Phil needs to run at least 30 miles this week for his training. If he has already run 18 miles this week, then how many miles should he run on each of the remaining 3 days?

Answer:

(5,53°) or (5,53.13010235°) if you want an exact value.

Step-by-step explanation:

Polar coordinate is in [tex]\displaystyle{(r,\theta)}[/tex] form and rectangular coordinate is in [tex]\displaystyle{(x,y)}[/tex] form.

To convert from rectangular coordinate to polar coordinate, you’ll have to know that:

[tex]\displaystyle{x=r\cos \theta}\\\displaystyle{y=r\sin \theta}[/tex]

Above is crucial when it comes to converting from rectangular coordinate to polar coordinate, or other way around. The thing is to convert from rectangular to polar, you’ll also have to know radius too which you can find by:

[tex]\displaystyle{r=\sqrt{x^2+y^2}}[/tex]

We know that x = 3 and y = 4, substitute in the formula:

[tex]\displaystyle{r=\sqrt{3^2+4^2}}\\\\\displaystyle{r=\sqrt{9+16}}\\\\\displaystyle{r=\sqrt{25}}\\\\\displaystyle{r=5}[/tex]

We know that radius is 5. We will have to find the theta next, first substitute in the conversion:

[tex]\displaystyle{3=5\cos \theta}\\\displaystyle{4=5\sin \theta}[/tex]

Since this can generally be found through calculator as it’s not a part of special triangle - can be found using hand method - The approximation of both theta’s values are 53°.

Hence, the polar coordinate is (5,53°) or (5,53.13010235°) if you want an exact value.

Answer:

2. 12 x 5

60

3. 10.8+10.8+5.1+5.1

31.8

hope it helps

Answer:

-30n+42

Step-by-step explanation:

You have to use distributive property.

Multiply 6 with -5n which is -30n. Then, Multiply 6 with 7 which is 42. Since, 5n is negative the product is also negative, and since 7 is positive the product is positive. Therefore you will get, -30n+42.

I hope this helps!

Could I get brainliest? ✨

The simplified form of 6(-5n + 7) is -30n + 42.

To simplify the expression 6(-5n + 7), we apply the distributive property. The distributive property states that when we multiply a number outside the parentheses by an expression inside the parentheses, we must multiply it by each term inside the parentheses.

In this case, we have 6 multiplied by the expression (-5n + 7).

Multiplying 6 by -5n gives us -30n, and multiplying 6 by 7 gives us 42.

So, combining these results, we get -30n + 42.

This simplified expression, -30n + 42, cannot be further simplified because there are no like terms to combine.

Therefore, 6(-5n + 7) simplifies to -30n + 42.

To learn more about the expression;

brainly.com/question/24242989

#SPJ6

Step-by-step explanation:

Option c shows line segment because it has no arrow marks

Answer: Believe you can and you're halfway there

Have a great day!

I don’t have the answer but I’m just spreading positivity.

Answer:

Outcomes are { L, RL, AL, RAL, ARL }

Associated X values are { 1, 2, 2, 3, 3 }

Step-by-step explanation:

As given,

left  = (L),

right = (R)

goes straight ahead  = (A)

Now,

The Sample space become = { L, RL, AL, RAL, ARL }

In L -

Number of cars = 1

In RL-

Number of cars = 2

In AL-

Number of cars = 2

In RAL-

Number of cars = 3

In ARL-

Number of cars = 3

Answer:

300

Step-by-step explanation:

Multiply the length which is 30 cm by 10 to give you the length in mm.

Answer:

0.3

Step-by-step explanation:

Answer:

this says that negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents. Only move the negative exponents.

¯\_(ツ)_/¯

Answer:

Negative exponents are a way of writing powers of fractions or decimals without using a fraction or decimal. You use negative exponents as a way to combine expressions with the same base, whether the different factors are in the numerator or denominator. It’s a way to change division problems into multiplication problems.

Step-by-step explanation:

A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa.

Answer:

Step-by-step explanation:

12²+18²=144+324=468

22²=484

468<484

12²+18²≠22²

it is not a right angled triangle.

