Find $\sin D$ , $\sin E$ , $\cos D$ , and $\cos E$ . Write each answer as a fraction in simplest form.

A right-angled triangle D F E, angle F marked right angle, hypotenuse D E marked 15, shortest side D F labeled 9 and second side F E labeled 12.

Answer:

the maximum number of boxes she can bring at one time is 59 boxes

Step-by-step explanation:

59 x 51 = 3009 + 145 = 3154

equation = x = 145 + (51 x 59)

x = the weight of the boxes and Sandra

Answer:

The angle being shown is an acute angle

Step-by-step explanation:

Answer

obtuse

Step-by-step explanation:

i did the test.

The expected value for each round, if there are two draws per round and the chips, are replaced after each draw is 0.4.

Given to us

Number of black chips = 2

Number of red chips = 3

Points are given for a black chip = +2

Points are given for a red chip = -1

We know that for each round there will be 2 draws, therefore, there will be four cases,

Case1:

Probability, when both the chips drawn are black,

[tex]\dfrac{2}{5} \times \dfrac{2}{5} = \dfrac{4}{25}[/tex]

Case2:

Probability, when the first chip is black and the next chip is red,

[tex]\dfrac{2}{5}\times \dfrac{3}{5}=\dfrac{6}{25}[/tex]

Case 3:

Probability, when the first chip is red and the next chip is black,

[tex]\dfrac{3}{5}\times \dfrac{2}{5}=\dfrac{6}{25}[/tex]

Case 4,

Probability, when both the chips drawn are red,

[tex]\dfrac{3}{5}\times \dfrac{3}{5}=\dfrac{9}{25}[/tex]

The expected value of each round can be found,

[tex]E(x) = (2+2)\dfrac{4}{25} + (2-1)\dfrac{6}{25} +(-1+2)\dfrac{6}{25} +(-1-1)\dfrac{9}{25}[/tex]

E(x) = 0.4

Hence, the expected value for each round, if there are two draws per round and the chips, are replaced after each draw is 0.4.

Learn more about Expected Value:

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so initially the paper is in full piece.

it is cut into half, which makes into 2. this is pattern 1.

then the halves is further divided in to 2.

then the total becomes 4. then the four pieces are cut into halves, which makes the total of 8 pieces, that is pattern 3..

is if we see the pattern it is a geometric progression.

Tn=ar²-¹ where the r is common ratio

and a is the first term. the question mentioned repeat 15 times.

1. 2

2. 4

3. 8

4. 16

4÷2=2 the common ratio.

So T(15)= 2×2¹⁵-¹

2×2¹⁴

2¹⁵

32768 pieces

please mark brainliest.

Answer:

48cm^2

Step-by-step explanation:

base × height=8cm×6cm=48cm^2

Answer:

Area=24cm²

Step-by-step explanation:

[tex]Solution,\\\\Base(b)=8cm\\\\Height(h)=6cm\\\\Area=\frac{1}{2}* b*h\\\\Area=\frac{1}{2} *8cm*6cm=24cm^{2} .[/tex]

Answer:

3

Step-by-step explanation:

Hope this helps

Pls mark brainliest

Answer:

5.6

Step-by-step explanation:

is/of = percent/100

'what is' means to assign a variable for 'is'

of = 8

70% = 70/100

n/8 = 70/100

cross-multiply to get:

100n = 560

n = 5.6

Answer: f=78

Step-by-step explanation:

En un cuadrilatero la suma de los angulos internos es 180°

Ademas los angulos alternos internos so iguales.

Por lo tanto el angulo frente a 72° en diagonal tambien es 72°

Si sumamos esos dos angulos obrenemos 144°Si restamos este resultado de 360° obtenemos  360°-144=216 °

Finalmente debemos dividir entre dos los 216°

216/2 = 78°

Answer:

Distance traveled is equal to the length of wheel circumference as it “unrolls” along the ground as the wheel turns. One full turn of the wheel will move the robot one circumference's distance. Therefore, students will find the distance traveled by multiplying circumference by the number of rotations.

Answer:

x = 6

Explanation:

3x - 3 = 15

3x = 15 + 3

3x = 18

x = 18 ÷ 3

x = 6

The value of x from the expression is 6

Given the equation

3x - 3 = 15

Add 3 to both sides

3x - 3 + 3 = 15 + 3

3x = 18

Simplify the result

3x = 18

Divide both sides by 3

3x/3 = 18/3

x = 6

Hence the value of x from the expression is 6

Learn more on equation here: brainly.com/question/2972832

Answer:

Pattern : 4 is added every time in this table of values.

Step-by-step explanation:

a)

According to the values of the first three terms in the table we can state that:

We can show this as recursive formula:

b)

The next terms are:

The two expressions are equivalent.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

2x + 4 - 1 can be represented as 2x + 3

3 + x + x  can be represented as 3 + 2x

The two expressions are equivalent.

