The diagram shows a circle inside a square (16cm)
work out the area of the circle ​

Answer:

x = 60°, y = 78°, z = 29°.

Step-by-step explanation:

(x). Alternate exterior angles are congruent, so ∠OSP ≅∠HJP, and ∠OSP measures x°. Of the given information, we know ∠HJP = 60°.

(y). Vertical angles are congruent, so: ∠OPS ≅∠JPH, and in the diagram ∠OPS measures y°. To find ∠JPH, subtract the other angle measures in this triangle within the quadrilateral. This is represented by: 180 - (60+42) = 78°.

(z). Similar to the first variable's solution, z is the measure of ∠SHP, which is congruent to ∠JOP. Of the given information, we know ∠JOP = 29°. z° is the measure of its alternate, so it is congruent.

The value of "t" in the given expression for the velocity of the object moving in the medium is t = u³ + 2.5u² + 2u.

The velocity of the object moving in the medium is given as;

t = ∫(3u² + 5u + 2)du

the value of t is obtained by integrating the function as follows;

t = (3u³)/3 + (5u²)/2 + 2u

t = u³ + 2.5u² + 2u

Thus, the value of "t" in the given expression for the velocity of the object moving in the medium is t = u³ + 2.5u² + 2u.

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Answer:

x2 + y2 = r2, and this is the equation of a circle of radius r whose center is the origin O(0, 0). The equation of a circle of radius r and center the origin is x2 + y2 = r2.

I think this is the answer.

Answer:

4 units ...................

The volume of the given cone.

[tex]\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}[/tex]

[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]

Let's solve!

Substitute the values according to the formula.

[tex]V= \frac{1}{3}×3.14×{3}^{2}×8[/tex]

[tex]\large\boxed{V= 75.36 \: {yd}^{3}}[/tex]

Therefore, the volume of the given cone is 75.36 cubic yards.

Answer: -1

Step-by-step explanation:

[tex]i^{34}=(i^{2})^{17}=(-1)^{17}=\boxed{-1}[/tex]

Answer: 5.5 cm

Step-by-step explanation:

did it

Answer:

3/4

Step-by-step explanation:

I actually took this quiz a day ago!

Answer:

X = 1.4

Step-by-step explanation:

x + 14/x = -9

x + 14 = -9x

x + 9x = -14

10x = -14

X = -14/10

X = -1.4

the answer is A.B

I mean the answer is a and b

Answer:

65 R 1

Step-by-step explanation:

Answer:

-1.25

Step-by-step explanation:

2x - 7 = 3

x = -2y - 2

3 + 7 = 2x

x = 5

5 = -2y - 2

5 = -4y

5 = -4 times y

-

Answer:

46/99

explanation shown in the picture

The equation of the parallel line is: y = 1/2x + 5.

The slope (m) of parallel lines are the same.

Given the equation, y = 1/2x - 7, the slope (m) is 1/2. Therefore, the slope of the line that passes through (-4, 3) would be m = 1/2.

To find the y-intercept (b), substitute m = 1/2 and (x, y) = (-4, 3) into y = mx + b.

3 = 1/2(-4) + b

3 = -2 + b

3 + 2 = b

5 = b

b = 5

Substitute m = 1/2 and b = 5 into y = mx + b:

y = 1/2x + 5

The equation is: y = 1/2x + 5.

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Answer:

x ≤ -9

Step-by-step explanation:

[tex]x+5 < /=-4[/tex]

[tex]x+5-5 < /=-4-5[/tex]

[tex]x < /=-4-5[/tex]

[tex]x < /=-9[/tex]

Answer:

  $225

Step-by-step explanation:

When Mary pays the cost in 12 equal payments, each is 1/12 of the total amount.

__

  1/12 × $2700 = $225

Mary will have to pay $225 each month.

