The area of each of the bases will be m2.


The area of the right and left lateral faces will be m2.


The area of the front and back lateral faces will be m2.


The lateral area of the prism will be m2.

The surface area of the prism is 22 m2.

The sum of the angle ∠T and angle ∠U will be a 180°. Then the angle ∠U will be 68°.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

Trapezoid RSTU is a cross-section of a lampshade.

The diagonals of RSTU are congruent, and the measure of angle S is 112 degrees.

Then the measure of angle U will be

Angle S and angle T are equal.

∠S = ∠T = 112°

And the sum of the angle ∠T and angle ∠U will be a 180°.

Then we have

∠T + ∠U = 180°

112° + ∠U = 180°

         ∠U = 68°

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The measure of angle U in the trapezoid RSTU with congruent diagonals and angle S measuring 112 degrees is 68 degrees, using the properties of an isosceles trapezoid.

To find the measure of in the trapezoid RSTU, with diagonals congruent and the measure of angle S being 112 degrees, we need to use the properties of a trapezoid and the fact that the diagonals are congruent. In an isosceles trapezoid, the base angles are congruent, meaning angles S and U are congruent because diagonals are congruent. Since the sum of angles in a quadrilateral is 360 degrees, we can set up an equation: 2(112) + 2(angle U) = 360.

Solving for angle U, we get:

Hence, the measure of angle U in the trapezoid RSTU is 68 degrees.

Answer:

The values of the table of costs in the explanation

Step-by-step explanation:

Let

x ---->the cost of one metre of polyester fabric

y ----> the cost of one metre of cotton fabric

we know that

The ratio of the cost of one metre of polyester fabric to the cost of one metre of cotton fabric is

[tex]\frac{x}{y}=\frac{2}{7}[/tex]

Complete the table

Part 1) For 2 metres of fabric

To find out the costs multiply the ratio by the fraction 2/2

so

[tex](\frac{2}{2})\frac{2}{7}=\frac{4}{14}[/tex]

therefore

[tex]x=\£4\\y=\£14[/tex]

Part 2) For 6 metres of fabric

To find out the costs multiply the ratio by the fraction 6/6

so

[tex](\frac{6}{6})\frac{2}{7}=\frac{12}{42}[/tex]

therefore

[tex]x=\£12\\y=\£42[/tex]

Part 3) For 8 metres of fabric

To find out the costs multiply the ratio by the fraction 8/8

so

[tex](\frac{8}{8})\frac{2}{7}=\frac{16}{56}[/tex]

therefore

[tex]x=\£16\\y=\£56[/tex]

Part 4) For 9 metres of fabric

To find out the costs multiply the ratio by the fraction 9/9

so

[tex](\frac{9}{9})\frac{2}{7}=\frac{18}{63}[/tex]

therefore

[tex]x=\£18\\y=\£63[/tex]

Answer: 3/10 of a mile

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the 2/5 of the way that she travelled on her bike before it broke by the total distance (3/4 of a mile)

2/5 x 3/4 = 3/10 of a mile  

She travelled 3/10 of a mile on her bike before it broke

Feel free to ask for more if needed or if you did not understand something.

Rose traveled [tex]\( \frac{3}{10} \)[/tex] of a mile on her bike before it broke, found by multiplying 2/5 by 3/4. Equation: Distance on bike = (2/5) × (3/4).

To find out what fraction of a mile Rose traveled on her bike before it broke, we need to find 2/5 of 3/4 mile.

[tex]\[ \text{Distance traveled on bike} = \left(\frac{2}{5}\right) \times \left(\frac{3}{4}\right) \][/tex]

[tex]\[ = \frac{2}{5} \times \frac{3}{4} \][/tex]

[tex]\[ = \frac{2 \times 3}{5 \times 4} \][/tex]

[tex]\[ = \frac{6}{20} \][/tex]

[tex]\[ = \frac{3}{10} \][/tex]

So, Rose traveled [tex]\( \frac{3}{10} \)[/tex] of a mile on her bike before it broke.

