Which greatest digit should replace n so that the number 342n84 is divisible by 3?

Answer:

The polynomial is positive.

Answer:

(x+3)² + (y-2)² = 16

Step-by-step explanation:

the equation of a circle is

(x-a)² + (y-b)² = r²

with (a,b) being the center, and r the radius.

Answer:

4 sqrt(7)

Step-by-step explanation:

sqrt(112)

We know sqrt(a*b) = sqrt(a) sqrt(b)

Look for perfect squares

sqrt(16*7)

sqrt(16)sqrt(7)

4 sqrt(7)

Answer:

4√7

Step-by-step explanation:

√112

we know that ( a × b) = √a √ b

[tex] \small \sf \: \sqrt{16 \times 7} [/tex]

√16 × √7

4√7

Answer:

[tex]y = \frac{1}{3} x + \frac{5}{3}[/tex]

Step-by-step explanation:

r = 5/(3sinθ-cosθ)

multiply both sides by (3sinθ-cosθ):

r(3sinθ-cosθ) = 5

expand:

3rsinθ-rcosθ = 5

replace rsinθ with y and rcosθ with x:

3y-x = 5

add x to both sides:

3y = x + 5

divide both sides by 3:

y = 1/3x + 5/3

: )

Answer:

x = 18

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(6+x)6 = (8+10)* 8

6*(6+x) = 8(18)

Divide each side by 6

6+x = 8(18)/6

6+x = 8*3

6+x = 24

Subtract 6 from each side

6+x-6 =24-6

x = 18

Answer:

84cm^2

Step-by-step explanation:

The height of the ball after 2 seconds is 100 feet.

A height function exists as a function that quantifies the intricacy of mathematical objects.  The height of an object, h(t), exists defined by the formula [tex]-16 t^{2}[/tex] + vt + h.

Given: Let, the polynomial equation be [tex]-16 t^{2}[/tex] + vt + h

h = 20 ft and v = 72 ft/s

y = [tex]-16 t^{2}[/tex] + 72t + 20

To estimate the height of the ball after 2 seconds

substitute the value of t = 2, then

y = -16 [tex]\times[/tex] 4 + 72 [tex]\times[/tex] 2 + 20

= -64 + 144 + 20

= 100 feet

The height of the ball after 2 seconds is 100 feet.

To learn more about the height of the object

https://brainly.com/question/1509315

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Answer:

[tex]x=4; \ y=\frac{8}{\sqrt{3}}.[/tex]

Step-by-step explanation:

1) in the triangle with the angles 45; 90 and 45°: x=4√2/√2=4;

2) in the triangle with the angles 60; 90 and 30°: y=x/sin60°= 4/(√3/2)=8/√3

Answer:

x = 32 y=[tex]\frac{8}{\sqrt{3} }[/tex]

Step-by-step explanation:

solving for x

take 45 degree as reference angle

using sin rule

sin 45 = opposite / hypotenuse

[tex]\frac{1}{\sqrt{2} } = \frac{x}{4\sqrt{2} }[/tex]

do cross multiplication

[tex]4\sqrt{2} * 1 = x * \sqrt{2}[/tex]

[tex]\frac{4\sqrt{2} }{\sqrt{2} } = x[/tex]

root 2 and root 2 gets cancel.Then ,

x = 4

solving for y

take 60 degree as reference angle

using sin rule

sin 60 = opposite / hypotenuse

[tex]\frac{\sqrt{3} }{2} = \frac{x}{y}[/tex]

just now we found the value of x i.e 4 now substitute the value of x here.

[tex]\frac{\sqrt{3} }{2} = \frac{4}{y}[/tex]

do cross multiplication

[tex]2*4 = y * \sqrt{3}[/tex]

[tex]\frac{8}{\sqrt{3} } = y[/tex]

Answer:

B) 5.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve this for y to determine the slope. Solving for y gets our line into the slope-intercept form, y = mx + b, where the number value of m will be the slope.

-7y = -3x + 10 and

[tex]y=\frac{-3}{-7}x+\frac{10}{-7}[/tex] which simplifies down to

[tex]y=\frac{3}{7}x-\frac{10}{7}[/tex]

The value for m is 3/7 so that is the slope, the first choice given.

