Find the radius of K

Answer:

V≈2.53×105^5

Step-by-step explanation:

Base edge:  54

Height:  260

Formula to find volume is: V=a^2h /3

Hope this helps!

For this case we have that by definition, the volume of a square base pyramid is given by:

[tex]V = \frac {1} {3} * L ^ 2 * h[/tex]

Where:

L: It's the side of the square base

h: It's the height of the pyramid

According to the data we have:

[tex]L = 54\m\\h = 260\m[/tex]

Substituting in the formula:

[tex]V = \frac {1} {3} * (54) ^ 2 * 260\\V = \frac {1} {3} * 2916 * 260\\V = \frac {1} {3} * (758160)\\V = 252,720 \ m ^ 3[/tex]

Thus, the volume of the building is [tex]252,720 \ m ^ 3[/tex]

Answer:

[tex]252,720 \ m ^ 3[/tex]

Answer:

B and F

Step-by-step explanation:

the are equivalent but the are just is different orders

Answer:

8d + 1/3 + 5/7

1/3 + 5/7 + 8d

Step-by-step explanation:

Answer:

Option C is correct.

Step-by-step explanation:

We need to solve the equation:

tan 45° - 10 cos 60°

Finding value of tan 45° and cos 60° and solving:

tan 45° = 1 and

cos 60° = 0.5

= 1 - 10(0.5)

= 1- 5

= -4

So, Option C is correct.

Answer:

Step-by-step explanation:

First pull out  the common factor of ab

ab(8a^3 + (1/125)b^3)

This is basically the sum of cubes. The linear factor is

(2a + 1/5 b)

The other factor is these two factors squared and their multiplicand subtracted.

(2a^2 - 2/5 ab + 1/25b^2)

Now put  all this together and you get

ab(2a + 1/5 b)((2a^2 - 2/5 ab + 1/25b^2)

Answer: The first choice

Step-by-step explanation: You alsways distribute inside the paranethesis, so 2(x+3)+5 > 2x+ (2*3)+5

Answer:

Area of the semicircle = 100.48 cm²

Step-by-step explanation:

radius r = 8 cm

Area of the semicircle = [tex]\pi[/tex]r²/2

                                     = (3.14 * 8 * 8)/2 = 3.14 * 8 * 4 = 100.48 cm²

Answer:

D) y = x² + 6x + 7

x + y = 1

Step-by-step explanation:

Just simply substitute the solution into the equations to confirm their authenticities.

I am glad to help.

Answer:

The answer is D. y = x2 + 6x + 7

x + y = 1

Step-by-step explanation:

Answer:

[tex]\frac{\pi }{2}[/tex]

Step-by-step explanation:

In order to find the reference angle of a given angle, we have to determine its quadrant.

Since the angle given is:

[tex]\frac{3\pi }{2}[/tex]

The angle lies in third quadrant.

If the angle lies in the third quadrant, [tex]\pi[/tex] is subtracted from the given angle:

So,

[tex]Reference\ Agnle= \frac{3\pi }{2}-\pi\\= \frac{3\pi -2\pi }{2}\\=\frac{\pi }{2}[/tex]

So the reference angle for [tex]\frac{3\pi }{2}[/tex] is [tex]\frac{\pi }{2}[/tex] ..

Answer:

The best possible answer is 3.

[tex]91 \div 31[/tex]

is the equivalent to 91/31. When divided, the answer comes out to 2.935483871 which, when rounded up, is 3.

The value of the given expression 91/31 will be; 3. The correct option is A.

Expression in maths can be defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given expression will be calculated by;

=   91  /  31

=   2.93

≅  3

Therefore the value of the given expression is 3. The correct option is A.

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Answer:

The tank now has 434 liters

Step-by-step explanation:

5855-5421=434

Hello There!

Before we start, I am going to divide 3.5 by 2 because then we can multiply by 7 to see how far Jimmy can run in 70 minutes.

Jimmy can run 1.75 miles in 10 minutes.

To find out how many miles he can run in 70 minutes, we just multiply 1.75 by 7 and we get a product of 12.25

Jimmy Can Run 12.25 Miles In 70 Minutes

Answer: OPTION A.

Step-by-step explanation:

Given the equation [tex]\frac{c-1}{x}+d=cd[/tex], you need to solve for the variable "x":

Subtract "d" from both sides of the equation:

[tex]\frac{c-1}{x}+d-d=cd-d\\\\\frac{c-1}{x}=cd-d[/tex]

Multiply both sides of the equation by "x":

[tex](\frac{c-1}{x})x=x(cd-d)\\\\c-1=x(cd-d)[/tex]

Divide both sides of the equation by [tex](cd-d)[/tex]:

[tex]\frac{c-1}{cd-d}=\frac{x(cd-d)}{cd-d}\\\\\frac{c-1}{cd-d}=x[/tex]

Factor out "d" in the denominator and simplify. Therefore:

[tex]\frac{(c-1)}{d(c-1)}=x\\\\x=\frac{1}{d}[/tex]

The correct solution for the equation c-1/x+d=cd is x = -1/(cd - c - d). Unfortunately, none of the provided options, 1/d, d, or c/d match this solution.

To solve the equation c-1/x+d=cd, we first move the terms involving x to one side and the constant to the other side. So the equation becomes:

-1/x = cd - c - d.

We then take reciprocals on both sides (since we do not want x in the denominator) to get:

x = -1/ (cd - c - d). Thus, the solution of the given equation is x = -1/(cd - c - d).

Unfortunately, none of the options A) 1/d, B) d, or C) c/d match the obtained solution.

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Points P and Q are not the same due to their different positions in the division of the directed segment. Point P is closer to A while Point Q is closer to B.

Point P and Q are not the same point. In the directed segment from A to B, Point P divides the segment in a way that the ratio of AP to PB is 1:3, meaning Point P is closer to A. On the contrary, Point Q divides the segment from B to A in a way that the ratio of QB to QA is 1:3, implying that Point Q is closer to B. Therefore, P and Q have different positions on the segment.

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No, Point P and Q are not the same. P is closer to A because it partitions the directed segment from A to B, whereas Q is closer to B as it partitions the segment from B to A, taking into account the directionality of the segments.

In mathematics, partitioning points on a directed segment refers to dividing the segment into distinct parts according to a given ratio. Point P partitions the directed segment from A to B into a 1:3 ratio, which means P is one part from A and three parts from B. On the other hand, Point Q partitions the directed segment from B to A into a 1:3 ratio, indicating that Q is one part from B and three parts from A.

Given this, P and Q are not the same point. P is closer to point A and Q is closer to point B since the directionality of the segment is taken into account. The direction from A to B is not the same as the direction from B to A, so the points P and Q that partition these segments in a 1:3 ratio will end up at different locations.

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Answer:

(D) 30pi inches

Step-by-step explanation:

First, we use the given volume, the given height, and the formula of the volume of a cylinder to find the radius of the base. Then we use the radius of the base to find the circumference of the base.

[tex] volume = \pi r^2 h [/tex]

[tex] volume = 6750 \pi~in.^3 [/tex]

We set the formula equal to the volume and replace h with 30 in.

[tex] \pi r^2 h = 6750 \pi~in.^3 [/tex]

[tex] \pi r^2 \times 30 ~in. = 6750 \pi~in.^3 [/tex]

Divide both sides by 30pi in.

[tex] r^2 = 225 ~in.^2 [/tex]

Take the square root of each side.

[tex] \sqrt{r^2} = \sqrt{225 ~in.^2} [/tex]

[tex] r = 15~in. [/tex]

The radius of the base is 15 in.

Now we use the radius of the base and the formula of the circumference of a circle to find the answer.

[tex] circumference = 2 \pi r [/tex]

[tex] circumference = 2 \pi \times 15~in. [/tex]

[tex] circumference = 30 \pi ~in. [/tex]

Answer:

C) 5

Step-by-step explanation:

[tex]\frac{6x²+19x+10}{2x+5}[/tex]

= [tex]\frac{3x(2x+5)+2(2x+5)}{2x+5}[/tex]

= [tex]\frac{(2x+5)(3x+2)}{2x+5}[/tex]

= 3x+2

which means that if they want us to find what ax+b is, you can figure out that ax+b is similar to 3x+2 and plug in what they want us to solve for, a+b.

ax+b=3x+2 (hence 3=a and 2=b)

wants: a+b

answer: 3+2= 5

hope this helps! :)

Answer:

100 + 40 + 40 + 40 + 40

Step-by-step explanation:

area of base = 10 x 10 = 100 square units

area of each triangular side = 0.5 x 10 x 8 = 40 square units.

