i need help asap with geometry

Step-by-step explanation:

5x÷2+1=11

5(4) ÷2+1=11

If in ∆ABC, /_ABC = 90° and is the mid-point of side AC. Using vector method OA = OB = 0C.

We can prove this using vector method as follows:

Let's label the vertices of the triangle as follows: A (the right angle), B (the top vertex), and C (the midpoint of AC).

We can represent the position vectors of A, B, and C as follows:

→OA = a

→OB = b

→OC = (→OA + →OC)/2 = (a + c)/2

We can then use the fact that →AC = →OC - →OA:

→AC = →OC - →OA = (a + c)/2 - a = (c - a)/2

Since →AC is perpendicular to →BC, we can use the dot product to set up an equation:

→AC · →BC = 0

(→c - →a)/2 · →b = 0

→b · →c - →b · →a = 0

Since →c · →a = |→c||→a| cos 90° = 0, we can simplify this to:

→b · →c = 0

We can use the fact that →OC = →OB - →BC:

→OC = →OB - →BC = b - (c - a) = a + (b - c)

Since →AC is perpendicular to →BC, we know that →AC is a scalar multiple of →OB - →OC:

→AC = k(→OB - →OC)

Substituting in the expressions for →AC and →OC, we get:

(c - a)/2 = k(b - a - c)

Simplifying, we get:

(b - c) = 2k(b - a - c)

2b - 2c = 2kb - 2ka - 2kc

2c = 2kb + (2a - 2b + 2c) = 2kb + 2c

2c = 2(kb + c)

c = kb + c

kb = 0

Since k cannot be zero (otherwise →AC would be the zero vector), we have:

b = 0

Substituting this into the expression for →OC, we get:

→OC = a + (0 - c) = a - c

Since →AC is perpendicular to →BC, we know that →AC is a scalar multiple of →OA - →OC:

→AC = k(→OA - →OC)

Substituting in the expressions for →AC and →OC, we get:

(c - a)/2 = k(a - c)

Simplifying, we get:

a - c = -2kc + a - c

2kc = 0

Since k cannot be zero (otherwise →AC would be the zero vector), we have:

c = 0

Substituting this into the expression for →OC, we get:

→OC = a

Therefore:

→OA = a

→OB = b = 0

→OC = a

So, we have proved that OA = OB = 0C using vector method.

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Answer:

The expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 21

Step-by-step explanation:

The perimeter is the sum of all side lengths for a 2d shape, such as this triangle. Our perimeter is thus

4x² - 3 + 4x² - 2 + 4x² - 1

We can then separate our variables and constants to make it

4x² + 4x² + 4x² - 3 - 2 - 1

Add the constants to get

4x²+4x²+4x²  - 6

To add variables, we must first make sure that they are the same variable/letter as well as to the same degree. The coefficient only affects the result. Because all of our variables are the same letter (x) and are all to the second degree, we can add them. To do this, we simply add the coefficients together to make one big coefficient, and multiply that by the variable. Thus,

4x² + 4x² + 4x² = (4+4+4)x² = 12x²

4x²+4x²+4x²  - 6 = 12x² - 6

Another way of looking at it is that 4x² = 4(x²) = x²+x²+x²+x²

Therefore, the expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 12 * 1.5² - 6 = 21

Answer:

16t^2 - 4t^2 +8t -t +2

12t^2 +7t +2

\((3t+2)4t - t + 212t^{2} + (8t-t)+212t^{2}+7t+2\)

There ya go

~ Mari

Answer:

50.27 cm

Step-by-step explanation:

We Know

The area of the circle = r² · π

Area of circle = 64π cm²

r² · π = 64π

r² = 64

r = 8 cm

Circumference of circle = 2 · r · π

We Take

2 · 8 · (3.1415926) ≈ 50.27 cm

So, the circumference of the circle is 50.27 cm.

Answer: C=16π cm or 50.24 cm

Step-by-step explanation:

The formula for area and circumference are similar with slight differences.

\(C=2\pi r\)

\(A=\pi r^2\)

Notice that circumference and area both have \(\pi\) and radius.

\(64\pi=\pi r^2\)        [divide both sides by \(\pi\)]

\(64=r^2\)             [square root both sides]

\(r=8\)

Now that we have radius, we can plug that into the circumference formula to find the circumference.

\(C=2\pi r\)          [plug in radius]

\(C=2\pi 8\)          [combine like terms]

\(C=16\pi\)

The circumference Is C=16π cm. We can round π to 3.14.

The other way to write the answer is 50.24 cm.

Answer:

Step-by-step explanation:

Points A, B, and C are collinear and point B is between A and C then

AB + BC = AC

2x - 4 + 1 = x + 2

2x - 3 = x + 2

   +3          +3

2x  =  x + 5

  -x     -x

  x  =  5

AB = 2x - 4 = 2×5 - 4 = 10 - 4 = 6

AC = AB +BC = 6 + 1 = 7

Answer:

19.25%

Step-by-step explanation:

If you are asking 35% of 55 then this is your answer.

