Kailynn has been on a roll, and solving 5 math problems every 2.5 minutes. At this rae, how many problem will she solve in 30 minutes.

Answer:

x = pi/2 and 11pi/6

Step-by-step explanation:

Given the trigonometry expression

cosx (2 sinx+1)=0

This can be written in two forms as;

cosx  = 0 and 2sinx + 1 =  0

If cos x  = 0

x = arccos0

x = 90degrees

x = pi/2

Similarly

2sinx  + 1 = 0

2sinx = -1

sinx = -1/2

sinx  =-0.5

x = aarcsin(-0.5)

x = -30

Since sin is negative in the third and 4th quadrant

x = 270 + 30

x = 330degrees

x = 330pi/180

x = 11pi/6

Answer:

C

Step-by-step explanation:

All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.

Therefore, the decimal number 0.00067 written in scientific notation is 6.7 × 10-4.

Answer:

x=$165.50

Step-by-step explanation

4x+18=$680

680-18=$662

662/4=$165.50

Answer:

16n^2+40n+25

Step-by-step explanation:

Given:

The equation of the circle is:

[tex]x^2+y^2=16[/tex]

To find:

The radius of the circle.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]              ...(i)

Where, (h,k) is the center and r is the radius.

We have,

[tex]x^2+y^2=16[/tex]

In can be written as:

[tex]x^2+y^2=4^2[/tex]                 ...(ii)

On comparing (i) and (ii), we get

[tex]h=0[/tex]

[tex]k=0[/tex]

[tex]r=4[/tex]

Here, the center of the circle is the origin and the radius is equal to 4 units.

Therefore, the radius of the given circle is 4 units.

Answer:

136 ft^2

Step-by-step explanation:

Surface area = 2 [ (l*w) + (l*h) + (w*h) ]

= 2 [ (8*3) + (8*4) + (4*3) ]

= 136 ft^2

60Step-by-step explanation:

Answer:

The number printed in red color = 5

The number printed in silver color = 8

The number printed in blue color = 1

Step-by-step explanation:

P.S - The exact question -

Given - The diagram

To find - The number that represent Red, Silver and Blue color.

Proof -

Let the number printed in red color = r

Let the number printed in silver color = s

Let the number printed in blue color = b

Also,

Given that the equation is -

  b s r

  b s r

+ b s r

= r  r  r

Now,

We have to think of a number that if we add the last digit of the number gives the same last digit.

Bt inspection ,

the number would be 5

Because 5 + 5 + 5 = 15

Lat place of the equation is same

So,

The number printed on red color = 5

⇒r = 5

So, the equation becomes

  b s 5

  b s 5

+ b s 5

= 5  5  5

Now,

We have to think of a number whose last digit add up to 3  + 1 gives the last digit number 5 ( we add 1 because by adding 5 + 5 + 5 , we get 15 so we write the last digit 5 and 1 goes to the remainder and that remainder 1 will add up in the next number addition)(addition rule)

i.e.

s + s + s + 1 = number whose end digit is 5

By inspection,

The number would be 8

because 8 + 8 + 8 + 1 = 25

So,

we get

s = 8

So, the equation becomes

  b  8  5

  b  8  5

+ b  8  5

= 5  5  5

Now,

By same process , we will find the number of blue color

By inspection the number on blue color = 1

∴ we get

The number printed in red color = 5

The number printed in silver color = 8

The number printed in blue color = 1

and the equation is -

  1  8  5

  1  8  5

+ 1  8  5

= 5  5  5

Answer:

25%

Step-by-step explanation:

We can use a proportion to answer this question:

64 represent the 100% of the games

so:

x : 100 = 16 : 64

x = (16*100)/64 = 1600/64 = 25%

Answer:

C:  (0, 5)

Step-by-step explanation:

The x-coordinates are all the same:  0.  In y = 2x + 5, the 2x term would be zero in all those cases, leaving only the y-intercept (5).  

We conclude that the line would pass through (0, 5), which is the y-intercept.

Answer:

1) The vertices of the hyperbola are (-8, -15), (-8, 3)

2) The foci of the hyperbola are (11, -7) or (1, -7)

Step-by-step explanation:

1) The vertices of a hyperbola given in the form [tex]\dfrac{\left (y - k\right)^2}{a^2} -\dfrac{\left (x - h\right)^2}{b^2} = 1[/tex] is (h, k ± a)

Therefore, for the given hyperbola with the following equation;

[tex]\dfrac{\left (y + 6\right)^2}{81} -\dfrac{\left (x + 8\right)^2}{49} = 1[/tex], we have;

[tex]\dfrac{\left (y + 6\right)^2}{9^2} -\dfrac{\left (x + 8\right)^2}{7^2} = 1[/tex]

Therefore the vertices are;

(-8, -6 ± 9) = (-8, -15), (-8, 3)

2) The equation of the given hyperbola is presented as follows;

[tex]\dfrac{\left (x - 6\right)^2}{16} -\dfrac{\left (y + 7\right)^2}{9} = 1[/tex]

The given hyperbola is of the form;

[tex]\dfrac{\left (x - h\right)^2}{a^2} -\dfrac{\left (y - k\right)^2}{b^2} = 1[/tex]

We get;

[tex]\dfrac{\left (x - 6\right)^2}{4^2} -\dfrac{\left (y + 7\right)^2}{3^2} = 1[/tex]

The foci is then (h ± c, k)

Therefore, by comparison, the foci of the given hyperbola is (6 ± c, -7)

Where c² = a² + b²

∴ c² = 4² + 3² = 25

c = √25 = 5

∴ The foci; (6 ± 5, -7) = (11, -7) or (1, -7).

