the cube and rectangular prism have the same base area and height. how can you use this information to determine the volume of the pyramid?

To find the greatest number of pieces measuring 1/7 meter that can be cut from a ribbon of length 7/8 meter, divide the length of the ribbon by the length of each piece. The greatest number of pieces that can be cut is 6. Subtract the total length of the 6 pieces from the original length of the ribbon to find how much ribbon will be left.

To find the greatest number of pieces measuring 1/7 meter that can be cut from a ribbon of length 7/8 meter, we need to divide the length of the ribbon by the length of each piece. So, 7/8 divided by 1/7 is equal to (7/8) x (7/1) = 49/8 = 6.125. Since we can't have a fraction of a piece, the greatest number of pieces that can be cut is 6. This means 6 pieces measuring 1/7 meter can be cut from the ribbon.

To find out how much ribbon will be left after cutting the 6 pieces, we need to subtract the total length of the 6 pieces from the original length of the ribbon. Each piece measures 1/7 meter, so the total length of the 6 pieces is (1/7) x 6 = 6/7 meter. Subtracting this from the original length, we get 7/8 - 6/7 = 49/56 - 48/56 = 1/56 meter. Therefore, there will be 1/56 meter of ribbon left after Sun Yi cuts the ribbon.

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Answer:

3,456,000

Step-by-step explanation:

brainliest please ;)

Answer:

Opens downward, like a frowning face

Step-by-step explanation:

Answer:

down

Step-by-step explanation:

Since the coefficient of the x^2 term is negative, the parabola makes a frown and opens upside down

Answer:

A=2

Step-by-step explanation:

3Ax - 24 = 5x - 9 + x   (simplifying the right side)

3Ax - 24  =  6x - 9

Equating the term x,

It will have no solution when  3A  = 6  ⇒   A   = 2

To see why:

3(2)x   - 24   =   6x - 24    

and this can never equate to 6x - 9 and have no solutions for x.

Answer: no, no, yes, no, yes, yes

Step-by-step explanation:

x + 1, 2x, these are not equivalent

no

10x, 5(x+5)

5(x+5) distribute the 5 to get 5(x+5) = 5x + 25

5x + 25 is not equal to 10x, so no

no

1 + 2x = 2x + 1, these are equivalent since the constant and coefficients are the same

yes

2x, 2x - 5, these are not equivalent since once has a constant of -5 while the other does not

no

15x -1, 3(x+4x) - (3-2)

3(x+4x) - (3-2) combine like terms

3(5x) - (1) multiply through parentheses

= 15x -1

so 15x - 1 = 3(x+4x) - (3-2), these are equivalent

yes

1/2 * (4x-2),2x-1

1/2 * (4x-2) multiply through parentheses to get

2x - 1

so these two are equivalent

yes

The answer #2 is no and the number #5 is yes.

#2 is no, as you cannot add or subtract if they are not similar. Since in the second part the answer is 5x + 25.

#5 is yes because when there is a subtraction in front of a parenthesis, expressions within the parenthesis must change their sign.

Answer:

Step-by-step explanation:

Sin 50° = [tex]\frac{opposite}{hypotenuese} = \frac{8}{n}[/tex]

[tex]n=\frac{8}{sin 50}[/tex] = 10.44

Cos 50° = [tex]\frac{adjacent}{hypotenuese} = \frac{m}{n}[/tex]

m = n cos 50 =  6.71

The value of each variable using sine and cosine are,

⇒ n = 10.44

⇒ m = 6.71

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in image.

Now, By using trigonometry identity we get;

⇒ sin 50° = Opposite / Hypotenuse

⇒ sin 50° = 8 / n

⇒ n = 8 / sin 50°

⇒ n = 10.44

And,

⇒ cos 50° = Adjacent / Hypotenuse

⇒ cos 50° = m / n

⇒ m = 10.44 cos 50°

⇒ m = 6.71

Thus, The value of each variable using sine and cosine are,

⇒ n = 10.44

⇒ m = 6.71

Therefore, The value of each variable using sine and cosine are,

⇒ n = 10.44

⇒ m = 6.71

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Answer:

  5 5/7 acres

Step-by-step explanation:

The product is ...

  (2 1/7 acres/section)(2 2/3 sections) = (15/7)(8/3) acres = 40/7 acres

  = 5 5/7 acres

The farmer owns 5 5/7 acres of land.

The farmer's land amounts to approximately 5.71 acres. The problem involves conversion of mixed numbers to improper fractions and multiplication.

The problem involves the concepts of multiplication and fractional numbers in mathematics. If one section is 2 1/7 acres and there are 2 2/3 such sections, you multiply these two amounts to find the total acreage. First, convert the mixed numbers to improper fractions: 2 1/7 becomes 15/7, and 2 2/3 becomes 8/3. Multiply the numerators together (15*8=120) and the denominators together (7*3=21) to get 120/21, which simplifies to about 5.71 acres.

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Answer:

30.5 hours

Step-by-step explanation:

If he were to average 8 hours PER week for 4 weeks, his total sum would have been:

8 * 4 = 32 hours

But he fell short of it. By how much?

