Convert to a product: cos(2α− pi/16 )+ cos( 9π/16 −2α) im able to get to 2cos(pi/4)*cos(4a-10pi/16) but i dont know how to simplify it even mor

Answer:

11

Step-by-step explanation:

Answer: first question: 1 1/8

Step-by-step explanation:

Answer:

hm

Step-by-step explanation:

To find the multiplication expression equivalent to 6/8 divided by 2/3, you can use the reciprocal (or multiplicative inverse) of the divisor and then multiply:

6/8 divided by 2/3 can be rewritten as:

(6/8) x (3/2)

To simplify, you can reduce 6/8 to 3/4:

(3/4) x (3/2) = 9/8

So the multiplication expression equivalent to 6/8 divided by 2/3 is 9/8.

To confirm this, you can also simplify the expression 6/8 divided by 2/3 using the division rule of fractions:

6/8 divided by 2/3 is the same as multiplying 6/8 by the reciprocal of 2/3:

(6/8) x (3/2)

Then, you can simplify the expression by reducing the fraction 6/8 to its simplest form:

(3/4) x (3/2)

Finally, you can multiply the two fractions together to get:

(3 x 3)/(4 x 2) = 9/8

Therefore, the multiplication expression equivalent to 6/8 divided by 2/3 is 9/8.

Answer:

2x - 2y = - 10

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

- 2(x - y) - 10 = 0 ← distribute parenthesis on left side

- 2x + 2y - 10 = 0 ( add 10 to both sides )

- 2x + 2y = 10 ( multiply through by - 1 )

2x - 2y = - 10 ← in standard form

Answer: Surface Area = 2 x (5x2 + 3x2 + 5x3) = 62 centimeters

Surface area of a right rectangular prism = 2(lh + wh + lw)

Step 1: Label the Given-

Length (l) = 5cm,      Width (w) = 3cm,      Height (h) = 2cm

Step 2: Replace the given-

Surface Area = 2 x (5x2 + 3x2 + 5x3)

= 2 x (31)

Surface Area = 62 centimeters

Horus got his answer, by applying only what lays inside the parentheses. To get the right answer, Horus must multiply what they got by 2:

2 x (31) = 62 centimeters

Answer:

SA= 15+6+10+10+15+6 = 62

Step-by-step explanation:

take your top rectangle multiply length and width= 15

Take the one right below it take the 2cm, and multiply it with 3=6

after that one doe 3x5 again=15

Then, 3x2=6

And then 5x2=10

And then once more=10

Answer: The correct answer is:

Probability of rolling a number less than 3: 2/6 or 1/3

Step-by-step explanation:

Explanation: Out of the six possible outcomes (numbers 1, 2, 3, 4, 5, 6), there are two outcomes that meet the condition of rolling a number less than 3, which are 1 and 2. Therefore, the probability of rolling a number less than 3 is 2 out of 6, which simplifies to 1/3.

Probability of not rolling a number less than 3: 4/6 or 2/3.

Explanation: To find the probability of not rolling a number less than 3, we consider the outcomes that are not favorable (i.e., rolling a 3, 4, 5, or 6). There are four such outcomes, so the probability of not rolling a number less than 3 is 4 out of 6, which simplifies to 2/3. :D

Answer:

Step-by-step explanation:

x  -  the hight of another sail

\(\dfrac{8}{10}=\dfrac x{25}\\\\x=\frac8{10}\cdot25=\frac45\cdot25=4\cdot5 = 20\)

Answer:

Step-by-step explanation:

1st question ➡ radius = 8 ÷ 2 = 4

Volume = \(\pi r^{2}\)  × height

= \(\pi\) × 4² × 12

= \(\pi\)  × 192

= 192\(\pi\) in.²

2nd question ➡  radius = 10 ÷ 2 = 5

Volume = \(\pi r^{2}\)  × height

= \(\pi\) × 5² × 6

= \(\pi\)  × 150

= 150\(\pi\) ft.²

Hope this helps!

