The community garden offers square gardens with
an area of 18 ft. squared. What is the length of the
sides on the garden?

HELP!

Answer:

The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).

Step-by-step explanation:

Answer:

192 cubic feet

Step-by-step explanation:

The volume V of a triangular pyramid is given by the formula:

V = (1/3) * base area * height

where base area is the area of the triangular base.

In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:

base area = length * width = 8 ft * 8 ft = 64 sq ft

Substituting the given values into the formula, we get:

V = (1/3) * 64 sq ft * 9 ft

V = 192 cubic feet.

Therefore, the volume of the triangular pyramid is 192 cubic feet.

Answer: I am confused by this can you explain further

Step-by-step explanation:

Answer:

Step-by-step explanation:

All of the other answers except for PQY are lines. You can assume that the answer is PQY.

The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

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Answer:

X=4

Step-by-step explanation:

distribute the 4 to the ones in the parenthesis

-4x+28=12

move the 28 over and change the sign

-4x=-16

divide by -4

x=4

Answer:

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Step-by-step explanation:

Answer:

Perpendicular lines are when two lines intersect each other at 90 degrees, parallel are when the two lines never touch, and also have the same slope, and then intersecting is when two or more lines cross each other in a plane.

Step-by-step explanation:

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Answer:

picture attached

Answer:

C.

Step-by-step explanation:

4(x + 1) + 7(x + 3)= 4*x+4*1 + 7*x+7*3 = 4x+4 +7x +21 = 11x + 25

C

Step-by-step explanation:

4x+4+7x+21

11x+25

you have to combine like terms

Answer:

4/9

Step-by-step explanation:

8/2=4

18/2= 9

Answer = 4/9

NOTE: JUST SIMPLIFY 2 IN BOTH SIDES

Please mark as brainliest if answer is right

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Answer:

9

Step-by-step explanation:

8x - 4x = 36

4x = 36

x = 36/4 = 9

Answer:

9

Step-by-step explanation:

8n-4n=36

n=9

8(9)-4(9)=36

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

17/20

Step-by-step explanation:

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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Answer:hi

Step-by-step explanation:

Answer:

We are simply manipulating the equation: a =  bh//2 to solve for the h. So we divide both sides of this equation by 1/2b to isolate the h variable and get: h(a) = 2a/b.

Step-by-step explanation:

1. The distance from the center of the planet to the satellite is approximately 17658 miles.

2. Approximately 2.61% of the planet's equator is within range of the satellite's signal.

3. It takes approximately 0.1005 seconds longer for the satellite signal to reach point B compared to point E.

4. The satellite must travel at approximately 8 miles/second to complete one revolution in 36 hours.

To solve these problems, use basic geometric principles and formulas.

1. Finding the distance: From the information given, we can see that the radius of the planet is 3,500 miles, and the distance from the edge of the planet to the satellite is 18,000 miles. Use the Pythagorean theorem to find the distance from point A to point C (the center of the planet).

Consider the right triangle ABC, where AB is the radius of the planet, BC is the distance from the edge of the planet to the satellite, and AC is the distance from the center of the planet to the satellite.

Using the Pythagorean theorem:

AC² + AB² = BC²

Substituting the known values, we get:

AC² + 3500² = 18000²

AC² = 18000^2 - 3500^2

AC² = 324000000 - 12250000

AC² = 311750000

Taking the square root of both sides, we find:

AC = √311750000

AC ≈ 17658 miles (rounded to the nearest mile)

Therefore, the distance from the center of the planet to the satellite is approximately 17658 miles.

2. Finding the percentage of the planet's equator within range of the satellite's signal:

To find the percentage of the planet's equator within range of the satellite's signal, we need to calculate the angle subtended by the distance between points B and D (i.e., the arc BD) at the center of the planet.

The circumference of the circle represents the planet's equator. Since the distance between points B and D represents the greatest distance at which the signal can be received directly, it corresponds to the arc length of the signal's coverage.

Using the formula for the circumference of a circle, C = 2πr, calculate the circumference of the planet's equator:

C = 2π(3500)

C ≈ 21991 miles (rounded to the nearest mile)

Now, calculate the angle m∠BAC in degrees:

m∠BAC = 9.4°

To find the length of the arc BD, use the formula for the circumference of a circle and convert the angle to radians:

Arc length = (angle in radians) × (radius of the circle)

Arc length = (9.4° / 360°) × (21991 miles)

Arc length ≈ 573.24 miles (rounded to the nearest hundredth)

Therefore, the signal covers an arc length of approximately 573.24 miles along the planet's equator.

To find the percentage of the planet's equator within range of the satellite's signal, divide the arc length by the circumference of the equator and multiply by 100:

Percentage = (Arc length / Circumference of equator) × 100

Percentage = (573.24 / 21991) × 100

Percentage ≈ 2.61% (rounded to two decimal places)

Therefore, approximately 2.61% of the planet's equator is within range of the satellite's signal.

3. Finding the time difference between point B and point E:

To find the time difference between point B and point E, calculate the difference in distances divided by the speed of the satellite signal.

The distance from the satellite to point B is the radius of the planet plus the distance from the edge of the planet to the satellite:

Distance from A to B = 3500 + 18000 = 21500 miles

The distance from the satellite to point E is

the radius of the planet:

Distance from A to E = 3500 miles

Using the formula: Time = Distance / Speed, we can calculate the time difference:

Time difference = (Distance from A to B - Distance from A to E) / Speed

Time difference = (21500 - 3500) / 186000

Time difference ≈ 0.1005 seconds (rounded to the nearest hundredth)

Therefore, it takes approximately 0.1005 seconds longer for the satellite signal to reach point B compared to point E.

4. Finding the speed of the satellite:

The time taken for one complete revolution by the satellite is given as 36 hours. To find the speed of the satellite, we need to convert the time to seconds and calculate the distance traveled during that time.

Given:

Time for one revolution = 36 hours

Speed of light = 186,000 miles/second

First, let's convert the time to seconds:

Time = 36 hours × 60 minutes/hour × 60 seconds/minute

Time = 36 × 60 × 60 seconds

Time = 129,600 seconds

During one complete revolution, the satellite travels the circumference of the circle with a radius equal to the distance from the center of the planet to the satellite.

Circumference = 2π × (distance from the center of the planet to the satellite)

Circumference = 2π × 17658 miles

Speed = Circumference / Time

Speed = (2π × 17658 miles) / 129,600 seconds

Calculating this value:

Speed ≈ 8.134 miles/second (rounded to the nearest whole number)

Therefore, the satellite must travel at approximately 8 miles/second to complete one revolution in 36 hours.

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The area of the shaded part is 704mm²

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

The area of the shaded part = area of the whole shape - area of the unshaded part

Area of the whole shape = l×w

= 54 × 16

= 864mm²

Area(1) of the unshaded part = 1/2bh

= 1/2 ×16×8

= 64mm²

Area( 2) of the unshaded part = 1/2bh

= 1/2 ×8 × 8

= 32mm²

Area(3) of the unshaded part = l×w

= 8×8 = 64mm²

therefore the total area of the unshaded part =

64+32+64 = 160mm²

therefore the area of the shaded part = 864-160 =

704mm²

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Given:

The triangles  ΔKRO and ΔKCO are right triangles with common leg and congruent hypotenuse. It is sufficient for HL (Hypotenuse - leg) congruence. RK and KC are hypotenuse and OK is common leg.

     Statement                                       Reason                

Given:

To prove FG ≅ AG, we'll first prove the triangles are congruent by AAS as we have one congruent angle pair, one side is common to both triangles, another pair of congruent angles is formed by the angle bisector. The common side is adjacent to one of the congruent angles but not included.

     Statement                                       Reason                

Answer:

5 ft

Step-by-step explanation:

The formula for Volume is V=lwh, or Volume = length x width x height.

