Work out the value of the missing angle x.

Answer:

The circumference is 26.38 yards

Step-by-step explanation:

The formula for finding the circumference of a circle is 2π(r). 2 times pi times the radius. We see that the radius is 4.2 yards, so we plug 4.2 into the variable labeled "r"

2 (3.14) (4.2) = 26.376

26.376 rounded to the hundredths place is 26.38

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Answer is in attachment ; let me know if you have any doubts

Answer:

When the selling price and the cost price of a product is given, the profit can be calculated using the formula, Profit = Selling Price - Cost Price. After this, the profit percentage formula that is used is, Profit percentage = (Profit/Cost Price) × 100.

Step-by-step explanation:

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Answer:

5

Step-by-step explanation:

like i dont know probably 5 its kinda weird. it definitely has to be 5

The function of the number of penguins is an exponential function

The penguins are going to find a new home in 2015

The equation of the function is given as:

[tex]P(t) = 24(1.231)^t[/tex]

When there are 70 penguins, the equation becomes

[tex]24(1.231)^t =70[/tex]

Divide both sides by 24

[tex]1.231^t =2.917[/tex]

Take the logarithm of both sides

[tex]t\log(1.231) =\log(2.917)[/tex]

Divide both sides by log(1.231)

[tex]t =5[/tex]

The time is 5 years from 2010.

So, we have

Year = 2010 + 5

Year = 2015

Hence, the penguins are going to find a new home in 2015

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Answer:

1 is the answer. Have a great day!!!

Answer:

1

Step-by-step explanation:

You can only split it diagonally without unevenly splitting it.

Answer: 113.04 ft

Step-by-step explanation:

C = 2πrC = 2x18x3.14

C=113.04

Answer:

18 Answer

Step-by-step explanation:

.: PQ +RQ

= 7+11

= 18

Answer:

30°

Step-by-step explanation:

y+30° +4y =180° (angles on a straight line equal 180°)

5y+30° =180°

5y= 180° - 30°

5y = 150°

divide both sides by 5

5y/5 = 150/5

y= 30°

Answer:

12

Step-by-step explanation:

3 person, devide total budget by 5, each person's share would be £12

we know angles A and B are supplementary, thus their sum is 180°.

[tex]\stackrel{\measuredangle A}{(2x+26)}~~ + ~~\stackrel{\measuredangle B}{(x+25)}~~ = ~~180\implies 3x+51=180\implies 3x=129\\\\\\x=\cfrac{129}{3}\implies x=43~\hspace{10em}\stackrel{\measuredangle B = 43 + 25}{68}[/tex]

The measure of angle m∠B = 112°

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles. There are two types of supplementary angles.

Supplementary angles have a sum of 180°

Therefore, we can add the expressions for Angles A and B and set their sum equal to 180.

( 2x+26 ) + ( x+25 ) = 180

Now we can combine like terms and apply the operations to find the value of x:

⇒ ( 2x+26 ) + ( x+25 ) = 180

⇒ 3x + 51 = 180

⇒ 3x  = 180 - 51

⇒ 3x  = 129

⇒ x = 129/3

⇒ x = 43

Then Angle B will have a measure of x+25 = 43 + 25 = 68°

m∠ B = 112°

The measure of Angle A will be :2x+26  = 2(43) + 26 = 112°

m∠A = 68°

Thus, the measure of angle m∠B = 112°

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Answer:

A) negative strong correlation B ) negative weak correlation C) no relationship

Step-by-step explanation:

draw a line if these points gather around a line there is a relationship . since the slope will be negative by drawing a straight . Line in the A and B graphs , we according to the will see if it is week and strong according point distribution that will have a negative correlation .C for ) dots scattered no relationship

Answer: 252

Step-by-step explanation:

Answer:

area=length x breath

length(L)=21

Breath(B)=12

area(A)=L×B

21×12=252

Answer:

7 and 9

Step-by-step explanation:

both 7 and 9 occur 3 times in this sequence of numerals, thus resulting in a bimodal solution

The value of the quotient of 360 divided by 9 is 40.

One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.

Given:

A phrase: 360 divided by 9.

To find the quotient:

360 divided by 9;

360 ÷ 9,

Here,

The factors of 360 = 2 x 3 x 3 x 3 x 3 x 5

And the factors of 9 = 3 x 3.

The GCF of 360 and 9 is 9.

So, the quotient will be a whole number.

360/9

= 40

Therefore, the value of the quotient is 40.

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The difference between the volumes is 79.55 cubic inches.

The volume of a sphere of radius R is:

[tex]V = (4/3)*3.14*R^3[/tex]

Here we have two spheres, the larger has a diameter of 6 inches, so its radius is:

R = 6in/2 = 3in

The smaller ball has a radius of 2 in.