The equation for this would be:

[tex]\[ \text{Distance on bike} = \left(\frac{2}{5}\right) \times \left(\frac{3}{4}\right) \][/tex]

Complete Question:
Rose lives 3/4 of a mile from her cousin. One day she rode her bike to her cousin's house. When she got 2/5 of the way there, her bike chain broke and she had to walk the rest of the way. What part of a mile did Rose go on her bike before it broke? Show your work and write an EQUATION in the box to the right.

Answer:

(8r) ^ 15

Step-by-step explanation:

(8r) ^-5 ^-3

We know that a^b^c = a^ (b*c)

(8r) ^-5 ^-3 = (8r) ^ (-5*-3)  = (8r) ^ 15

Answer:

Step-by-step explanation:

I have proof! Try answer C: or :b

haha smiley face..if not...here's some memes that i hand made....

Answer:

the answer is c

Step-by-step explanation:

Answer:

The answer is -3x because the red tiles represent -x so since there are 3 -x tiles the answer would be -3x

Do I choose A or B?

If so: B

Answer:

i believe is c

Step-by-step explanation:

because you addd 10 plus 8 times 6.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the floor that will be covered by the Matt is 24 sq. ft.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.

The area of the floor covering will be equal to the area of the triangular carpet. Therefore, using the Heron's formula we can write,

s = (10+8+6)/2 = 12

Area of the triangle = √[12(12-10)(12-8)(12-6)] = √(12×2×4×6) = 24 sq ft.

Hence, the area of the floor that will be covered by the Matt is 24 sq. ft.

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Answer:

B,C,D

Step-by-step explanation:

The correct option is (10,24,26) , (12, 16, 20) and (12, 35, 37).

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. We use special words to describe the sides of right triangles.

A right triangle is a triangle with one right angle (one angle equal to 90°). The side opposite the right angle (the longest side) is called the hypotenuse. The remaining two sides (the sides that intersect to determine the right angle) are called the legs of the right triangle.

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Final answer:

The percent increase of the waterpark's entry fee is approximately 30.36%, which is calculated by finding the difference between the new and original cost, dividing by the original cost, and then converting that number to a percentage.

Explanation:

To calculate the percent increase of the entry fee to the waterpark, we need to follow these steps:

Step 1: The increase in cost is $73 - $56 = $17 per person.

Step 2: The increase divided by the original cost is $17 ÷ $56 ≈ 0.30357.

Step 3: To find the percent increase, we multiply the result from step 2 by 100: 0.30357 × 100 ≈ 30.36%.

Therefore, the percent increase of the entry fee is approximately 30.36%.

To find the percent increase in the entry fee, subtract the old fee from the new fee, divide by the old fee, and multiply by 100. The entry fee increase is approximately 30.36%.

To find the percent increase in the entry fee, you need to calculate the difference between the new fee and the old fee, and then divide that difference by the old fee. Finally, multiply the result by 100 to get the percentage.

The entry fee increase is approximately 30.36%.

Answer:

[tex]A = 1172.965\,cm^{2}[/tex]

Step-by-step explanation:

Let be a side of 12 cm (l) and an apothem of 19 cm (p). First, the number of sides has to be determined:

[tex]n =\frac{360^{\textdegree}}{2\cdot \tan^{-1}\left(\frac{6\,cm}{19\,cm} \right)}[/tex]

[tex]n = 10.271[/tex]

The polygon has ten sides and the side length shall be re-adjusted:

[tex]\theta = \frac{360^{\textdegree}}{10}[/tex]

[tex]\theta = 36^{\textdegree}[/tex]

The side length is:

[tex]l = 2\cdot (19\,cm)\cdot \tan 18^{\textdegree}[/tex]

[tex]l = 12.347\,cm[/tex]

The area of the polygon is:

[tex]A = \frac{n\cdot l \cdot p}{2}[/tex]

[tex]A = \frac{(10)\cdot (12.347\,cm)\cdot (19\,cm)}{2}[/tex]

[tex]A = 1172.965\,cm^{2}[/tex]

Answer:

"Lack of planning on your part doesn't require an emergency on my part."

