What is the circumference of the circle shown in terms of pi?

Answer:

44.415 degrees

Step-by-step explanation:

find the third side

49 - 25 = 24

square root of 24 =

2√6

law of cosines

missing angle = arccos ((a^2+b^2-c^2)/2ab))

Answer:

Step-by-step explanation:

We know that all angles are equal to 180.

The angle right next to the letter see is a Right Angle that equals 90 degrees.

To find the sum of angle A, we have to do some simple math.

180-90= 90

Then we have two angles left. We have to divide 90 in half.

90/2= 45

then to check your work: 90+45+45= 180

So angle A is 45 degrees.

Answer:

18  miles/hr

Step-by-step explanation:

Mean speed is average speed

is  m/ hr    =   57.6 m /3.2 = 18 miles/hr

Answer:

18

Step-by-step explanation:

The probability of P (pass | afternoon) is 0.37 and the probability of P(pass | afternoon) is 0.71 and the probability of P (pass | afternoon) has greater chance of passing it than the probability of P (pass | afternoon)

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

From the data given:

P(pass | Morning) = 28/75 = 0.37

P(pass | afternoon) = 53/75 = 0.706 ≈ 0.71

Thus, the probability of P(pass | afternoon) has greater chance of passing it than the probability of P(pass | afternoon).

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Answer:

See below for all information

Step-by-step explanation:

Given Information

Null and Alternate Hypotheses

Determine z-statistic

[tex]\displaystyle Z=\frac{p-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}=\frac{\frac{33}{362}-0.10 }{\sqrt{\frac{0.10(1-0.10)}{362}}}\approx-0.5606[/tex]

Determine p-value from z-statistic

[tex]2\cdot P(Z < -0.5606)=2\cdot\text{normalcdf}(-1E99,-0.5606)\approx2\cdot0.28753\approx0.5751[/tex]

Draw conclusion of p-value based on given significance level

Since [tex]p > 0.05[/tex], we fail to reject the null hypothesis. This means that we do have sufficient evidence to say that the observed rate of inaccurate orders is equal to 10%, making it extremely likely that the null hypothesis is true.

Answer:

Step-by-step explanation:

in standard form it is

5x - y = 8

Answer:

x=-108117

Step-by-step explanation:

108105-2+1(2x+10)=1(x-4)

108113+2x=x-4

2x-x=-4-108113

x=-108117

Answer:

B.

Step-by-step explanation:

Plug in those x and y values into your equations.

(x, y) = (5, 1)

2x + 5y = 15

2(5) + 5(1) = 15

10 + 5 = 15

5x + 10y = 35

5(5) + 10(1) = 35

25 + 10 = 35

This proves those values are true. So the answer is B.

Answer:

d this is the answer that I got sorry if its wrong

The function that has the same minimum value as fx= 3x³ is f(x) = x + 3.

It should be noted that a function simply means a relation or expression that involves two or more variables.

In this case, the function that has the same minimum value as the expression of 3x³ is f = x + 3.

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Answer:b

Step-by-step explanation:

Answer:

sqrt (98)

Step-by-step explanation:

The two 45 degree angles result in equal length legs in this right triangle ..

 use pythagorean theorem

7^2 + 7^2 = p^2

sqrt (98) = p  

Answer:

A

Step-by-step explanation:

(5,2)

(5+1,2-1)

(6,1)

Dilation of 2 from origin

6x2=12

1x2=2

(12,2)

a_n=224(1/2)^n-1

Step-by-step explanation:

this is the sum

hope you understand

Answer:

B (1, 5)

Step-by-step explanation:

When a point is reflected over an axis, the coordinate which corresponds to that axis does not change. The other coordinate becomes negative with respect to the current value.

Hence, since the y-axis is mentioned, the y-coordinate does not change and the x-coordinate becomes negative.

Answer:   The answer i "B"

Step-by-step explanation:   No need for a long explanation im sure of it the answer is surely, B

Answer:

Step-by-step explanation:

We have 9 choices for Choosing the first object

              8 choices for Choosing the 2nd object

              .

              .

              .

             3 choices for Choosing the seventh object

Therefore if we want to choose7 objects without replacement from 9 objects we have : 9×8×7×6×5×4×3 = 181 440

Also ,we can calculate it this way :

9P7 = 181 440

Answer:

SA = 2,400 cm²

Step-by-step explanation:

Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)

SA = 2(lw) + 2(wh) + 2(hl)

Substitute the values above and multiply:

SA = 2(lw) + 2(wh) + 2(hl)

SA = 2(20)(20) + 2(20)(20) + 2(20)(20)

SA = 2(400) + 2(400) + 2(400)

SA = 800 + 800 + 800

SA = 2,400 cm²

Final answer: 2,400 cm²

Hope this helps!