Answer:

Step-by-step explanation:

Parallel lines have same slope.

y = mx + b

Slope = m  & y-intercept = b

x - 5y = 15

   -5y = -x + 15

      y = [tex]\frac{-1}{-5}x + \frac{15}{-5}\\\\[/tex]

[tex]y = \frac{1}{5}x - 3[/tex]

so, slope = 1/5   ; (-5 , 7)

y -y1 = m(x -x1)

[tex]y - 7 = \frac{1}{5}(x- [-5])\\\\y - 7 =\frac{1}{5}(x + 5)\\\\y - 7 = \frac{1}{5}x+5*\frac{1}{5}\\\\y - 7 =\frac{1}{5}x+1\\\\y =\frac{1}{5}x+1+7\\\\y=\frac{1}{5}x + 8[/tex]

Answer:

50%

Step-by-step explanation:

there are 12 total, half are green

Answer:

40.2

Step-by-step explanation:

Side 1= x

Side 2= x+20

Side 3= x+40

Side 4= x+60

Side 5= x+80

Total perimeter= 401

x+x+20+x+40+x+60+x+80= 401

Simplify it...

5x=201

x= 40.2

This is the answer= 40.2

Please award me brainliest!

Thanks!

The length of the shortest side of the pentagon would be:

40.2

Given that,

Every side of a pentagon is longer by 20 inches.

No. of sides in pentagon = 5

So,

Ist side of the pentagon [tex]= x[/tex]

IInd Side of the pentagon [tex]= x + 20[/tex]

IIIrd Side of the pentagon [tex]= x + 40[/tex]

IVth Side of the pentagon [tex]= x + 60[/tex]

Vth Side of the pentagon [tex]= x + 80[/tex]

We know that,

Perimeter = Sum of all the sides

Since the perimeter is 401 inches, the side can be determined through:

[tex]401 = x+x+20+x+40+x+60+x+80[/tex]

⇒ [tex]401 = 5x + 200[/tex]

⇒ [tex]401 - 200 = 5x[/tex]

⇒ [tex]201/5 = x[/tex]

∵ [tex]x = 40.2[/tex]

Thus, 40.2 is the correct answer.

Learn more about "perimeter" here:

brainly.com/question/6465134

Answer:

Kindly check explanation

Step-by-step explanation:

H0 : π ≥ 0.92

H1 : π < 0.92

At α = 0.05

Left tail

Z0.05/2 = Z0.025 = - 1.645

The test statistic

Zstatistic :

(m - p) / σ

Sample size, n = 85

m = 74/85 = 0.87

p = 0.92

σ = sqrt(p(1 - p) /n)

σ = sqrt(0.92(1 - 0.92) / 85)

σ = sqrt(0.0008658)

σ = 0.0294258

σ = 0.0294

Zstatistic :

(m - p) / σ

(0.87 - 0.92) / 0.0294

Zstatistic = −1.700680

Zstatistic = - 1.70

Decision region :

Reject H0: if ;

Zstatistic < Zcritical

-1.70 < - 1.645

Since,

Zstatistic < Zcritical ; then Reject H0.

Answer:

it’s A. (f+g)(x) is greater than or equal to 3 for all values of x.

Step-by-step explanation:

I got it right on the test.

Answer:Yoo the anser is A

Step-by-step explanation:

for the makeupo math corse

-(f + g)(x)  3 for all values of x

Answer:b

Step-by-step explanation:

Answer:

4(s+3)

Step-by-step explanation:

If you distribute 4 among the parentheses, it will be equal to s+s+s+s+12.

4(s+3)=4s+12=s+s+s+s+12

Hope this helps! Have a nice day <3

Answer:

4 quotient and 1 is estimate you don't have to thank me later

Answer: r= 0.972

Step-by-step explanation:

Answer:

Step-by-step explanation:

256

Answer:

256

Step-by-step explanation:

16 x 16=256

9514 1404 393

Answer:

  sometimes

Step-by-step explanation:

For positive numbers, multiplying by a factor greater than 1 increases their value:

  (1/2) × 2 = 1 > 1/2

For negative numbers, multiplying by a factor greater than 1 decreases their value:

  (-1//2) × 2 = -1 < -1/2

So, "sometimes" the product will be less than the given fraction.

Answer:

use Pythagoras theorem

the missing side is base

Step-by-step explanation:

pythagoras theorem

h^2 = p^2 + b^2

73^2 = 48^2 + b^2

5329 = 2304 + b^2

5329 - 2304 = b^2

3025 = b^2

√3025 = b

55 = b

Answer:

that makes no sense call your teacher for helpy

Answer:

-y-6/2

Step-by-step explanation:

Answer:

− y-6/2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(x) -7+3=-4

(y) 4-2=2

(-4,2)