Step-by-step explanation:

Doesnt it say it in the photo?

Answer:

23

Step-by-step explanation:

its 23 beacuase 1104 divided by 48 is 23 so its 23 chips

Answer: 23

Step-by-step explanation: 1,104 divided by 48 = 23

Answer:

Step-by-step explanation:

5-0.5i

Answer:

A and D

Step-by-step explanation:

Got it right :)

Final answer:

The true statement about the new trapezoid is that the area of the new trapezoid is \(1/16\) times the area of the original trapezoid, assuming that all dimensions are scaled down by the same factor.

Explanation:

The area of a trapezoid is given by the formula: [tex]Area = \((base_1 + base_2) / 2\) * height[/tex]. For the original trapezoid with bases of 18 feet and 12 feet and a height of 4 feet, the area is [tex]\((18 + 12) / 2\) * 4 = 60[/tex] square feet. If the dimensions of the trapezoid are scaled down or up, the new height and area can be determined by using the same proportionality principle that applies to triangles. If the height is reduced by a factor of 4, which means the new height is 1 foot, then the area will also be reduced by the same factor squared (since area is a two-dimensional measure). Therefore, the new area will be 1/16 times the original area, which equals 60 / 16 = 3.75 square feet.

Answer:

Yes

Step-by-step explanation:

The order of the factors does not alter the product

Yes because of your property’s

Answer:

Total score = 39 points

Step-by-step explanation:

For each correct question, you get 2 points, and there are 22 correct questions, so:

22 * 2 = 44 points.

For each question left blank, you get 0 points, and there are 7 questions left blank, so:

7 * 0 = 0 points

For each incorrect question, you get -1 point, and there are 5 incorrect questions, so:

5 * (-1) = -5 points.

The total number of points is:

Score = 22*2 + 7*0 + 5*(-1) = 44 + 0 - 5 = 39 points

Answer:

Answer is x= -4 and y= 3

Step-by-step explanation:

[tex]given \: equations \: are \\ 3x + 4y = 0 \: \: and \: 2x + 3y = 1 \\ multiply \: by \: 2 \: in \: first \: equation \\ 6x + 8y = 0 \\ multiply \: by \: 3 \: in \: second \: equation \\ 6x + 9y = 3 \\ subtracting \: the \: above \: mentioned \: equation \: \\ we \: get \: - y = - 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = 3 \\ substitute \: y = 3 \: in \: first \: equation \\ 3x + 4(3) = 0 \\ 3x = - 12 \\ x = - 4[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

D) 19.5 in^2

Step-by-step explanation:

Volume is 1/3base * height

52in^3 = 1/3x*8

multiply by 3

156in^3 = x*8

divide by 8

19.5 = x

x = 19.5

Answer:

D

Step-by-step explanation:

Answer: The Answer is B

Step-by-step explanation:

The first box has all 5's so it's just going to be a straight line.

The third box is a negative correlation because the number are going down in the right column

The fourth column doesn't make any sense because the X column has all 8's

So the answer is B.

Hope this helps : )

The table shows a positive correlation in B; The first column is labeled x with entries 1, 2, 3, 4, and 5. The second column is labeled y with entries 10, 18, 31, 37, and 52. A 2-column table with 5 rows.

The correlation of two pairs of data values tells about the degree of movement that can occur in one of the data when another data value is increased or decreased respectively.

Since it is called that the Correlation coefficient is a measure of how similar two datasets are acting.

The first box has all 5s =hence,  it's just going to be a straight line.

The third box is a negative correlation due to the number is going down in the right column

The fourth column, the X column has all 8's

Hence, the answer is B.

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Answer:

3.73333

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distance = 4/5 of 4 2/3

[tex]=\frac{4}{5}*\frac{14}{3}\\\\=\frac{4*14}{5*3}[/tex]

= 56/15

= 3 11/15 miles

Answer:

a) 3x5³

b) 75

Step-by-step explanation:

a) find the Prime factors of 375 by dividing your number by prime numbers (you answers must be whole) use a factor tree to help you

a) do the same to 150

one you have you answers in this case we have

375- 3x5x5x5

150 - 2x3x5x5

you collect all the like terms, this will be 3x5x5 then you just simply multiply it And it gives you 75

375 as a product of prime factors is 3x5^3 and the highest common factor of 375 and 150 is 25.

To express 375 as the product of prime factors, you must first determine the prime numbers that when multiplied together will equal 375. The prime factors of 375 are 3 and 5. So, 375 can be written as 3x5^3.

Next, to find the highest common factor of 375 and 150, you need to first find the prime factors of both numbers. As shown above, the prime factors of 375 are 3 and 5. The prime factors of 150 are 2, 3 and 5.

The highest common factor is identified by locating the largest number that can divide both numbers without leaving a remainder. The highest common factor of 375 and 150 is hence, 25 because it's the greatest factor that both numbers have in common.

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Answer:

[tex]y = \frac{3\cdot (x+1)}{x+1}[/tex]

Step-by-step explanation:

A rational function with no vertical asymptotes contains an avoidable discontinuity, an example is presented hereafter:

[tex]y = 3[/tex]

[tex]y = 3\cdot 1[/tex]

[tex]y = 3\cdot \frac{x+1}{x+1}[/tex]

[tex]y = \frac{3\cdot (x+1)}{x+1}[/tex]

Here,

volume(v)=1000 ft^3

also,

v=l^3

or,1000=l^3

therefore,

l=10ft

Now,

Surface area(A)=6l^2

=6×10^2

=600 ft^2

Hope it helps!!!!!

If the volume of a cube is 1,000 cubic feet then the Surface area(A) of a cube of side 10 feet would be 600 ft^2.

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.

The volume of a cube can be calculated as the cube of the sides of a given figure.

The volume of a cube = side ^3

Given ; if the volume of a cube is 1,000 cubic feet

The volume(v) = 1000 ft^3

also, The volume(v) = l^3

or,1000 = l^3

therefore, l = 10ft

The side of the given cube is 10 feet.

Now,

The Surface area(A) of a cube = 6l^2

= 6 × 10^2

= 600 ft^2

Hence, if the volume of a cube is 1,000 cubic feet then the Surface area(A) of a cube of side 10 feet would be 600 ft^2.

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Answer:

5.5 cu ft        vol = L*w*h*  w=x L= 3x  h=3

270=  3[3x*x]

Final answer:

To find the length and width of the touch tank, we need to use the formula for the volume of a rectangular tank. By substituting the given values and solving the equation, we can find the width and length.

Explanation:

Let's assume that the width of the touch tank is x feet. So, the length of the tank would be 3x feet.

The volume of a rectangular tank is given by the formula volume = length × width × height. We can substitute the given values into this formula.

270 = (3x) * x * 3

Simplifying the equation, we get:

270 = 9x^2

Dividing both sides of the equation by 9:

x^2 = 30

Taking the square root of both sides of the equation:

x = √30 ≈ 5.48

Therefore, the width of the touch tank is approximately 5.48 feet. Since the length is three times the width, the length would be approximately 3 × 5.48 = 16.44 feet.

Answer:

5026*10^-5

Step-by-step explanation:

Answer:

5.026 x 10-5

Step-by-step explanation:

Answer:

first box [

4

]

second box [

  7

____

  2

]

third box[

0

]

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

follow me if I'm right

Answer:

you are wrong genius

Step-by-step explanation:

you are wrong because you might have thought the s is a 5, but it is an s

(17) Find the least square number which is exactly divisible by each of the numbers

The answer is 3

(18) Find the least square number which is exactly divisible by each of the numbers

8, 12, 15 and 20.

The answer is 4

Answer:17) 5400

18)3600

Step-by-step explanation:

Answer:

8.96 g/cm2

Step-by-step explanation: