Work out the area of a circle with radius of 7.5cm

Answer:

(8x - 9)˚ = 63˚

and

(3x)˚ = 27˚

Step-by-step explanation:

heeyyyyy remember me?

Complementary angles are angles that equal 90˚, so we can create an equation:

(8x - 9) + 3x = 90

Remove the paranthesis

8x - 9 + 3x = 90

Add 9 to both sides

8x + 3x = 99

Simplify

11x = 99

divide both sides by 11

x = 9

So if we plug in x for 9 we get:

8x - 9

8(9) - 9

72 - 9

63

3x

3(9)

27

So

(8x - 9)˚ = 63˚

and

(3x)˚ = 27˚

Answer:

8/20= 4/5

25/60= 5/12

Step-by-step explanation:

8÷4

Answer:

Step-by-step explanation:

the total price for clothes= 24.95+14.95=39.90

sales tax 39.90*9.5/100=3.79

the total paid to the clerk will be=39.90+3.79=43.69

Plug in for a

2(4-b)+b=1

8-2b+b=1

8-b=1

b=7

Step-by-step explanation:

Answer:

The average rate of change of the function over the interval is of 2.

Step-by-step explanation:

Suppose we have a function f(x), over an interval (a,b).

It's average rate of change over the interval is given by:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this question:

[tex]g(x) = x^2 + 10x + 19[/tex]

Over the interval -9 < x < 1, so [tex]a = -9, b = 1[/tex]. So

[tex]A = \frac{g(1) - g(-9)}{1 - (-9)} = \frac{g(1) - g(-9)}{10}[/tex]

We have that:

[tex]g(1) = 1^2 + 10(1) + 19 = 1 + 10 + 19 = 30[/tex]

[tex]g(-9) = (-9)^2 + 10(-9) + 19 = 81 - 90 + 19 = 10[/tex]

So

[tex]A = \frac{30 - 10}{10} = \frac{20}{10} = 2[/tex]

The average rate of change of the function over the interval is of 2.

Answer:

See Explanation below.

Step-by-step explanation:

What the workers can do to ensure the patio is truly rectangular, before pouring the concrete, is to measure the length of the sides of the patio.

This requires full knowledge of the physical properties of a rectangle.

The opposite sides of a rectangle (the two sides which go in the same direction or which are parallel to each other) are equal in length and one set of parallel sides must be longer than the other set of parallel sides.

These are the conditions that the patio must satisfy, to be truly rectangular.

Once the workers have made sure of this, they can go ahead and pour the concrete.

Answer:

4 pop songs for the first part 24 for the second I believe

Answer:

That would be 4 pop songs for the 8 rap songs on. The ratio would be 8:4.

The second on would be 24:12.

Step-by-step explanation:

Complete Question:

Elijah asked 300 students at his school to name their favorite type of pet. The results are shown in the pie chart below. How many students chose fish as their favorite pet?

a. 180 b. 18 c. 54 d. 30

*Check the attachment for the pie chart

Answer:

C. 54

Step-by-step explanation:

Total number of students under survey = 300

Percentage of students who chose fish as their favorite = 18%

Number of students who chose fish as their favorite pet = [tex] \frac{18}{100} * 300 [/tex]

[tex] = 18 * 3 [/tex]

[tex] = 54 [/tex]

54 students chose fish as their favorite pet.

Answer:

The rate of change is of 2.25 degrees per hour.

Step-by-step explanation:

The rate of change in degrees per hour is given by by the change in temperature divided by the change in time(by number of hours).

In this question:

From 6 am to 2 pm, there are 12 - 6 + 2 - 0 = 6 + 2 = 8 hours

The change in temperature was of 76 - 58 = 18º

Rate of change:

18º/8 = 2.25º

The rate of change is of 2.25 degrees per hour.

Answer: [tex]f(t)=550t[/tex]

Step-by-step explanation:

Given

Distance between Toronto to Dallas is 1200 miles

speed of the plane is 550 mph

We know, [tex]distance=speed\timestime[/tex]

for any time t, distance is given by

[tex]distance=f(t)=550\times t[/tex]

where t is hours

for [tex]t=0,f(t)=0[/tex] i.e. plane is at Dallas at 2 pm

time taken to reach dallas is [tex]\dfrac{1200}{550}=2.18\ \text{hr}[/tex]

Answer:

The answer is 2

Step-by-step explanation:

Let the number be x

10 - (3 + x) = 5

10 - 3 -x = 5

7 - x = 5

x = 7-5

x = 2

Answer:

(-4,-10) and (5,-3)

Step-by-step explanation:

To be honest, this kind of question allows for any coordinates as long as they have the slope of 9/7.

I know the slope equation is (y2-y1)/(x2-x1) = m (where m is slope)

(y2-y1)/(x2-x1) = 9/7

From this equation, find any two numbers that have a difference of 9 to the y-coordinates.

I'll go with 5 and -4 (y-coordinates)

And two integers that have a difference of 7 for the x-coordinates.

I go with -3 and -10 (x- coordinates)

So the points I got are,

(5-(-4))/((-3)-(-10)) = 9/7

5-(-4) is equal to 5+4 (2 minus signs are equal to 1 plus sign), which is 9.

(-3)-(-10) is equal to -3+10 (2 minus signs are equal to 1 plus sign), which is 7.

The two points are (-4,-10) and (5,-3)

Notice if we were to subtract 5 from -4, we would also have to subtract -3 from -10.

-4-5= -9 and -10- -3 = -10+3 = -7

-9/-7 is the same as 9/7.

Basically, (-4,-10) and (5,-3) are different coordinates and you can only switch them as coordinate 1 or 2 but not the points.

Sorry, took a while, hope I was able to help! Good Luck.

Answer:

How many students are NOT in advanced math? 250 students...

Answer:

First one is 6 16/21

Second one is 3 14/15

Step-by-step explanation:

Answer:

50000 km per cm I think

Step-by-step explanation:

Answer:

5km to 1cm, (50000:1, if converted to centimeters).

Step-by-step explanation:

Answer:

B. It describes the distance between 6 and -6 on the number line. (wrong)

Step-by-step explanation:

Answer: 6 or 20 would be the amount. (if there was only one, then i revise this.)

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

Metals which react with steam form the solid metal oxide and hydrogen gas.

In general, the more reactive the metal, the more rapid the reaction. Aluminium is unusual, because it is a reactive metal that does not react with water. Its surface forms a protective layer of aluminium oxide that keeps water away from the metal below.

The apparatus used to react a metal with steam and collect the gas produced is shown below.

Answer:

This is because some metals like aluminium, zinc, iron do not react with hot/cold water ; they react only with steam to form a metal oxide and hydrogen.

Step-by-step explanation:

Answer:

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that mean of the Population = 5.9pounds/square inch

Given mean of the sample = 6.0pounds/square inch

Given that variance of the Population = 0.36

The standard deviation of the Population = √0.36 =0.6

critical value (Z₀.₀₅)= 1.96

Step(ii):-

Null Hypothesis:H₀: x⁻ = μ

Alternative Hypothesis:H₁:  x⁻ ≠ μ

Test statistic

              [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

               [tex]Z = \frac{6.0-5.9 }{\frac{0.6}{\sqrt{160} } }[/tex]

              Z  =  2.1097

Final answer:-

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

C.) 4 Hours, $60 Hope this helps!!!

Answer:

OMG I see that BTS sticker on your laptop--

Step-by-step explanation:

Answer:

-10.4 is the answer from my side

Answer:

20

Step-by-step explanation:

2/3 of 30 is 20

Answer:

868x

Step-by-step explanation: