Michael can swim 5 lengths of a swimming pool in 130 seconds.
Use this information to show that he could swim 100 lengths in under 45 minutes

Answer:

  ∠A = 44°

Step-by-step explanation:

Let b represent the measure of the exterior angle at B. Let c represent the measure of the exterior angle at C. The sum of angles in the lower triangle is ...

  b/2 +c/2 +68° = 180°

  b +c = 360° -136° . . . . . multiply by 2, subtract 136°

  b +c = 224°

__

The exterior angle b is the supplement of the interior angle there, so the interior angle B is ...

  B = 180° -b

The exterior angle c is the sum of the remote interior angles, so we have ...

  c = B +A

  c = (180° -b) +A

  A = (b +c) -180° . . . . . . . . add b-180° to both sides

  A = 224° -180° = 44° . . . . substitute for (b+c)

The measure of angle A is 44°.

_____

Additional comment

The angle naming is perhaps a little unconventional, but we wanted to use names that made the answer less cumbersome to write. We consider the angle A, B, C to be the interior angles of ΔABC, and we have named the exterior angles at B and C as 'b' and 'c'.

Conventionally, 'b' and 'c' would name the sides opposite angles B and C, respectively. We're not concerned with side lengths here, so we used those letters for an unconventional purpose.

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{b - 6a}\\\large\textsf{= \boxed{\textsf{44}} - 6\boxed{\textsf{(3)}}}\\\large\textsf{= 44 - 18}\\\large\textsf{= 26}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\textsf{26}}}}\huge\checkmark\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

  7 inches tall

Step-by-step explanation:

A graphing calculator quickly finds the solution to the cubic equation. It is convenient to define ...

  f(x) = 4x^3 -28x^2 +144x -1008

so f(x) = 0 gives the value of x that is of interest. That value is x=7.

The box is 7 inches tall.

_____

The equation f(x) = 0 can be divided by 4 to give ...

  x^3 -7x^2 +36x -252 = 0

This can be factored by grouping:

  (x^3 -7x^2) +(36x -252) = 0

  x^2(x -7) +36(x -7) = 0

  (x -7)(x^2 +36) = 0

The only real root is x = 7, which makes a factor zero.

_____

Additional comment

For finding solutions to cubic and higher-degree polynomials, I find a graphing calculator to be an extremely helpful tool. Desmos provides an online calculator and apps for various platforms. It may take a little while to learn how to use it effectively, but it can save immense amounts of time and frustration. Of course, your handheld graphing calculator can be just as useful.

Answer:

left 2 units, up 3 units

Step-by-step explanation:

(x-2, y+3)

-2 means 2 to the left

+3 means 3 up

So it would be left 2 units, up 3 units.

Answer:

Step-by-step explanation:

Rule:

If  x+b   right in b units

if  x-b    left   in b untits

if  y+b    up   in  b units

if  y-b  down in  b  units

You don 't have to use this rule if you know that on the Ox axis the line goes horizontally (the abscissa axis); And on the Oy axis vertically (the ordinate axis)

Then :

x-2    left in 2 units

y+3   up  in  3 units

22 because the bottom corner is 68. 68 time 2= 138 then you do 160-138=22 meaning x=22

we have -4.5 + 4.4 + x = 0

<=> -0.1 + x = 0

<=> x = 0.1 ( P/s: x is the answer to fill in the blank )

Now look in the answer below we have :

+) A. -6.7 + 6.8 = 0.1 (S)

+) B. -6.7 +(-6.6) = -13.3 (NS)

+) C. 7.2 + (-7.2) = 0 (NS)

+) D. 7.2 + (-7.3) = -0.1 (NS)      ( P/s: NS : not selected , S : selected )

So A is the correct answer

Ok done. Thank to me :>

Answer:it is D

Step-by-step explanation:

Answer: row 4 is “14441’’

Step-by-step explanation: so first square is 4 second is 4 and third is 1

Answer:

1  4  6  4  1

Step-by-step explanation:

By summing the 2 numbers above them, as instructed , then

1 + 3 = 4 and 3 + 3 = 6

The row is then

1  4  6  4  1

Answer:

Answer will be 1/53 as a fraction, and 0.02 as a decimal.

Step-by-step explanation:

In order to solve this equation, we will first plug in -8 into every x term.

So now we will have:

[tex]f( - 8) = \frac{1}{ - 8 {}^{2} - 11 } [/tex]

{Don't mind the f (-8), just think of it as a sort of place holder.}

Anyways, now we will do -8 × -8, since that's what -8^2 implies:

-8 × -8 = 64

Next do 64 - 11, to get 53.

Now we have 1/53

(You can also divide the numerator by the denominator, to get the answer in decimal form.)

Hope this helps you :)

Sorry if it doesn't.