At x = 6

2x + 3    and     3 + 2x

2(6) + 3   and    3 + 2(6)

12 + 3     and     3 + 12

   15        and       15

Both are equal.

At x = 2

2x + 3    and     3 + 2x

2(2) + 3   and    3 + 2(2)

 4 + 3     and      3 + 4

    7        and        7

Both are equal.

Thus the two expressions are equivalent.

More about the linear equation link is given below.

https://brainly.com/question/20379472

Answer:

if both expressions have the same value after submitting and simplifying for x = 6 and x = 2, then they are equivalent. Substitute 6 for each variable, 6 for each variable, x, in both expressions. The value on both expressions is 15. Now, substitute 2 for each variable, x, in both expressions. The value of both expressions is 7. Therefore, the expressions are equivalent.

Step-by-step explanation:

Sample response. Wait, have you smiled today? its very important:)

A rhombus is both a rectangle and a rhombus. All the sides are equal and each angle measure 90 degrees.

A quadrilateral is a polygon with four sides and and four angles. A rectangle has opposite sides parallel and equal. The angles of a rectangle all measure 90 degrees.

A rhombus has opposite sides parallel and equal. All sides of a rhombus are equal and opposite angles are equal.

A rhombus is both a rectangle and a rhombus. All the sides are equal and each angle measure 90 degrees.

Find out more on Quadrilateral at: https://brainly.com/question/23935806

Answer:

On the attachment.

Step-by-step explanation:

On the attached image.

Answer: B

Step-by-step explanation:

Step-by-step explanation:

I'm not sure what you need help with, since what you have written down is correct. However, if you are looking for an explanation, here it is:

x + 5 < -2

To solve for x, we have to get x on one side by itself. Whatever you do to one side, you have to do to the other. Let's get rid of 5 to get x by itself.

x + 5 < -2    (Subtract 5 from both sides)

x < -7

Perfect! Basically what this is saying, is that all the values x can equal have to be less than -7. The sign < means less than.

For the signs < (less than) and > (greater than), we use an open circle.

For the signs ≤ (less than or equal to) and ≥ (greater than or equal to), we use a closed circle.

This is why we use an open circle for this example since x is LESS THAN -7.

The arrow is pointing to the left because these numbers are less than -7.

3x + 11x = 84

add 3x and 11 x

14x = 84

Take 14 to other side and divide it

[tex]x \: \: = \frac{84}{14} [/tex]

x = 6 answer

Answer:

[tex] \sf3x + 11x = 84[/tex]

[tex] \sf14x = 84[/tex]

[tex] \sf \: x = \frac{84}{14} [/tex]

[tex] \sf \: x =6 [/tex]

Answer:

41

Step-by-step explanation:

7 × 9 - 34 + 24 ÷ 2

63 - 34 + 12

41

Answer:

Multiplying by 4 each time. 64 x 4 = 256

Step-by-step explanation:

Hope this helps. :D

pattern is times 4

256, 1024, 4096

Step-by-step explanation:

Given that:

6(x - 1) - x = -21

Multiply the number outside of the brackets with numbers in the brackets on LHS.

⇛6x - 6 - x = -21

Shift constant from LHS to RHS, changing it's sign.

⇛6x - x = -21 + 6

Subtract the values on LHS and RHS.

⇛5x = -15

Shift the number 5 from LHS to RHS.

⇛x = -15/5

Therefore x = -3

Please let me know if you have any other questions.

Answer:

10

Step-by-step explanation:

Given  2x + 7 - x    when x = 3

2(3) + 7 - 3

6 + 7 - 3

6 + 4

10

Answer: 5

              11/12 jk we can't times it :]

Step by Step explanation: First I'm not giving the answer we are doing step by step i am in the same grade. First so 5 x 11 what is it?.........very good its 55 next we are going to the. Next number 5 x 12 what is it?.......YES it is 60 very good ok moving on now how much times does 55 go into 60?.....yes  1 time how much do we have left?........Yes 5 so what is the answer?

Answer:

x = 16

Step-by-step explanation:

the labeled angles are all exterior

the sum of all exterior angles always equals 360 degrees

9x+1 + 5x+12 + 10x-37 = 360

24x - 24 = 360

24x = 384

x = 16

Answer:

v = 27

Step-by-step explanation:

20 = v + 9 - 16

20 = v + (9 - 16)

20 = v - 7

v = 27

Answer:

AC = 24

Step-by-step explanation:

In a rectangle, the diagonals are the same so AC = BB

3x - 9 = x + 13

3x - x = 13 + 9

2x = 22

x = 11

AC = 3x - 9 = 3(11) - 9 = 33 - 9 = 24

Answer:

A

Step-by-step explanation:

-4/5×3/3=-12/15

2/3×5/5=10/15

-12/15-10/15= -22/15

Answer:10% of 82 is 820so 60% of 82 is 4800

Step-by-step explanation:

i hope im right