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: x=77

Explanation:

5x/7 - 5 = 50

5x/7 = 55

5x = 385

x = 77

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

5x/7 - 5 = 50

5x/7 = 50+5

5x/7=55

5x=55x7

5x = 385

x=385/5

x=77

Answer:

17

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[4 - (-4)]² + [8 - (-7)]²

√(8)² + (15)²

√64 + 225

√289

=17

Answer:

G

Step-by-step explanation:

Answer:

C :D

Step-by-step explanation:

Answer:

3 3/4 cubic inches

Step-by-step explanation:

2 1/2 × 1 1/2 × 1= 3 3/4

[tex]l*w*h=v[/tex]

Answer:

Horizontal line of symmetry

Vertical line of symmetry

Rotational symmetry

Diagonal line of symmetry  

Step-by-step explanation:

Anwnser 8

Step-by-step explanation:

2,4,6,8,32

[tex] \boxed{(6, -3)} [/tex]

Step-by-step explanation:

Given the ratio 5:3

and Points A and B where A is located at (-6, 3), and B is located at (26, -13).

Let point A be [tex] (x_{1}, y_{1}) [/tex], and let point B be [tex] (x_{2}, y_{2}) [/tex].

(-6, 3) → [tex] (x_{1}, y_{1}) [/tex].

(26, -13) → [tex] (x_{2}, y_{2}) [/tex].

Let 5 be n, and 3 be m.

5:3 → n:m

[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex].

To solve, just substitute these variables into the expressions of these coordinates to get the answer.

[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex] →

[tex] (\frac{(5)x_{1} + (3)x_{2}}{(5)+(3)}, \frac{(5)y_{1} + (3)y_{2}}{(5) + (3)}) [/tex] →

[tex] (\frac{(5)(-6)+ (3)(26)}{(5)+(3)}, \frac{(5)(3)+ (3)(-13)}{(5) + (3)}) [/tex] →

[tex] (\frac{-30 + 78}{8}, \frac{15+ -39}{8}) [/tex] →

[tex] (\frac{78 – 30}{8}, \frac{15 – 39}{8}) [/tex] →

[tex] (\frac{48}{8}, \frac{-24}{8}) [/tex]

→

[tex] (\frac{6}{1}, \frac{-3}{1}) [/tex]

→

[tex] (6, -3) [/tex].

Thus the coordinates of B are:

[tex] \boxed{(6, -3)} [/tex]

Answer:

Step-by-step explanation:

AB:BC::5:3

let the coordinates be (x,y)

[tex]x=\frac{nx1+mx2}{m+n} \\=\frac{3(-6)+5(26)}{5+3} \\=\frac{-18+130}{8} \\=\frac{112}{8} \\=14\\y=\frac{ny1+my2}{m+n} \\=\frac{3(3)+5(3)}{5+3} \\=\frac{9+15}{8} \\=\frac{24}{8} \\=3\\[/tex]

coordinates of B are (14,3)

Hope this help you with this problem!

Answer:

No value because 4π/5 exceeds the domain

Step-by-step explanation:

The domain and range of sin^-1(x) is a domain of [-1,1] and a range of [-π/2,π/2]

Since 4π/5>1, this exceeds the domain and therefore has no value.

Answer:

11) 2 x 3.14 x (19/2)   > (we want to use the radius)

   2 x 3.14 x 9.5 = 59.66

12) 2 x 3.14 x (11/2)    > (we want to use the radius)

     2 x 3.14 x 5.5 = 34.54

     34.54/2 + 11 = 28.27   >(becuase it is only a semicircle)

   the plus 11 is the diameter, because the cirlce is cut in half

Answer:

It is actually called a compass...

Step-by-step explanation:

Answer:

They're called geometrical proportional dividers.

Answer:

Hope this will help you....

Answer: meters: 3 6 9 12

            Millimeters: 6,000 7,000 9,000

Step-by-step explanation:

Your adding by 3 in meters and then after 7,000 you have 9,000 then 10,000

I hope this helped!

Answer: 1: 6, 2: 7, 3: 9000, 4: 10

im sure thats it

Step-by-step explanation:

Answer:

The answer is c

Hope this helped :)

answer is x<8

Step-by-step explanation:

Answer:

Step-by-step explanation:

11)

A= (B x H)/2

A= (2.9x3.2)/2= 4.64cm²

12)

A= (B+b)H /2

A= (12+10)5.6 /2 = 61.6in

Answer:

I think that the answer might be 9.30 for the first one and the second one I think is 670.

Step-by-step explanation:

To find the area, you have to multiply the height and width for the two figures.

3.2 × 2.9 = 9.28

12 × 10 × 5.6 = 672

I think you round those to the nearest tenth. 9.28 would be 9.30 and 672 would be 670. I hope this answers your question.