Then the difference between the volumes is:

[tex]V = (4/3)*3.14*( (3in)^3 - (2in)^3) = 79.55 in^3[/tex]

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Answer:

C

Step-by-step explanation:

291.34 - 200.74 is 90.60. 90.60/30.20 = 3.

Step-by-step explanation:

she painted half of the still to be painted area.

after the first weekend there were 800 of 1600 ft² painted, and therefore 1600 - 800 = 800 ft² left to be painted.

on the second weekend she then painted half of that :

800 / 2.

that means she painted 800/2 = 400 ft², and that left 800 - 400 = 400 ft² to be painted on the following weekends.

if we look in detail, we find the starting 800 ft² of the second weekend are already the result of the first weekend.

800 = 1600 / 2

so,

800 / 2 = 1600 / 2 / 2 = 1600 / 2² = 1600 / 4.

and the same principle goes on weekend after weekend.

therefore, the expression for the nth weekend could be

1600 × (1/2)^n ft²

that means, she painted

on the 1st weekend : 1600 × 1/2 = 800 ft²

on the 2nd weekend : 1600 × 1/4 = 400 ft²

on the 3rd weekend : 1600 × 1/8 = 200 ft²

on the 4th weekend : 1600 × 1/16 = 100 ft²

...

that also means : she will never be finished, as she always paints only half of what is still left open, and that leaves always some part open. it will be tinier and tinier over time, but never 0.

Answer:

n= -6, a= 5

Step-by-step explanation:

Label the two equations:

a= -2n -7 -----(1)

-3a +n= -21 -----(2)

Substitute (1) into (2):

-3(-2n -7) +n= -21

Expand:

-3(-2n) -3(-7) +n= -21

6n +21 +n= -21

Simplify, minus 21 on both sides:

7n= -21 -21

7n= -42

Divide both sides by 7:

n= -42 ÷7

n= -6

Substitute n= -6 into (1):

a= -2(-6) -7

a= 12 -7

a= 5

Answer:

that is the correct answer

Check the picture below.

Answer:

What do you mean why are you tripping out.

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

as x+y is 180

- x-y is 18

2x is 198

x is 99

180-99 is 81

The given equation have infinitely solution.

we have given that equation 4x=4x

Zero solution:-No solution would mean that there is no answer to the equation

One solution:-There is only one value for the variable that makes the equation true.

Two solution:-A quadratic equation with real or complex coefficients has two solutions, called roots. These two solutions may or may not be distinct, and they may or may not be real.

infinitely solution:- Infinite solutions would mean that any value for the variable would make the equation true.(x=x)

Given equation have infinitely many solution because there are so many different ways that can be found.

Therefore we have the given equation have infinitely solution

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Answer:

B. 1 1/2

Step-by-step explanation:

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Explanation:

Divide the horizontal sides to get

image/preimage = B'C'/BC = 15/10 = 1.5 = 1 & 1/2

This says that the larger image's side lengths are 1.5 = 1 & 1/2 times that of the corresponding preimage side lengths.

Answer:

96%

Step-by-step explanation:

he rigth equation to anticipate the profit after t years is p(t) = 10,000 (1.075)^t

So, given that both

store A and store B follow the same equations but t is different for them, you can right: Store A: pA (t)  10,000 (1.075)^t

Store B: pB(t'): 10,000 (1.075)^t'

=> pA(t) / pB(t') = 1.075^t / 1.075^t'

=> pA(t) / pB(t') = 1.075 ^ (t - t')

And t - t' = 0.5 years

=> pA(t) / pB(t') = 1.075 ^ (0.5) = 1.0368

or pB(t') / pA(t) = 1.075^(-0.5) = 0.964

=> pB(t') ≈ 0.96 * pA(t)

This means that the profit of store B is about 96%of  the profit of store A at any time after both stores have opened.

If the function is translated 4.5 units to the left to createe the graph of function g(x), hence the resuting function will be g(x) = (x + 4.5)^2

Given the function expressed as
f(x) = x^2

If the function is translated 4.5 units to the left to createe the graph of function g(x), hence the resuting function will be:

g(x) = (x + 4.5)^2

Note that translation to the left means addition of the factor

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Answe

Step-by-step explanation:

q

The margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.

The margin of error can be defined as the amount of random sampling error in the results of a survey. It is given by the formula,

[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}[/tex]

[tex]\text{MOE}[/tex] = margin of error

[tex]\gamma[/tex] = confidence level

[tex]z_{\gamma}[/tex] = quantile

σ = standard deviation

n = sample size

As it is given that the sample size of the survey is 324, while the standard deviation of the survey is 1.6.

We know that the value of the z for 95% confidence interval is 1.96. Therefore, using the formula of the standard of error we can write it as,

[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\dfrac{\sigma^{2}}{n}}\\\\\text{MOE}_{\gamma}=1.96 \times \sqrt{\dfrac{1.6^{2}}{324}}\\\\\text{MOE}_{\gamma}=0.1742[/tex]

Hence, the margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.

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