Answer:
The answer 1m and 85cm

Prove that: (2-sin(2x))(sin(x) + cos(x)) = 2(sin^3(x) + cos^3(x))

Brian and Jennifer are planning to get married at the end of the year. They read that certain diets are healthier for specific blood types and hope that they both have the same blood type. Unfortunately, neither Brian nor Jennifer can remember their blood type.Suppose a recent study shows that 29% of adults have blood type A, 35% of adults have blood type B, 24% of adults have blood type AB, and 12% of adults have blood type O. The tree diagram shows the possible outcomes for Brian and Jennifer along with their associated probabilities. What is the probability that Brian and Jennifer share the same blood type?

For the equation y = 2x2 - 5x + 18, choose the correctapplication of the quadratic formula.

I need help i will give the brainliest

Which statement must always be true?413Choose the correct answer below.O A. If Z1 Z2, then gl|h.OB. If 21-23, then gl|h.O C. If Z2 = 24, then jl|k.OD. If Z3 Z4, then illk.

Brian and Jennifer are planning to get married at the end of the year. They read that certain diets are healthier for specific blood types and hope that they both have the same blood type. Unfortunately, neither Brian nor Jennifer can remember their blood type.Suppose a recent study shows that 29% of adults have blood type A, 35% of adults have blood type B, 24% of adults have blood type AB, and 12% of adults have blood type O. The tree diagram shows the possible outcomes for Brian and Jennifer along with their associated probabilities. What is the probability that Brian and Jennifer share the same blood type?

For the equation y = 2x2 - 5x + 18, choose the correctapplication of the quadratic formula.

I need help i will give the brainliest

Which statement must always be true?413Choose the correct answer below.O A. If Z1 Z2, then gl|h.OB. If 21-23, then gl|h.O C. If Z2 = 24, then jl|k.OD. If Z3 Z4, then illk.

**Step-by-step explanation:**

1) angle 2 and 4

2)angle 2 and 3

3)angle 1 and 4

Hope it helps

**Answer:**

any decimal between 3.0 and 3.45. You can,use 3.25 if u don't wanna think about it

**Answer:There are mutipal answers but here’s one 3.1**

**Step-by-step explanation:**

Answer:x = negative 4

Step-by-step explanation:

The given equation is expressed as

1/4 × x - 1/8 = 7/8 + 1/2 × x

x/4 - 1/8 = 7/8 + x/2

First step is to find the lowest common multiple of the left hand side of the equation and the right hand side of the equation. Then, we would multiply both sides of the equation by the lowest common multiple. The lowest common multiple is 8. Therefore

x/4 × 8 - 1/8 × 8 = 7/8 × 8 + x/2 × 8

2x - 1 = 7 + 4x

7 + 4x = 2x - 1

Subtracting 2x and 7 from the left hand side of the equation and the right hand side of the equation, it becomes

7 - 7 + 4x - 2x = 2x - 2x - 1 - 7

2x = - 8

x = - 8/2 = - 4

**Answer:**

**Step-by-step explanation:**

-4

**Answer:**

**Step-by-step explanation:**

4a+2(b+5a)+7

4a+2b+10a+7

4a+10a+2b+7

14a+2b+7

The answer is 14a+2b+7

Provide the equation to solve for the unknown angle

Measure of Angle CIO

MAP

Complement of smaller angle

Answer:

Measure of CIO = 30°

Measure of MAP = 150°

Complement of smaller angle = 60°

Step-by-step explanation:

Given that <CIO and <MAP are supplementary, therefore:

m<CIO + m<MAP = 180°

Let x be m<CIO

m<MAP = 5x

Thus:

x + 5x = 180

Solve for x

6x = 180

Divide both sides by 6

x = 30°

The smaller angle = m<CIO = x = 30°

The bigger angle = m<MAP) = 5x = 5(30) = 150°

Complement of the smaller angle = 90 - 30 = 60°

B: New radius=?

New height=?

**Answer:**

A) Radius: 3.44 cm.

Height: 6.88 cm.

B) Radius: 2.73 cm.

Height: 10.92 cm.

**Step-by-step explanation:**

We have to solve a optimization problem with constraints. The surface area has to be minimized, restrained to a fixed volumen.

a) We can express the volume of the soda can as:

This is the constraint.

The function we want to minimize is the surface, and it can be expressed as:

To solve this, we can express h in function of r:

And replace it in the surface equation

To optimize the function, we derive and equal to zero

The radius that minimizes the surface is r=3.44 cm.

The height is then

The height that minimizes the surface is h=6.88 cm.

b) The new equation for the real surface is:

We derive and equal to zero

The radius that minimizes the real surface is r=2.73 cm.

The height is then

The height that minimizes the real surface is h=10.92 cm.

The minimal surface area for a **cylindrical **can of 256cm^3 is achieved with radius 3.03 cm and height 8.9 cm under uniform thickness, and radius 3.383 cm and height 7.14 cm with double thickness at top and bottom. Real cans deviate slightly from these dimensions possibly due to practicality.

For a **cylinder** with given volume, the surface area A, radius r, and height h are related by the formula A = 2πrh + 2πr^2 (if the **thickness **is uniform) or A = 3πrh + 2πr^2 (if the top and bottom are double thickness). By taking the derivative of A w.r.t r and setting it to zero, we can find the optimal values that minimize A.

For a volume of 256 cm^3, this gives us r = 3.03 cm and h = 8.9 cm with uniform thickness, and r = 3.383 cm and h = 7.14 cm with double **thickness **at the top and bottom. Comparing these **optimal dimensions** to a real soda can (r = 2.8 cm, h = 10.7 cm), we see that the real can has similar but not exactly optimal dimensions. This may be due to practical considerations like **stability **and ease of holding the can.

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