Answer:

each niece gets $111

Step-by-step explanation:

first you would subtract 106 from 550 next you dived the diffrence of 550 and 106 by four.

18 ft is the correct answer

Answer:

D is the right choice and no you cannot fit the pizza inside the box.

Step-by-step explanation:

D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.

Answer:

I believe the answer is D.

Step-by-step explanation:

GOOGLE

Answer:

Answer B

Step-by-step explanation:

You need to first find the surface area of the triangular prism.

In order to do that, we need to first know the length of the base of the triangles on both side. So, I used the pythagorean theorem (a²+b²=c²) after making the triangle a right triangle by cutting it in HALF.

a²+b²=c²

a²+2.6²=3²

a²+6.76=9

Subtract 6.76 on both sides

a²=2.24

a=√2.24

a=1.49666295471

Now, we know that the base of HALF of the triangles on both sides of the prism is 1.496......

We need to MULTIPLY this by 2 to get the full length. So, the length of the bases of both triangles is 2.99332590942

The height of the triangles is 2.6

We are going to first find the area of one triangle and multiply it by 2, to get the area of both triangles.

Area of a triangle = base x height ÷ 2

2.6 x 2.99332590942= 7.78264736449

7.78264736449 ÷ 2 = 3.89132368224

3.89132368224 x 2 (because we have 2 triangles) =7.78264736449  cm squared

Now, we know the area of both triangles, but we now need to add the add the surface area of the rectangles in the net.

Area of a rectangle = length x width

We know that all of the three rectangles are equal in size, and that the length of each one of them is 15 cm. However, the width/height of each one is unknown. We will find out the height of each one by looking at the length of the base of the triangle attached to the first one. We know that because of the base of the triangles = 2.99332590942, the width of the attached rectangles are 2.99332590942. We found this using the Pythagorean theroem (look above).

15 x 2.99332590942= 44.8998886413

44.8998886413 x 3 (because we have 3 of the same rectangles)= 134.699665924 cm squared

Now, we must ADD the surface area of the rectangles AND the triangles.

7.78264736449 (triangles) + 134.699665924 (the three rectangles)= 142.482313288 cm squared.

The CLOSEST OPTION to the answer we got is ANSWER B because it is 142.8 cm squared, which is the closest to the answer we got which was 142.482313288 cm squared.

I really hope this helps :)

Answer:

the answer is B

Step-by-step explanation:

Answer:

Third

Step-by-step explanation:

h c

0 485

3 560

8 685

12 785

The table that shows the relationship between h, the number of hours John’s brother works, and c, the total cost of the project is third table.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that John paid $485 to build a deck.

And he will pay $25 per hour to his brother for building the deck.

one hour of work costs John $25 + $485 .

Total cost of building deck = $25 × h number of hours + $485

3 hour of work costs $25 × 3 = $75 + $485 = $560

8 hour of work costs = $25 × 8 = $200 + $485 = $685

12 hour of work costs = $25 × 12 = $300 + $485 = $785

Therefore, the third table suggests the total cost of work.

To learn more about the multiplication;

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Answer:

A B and C

Step-by-step explanation:

Answer:

Let's start by using variables to represent the ages of the three people:

Let L be Liz's age.

Let D be Debbie's age.

Let F be Freya's age.

From the problem, we know that Liz's age is two-thirds of Debbie's age, so we can write:

L = (2/3)D

We also know that Debbie's age is half of Freya's age, so we can write:

D = (1/2)F

To find the ratio of Liz's age to Freya's age, we need to express Liz's age and Freya's age in terms of a common variable. Since we have an equation relating Debbie's age to Freya's age, we can use that as the common variable. From the equation D = (1/2)F, we can solve for F in terms of D:

F = 2D

Now we can substitute this expression for F into the equation for Liz's age:

L = (2/3)D = (2/3)(1/2)F = (1/3)F

So Liz's age is one-third of Freya's age. The ratio of Liz's age to Freya's age is therefore 1:3.

