Find the measure of the missing angle. A

Answer:

BC ≈ 14.5 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin65° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{BC}{16}[/tex] ( multiply both sides by 16 )

16 × sin65° = BC , then

BC ≈ 14.5 cm ( to the nearest tenth )

Angle CBD= 81°

I hope it helps you...

Answer:

81

Step-by-step explanation:

∠CBD is the exterior angle of  the ΔABC.

Exterior angle property:

Exterior angle equals the sum of opposite interior angles.

∠CBD = ∠ABC + ∠ACB

           = 53 + 28

           = 81°

Answer:

A spurious correlation wrongly implies a cause and effect between two variables. For example, the number of astronauts dying in spacecraft is directly correlated to seatbelt use in cars: Use your seatbelt and save an astronaut life!

Interesting correlations are easy to find, but many will turn out to be spurious. Three examples are the skirt length theory, the Super Bowl indicator, and a suggested correlation between race and college completion rates.

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

9x5

Answer:

Step-by-step explanation:

5(a-1) -15 = 3(a+2) +4, distribute multiplication over subtraction and addition

5a -5 -15 = 3a +6 + 4, isolate the variable on one side

5a -3a = 6 +4 +5 +15, combine like terms

2a = 30, divide both sides by 2

a= 15

Answer:

x = 11√3

y = 11

Step-by-step explanation:

Let 60 be the reference angle

sin 60 = p/h

√3/2 = x/22

or, 22√3 = 2x

or, x = (22√3)/2

so, x = 11√3

now

[tex]h^2 = p^2 + b^2\\or, 22^2 = (11\sqrt{3} )^2+y^2\\or, 484 = 363 + y^2\\or, 484-363 = y^2\\or, 121 = y^2\\or, \sqrt{121} = y\\so, y = 11[/tex]

Answer:

July 4th will fall on Sunday

The date, July 4 will be Friday, the correct option is D.

Calendars represent an year of 12 months, each month has 30 or 31 days, exceptionally February has 28 days.

If today is Tuesday, May 6,

Every 7th day is going to be a Tuesday .

From May 6 to July 4, the number of days is 59

Hence we divide 59 by 7. Quotient = 8 Remainder = 3

7 x 8 = 56

56 th day is Tuesday

57 th day is Wednesday

58th day vis Thursday

59th day is Friday

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Answer:

a)

(i) 5.8 hours

(ii)  6.5 hours

(iii) 6 hours

(iv) 6 hours

b) 180 hours

Answer:

38

Step-by-step explanation:

Angle 6 is alternate to the angle that is given as 38 degrees because line L is parallel to line M so their measure is equal.

Answer:

G = Fr² / Mm

Step-by-step explanation:

Given:

F = GMm / r²

Where,

F = Force of the two objects

M = mass of object 1

m = mass of object 2

G = constant

r = distance between the objects

Solve the formula for G.

F = GMm / r²

Cross product

F * r² = GMm

Fr² = GMm

Divide both sides by Mm

G = Fr² / Mm

Answer:

[tex]\mu = 47.17[/tex]

[tex]\sigma = 2.31[/tex]

Step-by-step explanation:

Solving (a): The population mean

This is calculated as:

[tex]\mu = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\mu = \frac{48.2+ 47.8 +45.6 +47.2 +49.3+51.2 +44.2 +45.4 +49.2 +43.6}{10}[/tex]

[tex]\mu = \frac{471.7}{10}[/tex]

[tex]\mu = 47.17[/tex]

Solving (b): The population standard deviation

This is calculated as:

[tex]\sigma = \sqrt{\frac{\sum (x - \mu)^2}{n}}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{(48.2-47.17)^2 + (47.8-47.17)^2 +.........+(43.6-47.17)^2}{10}}[/tex]

[tex]\sigma = \sqrt{\frac{53.521}{10}}[/tex]

[tex]\sigma = \sqrt{5.3521[/tex]

[tex]\sigma = 2.31[/tex]

Let S be the sum. So you have

S = 1 + 2 + 3 + … + 2004 + 2005 + 2006

as well as

S = 2006 + 2005 + 2004 + … + 3 + 2 + 1

Then

2S = (1 + 2006) + (2 + 2005) + … + (2005 + 2) + (2006 + 1)

2S = 2007 + 2007 + … + 2007 + 2007

2S = 2006 × 2007

S = (2006 × 2007)/2

S = 2,013,021

which makes the last two digits 21.