The equation would be:

\(180=l(4)(9)\)

or

\(180=36l\)

To find the answer, divide by 36.

\(\frac{180}{36} =\frac{36l}{36}\)

\(5=l\)

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

The algorithm justifies the answer of 3/5 as the fraction each person gets.

Representation of the fractions on the second row:

From what you described, two of the loaves were divided into thirds.

This means each person receives one third, and there is one third remaining. Then, this remaining third from the second loaf was further divided into fifths.

Therefore, each person receives one fifth from this remaining third.

So, the representation of the fractions on the second row would be:

Each person receives 1/3 (one third) from the two loaves.

Each person receives 1/5 (one fifth) from the remaining third.

Algorithm/Abstract strategy to justify the 3/5 found as the answer:

To find the final answer of 3/5, we can follow the steps you provided:

Divide two loaves into thirds, giving each person 1/3.

Divide the remaining third from the second loaf into fifths, giving each person 1/5.

Combining the fractions, each person has 1/3 + 1/5.

To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 5 is 15. We can convert 1/3 and 1/5 to have a denominator of 15:

1/3 = 5/15 (multiplying numerator and denominator by 5)

1/5 = 3/15 (multiplying numerator and denominator by 3)

Now, we can add the fractions:

5/15 + 3/15 = 8/15

Therefore, each person receives 8/15 of a loaf.

Simplifying this fraction, we get 3/5.

Hence, the algorithm justifies the answer of 3/5 as the fraction each person gets.

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Answer:

9.7

Step-by-step explanation:

The mean is the same as the average value of a data set and is found using a calculation.

Add up all of the numbers and divide by the number of numbers in the data set.

Hope this helps! :)

Answer: 9.7

Step-by-step explanation:

Mean means to add up the values and divide it by how many numbers there are, so 10 + 8 + 12 + 10 + 7 + 11 + 13 + 6 + 15 + 5 = 97, then 97 / 10 = 9.7

Mr. Casey's class raised $448 during the fundraiser.

Percentage is simply number or ratio expressed as a fraction of 100.

Given that, Ms. Dawson’s class raised $560, which is 25% more than Mr. Casey’s class raised.

To determine ​how much Mr. Casey’s class raised,

We represent the amount raised by Mr. Casey's class as "x".

Since Ms. Dawson's class raised 25% more than Mr. Casey's class.

To calculate 25% more than x, we can multiply x by 1.25

(since 25% is equivalent to 0.25 in decimal form and 100% is 1) and set it equal to $560.

Hence:

1.25x = 560

To solve for x, we divide both sides of the equation by 1.25:

x = 560 / 1.25

x = 448

Therefore, Mr. Casey's class raised $448.

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SOLUTION

Step 1 :

In this question, we are meant to calculate the average rate of the change over the

interval

Step 2 :

For the average rate of change, we need to do the following calculations:

putting x = 4 in

putting x = 2 in

CONCLUSION: The average rate of change = 6.

Answer:

100/1738*1580 = 90.9090909091

Step-by-step explanation:

\(\frac{1 }{8*a^{9}*b^{12}}\).

\((\frac{a^{-3} }{2b^{4} } )^{3}\)

\(\frac{a^{(-3*3)} }{2^{(3)} b^{(4*3)} } \\ \\\frac{a^{(-9)} }{8b^{(12)} }\\ \\\frac{a^{-9} }{8b^{12} }\)

\(\frac{1 }{8b^{12} *a^{9}}\\ \\\frac{1 }{8*a^{9}*b^{12}}\)

\((\frac{a^{-3} }{2b^{4} } )^{3}=\frac{1 }{8*a^{9}*b^{12}}\).

Answer:

8% multiped by what ever the decimal is

Step-by-step explanation:

5% + 3% = 8%

Answer: A and D

Step-by-step explanation:

Table B : not a function the value of x=3 has two images

Table C: not a function the value of x=1 has two images

Tables A and D are functions