Using it's concept, it is found that there is a 0.8 = 80% probability that the learner is a senior or a male.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 6 + 4 + 5 = 15 students. Of those, there are 6 seniors, and 6 male non-seniors, hence there are 12 desired outcomes, and the probability is given by:

p = 12/15 = 0.8 = 80%.

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"How many sticks of gum can you eat at one time?" is the finest and most right response. Then the correct option is A.

A statistical question is one that may be addressed by gathering data from several sources.

A statistical question is one that may be addressed by gathering data and in which the data is likely to vary. This is not the same as a question with a predetermined response.

The first choice or letter A, "How many sticks of gum can you eat at one time?" is the finest and most right response among the options supplied by your query.

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Answer:

578.2

Step-by-step explanation:

tan(56) = 1.48256096

1.48256096 * 390

578.1987744

CB=578.2m

Answer:

23.1 hours

Step-by-step explanation:

the mean is calculated as

mean = ∑ fx ÷ ∑ f

where x is the midpoint of the time intervals

0 < h ≤ 10 ⇒ x = 5

10 < h ≤ 20 ⇒ x = 15

20 < h ≤ 30 ⇒ x = 25

30 < h ≤ 40 ⇒ x = 35

then

∑ fx = (5 × 5) + (15 × 15) + (50 × 25) + (10 × 35)

       = 25 + 225 + 1250 + 350

       = 1850

∑ f = 5 + 15 + 50 + 10 = 80

then

mean = 1850 ÷ 80 ≈ 23.1 hours (to 1 dp )

Answer:

huhh

Step-by-step explanation:

Using the t-distribution, it is found that the 95% confidence interval for the population mean rating for Miami is (5.73, 6.95).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 50 - 1 = 49 df, is t = 2.0096.

Considering the given sample, the other parameters are given as follows:

[tex]\overline{x} = 6.34, s = 2.16, n = 50[/tex]

Hence, the bounds of the interval are:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 6.34 - 2.0096\frac{2.16}{\sqrt{50}} = 5.73[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 6.34 + 2.0096\frac{2.16}{\sqrt{50}} = 6.95[/tex]

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Answer:

yeah

Step-by-step explanation:

so do 22.5 times 27 and then divide with 43

Answer:

The answer is B

The conversion of 2 liters into millimeters from the information regarding the muffins is 2000ml.

From the information, we are told to convert 2 litres into ml. This will be:

= 1000 × 2

= 2000ml

The number of eggs that will be bought to make 500 muffins will be:

= 500 × 2

= 1000 eggs.

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Answer:

48-29

Step-by-step explanation:

22-3=19, so put on that makes 19.

Answer:

She must win the next 8 consecutive games to get 80% and after that loose the next 12 games to get to 50%.

She has won 8 out of 12 days. Thus, percentage of winning is;

P(winning) = 8/12 * 100%

P(Winning) = 75%

To arrive at 80% winning, it means that the number of extra consecutive games she must win is;

(8 + x)/(12 + x) = 80/100

10(8 + x) = 8(12 + x)

80 + 10x = 96 + 8x

2x = 16

x = 8

Thus, she must win the next 8 consecutive games to get 80%.

For her to get to 50% after that, it means that;

(16 - x)/(20 - x) = 50/100

(16 - x)/(20 - x) = 1/2

2(16 - x) = 20 - x

32 - 2x = 20 - x

x = 12

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Answer:

36

Step-by-step explanation:

possibility of slices of pie is 12/24, = 1/2

78 desserts, how much i expect is slices of pie

78*(1/2) = 36

We should expect about 39 of the next 78 desserts sold to be slices of pie.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Out of 24 desserts sold, 12 were slices of pie.

Therefore, the proportion of slices of pie sold is 12/24 = 1/2.

To estimate the number of slices of pie in the next 78 desserts sold, we can multiply the proportion of slices of the pie by the total number of desserts sold:

(1/2) x 78 = 39

Therefore,

We should expect about 39 of the next 78 desserts sold to be slices of pie.

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