Answer:

Well, the answer is: it depends on what was printed in the problem. The principal square root symbol never has a negative output, so if the test maker printed that symbol, it’s restrictions have to be respected: all square roots then are positive.

Step-by-step explanation:

a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16. Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √(x), where the symbol √( ) is called the radical sign or radix.

Answer/Step-by-step explanation:

The square root could be positive or negative because multiplying two negative numbers gives a positive number. The principal square root is the nonnegative number that when multiplied by itself equals a. The square root obtained using a calculator is the principal square root.

Answer:

4 duhh... Ur kidding me??

Answer:

22 because 2+2

Step-by-step explanation:

if we put 2 near 2 it will be 22 so the answer is 22

Answer:

[tex]1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC2. m2BDC=3(x-5) and m--BC=x+25,what is MZA3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?[/tex]

Step-by-step explanation:

Answer:

900,000

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Well, let's start out by figuring out how many apartments have not been scheduled to receive new carpet. We know that 75 have been scheduled and that there are 120 total apartments, so the number of apartments that have not been scheduled is 120 - 75 or 45.

Now, we need to find the fraction of apartments that have not been scheduled to receive new carpet. To do this, we divide the number of apartments that have not been scheduled to receive new carpet by the total number of apartments:

[tex]\frac{45}{120}[/tex]

We can divide both sides by a common factor of 15 to find the simplified fraction and determine our answer.

[tex]\frac{45}{120} /\frac{15}{15} =\frac{3}{8}[/tex]

So, 3/8 of the apartments have not been scheduled to receive new carpet.

Answer:

[tex]106 yd^2[/tex]

Step-by-step explanation:

Answer is attached. Let me know if you would like another explanation that would yield the same solution.

Answer:

  19. m = -3; f(x) = -3x +5

  21. m = 0; f(x) = 9

  24. m = -3/2; f(x) = -3/2x +18 1/2

Step-by-step explanation:

The slope of the function is given by the slope formula ...

   m = (y2 -y1)/(x2 -x1)

The y-intercept (b) can be found from the table when it includes a point (x, y) = (0, b). If the table doesn't have the y-intercept, it can be found from ...

  b = y -mx

When m and b are known, the slope-intercept equation is ...

  f(x) = mx +b

__

  m = (11 -14)/(-2 -(-3)) = -3/1 = -3

The slope is -3. The function is f(x) = -3x +5.

__

  m = (9 -9)/(2 -3) = 0/-1 = 0

The slope is 0. The function is f(x) = 9.

__

  m = (14 -17)/(3 -1) = -3/2

  b = 17 -(-3/2)(1) = 18 1/2

The slope is -3/2. The function is f(x) = -3/2x + 18 1/2.

Answer:

error= 0.1/2, 0.05

4.8 + 0.05 = 4.85

6.3 + 0.05 = 6.35

4.85 x 6.35 = 30.7975 cm (when rounded, gives 30.80 cm).

Step-by-step explanation:

Answer:

<1= 60

<2=120

<3=60

<4=60

<5=120

<6=120

<7=60

Step-by-step explanation:

Answer:

Length is 30ft, area is 600ft squared

Step-by-step explanation:

Answer:

DUDE MAYBE SHOW THE GRAPH ????

In order of smallest to largest.

1) -7.1

2) -4 1/3

3) -4/5

4) .889753

5) 11/12

6) 0

7) π

8) 3.28

Answer:

E

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the diagonal ( hypotenuse ) be d , then

d² = 5² + 5² = 25 + 25 = 50 ( take square root of both sides )

d = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex] → E

Answer:

-25 can be expressed as a ratio of -50/2, -75/3, etc

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

$7.97

Step-by-step explanation:

98.2 Oz = 6.1375 Lbs

6.1375 Lbs times $1.30 = 7.97875

The outcomes are

Total Outcomes=3×3=9

Answer:

-3/12

Step-by-step explanation:

To figure out the answer, you have to use the formula: [tex]\frac{Y2-Y1}{X2-X1}[/tex]  to find the slope.

plug in the coordinates: 7,5

-5,8

[tex]\frac{5-8}{7-(-5)}[/tex]= which will equal= [tex]\frac{-3}{12}[/tex]

Have a wonderful week!

Answer:

May we assume "f-'(x)" means the fiurst derivative of f(x)?  I'm not sure what f-'(x) sign means, if not that.  The answer assume this is the first derivative.  No graphs are shown, so I'll add one.

Step-by-step explanation:

f(x) = 2x + 3

f'(x) = 2

The graph would be a staight vertical line through x=2.  The slope of the line f(x) = 2x + 3 is 2

Answer:

75

Step-by-step explanation:

joshua - x

kale - 1/3x

1/3x = 25

x = 25(3)

x = 75

Answer:

2. the car drove at 60 miles per hour

Step-by-step explanation:

:)