Baker leaves his house and drives 10 miles north then 24 miles west to Tellus Science Museum. If
Baker could drive in a straight line from his house to the museum, how many miles would he save?
How many miles is the normal route?
How many miles is the straight line?
How many miles would Baker save? (Hint: subtract the two.)

A water sprinkler has a rotational motion in order to reach a broad area

from its stationary location.

The time it takes the sprinkler to reach the far right position is 36 seconds.

Reasons:

The given parameter are;

The angular speed of the water sprinkler, ω = 5° per second

Location where the sprinkler starts = The far left position

Required:

The time it takes the sprinkler to reach the far right position.

Solution;

The angle covered by moving from the far left to the far right, θ = 180°

Time required is given as follows;

[tex]\omega = \mathbf{\dfrac{\theta}{t}}[/tex]

Therefore;

[tex]t = \dfrac{\theta}{\omega}[/tex]

Which gives;

[tex]t = \dfrac{180 ^{\circ}}{5^{\circ}/s} = 36 \, s[/tex]

The time it takes the sprinkler to reach the far right position, t = 36 seconds.

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Answer:

5 : 2

Step-by-step explanation:

40:16

Divide each side by 8

40/8:16/8

5 : 2

Answer:

5 :2

Step-by-step explanation:

40 : 16

= 40/16

= 4*10 / 4*4

= 10/4

= 5*2 / 2*2

=5/2

Answer:

depends how much he chopped up

Step-by-step explanation:

Answer:

Nothing

Step-by-step explanation:

"5. Hamza chopped up

pineapple and gave ½ to his

mum. He also ate half himself.

How much was left to give to

his dad?"

1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0

Answer: There was nothing left for him.

Answer:

  -3x +5y = 18

Step-by-step explanation:

The inverse relation is found by swapping x and y.

Answer:

4

Step-by-step explanation:

Answer:

this is the answer....

Answer:

x - (5 -sqrt149 ) / 4  and x-  (sqrt149+5)/4   = = x - -4.3016389  and x - 4.3016389

Step-by-step explanation:

1/2 x-5(x-1/3)=5/4 x+3 = ( 1/2x^2-5x -1/6x -5/3)  = (5/4x+3)  = ( 1/2x^2-6 5/6)  = (5/4x+3)  convert 5/4 to  12ths = *3 =  15/12  and 5/6 * 2 = 10/12 =  ( 1/2x^2-6 10/12)  = (15/12x+3)  = 1/2 x^2 - 15/12x -6 10/12 - 3 = 0   = 1/2 x^2 - 15/12x -3 10/12 = 0 then multiply by 2 to make 1/2 whole 1/2 x^2  (2)- 15/12x (2) -3 10/12 (2) = 0 =  x^2 - 30 /12x -6 20/12 (2) = 0  simplify irregular fraction  x^2 - 2 2/4x  -7 3/4  = 0  then do the abc quadratic formula = x - (5 -sqrt149 ) / 4  and x-  (sqrt149+5)/4   =  x-  -17.2065556/4   = x - -4.3016389    and 17.2065556/4 =x - 4.3016389

Answer:

9/10

Step-by-step explanation:

hope this helps

Answer:

9/10

Step-by-step explanation:

divide top and bottom by 10

Answer:

$84.12

Step-by-step explanation:

78.99 x 0.065 = 5.13

78.99 + 5.13 = 84.12

Answer: Offer B because it will cost less.

Step-by-step explanation: Hope this helps :)

Answer:

Step-by-step explanation:

30F + 55S = 45(437.5)

30F + 55S = 19687.5

30F = 19687.5 - 55S

F = (19687.5 - 55S) / 30

30((19687.5 - 55S) / 30) + 55S = 19687.5

S = 0 (30%)

F = (19687.5 - 55S) / 30 (55%)

Answer: (5,1)

Step-by-step explanation:

Divide both sides of the equation by 3, Eliminate the x's and you should have 6y=6. After solving y to be 1 plug it into one of the equations to find x

Answer:

95.80

Step-by-step explanation:

hope I helped BESTIEE

Answer:

Step-by-step explanation:

23/24 as a decimal is 0.95833333333333.

Answer:

Do the same thing for the other exercises and you should find the results. They are all complimentary angles, that means if you sum the two equations representing the angles of each exercise they will be equal to 180º always

Step-by-step explanation:

3. notice 2x is complimentary of 2x + 80 because 2x is opposed to that blank space that compliments it.... I'm bad at explaining, I'll just show.

2x + 2x + 80 = 180

4x + 80 = 180

4x = 180 - 80

4x = 100

x = 25º

so then:

2x = 2*25

2x = 50º

and:

2x + 80 = 50 + 80

2x + 80 = 130º

Answer:

U(x)= 3+4

Step-by-step explanation:

I simplified this equation into function notation form, then simplified the 12 and 4 with the common factor of 4.

Hope this helped and have a great day,

Ginny

Answer:

14

Step-by-step explanation:

you could solve this three different ways

1. 4*3 is 12  so add 4 = 16

2. 4 squared because 4*4 = 16

3. draw 4 groups of four to get 16

Answer: Try square root for the first one.

Step-by-step explanation: I know a lot about graphs tell me if I am right or wrong. Ok?

Answer:

B-NO CORRELATION.....

Answer:

4.148148149

Step-by-step explanation:

that's the answer

Step-by-step explanation:

2a-1/3 / b/15

[tex](2 \times \frac{ - 3}{5 } ) \div \frac{ - 6.75}{15} \\ = \frac{ - 6}{5} \times \frac{15}{ - 6.75} \\ = \frac{18}{6.75} [/tex]

Okay, suppose your income is about $100.

You might spend $70 & save $30.

Now, suppose your income remains constant at $100 but your expenses go up to, say, $90. You can see that your savings will reduce or decrease. Now, you'll only have about $10 to save.

=》 So, if your income is constant, then your savings will 'decrease' when your expenses increase.

_______

RainbowSalt2222 ☔

Answer:

divide the given line into halves

Answer:

C. 128 cm³

Step-by-step explanation:

16(20) = 320

320/2.5 = 128 cm³

Answer:

480in

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6 * 8 = 48

48 / 2 = 24

because it's half a square

Answer:

Dina took 12/8 = 3/2 hrs

So, if Masha's speed was x

3/2 x = 12-3

x = 6 mi/hr

Answer:

Step-by-step explanation:

Dina finished in a time of

12 mi / 10 mi/hr = 1.2 hr  

Masha's speed is (12 - 4 mi) / 1.2 hr = 6⅔ mph

Answer:180

Step-by-step explanation:

Answer:

it would be 75 + 51

hope this helps

136

Step-by-step explanation: