Select all units that can be used for surface area. Group of answer choices square meters feet centimeters cubic inches square inches square feet (which one are they?)

Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

Answer:

48 and 2/5 converted into decimal form is 48.4

Answer:

\(48.4\)

Step-by-step explanation:

\(48 \frac{2}{5} \\ \frac{242}{5} \frac{ \times 20}{ \times 20} = \frac{4840}{100} \\ = 48.4\)

Answer:

17 grams

Step-by-step explanation:

Answer:

7:4 that would be the ratio

Answer:

There are 1645 seats in the theatre.

Step-by-step explanation:

The first row has 13 seats and each row has 2 seats more than the previous one which means

13,15,17...

As the terms are increasing with the same difference, d=2 this forms an arithmetic sequence.

where

\(d = 2\\a_1 = 13\\a_2 = 15\\a_3 = 17\)

The rule for an arithmetic sequence is given by:

\(a_n = a_1 + (n-1)d\)

Putting the value of a1 and d

\(a_n = 13+(n-1)(2)\\a_n = 13+2n-2\\a_n = 11+2n\)

We have to find total seats in the theatre for that the 35th term of sequence is required as their are 35 rows.

So,

Putting n=35

\(a_{35} = 11+2(35)\\= 11+70\\=81\)

Now we need to find the sum of the 35 terms

The formula for sum of arithmetic sequence is:

\(S_n = \frac{n}{2}(a_1+a_n)\\putting\ n=35\\S_{35} = \frac{35}{2}(a_1+a_{35})\\S_{35} = 17.5(13+81)\\S_{35} = 17.5(94)\\S_{35} = 1645\)

Hence,

There are 1645 seats in the theatre.

Answer:

x<15

Step-by-step explanation:

-(x - 1) + 20 <-3(x - 3)

-x + 1 + 20 <-3x + 9

-x + 21 < -3 + 9

-x < -3 + 9 - 21

-x÷ -1 < -15 ÷ -1

x > 15

Answer:

Answer:

The circumcenter of a triangle is the point where the three perpendicular bisectors of the sides of the triangle intersect.

Step-by-step explanation:

The process of calculation of circumcenter has been given below.

What is circumcenter of a triangle?

Circumcenter of a triangle is the point of intersection of the perpendicular bisectors of every sides of the triangle.

Let the coordinate of A, B, C \(\Delta\) ABC be (\(x_1, y_1\)), \((x_2, y_2)\) and \((x_3, y_3)\) respectively and let the coordinate of circumcenter of \(\Delta ABC\) is (x, y)

We need to find the length of AB, BC and AC

The length will be obtained in terms of x and y

On solving the equations, we will obtain the value of x and y

The value of x and y is the required coordinate of the circumcenter.

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Answer:

--------------------------

Find the difference of the initial and used amounts:

Answer:

B. 3188.5 cubic inches.

Step-by-step explanation:

The volume of a cone is calculated using the following formula:

Volume = (1/3) * π * r² * h

Where:

In this problem, we are given that r = 17 inches and S.h = 20 inches.

First we need to find height h.

py using Pythagorous theorem,we get

c²=a²+b²

here c= slight height and a is radius

20²=17²+b²

20²-17²=b²

111=b²

b=√(111)

Plugging these values into the formula, we get:

Volume = ⅓*π* 17² *√(111) = 3188.5 cubic inches

Therefore, the volume of the cone is 3188.5 cubic inches.

Answer:

$46.20

Step-by-step explanation:

First you find the markdown price which you can find by doing 60x.7 and you get 42. Then you multiply that by .1 and add that answer to 42 and you have an answer.

Answer:

1000

Step-by-step explanation:

Well if there are 1000 ml in one L and we have 25 L of of milk and it requires 25 ml of milk per cup of tea we would first convert 25 L to ml to get 25000 ml of milk with that answer we then divide 25000 by 25 to get 1000.

Step-by-step explanation:

log5(2)+log5(x)-log5(x-1)=log5(3)

log5(2x) = log5(3)+log5(x-1)

log5(2x) = log5(3Xx-1)

2x = 3x-3

x= 3

Answer:

Hello! answer: x = 68

Hope this helps!

Answer:

x = 68⁰

Step-by-step explanation:

112+112+68+x = 360 (Theorem - The sum of the internal angles of a square is 360.)

292⁰+x = 360⁰

x = 360⁰ - 292⁰

x = 68⁰

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving to the airport (in mph)

⇒ v + 15 = average speed driving from the airport (in mph)

Using:  distance = speed x time

\(\implies t=\dfrac{d}{v}\)

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

\(\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}\)

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

\(\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1\)

Now all we have to do is solve the equation for v:

\(\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1\)

\(\implies \dfrac{18(v+15)+18v}{v(v+15)}=1\)

\(\implies 18(v+15)+18v=v(v+15)\)

\(\implies 18v+270+18v=v^2+15v\)

\(\implies v^2-21v-270=0\)

\(\implies (v-30)(v+9)=0\)

\(\implies v=30, v=-9\)

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

Let s represent the speed on the return trip

So, The initial speed will be (s-15)

Equation of time:

\( \boxed{ \tt \: time = \frac{distance}{speed} }\)

return time + initial time = 1 hr

\( \sf\frac{18}{s} + \frac{18}{s - 15} = 1\)

⚘Solution for the complete equation in attachment!!~

\(\rule{300pt}{2pt}\)

Answer: p = 1

Step-by-step explanation:

2/5 + p = 4/5 + 3/5p

-2/5        -2/5

      p = 2/5 + 3/5p

-3/5p            -3/5p

2/5p = 2/5

Divide both sides by 2/5

p = 1

The sixth term of the geometric sequence is 2048.