By [tex]1\frac{1}{2}[/tex] hours!

So, he practiced 1  1/2 hours LESS THAN 32 hours, so his practice time is:

[tex]32-1\frac{1}{2}\\=32-1.5\\=30.5\\=30\frac{1}{2}[/tex]

So, he practiced 30.5 hours in the 4 weeks

Answer:

fraction 1 over 2 (18 × 4) = 36

[tex] \because [/tex]Area of standard triangle

[tex]= \frac{1}{2} \times base\times height. [/tex]

Where,

Base of triangle = lenght of rectangle = 18 feet

&

Height of triangle = width of rectangle = 4 feet

Answer:

37/86

Step-by-step explanation:

eh

The probability that the florist randomly selects a tulip for a bouquet using the given table is; 37/86

From the given table we see that;

Total number roses = 49

Total number of tulips = 37

Now, we want to find the probability that the florist randomly selects a tulip for a bouquet. Thus;

P(selecting tulip for a bouquet) = total number of tulips/total number of bouquets

Thus;

P(selecting tulip for a bouquet) = 37/(49 + 37)

P(selecting tulip for a bouquet) = 37/86

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Answer:

x = 49

Step-by-step explanation:

x + 14 = 63

x = 63 - 14

x = 49

Answer:

49

Step-by-step explanation:

Subtract 14 for both sides

Answer:

y=8x+6

Step-by-step explanation: Just add the 2x and the 6x together to get 8x, then add 6. All I did was simplify the equation.

Answer:

Step-by-step explanation:

Multiply the given values by any number you like. The results will be integers if the number is even.

  ×2 gives 3×2 : (3 1/2)×2 = 6 : 7

  ×3 gives 3×3 : (3 1/2)×3 = 9 : 10 1/2

  ×4 gives 3×4 : (3 1/2)×4 = 12 : 14

Answer:

Range: 12 - 32     Median: 15

Step-by-step explanation:

The range is pretty simple... It is the lowest number in the set to the highest number in the set. The lowest number is 12 and the highest number is 32.

The median of a set of numbers is the number that's in the middle. This is different from the mean because you're not finding the average, but actually the middle number.

To find the median, order the numbers from lowest to highest...

12,  13,  13,  15,  16,  19,  32

So, the median of this set is 15, because it is the middle number.

Answer:

x=2

Step-by-step explanation:

3x - 9x + 7 - 3 = -8

Combine like terms

-6x +4 = -8

Subtract 4 from each side

-6x +4-4 = -8-4

-6x = -12

Divide each side by -6

-6x/-6 = -12/-6

x = 2

Answer:

x=2

Step-by-step explanation:

add like terms (3x-9x= -6x, 7-3= 4)

then move the constant to the right (-8+4=-12)

finally divide it by 6 which gives you "x"

Answer:

The two numbers are 15 and 19

Sure, the two prime numbers that add up to 34 are 17 and 17.

Answer:

The two beverages can be (iced tea,fruit juice) or (iced tea,soda).

Step-by-step explanation:

Given : Beverages iced tea [tex]\frac{3}{8}[/tex], fruit juice [tex]\frac{2}{8}[/tex], water [tex]\frac{1}{8}[/tex], soda  [tex]\frac{2}{8}[/tex].

To find : Which two beverages have a sum of  [tex]\frac{5}{8}[/tex] of the students votes ?

Solution :

We have to get the two beverages whose sum became  [tex]\frac{5}{8}[/tex] .

The possible ways are

1) Iced tea + Fruit juice = [tex]\frac{3}{8}+\frac{2}{8}[/tex]

Iced tea + Fruit juice = [tex]\frac{5}{8}[/tex]

2) Iced tea + Soda = [tex]\frac{3}{8}+\frac{2}{8}[/tex]

Iced tea + Soda = [tex]\frac{5}{8}[/tex]

Therefore, the two beverages can be (iced tea,fruit juice) or (iced tea,soda).

NO.,the given measures can not be the lengths of the sides of a triangle

Step-by-step explanation

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

so, Find the range for the measure of the third side of a triangle given the measures of two sides.

here given measures are 2,2,6

2+2 = 4 which is less than the third side 6

        = 4 < 6    

This not at all a triangle.

Hence, the given measures can not be the lengths of the sides of a triangle

Answer:

  see below

Step-by-step explanation:

A golden rectangle is one that has an aspect ratio of the "golden ratio". That ratio is an irrational number:

  Φ = (1+√5)/2 ≈ 1.618034

This number is the positive solution to the equation ...

  x = 1/(x -1)

__

Books have been written about the properties of the Golden Ratio and all the ways it shows up in Nature and in mathematics. For example, the ratios of sequential numbers in the Fibonacci sequence approach the Golden Ratio in the limit.

__

The proportion is often called the "divine proportion" because of the ways it shows up in nature. Some say a rectangle with this proportion is most pleasing to the eye. Hence, it may show up in architecture and art for that reason. A 5×8 photo is approximately this shape.

(The 1.6:1 aspect ratio is one that used for some video screens. It isn't quite as wide as the 16:9 aspect ratio seen more commonly. It is somewhat longer and narrower than the aspect ratio of common paper sizes.)

_____

The attached graph shows rectangles with the proportion of Φ.

A Golden Rectangle is a rectangle with side lengths in the golden ratio (approximately 1:1.618), known for its aesthetically pleasing proportions. Its importance in architecture and art stems from its use to create harmonious and balanced designs. Students often study golden rectangles to improve their understanding of symmetry and composition in art and architecture.

A Golden Rectangle is a rectangle whose side lengths are in the golden ratio, approximately 1 : 1.618. This ratio is also known as Phi. The significance of the golden rectangle in architecture and art lies in its aesthetically pleasing proportions which have been utilised since antiquity. It is believed that the human eye finds shapes and proportions based on the golden ratio to be naturally beautiful.

In architecture and art, the golden rectangle has been used to structure designs with a sense of harmony and balance. Modern artists such as Georges Seurat and Piet Mondrian have integrated the golden rectangle into their works to create compositions that are pleasing to the eye.

When constructing a golden rectangle, students may use a computer drawing program, maintaining its proportions even when resizing it. They can use this golden rectangle as a template over scanned images of Renaissance paintings or their own compositions, incorporating elements such as doorways or windows that conform to its proportions.

By understanding and using the golden rectangle, students can explore symmetry and visually satisfying geometrical forms, enhancing their artistic or architectural work.

Answer:

volume of cube = side × side × side

Step-by-step explanation:

1120 × volume of one cube

1120× (1/8)

1120/8

= 140 units

Hope it helps you

Thanks

Answer:

Step-by-step explanation:

The given table is

x    f(x)

-2   -10

-1    -8

0    -6

1     -4

2    -2

3    0

Remember, x-intercept has the form [tex](k,0)[/tex] where [tex]k[/tex] is a real number. In other words, x-intercept are points with a null y-coordinate.

As you can see in the given table, the x-intercept is at [tex](3,0)[/tex].

Therefore, the right answer is the second choice.

The total cost is about $26.58

The total cost including the sales tax and the tip is approximately $26.58.

The total cost including the sales tax and the tip is calculated as follows:

First, calculate the sales tax by multiplying the bill amount by the sales tax rate:

Sales tax = $21.60 × 7% = $21.60 × 0.07 = $1.512.

Add the sales tax to the original bill to get the total after sales tax:

Total after sales tax = $21.60 + $1.512 = $23.112.

Next, calculate the tip by multiplying the total after sales tax by the tip rate:

Tip = $23.112 × 15% = $23.112 × 0.15 = $3.4668.

Finally, add the tip to the total after sales tax to get the final total cost:

Total cost including tip = $23.112 + $3.4668 = $26.58 (rounded to the nearest cent).

Answer:

right

Step-by-step explanation:

The sum of all three angle measures in a triangle will always equal 180 degrees. So, if you subtract 63 and 27 from 180 you will have your third angle measure, which is 90.

So now your 3 measures are 63, 27, and 90. Since one of the angles is a 90-degree angle, the triangle must be a right angle because a right angle has a measure of 90 degrees.

I hope this helps!

Answer:

Right triangle

Step-by-step explanation:

First angle of triangle = 63°

Second angle of triangle = 27°

Third angle of triangle = 180°-(63°+27°) = 90°   ∴sum of three angle of triangle is 180°

As one angle is 90°(right angle), therefore it is a right triangle.

Answer:

good for the farmer

Step-by-step explanation:

Answer:

He can grow stuff

Step-by-step explanation:

Speed is 231 ft/s.

Distance is 4620 ft.

Solution:

First we have to convert the unit of speed from m/s to ft/ s.

Then for 20 seconds, we have to calculate the feet covered by the parachute.

[tex]1 meter $=3.3$ feet\\\\$\frac{70 \frac{m}{s} \times 3.3 f t}{1 m}=231 \frac{f t}{s}$[/tex]

In 20 seconds, the parachute covers the distance of,

[tex]231 \frac{f t}{s} \times 20 s=4620 \mathrm {ft}[/tex]

Answer: its d and e

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

separate the two squares

the squares are 10 x 10 so the area is 100

since there are two of the same size squares that means 100 x 2

there ya go

Answer:

BC=BD

Step-by-step explanation:

This is the correct answer for Usatestprep

Answer:

BC=CD

Step-by-step explanation:

Answer:

The best is Option D, because the number 7.28 is between 7 and 8 which is a good estimate.

Step-by-step explanation:

Since the square root of 53 is:  7.28...

sqrt(36) = 6

sqrt(64) = 8

sqrt(81) = 9

sqrt(49) = 7

Option D would be the best estimate

Answer:  The best is Option D, because the number 7.28 is between 7 and 8 which is a good estimate.

Answer:

D

Step-by-step explanation:

A.√36 and √64  = 6 +8

B.√64 and √81  = 8+9

c.√36 and √49  6+7

D.√49 and √64  7+8

The estimate of 53? is below 8 and above 7 so it is D