================================

[tex] \large \sf \underline{Direction:}[/tex]

================================

[tex] \large \sf \underline{Answer:}[/tex]

[tex] \qquad \qquad \huge \bold{2,400cm^{2} }[/tex]

================================

[tex] \large \sf \underline{Solution:}[/tex]

[tex] :\sf{SA=2(lw)+2(wh)+2(hl)}[/tex]

[tex]:\sf{SA=2(20)(20)+2(20)(20)+2(20)(20)}[/tex]

[tex]:\sf{SA=2(400)+2(400)+2(400)}[/tex]

[tex]:\sf{SA=800+800+800}[/tex]

[tex]\therefore\sf\underline{SA = \pmb{2,400cm^{2} }}[/tex]

Hence, the surface area that you are looking for is 2, 400cm².

================================

Answer:

2(y+4)=4y

2y+8=4y

8=4y-2y

8÷2=y

4=y

Therefore y =4

Answer:

Step-by-step explanation:

When looking for patterns in a sequence, it is useful to look at differences, ratios, and differences of differences. Here, the terms have a common ratio:

  405/-1215 = -135/405 = 45/-135 = -15/45 = -1/3

__

For this sequence, each number is -1/3 times the previous number.

The next number is (-15)(-1/3) = 5.

Answer: 20.4 feet

Step-by-step explanation:

(image attached for reference)

To find how high the ladder reaches on the wall, first find the relationship between the angle and the wall. The wall is opposite to the angle, so it's possible to solve this equation using sin(58). Sine equals opposite over hypotenuse so sin(58) = x/24. Multiply 24 on both sides to get an equation that can be plugged into a calculator of 24sin(58) = x.

24sin(58) = 20.35, which gets rounded up to a final answer of 20.4 feet.

By finding the equations for the length of the candles as a function of time, we will see that the answer is 3.27 hours.

Here we assume that:

Both candles have the same original length L, and both decrease a constant rate.

Candle 1 is consumed in 6 hours, so it is consumed at a rate of:

L/6h.

This means that after a time t in hours, the length of candle 1 is:

L₁(t) = L - (L/6h)*t

For candle 2, the rate is:

L/9h

And the function for the length of candle 2 is:

L₂(t) = L - (L/9h)*t

Now we want to find the value of t such that:

L₂(t) = 3*L₁(t)

So we just solve:

L - (L/9h)*t = 3*(L - (L/6h)*t)

L - (L/9h)*t = 3L - (L/2h)*t

(L/2h)*t -  (L/9h)*t = 3L - L = 2L

(5.5L/9h)*t = 2L

t = 2*(9h/5.5) = 3.27 h

After 3.27 hours, candle 2 will have 3 times the wax that candle 1 has.

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Answer:

4/11

Step-by-step explanation:

a ratio is a fraction:

a:b or a to b

= a/b

so 12:33

= 12/33, which can be reduced to 4/11 when dividing the numerator and denominator by 3

Answer:

[tex]29.4\ cm^3[/tex]

Step-by-step explanation:

b = 4 × 3.5 = 14 cm²

h = 2,1 cm

then

[tex]V=b\times h[/tex]

   [tex]=14\times2.1[/tex]

   [tex]=29.4\ cm^3[/tex]

Step-by-step explanation:

The length of the rectangle is 4cm and the width is 3.5cm

The area of the rectangle is A = lw

The base area is 4 x 3.5 or 14cm squared

The height is 2.1cm

Substitute 14 for B and 2.1 for h

V = Bh

V = (14)(2.1)

=29.4

Therefore the volume of the prism is 29.4 cubic centimetres

Answer:

mean: $13.50

median: $11

mode: $10

range: $26

hope this helps:)

Answer:

The mean is 13.5, median is 11, mode is 10, and for the range, it's 26

Step-by-step explanation:

For the mean, you add all the numbers up 4+30+10+12+10+20+12+10 = 108. Then you divide by how many terms there are which is 8 and then you get 13.5.

The median is the middle value in a list ordered from smallest to largest. So that is why you get 11.

The mode is the most frequently occurring value on the list and we can tell that 10 is the most occuring in this list.

Finally we have the range. To find the range you subtract the highest amount to the lowest amount. 30 - 4 = 26.

Answer:

15.945°

Step-by-step explanation:

tan A = opp/adj

You are correct to use the tangent function.

You are also correct in writing

tan (B) = 2/7

You are not finding the tangent of a degree angle measure.

You are doing the opposite. You know what the tangent of an angle equals, and you need to find out the angle measure.

For that, you need to do the inverse tangent.

If you have a calculator, divide 2 by 7.

Then press the second function key followed by the tangent key.

The tangent key has "tan".

The second function on the tangent key is the inverse tangent, and its symbol is [tex] \tan^{-1} [/tex].

In this case, the exponent -1 is not really an exponent. It really is function notation for the inverse function.

[tex] \tan^{-1} \dfrac{2}{7} = 15.945^\circ [/tex]

Answer:

pair 1:  (0, - 24)

pair 2: (1, -12)

Step-by-step explanation:

y = 12x − 24

A pair of values that make the linear equation true:

the easiest value is always 0!!

if x = 0 than plug it in to find y

y = 12(0) − 24 → y = -24

so the pair is (0, - 24)

if x = 1 than plug it in to find y

y = 12(1) − 24 → y = 12 - 24

so the pair is (1, -12)