what is the value of this expresston 3(s^3-6s) + 4t^2 when s=5 and t=3

 CD is 11 square root of 14.  

The measure of the side length CD in the given right angled triangle as per the measurements is equal to option C. 11√14 .

In right triangle ABE,

Measure of angle ABE = 90 degrees

Measure of angle AEB = 60 degrees

AB = 11√7

Using trigonometric ratio we have,

tan 60° = AB / BE

⇒ √3 = 11√7 / BE

⇒ BE = 11√7 / √3

⇒BE = 11√21 / 3

In right triangle BED,

Measure of angle BED = 90 degrees

Measure of angle EBD= 45°

⇒Measure of angle EDB= 45°

BE ≅ ED

BE = 11√21 / 3

⇒ED = 11√21 / 3

Using Pythagoras theorem,

BD² = BE² + ED²

⇒BD = √ 2 (11√21 / 3 )²

⇒BD = 11√21 / 3 × √2

⇒ BD = 11√42 / 3

In right triangle CDB,

Measure of ∠CDB = 90°

Measure of ∠DCB = 30°

tan 30° = BD / CD

⇒ ( 1/ √3) = 11√42 / 3 / CD

⇒ CD =  [11√42 / 3 ] × √3

⇒ CD = 11√14

Therefore, the length of the side CD in the triangle is equal to option C. 11√14 .

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Answer:

5/36

Step-by-step explanation:

First you need to find the "reciprocal" (the opposite, so the numbers switched around) of the second number, which is 3. In turn, the 3 would become 1/3. Then just multiply the two fractions which is 5/12 x 1/3 = 5/36.

Answer:

5/12 ÷3

Reciprocate

5/12× 1/3

=5/36

Answer:

B

Step-by-step explanation:

A. 2L, 2.9L, 2.5L, 2.4L

B. 2L, 2.4L, 2.5L, 2.9L

C. 2.9L, 2.5L, 2L, 2.4L

D. 2.9L, 2L, 2.5L, 2.4L

Answer:

what is in order from least to greatest is B

Step-by-step explanation:

as we know 1L = 10dL = 100cL = 1000mL so that we have 2L then 24dL (2.4L) then 250cL (2.5L) then 2900mL (29L)

Answer:

b

Step-by-step explanation:

Answer:a81

b4

Step-by-step explanation:

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

x changes by -22 (from 19 to -3)

y changes by +13 (from -4 to 9)

the slope is +13/-22 = -13/22

Answer:

$1.29

u divide 15.48 by 12. trust

Answer:

1152 diapers are needed

Step-by-step explanation:

2 dozen babies is equall to 24 babies

-(1 dozen is 12 babies)

If 24 babies need a package of diapers which includes 48 diapers, we need to multiply 24x48 which equals 1152 diapers

Answer:1152

Step-by-step explanation:1 DOZEN MEANS 12 SO 2 DOZEN IS 12*2WHICH IS 24

NUMBER OF DIPER A BABY WOULD NEED  IS 48

NUMBER OF BABIES IS 12*2 =24

THEREFORE IF 24 BABIES EACH WOULD REQUIRE A CONTAINER WITH 48 DIPERS TOTAL NUMBER OF DIPERS NEEDED IS 24*48 WHICH IS 1152

Answer:

301.75$

Step-by-step explanation:

have a good day

Answer:

1.2 degree Fahrenheit per minute.

per minute.

Step-by-step explanation:

We are supposed to find the unit rate for 15.6°F in 13 minutes.

To find the unit rate for our given scenario, we will divide 15.6 by 13 as:

Therefore, our required unit rate would be 1.2 degree Fahrenheit per minute.

Answer:

[tex]3 \frac{3}{7} \\ = \frac{24}{7} \\ [/tex]

[tex]The \: reciprocal \: of \: \frac{24}{7} = \frac{7}{21} .[/tex]

Answer:

I can't explain this discrepancy other than to suggest that they are talking about 2 different groups.  The boss has included his salary in the average, but the employee is only concerned about the wage of the average worker.

Step-by-step explanation:

Answer:

D. 10 3/8

Step-by-step explanation:

First make them into a improper fraction

[tex]\frac{29}{8} +\frac{27}{4}[/tex]

Find the lowest common denominator:

[tex]\frac{29}{8} +\frac{27*2}{4*2}[/tex]

Multiply the denominators:

[tex]\frac{29}{8} +\frac{27*2}{8}[/tex]

Multiply the numerators:

[tex]\frac{29}{8} +\frac{54}{8}[/tex]

Combine the fractions:

[tex]\frac{(29+54)}{8}[/tex]

Combine the numerators:

[tex]\frac{83}{8}[/tex]

=

[tex]10\frac{3}{8}[/tex]

Hence, D. 10 3/8 is the Correct answer.