Answer:

9.2

Step-by-step explanation:

Using the pythagoras therorem

hyp^2 = opp^2 + adj^2

10^2 = 4^2 _+ x^2

100 = 16 + x^2

x^2 = 100 - 16

x^2  = 84

x = √84

x = 9.2

Hence the value of x is 9.2

Answer:

Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.

Step-by-step explanation:

Using the 2 + (-20) + 8 to describe movement relative to sea level ;

2 can be taken as the starting point, positive values represents elevation above sea level ;

2 can be taken as 2 feet platform above sea level ;

- 20 represents distance dived from platform, negative signifies elevation below sea level ; the distance dived relative to sea level is (-20 + platform height)

(-20 + 2) = - 18

8 feets means a final elevation of 8 above sea level (positive value).

Answer:

D.  -0.07 to nearest hundredth.

Step-by-step explanation:

Applying the Cosine Rule:

11^2 = 7^2 + 8^2 - 2*7*8 cos O

cos O = (11^2 - 7^2 - 8^2) / (-2*7*8)

= 8/-112

= -0.07143.

Answer:

84

Step-by-step explanation:

only three number are a multiple of 14

14 * 5 = 70

14 * 6 = 84

14 * 7 = 98

neither 70 nor 98 is a multiple of 4

only 84 is a multiple of 4, 7 and 14

if u ever need help again, feel free to ask!

Answer:

Step-by-step explanation:

76 km    *     60 min  = 4560/49 km/hr = 93.1

49 min            1 hour

Answer:

the set of possible solutions is the empty set {}.

or, whatever the equations describe is impossible.

or,... there can be many answers, depending on whatever the context of this question is.

Answer:

x= 2

Step-by-step explanation:

Answer:

3x + 4 = 2x + 6

3x +4 - 2x - 6 =0

x - 2 = 0

x = 2

3(2) +4 = 2(2) + 6

6 + 4 = 4 + 6

10 = 10

3x+2=2x+6

subtracting 2 from both sides

3x+2-2=2x+6-2

3x=2x+4

subtracting 2x from both sides

3x-2x=2x-2x+4

x=4

Answer:

2805

Step-by-step explanation:

Each arrangement contains 14 calla lilies, 7 sunflowers, 6 orchids, 84 roses, 12 tulips, 9 geraniums, and 33 lilacs. If there are 17 classrooms in the school, how many flowers will they have to buy in total?

This is calculated as:

17 ( 14 calla lilies+ 7 sunflowers + 6 orchids + 84 roses + 12 tulips + 9 geraniums + 33 lilacs)

= 17 × ( 165 flowers)

= 2805 flower

Answer:

A)

Step-by-step explanation:

slope is the coefficient of the 'x' term and the y-intercept is the constant

Given that 1-5(3+2.3)

follow BODMAS

1-15-11.5

-14-11.5

-25.5

Answer:

23

Step-by-step explanation:

you subtract 50 the max number from 27 the Lowest number

Answer:

19.2

Step-by-step explanation:

(cos^-1)(17/18)

Answer: 192

Step-by-step explanation:

3 x 8 = 24

24 x 8 = 192

Answer:

x=50

Step-by-step explanation:

Since it's a straight line, 3x-20+x=180. 4x=200, x=50

Answer:

- 1

Step-by-step explanation:

[tex]3 + \sqrt{10 - {3}^{2} } - 5 \\ = 3 + \sqrt{10 - 9} - 5 \\ = 3 + \sqrt{1} - 5 \\ = 3 + 1 - 5 \\ = - 1[/tex]

because 3² = 9

and root {1} = 1

Answer:

180

Step-by-step explanation:

 .........................

Answer:

I believe the answer will be 6. Here's why.:

Step-by-step explanation:

The total volume of the rectangle is  24 inches. 4in x 6in= 24 in. Then there is a half semi-circle. So 24/2=12. The circle is called a circumference and since there is a half, that is called a diameter. I am not sure if my reasoing is correct, but I gave it try.

Answer:

x>-1

Step-by-step explanation:

solve this normally like a linear equation

3x + 1 >x-1

collect like terms

3x-x>-1-1

2x>-2

x>-2/2

x>-1