what's the difference of -5/12 - 3/10

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Work Shown:

A = probability of getting a yellow ball

A = (number of yellow)/(number total)

A = 7/(5+7+1)

A = 7/13

B = probability of getting a green ball after event A happens, no replacement

B = (number of green)/(number left after the yellow is picked)

B = 5/(13-1)

B = 5/12

A*B = probability of getting yellow followed by green, no replacement

A*B = (7/13)*(5/12)

A*B = (7*5)/(13*12)

A*B = 35/156

Given:

The measure of the first angle is 40° less than the measure of the second.

To find:

The measures of the complementary angles that satisfy the given condition.

Solution:

Let the measure of first angle be x°.

According to the given condition,

First angle = Second angle - 40°

[tex]x^\circ =\text{Second angle}-40^\circ [/tex]

Add 40° on both sides.

[tex](x+40)^\circ =\text{Second angle}[/tex]

We know that, sum of complementary angles is 90°. So,

First angle + Second angle = 90°

[tex]x^\circ +(x+40)^\circ =90^\circ [/tex]

[tex]2x^\circ +40^\circ =90^\circ [/tex]

[tex]2x^\circ =90^\circ -40^\circ [/tex]

[tex]2x^\circ =50^\circ [/tex]

Divide both sides by 2.

[tex]x^\circ =25^\circ [/tex]

So, the measure of first angle is 25°.

[tex](x+40)^\circ =(25+40)^\circ =65^\circ[/tex]

So, the measure of second angle is 65°.

Answer:

$16.49

Step-by-step explanation:

The closest option to $16.50 is $16.49, so that is the answer. I hope this helps!

Answer:

6

Step-by-step explanation:

Cone volume : V = pi r² . h/3

radius = sqrt ((3V) / (pi.h))

radius = sqrt ((3 x 640.56) / (17 x 3.14))

radius = sqrt ( 1921.68 / 53.38 )

radius = sqrt ( 36 )

radius = 6

Step-by-step explanation:

2x*3y=36

2x*3(6)=36

2x*18=36

2x=36/18

2x=2

x=1

hope this was helpful

remember if you have any question ask me in the comment section

Answer:5/6

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

Answer:

19 or c

Step-by-step explanation:

Hi I just took the test as you can see on the chart by the x axis it goes from 10 to 11 and on the y axis it goes from 27 to a so really it’s just simple subtraction

Answer:

The shortest piece is 42

Step-by-step explanation:

168 ÷ 4 = 42 ( Shortest Piece )

42 × 3 = 126 ( Longest Piece )

168 - 126 = 42

Answer:

The average change would be -3.36 degrees.

Step-by-step explanation:

We take the overall temperature change which is -16.8 and we would just simply divide that by 5. That's all to get the temperature.

Another example would be if the temperature change was 16 over the course of 4 days. In this case we would take the overall (16) and divide that by the number of days. There would be an average of 4 degree temperature change.

Answer:

Your answer would be:
C.) The sum of the measures of the angles is greater than 360 degrees

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Among all there is no condition which will not create a gap or an overlap at a vertex of polygon.

A polygon is a plane figure that is having finite number of sides which are connected to form a closed figure.

In this we have two cases:

case 1: If the polygons are regular.

The sum of all the angles is equal to 360°.

For example: Consider a quadrilateral polygon whose four sides are congruent and each angle is 90°. Then the sum of angles is 90+90+90+90=360°.

case 2: If the polygons are not regular

We know that sum of angles can be found by (n-2)*180°

Suppose polygon is 3 sided so the sum will be (3-2)*180=180° which is less than 360°.

Suppose polygon is 6 sided so the sum will be (6-2)*180°=720° which is greater than 360°.

Hence there is no condition which will not create a gap or an overlap at a vertex of polygons.

Learn more about polygons at https://brainly.com/question/1592456

#SPJ2    

Answer:

x = 11

Step-by-step explanation:

Given;

[tex]x-\frac{1}{x}=3[/tex]

Squaring equation;

[tex](x-\frac{1}{x})^2=3^2[/tex]

[tex]x^2+\frac{1}{x}^2-2*x*(\frac{1}{x})=9[/tex]

By algebraic identity :

[tex](a-b)^2=a^2+b^2-2ab[/tex]

Substitute

[tex]x^2+\frac{1}{x}^2 - 2 = 9[/tex]

Add

[tex]x^2 + \frac{1}{x}^2 = 9 +2[/tex]

Simplify

[tex]x^2 + \frac{1}{x}^2 = 11[/tex]

Hence, x = 11.

~Learn with Lenvy~

A is the statement that is true

Answer:

2x + 1

Step-by-step explanation:

[tex] \frac{(2x² - 5x-3)}{(x - 3)} [/tex]

Factor out 2x² - 5x-3

[tex] \frac{(2x + 1)(x - 3)}{x - 3} [/tex]

divide x - 3 by x - 3

=> 2x + 1

Or another step

Step by Step Solution

STEP

1

:

Equation at the end of step 1

STEP

2

:

2x² - 5x - 3/ x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x² - 5x - 3

The first term is, 2x² its coefficient is 2 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

2x² - 6x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-3)

Which is the desired factorization

Canceling Out :

2.2 Cancel out (x-3) which appears on both sides of the fraction line.

Final result :

2x + 1

isosceles triangle so angle Q = angle R

and sum of the angles of a triangle = 180

so

y + y + 84 = 180

2y = 96

y = 48

Answer:

1,-5,10,3 are integers.