Answer:

are those 4 all answers or are they separate?

Step-by-step explanation:

The inverse of the function (1/2)^x/3

Given function,

y = 3\(log_{1/2}\) x

Now,

y = 3\(log_{1/2}\) x

Let y = f(x)

then,

x = \(f^{-1} (y)\)

Now put \(f^{-1} (y)\) in the place of x,

y = 3\(log_{1/2}\) \(f^{-1} (y)\)

Simplifying,

y/3 = \(log_{1/2} f^{-1} (y)\)

\(f^{-1} (y) = 1/2^{y/3}\\\)

Replace y variable with x,

\(f^{-1} (x)\) = \((1/2)^{x/3}\)

Hence the inverse of function is \((1/2)^{x/3}\) .

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Answer:55.25 or 6.25

Step-by-step explanation:

By calculating speed of each person we can find who is faster.

Speed can be defined as the distance covered with respect to time. It is a scalar quantity. It is calculated as follows

Speed  = Distance / Time taken

The time taken by each person is 20 seconds.

Distance covered by Jan = 50 meter

Speed of Jan = Distance / Time taken

Speed of Jan = 50 / 20

Speed of Jan = 2.5 meters per second

Distance covered by Dingh = 60 meter

Speed of Dingh = Distance / Time taken

Speed of Dingh = 60 / 20

Speed of Dingh = 3 meters per second

Since the speed of Dingh is more than Jan, we can say that Dingh is faster.

Distance = Speed × Time taken

Here, time taken = 1 second

This implies Distance Covered = Speed

Therefore, Jan covers 2.5 meters in one second while Dingh covers 3 meters in one second.

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Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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Answer:

0.29, 29%

Step-by-step explanation:

Answer:

What is your question I will not see and understand

Cement stabilization offers two advantages over mechanical stabilization using a roller: improved strength and reduced susceptibility to water damage.

However, it also has two disadvantages: longer curing time and higher cost. In the case of dynamic compaction using a tamper, it may not be suitable for quaternary marine deposits due to the potential for soil liquefaction and limited compaction effectiveness. Cement stabilization provides enhanced strength and durability to the stabilized soil compared to mechanical stabilization using a roller. The addition of cement improves the load-bearing capacity of the soil, making it suitable for heavy traffic or structural applications. Moreover, cement-stabilized soil exhibits reduced susceptibility to water damage, such as erosion and swelling, as the cement binds the soil particles together, making it more resistant to moisture-related degradation.

However, there are some drawbacks to cement stabilization. Firstly, it requires a longer curing time for the cement to fully harden and develop its desired strength. This can delay project timelines, especially in situations where rapid construction is necessary. Additionally, cement stabilization tends to be more expensive compared to mechanical stabilization using a roller. The cost of cement, equipment, and skilled labor for mixing and compacting the soil can contribute to higher project expenses.

In the case of dynamic compaction using a tamper, it may not be suitable for quaternary marine deposits. Quaternary marine deposits typically consist of loose, saturated, and potentially liquefiable soil. Dynamic compaction relies on the transfer of energy through impact to densify the soil. However, in the presence of marine deposits, the energy from the tamper may cause the soil to liquefy, resulting in instability and potential settlement issues. Furthermore, the effectiveness of dynamic compaction may be limited in these soil formations due to their low cohesion and high compressibility, which can make achieving the desired compaction levels challenging. Therefore, alternative stabilization methods may be more appropriate for quaternary marine deposits, such as cement stabilization or other techniques that improve the soil's engineering properties and stability.

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Cement stabilization offers several advantages over mechanical stabilization using a roller. Firstly, cement stabilization provides improved strength and durability to the soil. The addition of cement helps bind the soil particles together, resulting in a stronger and more stable foundation.

This is particularly beneficial in areas with weak or unstable soils, such as quaternary marine deposits. Secondly, cement stabilization allows for better control over the stabilization process. The amount of cement can be adjusted to suit the specific soil conditions, providing flexibility in achieving the desired level of stabilization. However, there are also some disadvantages to consider. One drawback of cement stabilization is the longer curing time required for the cement to fully set and gain its strength. This can prolong construction timelines and may cause delays in project completion. Additionally, cement stabilization can be more expensive compared to mechanical stabilization using a roller. The cost of procuring and mixing cement, as well as the equipment and labor required, can contribute to higher overall project costs.

In the case of dynamic compaction using a tamper, it may not be the most suitable method for stabilizing quaternary marine deposits. Dynamic compaction is typically effective for compacting loose granular soils, but it may not provide sufficient stabilization for cohesive or mixed soil types like marine deposits. These types of soils generally require more intensive stabilization techniques, such as cement stabilization or other soil improvement methods, to achieve the desired level of stability. Therefore, it would be advisable to explore alternative methods that are better suited to the specific soil conditions at the proposed site.