Total area = 1 base + 4 sides

= 100 + 40 + 40 + 40 + 40

Answer:  [tex]\bold{(0,-\sqrt{26})\quad \&\quad (0,\sqrt{26})}[/tex]

Step-by-step explanation:

[tex].\qquad y^2-25x^2=25\\\\\implies \dfrac{y^2}{25}-\dfrac{25x^2}{25}=\dfrac{25}{25}\\\\\\\implies \dfrac{y^2}{25}-\dfrac{x^2}{1}=1\\\\\\Center: (0, 0)\\Length\ of\ foci:25+1=c^2\implies \sqrt{26}=c\\Foci: (0,0\pm \sqrt{26})[/tex]

Answer: [tex]x=-4[/tex]

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

[tex]y=mx+b[/tex]

Where "m" is the slope of the line and "b" is the y-intercept.

We know that the slope of this line is:

[tex]m=-\frac{1}{2}[/tex]

And the y-intercept is:

[tex]b=-2[/tex]

Since the line intersects the x-axis when [tex]y=0[/tex], we can substitute values into  [tex]y=mx+b[/tex]:

 [tex]0=-\frac{1}{2}x-2[/tex]

The final step is to solve for "x", then:

[tex]2=-\frac{1}{2}x\\\\(2)(-2)=x\\\\x=-4[/tex]

Answer:

the answer is y=-1

Answer: -1

Step-by-step explanation: The horizontal line represents the x axis and the verticle line represents the y axis. The line comes into contact with the verticle line at -1, making it your point of interception.

Answer:

[tex]\large\boxed{y=\dfrac{1}{4}x+3}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept → (0, b)

From the graph we have the points (4, 4) and (0, 3) → b = 3.

We have the equation:

[tex]y=mx+3[/tex]

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put the coordinates of the points:

[tex]m=\dfrac{3-4}{0-4}=\dfrac{-1}{-4}=\dfrac{1}{4}[/tex]

Finally we have:

[tex]y=\dfrac{1}{4}x+3[/tex]

Answer:

5

Wow the wording of these questions keeps getting more like a version of clue than a school exam or test. Goodluck!

The largest number that should be added to -11 to obtain a sum less than -5 is 5.

To find the largest number that should be added to –11 to get a sum less than –5 you need to relate these two numbers. If you add a number to -11 that brings you exactly to -5, it means you're adding 6 (because -11 + 6 = -5). However, you need the sum to be less than -5. So the largest number you can add to -11 to get a number less than -5 would be 5 (because -11 + 5 = -6, and -6 is less than -5). So, the answer is 5.

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The student skipped the step of converting seconds to minutes in the process of converting seconds to hours. He directly converted seconds to hours, which led to the erroneous result. This emphasizes the importance of correctly applying conversion ratios in mathematical calculations.

The student missed the step of converting minutes into seconds. When attempting to convert seconds to hours, a two-step conversion is required: first, convert seconds into minutes, then, convert the minutes into hours. The correct conversion would therefore be: 720 seconds * (1 minute/60 seconds) * (1 hour/60 minutes) = 0.2 hours.

In the step the student skipped, he directly went from seconds to hours without taking into account that there are 60 seconds in a minute. Therefore, the conversion ratio that the student skipped is '1 minute equals 60 seconds'.

This process of using conversion ratios to convert between units of measure is an important mathematical skill that is often seen in science calculations, such as in physics and chemistry.

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The student erred by skipping the conversion ratio 1 hour/60 minutes. After converting 720 seconds into 12 minutes, they didn't convert these minutes into hours, which would give the correct result, 0.2 hours.

The student trying to convert 720 seconds into hours made an error by skipping a crucial conversion ratio. The correct process of converting seconds to hours involves two steps. Firstly, we know that there are 60 seconds in a minute. So, 720 seconds = 720/60 = 12 minutes. However, the student stopped here, forgetting that there are also 60 minutes in an hour. So the skipped conversion ratio is 1 hour/60 minutes. Therefore, to convert the 12 minutes into hours we use this ratio and get 12 minutes * (1 hour/60 minutes) = 0.2 hours.

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Answer:

The new price is 11.31 dollars.

Step-by-step explanation:

It is marked down by 22 percent, or 78 percent of original.