Answer:

6.045 * 10 ^40 ergs

1.8 * 10^-2 mm

Step-by-step explanation:

3.9 ⋅ 10^33 erg per second  * 1.55 * 10 ^7 seconds

3.9 * 1.55  * 10^(33+7)

6.045 * 10 ^40 ergs

Human hair is around .1 mm thick

.1  = 1 * 10 ^ -1

This is closer to 1.8 * 10^-2  

1.8 *10^2 = 180 mm which is too thick  This is approximately 18 cm

Answer:

6.045 * 10 ^40 ergs

1.8 * 10^-2 mm

Step-by-step explanation:

3.9 ⋅ 10^33 erg per second  * 1.55 * 10 ^7 seconds

3.9 * 1.55  * 10^(33+7)

6.045 * 10 ^40 ergs

Human hair is around .1 mm thick

.1  = 1 * 10 ^ -1

This is closer to 1.8 * 10^-2  

1.8 *10^2 = 180 mm which is too thick  This is approximately 18 cm

Step-by-step explanation:

Answer:

8 units

Step-by-step explanation:

Area of a rectangle = Width multiplied by Length

Substitute in all the known numbers into this formula to get

72 = (9) × [tex](2x+4)[/tex]

Solve the equation for x, to find out the length

[tex]9(2x+4)=72[/tex]

[tex]2x+4=72/9[/tex]

[tex]2x+4=8[/tex]

[tex]2x=8-4[/tex]

[tex]2x=4[/tex]

[tex]x=4/2[/tex]

[tex]x=2[/tex]

Length of the rectangle = [tex](2x+4)[/tex]

[tex]2(2)+4[/tex]

[tex]4+4=8[/tex]

Answer:

-1

Step-by-step explanation:

lim x tends to 4 (x^2-9x+20)/(x-4). (x^2-9x+20)(x-4)=x-5.

So the limit is 4-5=-1

Answer:

-10 = x

Step-by-step explanation:

5=7+x/5

Subtract 7 from each side

5-7=7-7+x/5

-2 = x/5

Multiply each side by 5

-2 *5 = x/5 *5

-10 = x

Answer:

Step-by-step explanation:

Hey GurpTheDestoyer! Find the volume of the sphere. Round to the nearest whole number. Radius= 8 what is the volume? The Volume = 2,144.660585 cm3. Hope this helped! <3

Answer:

The "zero" is where it crosses the x axis which is -2 in this graph

Step-by-step explanation:

Answer:

we need to get your brain thinking in this way. that you begin to understand how to do these things.

airways to say that your brain is not working that way, is not a valid excuse. we need to change that. your brain needs to get used to this way of thinking.

so, please, please, PLEASE go through the explanations below and tell me, where exactly in these explanations you stopped understanding what I was saying. so that I can better explain to you what is happening.

1. (0, -2)

2. 4

3. a geometric sequence. the common ratio is -2.0

4. the third option

5. the fourth option

Step-by-step explanation:

1. as x increases, y decreases. until, suddenly after x=0, this tendency reverses, and with increasing x also y increases. so, this is a turning point.

2. look at the line. it only starts with x>0 (it looks like x is around 1).

"input" is all the values of x the function has a defined result for (y = result values).

so, as there is no line for negative x, we can eliminate the first 2 answers.

x=0 is no valid answer either (as mentioned above, the line only starts well after x=0).

in the answer options the only x value having an y value above or below this x value is x=4.

3. look at the difference between 2 numbers next to each other in the sequence.

2.4 to -4.8

-4.8 to 9.6

and so on.

what do we need to do to get from the left to the right ?

we need to multiply by -2.

so, the relationship between "sequence item n" (an) to "sequence item n-1" (an-1) is a ratio, a multiplication factor :

an/an-1 = -2

4. it is completely simple. a function can be many things. on an x/y coordinate grid it can have gaps, it can have sharp direction changes,...

but there us one thing a function can never have : multiple different y values for one x value.

in the first graph x=2 has two different y values (-1 and -3). so, it is not clear what the result for x=2 would be. and that means, it is not a function.

in the second graph x=4 has two different y values.

in the third graph all is OK.

in the fourth graph x=-2 has two different y values.

so, only the third option is a function.

5. this function calculates the height of the thrown rock after t seconds of flight.

therefore, only the fourth answer makes sense.

Step-by-step explanation

They sold $480 of tshirts, the ratio is 480;20, simplified to 24:1.

One shirt is $20, but $4 is the amount taken from 20 for the equipment.

Multiply $24 by the $4 taken for the equipment. (Equals $96)

They make 4/20 (1/5) of the the sales as a profit for equipment.