The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.

The formula for the nth term (an) of a geometric sequence is given by:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio.

For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:

an = 2 * 4^(n-1)

To find a6, we substitute n = 6 into the formula:

a6 = 2 * 4^(6-1)

  = 2 * 4^5

  = 2 * 1024

  = 2048

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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Then find a6. Round to the nearest tenth if necessary.

a = 5×4 X

a1 = n-1 X

The point in Figure 2 that corresponds to point L in Figure 1 is the midpoint of line segment NP.

When two figures are congruent, it means that they have the same shape and size. This implies that corresponding points in the two figures have the same position and distance from each other.

In Figure 1, the points I, J, L, K, N, P, and Q are labeled. To find the point in Figure 2 that corresponds to point L, we need to look for a point that has the same relative position and distance as point L in Figure 1.

From Figure 1, we can see that point L is the midpoint of the line segment JK. Therefore, to find the corresponding point in Figure 2, we need to look for a point that is the midpoint of the line segment that corresponds to JK. In Figure 2, the line segment that corresponds to JK is NP, and the midpoint of NP corresponds to the point that is equivalent to point L. Therefore, the point that corresponds to point L in Figure 2 is the midpoint of line segment NP.

It is important to note that identifying corresponding points in congruent figures is a fundamental concept in geometry and is often used to solve problems involving congruence and similarity.

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Answer:

20000

Step-by-step explanation:

115%-> 23000

100%->20000

Step-by-step explanation:

if they are proportional, then they must keep the original ratio of 6/1 of sugar to cinnamon.

X 4.5/0.75 = 6 = 6/1

X 9/1.5 = 6 = 6/1

X 12/2 = 6 = 6/1

15/3 = 5 and that is NOT 6/1 (not proportional)

Answer:

A) Vertical angles are congruent.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

the first one is the correct answer i.e.

(+7) + 13 = U+ (7+13)

Answer:

\(-\frac{19}{50}\)

Step-by-step explanation:

\(-\frac{\frac{38}{25} }{4}\)

\(-\frac{38}{25 * 4}\)

\(-\frac{19}{50}\)

Answer:

17 ounce cereal

Step-by-step explanation:

It is only a 53. cent difference so the better option would be the 17 ounce bag

Answer:

(11.6+7.3) - (6.2 × 2.1)

(18.9)-(13.02)

= 149.1

To answer this question we will use the following formulas to compute the volume of a rectangular prism and a cylinder:

From the given diagram we get that the length of the rectangular prism is 24ft, its width is 16ft and its height is 20ft, therefore its volume is:

Also, from the given diagram we get that the radius of the cylinder is 4ft and its height is 20ft, therefore its volume is:

Then:

Answer:

the direction and angle of rotation between the two polygons is 180° clockwise rotation.

How to solve the question?

Based on the given information, we can determine the direction and angle of rotation between the two polygons.

First, let's look at the initial positions of the polygons. The graph of triangle ABC is located in Quadrant 4, which means that it is in the bottom-right portion of the coordinate plane. On the other hand, the second polygon A'B'C' is located in Quadrant 3, which is in the bottom-left portion of the coordinate plane.

To find the direction and angle of rotation between the two polygons, we need to imagine rotating one polygon onto the other. We can see that the two polygons are mirror images of each other across the y-axis. Therefore, we can infer that there is a horizontal line of symmetry between the two polygons.

If we rotate polygon A'B'C' 180 degrees clockwise around the origin, it will overlap perfectly with triangle ABC. This is because a 180-degree rotation is equivalent to a half-turn or a flip, which is exactly what we need to make the two polygons overlap. Therefore, the answer is 180° clockwise rotation.

In summary, the direction and angle of rotation between the two polygons is 180° clockwise rotation.

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Let's check

#A

\(\\ \tt\hookrightarrow cot\dfrac{5\pi}{6}=-\sqrt{3}\)

#B

\(\\ \tt\hookrightarrow cot\dfrac{7\pi}{4}=\sqrt{3}\)

#C

\(\\ \tt\hookrightarrow cot\dfrac{4\pi}{3}=\dfrac{1}{\sqrt{3}}\)

Answer:

\(\sf C) \quad \left(\dfrac{4\pi}{3}, \sqrt{3}\right)\)

Step-by-step explanation:

Given function:

\(y=\cot x \implies y=\dfrac{1}{\tan x}\)

Substitute the x-values of the given coordinates into the given function:

\(\textsf{When }\:x=\dfrac{5 \pi}{6}: \quad y=\dfrac{1}{\tan \left(\dfrac{5 \pi}{6}\right)}=\dfrac{1}{-\dfrac{\sqrt{3}}{3}}=-\sqrt{3}\)

\(\textsf{When }\:x=\dfrac{7 \pi}{4}: \quad y=\dfrac{1}{\tan \left(\dfrac{7 \pi}{4}\right)}=\dfrac{1}{-1}=-1\)

\(\textsf{When }\:x=\dfrac{4 \pi}{3}: \quad y=\dfrac{1}{\tan \left(\dfrac{4 \pi}{3}\right)}=\dfrac{1}{\sqrt{3}}=\dfrac{\sqrt{3}}{3}\)

Comparing the y-values of the given coordinates, we can clearly see that point that is not on the graph of the function is:

\(\sf \left(\dfrac{4\pi}{3}, \sqrt{3}\right)\)

(Please see attached graph for proof).

Answer:

The final balance is $5,796.37.

The total compound interest is $796.37.

Step-by-step explanation: