling at 40miles per hour and the boat traveled at 25 miles per hour.

Answer:

14.3

Step-by-step explanation:

Formula: a^2 + b^2 = c^2

9+196= 205 then find the square root of 205, approximate then use tenths.

Answer:

14.3

Step-by-step explanation:

Use the following equation:

a² + b² = c² , in which the variable c = hypotenuse, and a & b are the other legs.

It is given that the legs measure 3 and 14 respectively. Plug in the given numbers to the given leg variables:

a² + b² = c²

3² + 14² = c²

Simplify. First, solve the powers, and then combine like terms:

(3 * 3) + (14 * 14) = c²

9 + 196 = c²

c² = 205

Next, root both sides of the equation:

√c² = √205

c = √205 = 14.3178

c = 14.3 (Rounded to the nearest tenth).

14.3 is your answer.

~

Answer:

When I grow up I want to be

Answer:

its A

Step-by-step explanation:

ur welcome

[tex] \sf\red{the \: length \: of \: the \: middle \: kh \: is \: \frac{a \: + \: b}{2} units}[/tex]

[tex]\begin{gathered}{\boxed{\begin{array}{cccc} \sf{For \: point \: K} & \\ & \sf \\ \sf{Q( 0, 0 )\: U( c, d )}\\ \tiny \times = \times \frac{ \times 1 \: + y \: 2}{2} \: \: y = \frac{y \: 1 + y \: 2}{2} \\ \tiny{ \times = \frac{0 \: + \: c}{2} \: y = \frac{0 \: + \: d}{2} } \\ \tiny{ \times = \frac{c}{2} \: \: \: y = \frac{d}{2} } \\ \tiny \red{the \: coordinates \: of \: point \: K \: are \: ( \frac{c}{2} . \frac{d}{2} )} \end{array}}}\end{gathered} [/tex]

[tex]\begin{gathered}{\boxed{\begin{array}{cccc} \sf{For \: point \: H} \\ \\ \tiny{b),d] D(a,0)} \\ \tiny \times = \frac{ \times 1 \times 2}{2} \: \: y = \frac{y \: 1 + y \: 2}{2} & \\ \tiny{ \times = \frac{a + (c + b)}{2} \: \: y = \frac{0 + d}{2} } &\\ \tiny{ \times = \frac{a + b + c}{2} \: \: \: y = \frac{d}{2} } \\ \tiny\red{ The\: coordinates\: of\: point \:H\: are ( \frac{a + b + c}{2} , \frac{d}{2} ) }\end{array}}}\end{gathered} [/tex]

[tex] \sf \: k( \frac{c}{2} . \frac{d}{2} ) \: \: \: h( \frac{a + b + c}{2} . \frac{d}{2} )[/tex]

[tex] \sf \: d = \sqrt{(x2 - \times 1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

[tex] \sf \: kh = \sqrt{ \frac{[a \: + \: b \: + \: c}{2} - \frac{c}{2} {}^{2} + ( \frac{d}{2} - \frac{d}{2}) ^{2} } [/tex]

[tex] \sf \: kh = \sqrt{ (\frac{a + b}{2}) {}^{2} + (0) {}^{2} } [/tex]

[tex] \sf \: kh = \sqrt{( \frac{a + b}{2}) {}^{2} } [/tex]

[tex] \sf \: kh = \frac{a + b}{2} [/tex]

[tex] \sf\red{the \: length \: of \: the \: middle \: kh \: is \: \frac{a \: + \: b}{2} units}[/tex]

Answer:

20-x

Step-by-step explanation:

you need the value of x to answer

Answer:

Graph Passing through origin with Gradient ⅓

Step-by-step Solution:

1. Aquire x and y Intercepts by substituting 0 to corresponding value.

When x=0,

[tex]y = \frac{1}{3} (0) \\ y = 0[/tex]

When y=0,

[tex]0 = \frac{1}{3} x \\ x = 0[/tex]

i.e. passing through Origin

do the same for any other 2 points and connect the dots/coordinates and extend the line

Answer:

2×5÷4=2.5

Step-by-step explanation:

2 boxes × 5 cards ÷ white cards

Answer:

$15.49

Step-by-step explanation:

0.75 x 2 = 1.5

1.50 + 13.99 = 15.49

The clerk is correct; Anna only gave 20 dollars (10x2). 20 - 15.49 = 4.51, which then would be the correct change.  