Step-by-step explanation:

1 is a natural number which is an integer. 8.666 is a repeating decimal which isnt an integer. -5 is a negative number and integer. 10 is a natural number which is an integer. 3 is a natural number which is an integer.

Hope this helped and have a great day!

(Please brainliest)

Answer:

1. LP

2. QR

3. LM

4. SNM

Step-by-step explanation:

hope this helps

Complete question is;

Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units. From the net, we can see that there are six equal faces and so we get the total surface area is 6 × 16 = 96 square units.

Find the total surface area of the rectangular prism attached.

Answer:

72 cm²

Step-by-step explanation:

From the rectangular prism attached, we can see that it has 6 sides.

Now, each side has a mirrored part which is of same dimensions with it.

Thus, unfolding to get a net, we have;

2 faces with dimension: 3cm × 6cm

2 faces with dimension: 2cm × 6 cm

2 faces with dimension: 2cm × 3cm

Thus,total surface area is;

2(3cm × 6cm) + 2(2cm × 6cm) + 2(2cm × 3cm) = 36 + 24 + 12 = 72 cm²

Answer:

$18

Step-by-step explanation:

2 software packages + 5 months of gameplay = $130

$40 + 5 months of gameplay = $130

5 months of gameplay = $90

1 month of gameplay = $18

Answer:

18 dollars

Step-by-step explanation:

m = months of game play

130 = (20 + 1m) + (20 + 4m)

130 = 40 + 5m

90 = 5m

18 = m

Hope that helps and have a great day! If ya want me to explain more let me know.

Answer:

x > 0

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

The first one is a row and the second one is a column. 1st row and 5th column.

Answer:29

Step-by-step explanation:

Given:

A square corner of 16 square centimeters is removed from a square paper with an area of 9x² square centimeters.

To find:

The area of the remaining paper shape in square centimeters.

Solution:

Initial area of the square paper = 9x² sq. cm

Area of square which is removed from the initial square paper = 16 sq. cm

Subtract area of removed square from the initial area, to find the area of the remaining paper shape.

[tex]9x^2-16=(3x)^2-4^2[/tex]

[tex]9x^2-16=(3x-4)(3x+4)[/tex]              [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

Therefore, the area of the remaining paper shape is (3x-4)(3x+4) sq. cm.

Hence, the correct option is C.

Answer:

for (3,4) you would go 3 to the right on the x-axis and 4 units up

for (-2,1) you would go 2 to the left on the x-axis and one unit up

for (7,-6) you would go 7 to the right on the x-axis and 6 units down

Answer:

dy/dx = x d/dx (sinx)+ sinx d/dx(x)

= x.cosx + sinx

= sinx + xcosx

so option B

Answer:

es 3

Step-by-step explanation:

Para encontrar el mcd de 9 y 57:

Los factores de 9 son 9, 3, 1.

Los factores de 57 son 57, 19, 3, 1.

Los factores en común de 9 y 57 son 3, 1, los cuales intersectan los dos conjuntos arriba.

En la intersección de los factores de 9 ∩ factores de 57 el elemento mayor es 3.

Por lo tanto, el máximo común divisor de 9 y 57 es 3.

Answer:

3

Step-by-step explanation:

9's multiples are 1, 3, and 9. 57's multiples are 1, 3, 19, and 57. The greatest common factor is 3 since that is the highest factor they share.

Step-by-step explanation:

Least common multiple of 66 and 88 is 2424. Convert -\frac{5}{6}−

6

5

and \frac{83}{8}

8

83

to fractions with denominator 2424.

-\frac{20}{24}+\frac{249}{24}−

24

20

+

24

249

Step 2

Since -\frac{20}{24}−

24

20

and \frac{249}{24}

24

249

have the same denominator, add them by adding their numerators.

\frac{-20+249}{24}

24

−20+249

Step 3

Add -20−20 and 249249 to get 229229.

\frac{229}{24}

24

229

answer:222/24 = 9.5419999967

Answer:109

Step-by-step explanation:41+68=109

109-68=41

Answer:

12/2

Step-by-step explanation:

12 halves equal 6 but 2 twelves equal 0.17 (rounded)

Simple interest formula:

Total = start value x (1 + (rate x time))

Total = 13,000 x (1 + (0.047 x 6))

Total = 13000 x 1.282

Total = £16,666

Answer:

0.6 percent

Step-by-step explanation:

I did division that why

Answer:

C

Step-by-step explanation:

Pythagorean theorem

Answer: 3

Step-by-step explanation: A=1 and B=2  its like adding 1 and 2 it is 3