Answer:

x = 2.73

Step-by-step explanation:

Heres what you put if it says show your work :)

x + 4/5 = 3 8/15

  - 4/5   - 4/5

____________

       x = 2.73

Answer:

Step-by-step explanation:

1/4 because all equal 24 together

and so

12 is half so pulling a club would be 1/2

6 is a fourth so pulling a diamond or heart would be 1/4

because 6x2=12 so pulling a diamond or heart would be 50 - 50 from pulling a heart/diamond or a club

6=cards

2=diamonds and hearts

The probability of drawing a heart from the pile of 52 cards is 0.25.

The ratio of the number of favorable outcomes to the total number of outcomes of an event is defined as probability.

We know, the probability of an event = Number of favorable outcomes/Total number of outcomes.

As it is given that there are 6 hearts, 12 clubs, and 6 diamonds in a pile of playing cards.

Therefore, the total number of outcomes = 6+12+6= 24

and number of favorable outcomes = 6

Now, the probability of an event = 6/24

= 1/4

= 0.25

Therefore, the probability of drawing a heart is 0.25.

To learn more about the probability, visit:

brainly.com/question/11234923.

Answer: 1. a. 15     b. 11     c. 2     d. 7     e. 5.5

2.  Stem:                   Leaf:

        1                           9

        2                         5, 9

        3                        3, 3, 8

        4                        0, 7, 9

        5                          4, 5

        6                           1, 5

        7                           2, 7

        8                             1

3. a. 13 inches        b. I'm pretty sure that it is the second quarter because there is more snow.           c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation:

Answer:

\(\huge\boxed{B) x = 20}\)

Step-by-step explanation:

50 * 5x = 5000

Dividing both sides by 50

=> 5x = 5000/50

=> 5x = 100

Dividing both sides by 5

=> x = 20

Answer:

the answer is B

Step-by-step explanation:

X: (x)50=20

Answer: 2

Step-by-step explanation: This is incredibly simple first we can match the denominators, 4*13 = 52 and that means we have to do that to numerators to, 8x*4 = 32x so now our equation is 32x/52 = 64/52 and as we know 32*2 = 64 so that means x = 2.

Answer:

30 to 100

Step-by-step explanation:

cus when y increases 30, x increases 100

Answer:

Push-Ups: 15, 30, 45, 60, 75

Sit-Ups: 30, 60, 90, 120, 150

Step-by-step explanation:

Multiply the number of push-ups by 2 to find the number of sit-ups.

Answer: For the push ups fill them up with the numbers 45, 60, and 75/ For the sit-ups fill them up with 90, 120, and 150./ But I'm pretty confused to find the overall example would you try to explain a bit more.

Step-by-step explanation:

Answer:

Y= mx + b

so Y = 1/3x + 2

just substitute

Answer:

\(\Huge \boxed{\boxed{\bf{5642\,in^3}}}\)

Step-by-step explanation:

To find the amount of foam needed to make 160 cones, we first need to calculate the volume of a single cone. The formula for the volume of a cone is given by:

\(\LARGE \boxed{\tt{V = \frac{1}{3} \pi r^2 h}}\)

➤\(\tt{V}\) = the volume

➤\(\tt{r}\) = the radius of the base

➤\(\tt{h}\) = the height of the cone

In this case, the height is 15 inches, and the base radius is 1.5 inches. Using 3.14 for pi, we can calculate the volume of a single cone:

Now, to find the amount of foam needed for 160 cones, we simply multiply the volume of a single cone by 160:

So, 5642 in³ of foam are needed to make 160 cones.

Learn more about volume of a cone.

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Answer: y=32x+52

Step-by-step explanation: i took the test lol

Answer:

y=32x+52

Step-by-step explanation:

EDGE