.78 * 14.50 = 11.31

Answer:

The new price is 11.31

Step-by-step explanation:

Find the mark down

14.50 * 22%

14.50 * .22

3.19

Subtract this from the original price

14.50-3.19

11.31

The new price is 11.31

Answer:

Angle E is the included angle between the sides FE and DE

The included angle between sides FE and DF is the angle F

Step-by-step explanation:

we know that

An included angle is the angle between two sides of a triangle

In the triangle DEF

we have

The included angle F is the angle between the sides FE and FD

The included angle E is the angle between the sides FE and DE

The included angle D is the angle between the sides DF and DE

therefore

In this problem

Angle E is the included angle between the sides FE and DE

The included angle between sides FE and DF is the angle F

Answer:

36

Step-by-step explanation:

Note that the missing side is X

30/20 = X/24

30/20(24) = X

36 = X

Answer:

B . [tex]f(x+h)=\frac{x+h}{1+x+h}[/tex]

Step-by-step explanation:

Given function is:

[tex]f(x)=\frac{x}{1+x}[/tex]

Sall h is used to denote minor change in function. The value of the new function f(x+h) will be calculated by putting x+h in place of x in the function.

So putting x+h in place of x

[tex]f(x+h)= \frac{x+h}{1+(x+h)}\\=\frac{x+h}{1+x+h}[/tex]

So, option B is the correct answer ..

Answer:

22

Step-by-step explanation:

Pretend the 10 values in the first sentence are a,b,c,d,e,f,g,h,i,j

Pretend the addition 5 values is k,l,m,n,o

So the mean of all the 15 data is (a+b+c+d+e+f+g+h+i+j+k+l+m+n+o)/15=20

So the sum of all 15 data is  a+b+c+d+e+f+g+h+i+j+k+l+m+n+o=300                since 15(20)=300

Now let's look at the first 10:  We have their mean so we can write:

(a+b+c+d+e+f+g+h+i+j)/10=19

so a+b+c+d+e+f+g+h+i+j=190                               since 10(19)=190

So that means using our first sum equation and our equation sum equation we have

190+k+l+m+n+o=300

      k+l+m+n+o=300-190

      k+l+m+n+o= 110

So the average of those 5 numbers mentioned in your problem is 110/5=22

Step-by-step answer:

Given:

Distance = 2464 miles

downwind time = 14 hours

upwind time  = 16 hours

Solution:

downwind speed  = 2464 / 14 = 176 mph

upwind speed = 2464 / 16 = 154 mph

Average speed = still air speed

= (176+154)/2

= 330/2

= 165 mph

Time required

= 2464 / 165

= 14.933 hours

= 14 hours 56 minutes.

Final answer:

The plane's speed in still air is 165 mph, and the wind's speed is 11 mph.

Explanation:

To solve the problem of finding the plane's speed in still air, and the wind speed, we can set up two equations based on the given information. Let the plane's speed be 'p' and the wind's speed be 'w'.

With the wind, the effective speed of the plane is 'p + w', and it travels 2464 miles in 14 hours. So we can write the equation:

2464 miles = (p + w) × 14 hours

Into the wind, the effective speed of the plane is 'p - w', and it travels the same distance in 16 hours. The second equation is:

2464 miles = (p - w) × 16 hours

Dividing the distance by the time in each equation gives:

By solving these two equations simultaneously, we can find the plane's speed and the wind's speed.

First, calculate the speed with and against the wind:

Now, we can add these two equations to eliminate 'w' and solve for 'p':

2p = 330 mph

p = 165 mph

The plane's speed in still air is 165 mph. To find the wind's speed 'w', we subtract one equation from the other:

The wind's speed is 11 mph.

Answer:

it is 62.5%

Step-by-step explanation:

you can find the percent by moving the decimal point over to the right twice. you can have decimal percents but some questions will ask you to round.

it works because it technically means 625 out of 1000 because it is the thousandths place

y - y1 = m(x - x1) is the general point slope form

y - 3 = 5(x - 4) plug in the given values

y - 3 = 5x - 20

y = 5x - 20 + 3

y = 5x - 17

The answer in slope intercept form is y = 5x-17

If you want to convert to standard form, then

y = 5x - 17

y+17 = 5x

17 = 5x - y

5x - y = 17 which is the answer in standard form (Ax + By = C)