Answer:

-3

Step-by-step explanation:

-3 would eliminate the y so you would solve for x.

Leave a comment if this doesn't make sense ;)

Answer:

No, they will need an additional £34 to stay the planned 10 nights.  

Step-by-step explanation:

Attached screenshot of a spreadsheet.

The cost for 10 nights for the 2 people is £100.

The tent site rental (over 10m^2) for 10 nights is £150.

Savings for the two over the 9 weeks is £216.

They will need an additional £34 to camp as planned.  

I suggest fibbing about the extra 0.5m^2 needed for the tent site.  That will reduce the bill by £30, so they are only £4 short.  Time to make a couple of friends.

Answer:

thats really great! its simple!

Great! How about your question?

Answer:

No

Step-by-step explanation:

54,450

Digit in tens place = 5

value = 50

54,450

Digit in hundreds place = 4

value = 400

1/10 value = 40

No  the digit in the tens place is more than 1/10 the value of the digit in the hundreds place

50 is greater than 40

Answer:

11

Step-by-step explanation:

Plug in - 2 for X and solve

Y= -3(-2) + 5

Answer:

11

Step-by-step explanation:

-3 (-2) + 5=

6 + 5= 11

You gotta exchange the (x) for -2

Answer:

C

Step-by-step explanation:

AB and GH

Answer:

(12+20)x=240

Step-by-step explanation:

x=number of hours

If she earns $12 per hour and a $20 bonus you divide that from 240 to get the number of hours she worked.

Hope this helps :)

Answer:

47. 1  5/8

48. 1  1/12

Step-by-step explanation:

47.

First, convert the denominators to be the same.

8  1/2 minutes, Ruby's mile time, can be converted to 8  4/8.

Then subtract.

8  4/8 - 6  7/8  = 1  5/8

48.

Make sure the denominators are the same. Both denominators can be multiplied by 3 or 4 to become 12.

1  1/4 can be multiplied by 3 to get 1  3/12. And 1  1/3 can be multiplied by 4 to get  2  4/12.

Then subtract.

2  4/12 - 1  1/3 = 1  1/12

Answer:

(-2,0) and (2,0)

Step-by-step explanation:

The x-intercepts are where the parabola touches the x-axis (aka when y is 0).

Answer:

Step-by-step explanation:

Area = 88 sq.cm

length * width = 88

(2x + 1)(x + 3)  = 88

2x*(x +3) + 1*(x + 3) = 88

2x*x + 2x*3 + x + 3= 88

2x² + 6x + x + 3 = 88

2x² + 7x + 3 - 88 = 0

2x² + 7x - 85 = 0

2x² - 10x + 17x - 85 = 0

2x(x - 5) + 17(x - 5) =0

(x - 5)(2x + 17 )= 0

x - 5 = 0      {Ignore 2x +17 = 0 as it gives a negative value}

x = 5

b) length = 2x + 1 = 2*5 + 1 = 10 +1 = 11 cm

breadth = x+ 3 = 5 + 3 = 8 cm

Perimeter = 2*(length +breadth}

                = 2* (11 + 8)

                = 2 * 19

               = 38 cm

Answer:

yes it is correct

Step-by-step explanation:

Answer:

225 is a greatest perfect square that is a factor of 4725 .54 views

Answer:

1,2,4,

Step-by-step explanation:

Answer:

48=2^4x3

Step-by-step explanation:

48=2x2x2x2x3

48=2^4x3

Hope this helps :)

Step-by-step explanation:

An expression obtained from the square of a binomial equation is a perfect square trinomial. An expression is said to a perfect square trinomial if it takes the form ax2 + bx + c and satisfies the condition b2 = 4ac. The perfect square formula takes the following forms: (ax)2 + 2abx + b2 = (ax + b)

Answer:

x2 − 4x + 4

x2 + 10x + 25

Step-by-step explanation:

there are 9∗9∗8 three digit numbers where all digits are different so 1000−9∗9∗8 which have at least two digits that are the same and then there are 9 numbers which have exactly three same digits so the number of three digit numbers where exactly two digits are the same is 1000−9∗9∗8−9=343.Answer:

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Multiply everything in the bracket by -2 and combine like terms

Answer:

It's B

Step-by-step explanation: