In the figure above circles with centre o and o' are externally tangent at P. I f OA= 5 is a tangent to circle centre o', the area of rectangle oklm is Brainly

Answer:

x = 3/2            x = -5/2

Step-by-step explanation:

(2x+3) ^2 - 4(2x+3) - 12 = 0

Let m = 2x+3

m^2 - 4m - 12 = 0

Factor

(m-6) (m+2) = 0

Using the zero product property

m-6 = 0    m+2 =0

m = 6    m = -2

Substitute m = 2x+3 back into the equation

2x+3 = 6        2x+3 = -2

2x = 3            2x = -5

x = 3/2            x = -5/2

Answer:

1. longest

2. smallest

For the triangle mentioned here, the following is what will be obtainable based on the conjecture about relationship between sides and angle measures of a triangle:

Recall the conjecture about the relationship between the sides and angles of a triangle:

Thus, for the triangle mentioned here, the following is what will be obtainable based on the conjecture about relationship between sides and angle measures of a triangle:

Learn more here:

https://brainly.com/question/10695554

Step-by-step explanation:

Is this the one you needed??

Answer:

B. 90 pounds.

Step-by-step explanation:

19 pounds would be too light, 900 pounds would be too heavy, and 9 tons is equal to 18,000 pounds which is wayy too heavy.

Hope this helps!

Answer:

B.

Step-by-step explanation:

[tex](\frac{x}{y} )^{a} = \frac{x^{a}}{y^{a}}[/tex]

[tex](\frac{-11}{14} )^{5} = \frac{(-11)^{5}}{14^{5}}[/tex]

Answer:

Jorge incorrectly applied the multiplication and division properties of equality.

Step-by-step explanation:

D on edg

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

So first rewrite the inside of the parentheses as improper fractions:

[tex]\frac{8}{9}[/tex] ÷ [tex](\frac{25}{4}*\frac{16}{5}-18)[/tex]

Now simplify the inside:

[tex]\frac{8}{9}[/tex] ÷ 2

Which is:

[tex]\frac{8}{18}=\frac{4}{9}[/tex]

Answer:

19.396193043263

Step-by-step explanation:

Answer:

Option B.

Step-by-step explanation:

This question is incomplete; find the complete question with the attachment.

Franco made number of muffins = a dozen

A dozen muffins = 12 muffins

Number of muffins were burned = 2

Remaining muffins = 12 - 2 = 10

Franco served 7 of the remaining non-burned muffins,

Fraction of muffins served = [tex]\frac{7}{10}[/tex]

Remaining muffins = 3

Fraction of remaining muffins = [tex]\frac{3}{10}[/tex]

Fraction of remaining non-burned muffins we can get from,

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

Option B is the correct equation.

Answer:

[tex]3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})[/tex]

Step-by-step explanation:

The general form of a quadratic polynomial is given by:

[tex]ax^2+bx+c[/tex]    (1)

You have the following polynomial:

[tex]3x^2-10x+8[/tex]    (2)

In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:

[tex]x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]    (3)

By comparing the equation (1) with the equation (2) you obtain:

a = 3

b = -10

c = 8

Then, you replace these values in the equation (3):

[tex]x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}[/tex]

Then, the factorization of the polynomial is:

[tex]3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})[/tex]

Answer:

Step-by-step explanation:

ES=√((6+1)²+3²)=√(49+9)=√58

ST=(6-1)=5

TR=5+1=6

IR=√((6-1)²+(3-1)²)=√(25+4)=√29

PI=6+1=7

PE=3+2=5

Perimeter=√58+5+6+√29+7+5=23+√58+√29≈37.68 units

Answer:

B: EF

Step-by-step explanation:

This is a right triangle. In a right triangle there are always 2 legs and 1 hypotenuse. The hypotenuse is the side opposite the right angle and is always the longest side. Therefore, EF is the longest side.

Hope this helps! (Please consider giving brainliest)

Answer:

I think the answer is C. 324 but i'm not sure. lemme know if i'm wrong and what the correct answer is

Step-by-step explanation:

The area of the given Circle C is; 324π

From the attached diagram, we see that;

WX is the radius of circle X and is equal to 8 units

Similarly, ZY is radius of circle Y and is equal to 10 units.

Thus, diameter of circle X = 8 * 2 = 16 units

Diameter of circle Y = 10 * 2 = 20 units

Thus;

Diameter of circle C = 20 + 16 = 36 units

Area of Circle C = π * 36²/4

Area of Circle C = 324π

Read more about Area of circle at; https://brainly.com/question/15673093

Answer:

Step-by-step explanation:

So we need to divide the volume of the cylindrical glasses by the cylindrical jugs to see how many we can fill.