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Answer:

The answer is A pls mark me brainly

Answer:

Leonardo da Vinci painted

The total cost of materials and labor for the office space, considering a tile unit cost of P300 and labor cost equal to the materials cost, amounts to P63,000.

To calculate the total cost of materials and labor, we first need to determine the cost of the tiles. Given that the unit cost of a certain tile is P300, we can multiply this by the area of the office space to find the total cost of the tiles. The office space has an area of 63 sqm, so the total cost of the tiles is P300 * 63 = P18,900.

Next, we need to calculate the labor cost, which is 100% of the materials cost. Since the materials cost is P18,900, the labor cost will be equal to P18,900. Therefore, the total cost of labor is also P18,900.

To find the total cost of materials and labor, we add the cost of the tiles (P18,900) and the labor cost (P18,900): P18,900 + P18,900 = P37,800.

Therefore, the total cost of materials and labor for the office space is P37,800.

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Answer:

There is a zero at x = 1

Explanation:

The critical points of a function are where the slope of the function is zero.

Now, for our function, the slope is never zero on the given interval. Meaning no point on the function has a horizontal tangent line. This tells us that there is no point within the interval that has a zero slope. Hence, we conclude that the function does not have any critical points in the given interval.

Taking a further look at the graph, however, we see that the function intersects the x-axis at x = 1. Therefore, the function has a zero at x = 0.

Therefore, the fourth answer choice is the correct answer.

Answer:

Pretty sure that you have it right, B

Step-by-step explanation:

HI AGAIN BLUE DINO PERSON

Answer:  \(1.20x + 2.50 \le 20\)

Explanation:

x = number of cups of yogurt

1.20x = cost of all the yogurt only

1.20x+2.50 = adding on the cost of milk

We set this expression to be less than or equal to 20.

\(1.20x + 2.50 \le 20\)

In other words, the highest 1.20x+2.50 can go is 20 since $20 is her budget.

Answer:

468%

Step-by-step explanation:

Answer:

1.dd

2.Dd

3.dd

4.Dd

5.dd

Explanation:

It's genetics

   D     d

d   D     d

d   D     d

The rate of change of the volume of the sphere is 100,530.96 mm^3/s

How to calculate rate of change of the volume of the sphere?

Given,

radius = r = 80 / 2 = 40 mm

rate of change radius = \(\frac{dr}{dt}\) = 5 mm/s

Formula to calculate volume of the sphere is

\(V = \frac{4}{3}\pi r^{3}\)

Differentiating the volume formula and we get new formula to calculate rate of change of the volume.

\(\frac{dV}{dt} = \frac{4}{3}\pi 3r^{2}\frac{dr}{dt}\)

Simplify to

\(\frac{dV}{dt} = 4\pi r^{2}\frac{dr}{dt}\)

Now, we put the given value to formula and calculate it

\(\frac{dV}{dt} = 4\pi (40)^{2}(5)\)

\(\frac{dV}{dt} = 100,530.96\) mm^3/s

Thus, the rate of change of the volume of the sphere is 100,530.96 mm^3/s

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Answer:

c) k/3 + 17 = 12

#JUST A TEXT

The distance between the cars changes by 60.42mph.

Distance is a measurement of how far apart two objects or locations are. Distance in physics or common language can refer to a physical length or an assumption based on other factors. |AB| is a symbol that can be used to represent the distance between two points. "Distance from A to B" and "Distance from B to A" are frequently used interchangeably. A distance function or metric is a technique to describe what it means for elements of some space to be "close to" or "far away" from each other in mathematics. It is a generalization of the idea of physical distance. Through dimensions like time, space, and isolation, an object may be psychologically distanced from itself.

Calculations:

\(d=\sqrt{80^{2}+50^{2} } \\\)

d=94.34

1st car -- 40mph/hr

2nd car-- 50 mph/hr

The positions of cars at 4pm

Distance travelled by 1st car = 80m

Distance travelled by 2nd car = 50m

\(d^{2}=a^{2} +b^{2}\)

2d.dd/dt=2a(da/dt) +2b(db/dt) =d(dd/dt) =a(da/dt)+b(db/dt)=94.34(dd/dt)=50*50+80*40

dd/dt=(2500+3200)(94.34)  =60.419

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Answer:

2

Step-by-step explanation:

Answer:

The volume of the prism is 441 cm^3

Step-by-step explanation:

To find the volume of the prism we have the following formula

Mathematically, the volume of a rectangular prism is the product of the three sides of the prism

We have this as;

V = l * b * h

V = 4.2 * 15 * 7 = 441 cm^3