Multiply 1/5 by 480 and you will get $96 as the club's profits.

I hope this helped ya

The chess club needs 20 T-shirts and 30 baseball caps.

Profit is a term that often refers to the financial gain that a company receives when revenue exceeds costs and expenses. A child at a lemonade stand, for example, spends one quarter to make one cup of lemonade. She then charges $2 for the drink. Her profit on a cup of lemonade is $1.75.

Given :

Total no. of items to be sold = 50

Total profit to be made = $230

Profit on each T-shirt = $4

Profit on each Baseball cap = $5

Let no. of t-shirts be x

Let no. of t-shirts be y

Forming equations according to given problem :

Eq 1 : x + y = 50

Eq 2 : 4x + 5y = 230

Multiplying Eq 1 with 4 we get : 4x + 4y = 200

Subtracting Eq 1 from Eq 2

Solving Eq1 and Eq2 we get x = 20 and y = 30.

Therefore, The chess club needs 20 T- shirts and 30 baseball caps.

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Answer:

[tex]5.06 x 10^{-3}[/tex]

Step-by-step explanation:

Move decimal 3 place to right.

Because the decimal was moved to right, the exponent is negative.

This is equivalent to the fraction 1085/2

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

Explanation:

AP stands for "arithmetic progression", which is another name for "arithmetic sequence"

a1 = -10 is the first term

the 15th term happens when n = 15, so

an = a1 + d*(n-1)

a15 = -10 + d(15-1)

a15 = 14d-10

Set this equal to 11 (the stated 15th term) and solve for d

a15 = 11

14d-10 = 11

14d = 11+10

14d = 21

d = 21/14

d = 3/2

d = 1.5 is the common difference

Let's find the nth term

an = a1 + d(n-1)

an = -10 + 1.5(n-1)

an = -10 + 1.5n - 1.5

an = 1.5n - 11.5

-------------------------------

The last term is 41, so we'll replace the 'an' with that and solve for n

an = 1.5n - 11.5

41 = 1.5n - 11.5

41+11.5 = 1.5n

52.5 = 1.5n

1.5n = 52.5

n = (52.5)/(1.5)

n = 35

So the 35th term is 41.

-------------------------------

We're summing n = 35 terms from a1 = -10 to an = 41

S = sum of the first n terms of arithmetic progression

S = (n/2)*(a1 + an)

S = (35/2)*(-10+41)

S = 542.5

The 35 terms add up to 542.5 which is the final answer

As an improper fraction, this converts to 1085/2

Answer:

D=8

Step-by-step explanation:

normal division rules

33 goes into 47 1 time

then it leaves 17D

if we divide 170 by 33, we get 5 and if we divide 179 by 33, we still get 5. So we have 17D-165. That leaves us with something that you multiply 33 with to have a 2 in the ones place so that you get a remainder of 2. (In order to get 2 in the remainder, we need a 2 in the ones place because 4-2=2. In order to get that we need to see which number multiplied with 33 would get us a number smaller than 179 but also has a 2 in the ones place. Theres only one number and thats 4. 33*4=132. So in order to get only 2 in the remainder, we need the rest to be subtracted. This means that 17D-165=134. This way we can see that D=8

Answer:

4

Step-by-step explanation:

A line with 0 slope is parallel to x axis and it must have the same y coordinates

Answer:

4

Step-by-step explanation:

( 3, b ) and ( - 2, 4 )

x1 y1 x2 y2

Here,

x1 = y1 = 0

x2 = - 2

y2 = 4

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 4 - b ) / ( - 2 - 3 )

0 = ( 4 - b ) / - 5

4 - b = - 5 x 0

4 - b = 0

4 = b

b = 4

Answer:

[tex]{ \tt{ = \frac{ {p}^{2} + 8p + 16 }{ {p}^{2} - 16 } }} \\ \\ = { \tt{ \frac{ {(x + 4)}^{2} }{(x - 4)(x + 4)} }} \\ \\ = { \tt{ \frac{(x + 4)}{(x - 4)} }}[/tex]

Answer: 220 feet tall

Step-by-step explanation:

1. Draw!

2. Use trigonometric ratios to solve for the height (Remember SOH CAH TOA)

Answer:

The building is 220 ft tall

Step-by-step explanation:

Answer:  D) reflection across y = -x

Explanation:

When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).

When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is [tex](x,y) \to (-y,-x)[/tex]

So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).

Similarly, B(1,5) moves to B ' (-5, -1)

Finally, C(6,9) becomes C ' (-9, -6)