The equation to find the volume of a cylinder is Height*Area of Circle

To find the area of a circle is: [tex]\pi r^{2}[/tex]

In this senario "r" (radius) is 3 (d/2)

Volume for cylindrical glass:

hx[tex]\pi r^{2}[/tex]

= 10x 3.14x 3^2

= 10x3.14x 9

= 282.6[tex]cm^{3}[/tex]

Now for the cylindrical jug:  r= 5 and h=18

hx[tex]\pi r^{2}[/tex]

= 18x3.14x5^2

= 18x3.14x25

= 1413[tex]cm^{3}[/tex]

Now finally we divide them:

1413/282.6

= 5

So they can fill 5 cylindrical glasses :)

Answer:

true

Step-by-step explanation:

they are the same, but they are positioned in other ways and or places

Answer:

True

Step-by-step explanation:

If they are congruent then they have the same side lengths, if they have the same side lengths then they also have the same area and perimeter

Answer:

YZX, YXZ, ZXY, XZY

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

You are correct.

x + m<PQS + m<PSQ = 180

m<PQS = m<QRT = 70

m<QST + m<PSQ = 180

120 + m<PSQ = 180

m<PSQ = 60

x + 70 + 60 = 180

x + 130 = 180

x = 50

Great job!

Answer: 35 / 66

Step-by-step explanation:

Given the data bekow:

Outcome : - - - 1 - - - 2 - - - 3 - - - 4 - - - 5 - - - 6

Frequency : - 12 - - - 9 - - - 11 - - 8 - - - 12 - - - 14

What is the experimental probability of spinning an odd

P(spinning an odd) = (number of occurrence of an event / number of trials)

Odd outcomes = 1, 3, 5

Frequency of 1 = 12

Frequency of 3 = 11

Frequency of 5 = 12

Number of occurrences of odd = (12 + 11 + 12) = 35

Number of trials = 66

Therefore,

P(spinning an odd) = 35 / 66

Answer:

a = 1

Step-by-step explanation:

The given equation is:

=> 5x+y = 8

Also,

Point = (x,y) = (a,3)

So, x = a , y = 3

Putting this in the above equation

=> 5(a)+3 = 8

=> 5a = 8-3

=> 5a = 5

Dividing both sides by 5

=> a = 1

Answer:

There are £61.50 in 992 rubles

Step-by-step explanation:

Here, we shall be doing some currency conversions.

Now,

£31 = 500 rubles

Then;

£x = 992 rubles

To get c, what we do is simply cross multiply

£x * 500 rubles = £31 * 992 rubles

£x = (£31 * 992 rubles)/500 rubles

£x = £61.504

which is £61.50 to two decimal places

Step-by-step explanation:

15p square - 7q square

square(15p-7q)

hope it helps

Answer:

[tex]785in^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h=\pi *5^2*10=785.39816\\=785.4\\=785in^3[/tex]

Answer:

Step-by-step explanation:

lol

Answer:

Correct option: third one -> 12

Step-by-step explanation:

In a polygon with 'n' vertex, we can trace diagonals from one vertex to all vertices, except to the vertex chosen and the two adjacent vertices (because we would have sides and not diagonals), so we would have 'n - 3' diagonals.

If we have a polygon with 15 vertex, the number of diagonals from one vertex is 15 - 3 = 12.

Correct option: third one

Answer:

3pi/4 =x       and 5pi/4 =x

Step-by-step explanation:

cos x + sqrt(2) = - cos x

subtract cos x from each side

cos x - cosx + sqrt(2) = - cos x - cos x

sqrt(2) = -2 cos x

Divide each side by -2

-sqrt(2) / 2 =-2 cos (x) /-2

-sqrt(2) /2 =cos (x)

Take the inverse cos of each side

cos(-1)(-sqrt(2) /2) =cos^-1(cos (x))

3pi/4 =x       and 5pi/4 =x

Answer:

Here's your answer:

3pi/4 =x       and 5pi/4 =x

cos x + sqrt(2) = - cos x

subtract cos x from each side

cos x - cosx + sqrt(2) = - cos x - cos x

sqrt(2) = -2 cos x

Divide each side by -2

-sqrt(2) / 2 =-2 cos (x) /-2

-sqrt(2) /2 =cos (x)

Take the inverse cos of each side

cos(-1)(-sqrt(2) /2) =cos^-1(cos (x))

3pi/4 =x       and 5pi/4 =x

Step-by-step explanation:

Answer:

x=1, y = -3

Step-by-step explanation:

2x -y=-11

6x + y = 3​

Add the two equations together

2x -y=-11

6x + y = 3​

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

8x  = 8

Divide by 8

8x/8 = 8/8

x= 1

Now find y

6x+y = 3

6(1) +y = 3

6+y =3

Subtract 6 from each side

6+y-6 = 3-6

y = -3

Answer:

Probability that both of them use it = 0.3945

Step-by-step explanation:

Given:

Student use app = 63%

Number of chosen student = 2

Computation:

Assume total number of student = 100%

So, probability that both of them use it.

⁶³C₂ / ¹⁰⁰C₂

[tex]\frac{\frac{63!}{2! 61!} }{\frac{100!}{2! 98! } } \\\\\frac{63\times 62}{100 \times 99} \\\\\frac{3,906}{9,900} \\\\0.3945[/tex]

Therefore, probability that both of them use it = 0.3945

Answer:

94%

Step-by-step explanation:

no of qn = 47(correctly answer)+3 (wrong answered)

                =50

percentage =47/50*100

                    =94

Answer:

y = -2

Step-by-step explanation:

y = -8/4 = -2

Answer:

y= -2

Step-by-step explanation:

on edg 2020 :))