Answer:

b

Step-by-step explanation:

the x has been cubed meaning

X * X *X = x^3

X^3 has been added to 5

C is saying they multiplied three to x therefore being

B

The  two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104

Let the two unknown numbers be x and y

If the sum of the numbers is 21, hence;

x + y = 21

x = 21 - y

If the product is 104, then;

xy = 104
(21-y)y = 104

21y - y^2 = 104
y^2-21y + 104 = 0

Factorize the result

y^2-8y - 13y+ 104 = 0
y(y-8) - 13()y-8) = 0
y = 13 and 8

Hence the two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104

Learn more on system of equation here:  https://brainly.com/question/847634

Answer:

-8x

Step-by-step explanation:

[tex]-3(x+2)^{2}+4\\-3(2x)^{2}+4\\-12+4\\\ y=-8x[/tex]

Answer:

Step-by-step explanation:

Use the formulas supplied in the picture attached. There's nothing to really learn here, it is just a plug-and-chug formula:

[tex]sin(3x)sin(2x)=\frac{1}{2} [cos(3x-2x)-cos(3x+2x)][/tex]

[tex]sin(3x)sin(2x)=\frac{1}{2} [cos(x)-cos(5x)][/tex]

Moving on to the second problem:

[tex]cos(a)sin(b)=\frac{1}{2}[ sin(a+b)-sin(a-b)][/tex]

Therefore:

[tex]2cos(a)sin(b)=sin(a+b)-sin(a-b)[/tex]

Where:

[tex]a+b=5x[/tex]

[tex]a-b=3x[/tex]

Solve for 'a' using the second equation to get:

[tex]a=3x+b[/tex]

Plug this into the first equation to get:

[tex]3x+b+b=5x[/tex]

[tex]3x+2b=5x[/tex]

[tex]2b=2x[/tex]

[tex]b=x[/tex]

Therefore:

[tex]a+x=5x[/tex]

[tex]a=4x[/tex]

Finally:

[tex]sin(a+b)-sin(a-b)=2cos(4x)sin(x)[/tex]

Answer:

$2000 with payments of $320 a month

Step-by-step explanation:

360 x 6 = 2160

2160 + 2400 = 4560

320 x 6 = 1920

1920 + 2000 = 3920

Answer:

dealer A

Step-by-step explanation:

A: 360×6=2160

2400-2160=240

they save $240

B: 320×6=1920

2000-1920=80

they save $80

Answer:

B

Step-by-step explanation:

center (1/2,-5/2)

radius=1/2

The correct location is between the two and three for the first digit and the three and six for the second number.

Answer:

please the question is not clear

Answer:

i don't know how much will l loose

[tex]v = \frac{4}{3} \times \pi \times ({ \frac{8}{2} })^{3} \\ [/tex]

[tex]v = \frac{4}{3} \times 3 \times {4}^{3} \\ [/tex]

[tex]v = {4}^{4} [/tex]

[tex]v = {2}^{8} [/tex]

[tex]v = 256 \: \: {cm}^{3} [/tex]

Answer:

318

Step-by-step explanation:

find area of the big triangle then split the remaining shape into a large rectangle and a smaller rectangle

Answer:

318 mi²

Step-by-step explanation:

Formulae

Area of a rectangle = width x length

Area of a triangle = 1/2 x base x height

Divide the figure into 1 triangle and 2 rectangles (see attachment).

Area of Triangle 1 = 1/2 x (10 + 6 + (11 - 8)) x 22

                             = 1/2 x 19 x 22

                             = 209 mi²

Area of Rectangle 2 = 5 x (11 + 6)

                                  = 85 mi²

Area of Rectangle 3 = 4 x 6

                                  = 24 mi²

Total area = 209 + 85 + 24 = 318 mi²

Answer:

9 3/10

Step-by-step explanation:

5 4/5 = 5 8/10

3 1/2 = 3 5/10

3 5/10 + 5 8/10 = 9 3/10

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \tt \dashrightarrow \:5 \frac{4}{5} + 3 \frac{1}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:\frac{29}{5} + \frac{7}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:\frac{58 + 35}{10} [/tex]

[tex]\qquad \tt \dashrightarrow \:\frac{93}{10} [/tex]

[tex]\qquad \tt \dashrightarrow \:9\frac{3}{10} [/tex]

Answer:

I think 50 yrs old

Step-by-step explanation:

I'm not good at percentages, but if you have 100% hair, and lose 5% every year, 5x10= 50 which can be written as 50%, meaning half of 100%

Answer:

y=2x+1

Step-by-step explanation:

You use the equation y=mx+b and substitute m for the slope/gradient. Then you use (2,5) to subtitue for y and x. Solve the equation for b. Then you have your slope and b, and you can make your equation from this.

Answer:

its logx=logy

Answer:

its logx=logy

Answer:

y = 3x - 5

Step-by-step explanation:

To find the equation of the line, you can use y = m x + c.

Here,

m ⇒ slope

c ⇒ y-intercept

Given that,

slope = 3

y-intercept = -5

So, to find the equation of the line you have to simply replace m and c in the formula, (y = m x + c )with the given slope and y-intercept.

Let us solve it now.

y = m x + c

y = 3x - 5

Answer:

y = 3x - 5

Step-by-step explanation:

Slope-intercept form of an equation

Given that m = 3 and b = -5

have a government

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Step-by-step explanation:

yan napo lahat answer

8 times

I hope this helps you

:)

Answer: are congruent, rotation

Step-by-step explanation:

Answer:

$469887

Step-by-step explanation:

you should use compound interest formula which is

A=P(1+r/100) ^t

A = 242800 ( 1 + 0.045 ) ^ 15

when you punch this into a calculator you will get 469886.5771.....

when you round it off to a whole number the answer is $469887