Find the surface area of number 2

Answer:

441

Step-by-step explanation:

The ratio of sidelengths squares is the ratio of the areas, so the ratio of the area of the smaller triangle's area to the larger triangle's is 25:49.

Using ratios, you figure out that the area of the larger triangle must be 225/25 *49, which is equal to 9*49 = 441

Final answer:

The area of the larger triangle, given a scale factor of 5:7 and the smaller triangle's area of 225cm squared, is 441cm squared. The areas scale as the square of the scale factor, in this case, 25:49.

Explanation:

The question involves working with the scaling of the area of a triangle when given a scale factor between two similar triangles. Since the scale factor of the linear dimensions between the two triangles is 5:7, the ratio of the areas is the square of the scale factor, which is (5:7)2 or 25:49.

If the area of the smaller triangle is 225 cm², to find the area of the larger triangle, we need to use the area ratio. Given that 25 parts correspond to 225 cm²in the smaller triangle, we can calculate the value of 1 part as 225 cm² / 25 = 9 cm2. Hence, the area of the larger triangle corresponds to 49 parts, which gives us 49 * 9 cm² = 441 cm².

Answer:

$11.90

Step-by-step explanation:

30% of 17 is 5.10 which means you have to subtract 5.10 from 17

Tammy does walk a time of  3.75 hours

Explanation:

Given-

Speed, (which can be represented as  s) = 2 miles/hour

Distance, (which can be represented as d) = 7.5 miles of distance .

Time, t = ?

We know,

d = s t

7.5 miles of distance  = 2 miles/hour × t

3.75 hour of time  = t

Therefore, Tammy does walk a time of  3.75 hours

Answer:

80%

Step-by-step explanation:

1280/1600=0.8=80%

Answer:

150 cm²

Step-by-step explanation:

A cube has 6 surfaces.

A cube has equal length for all edges.

Area of 1 surface = 5 x 5 = 25 cm²

Area of 6 surfaces  = 25 x 6 = 150 cm²

Answer:

Step-by-step explanation:

its 600 dont belive those liers.

Answer:

[tex]y=-3x+4[/tex]

Answer:

d=2r

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x+4)2-3(x+4)-3=0

2x+8-3x-12-3=0

-1x-4-3=0

-1x-7=0

-1x=7

x=7/-1

x=-7

Answer:

u= x + 4

Step-by-step explanation:

I just did the as. and quiz

Answer:

Option A

Step-by-step explanation:

From the graph, we can see both f(x) and g(x) are parabolas that turns upside down.

The parent function for both f(x) and g(x) is

[tex]y = - {x}^{2} [/tex]

We can see that , f(x) is obtain by shifting the parent function up, by c units.

Therefore

[tex]f(x) = - {x}^{2} + c[/tex]

Also we can see that g(x) is half way between f(x) and the origin.

Therefore

[tex]g(x) = - {x}^{2} + \frac{c}{2} [/tex]

Therefore the correct option is A .

Answer:6 +10b

Step-by-step explanation:

Like terms 9-1-2 =6 and 3b + 7b = 10b

Multipli the numbers

$7.00

21/3=7, and 21 is 3/4 of 7*4

Answer:

x = 4

Step-by-step explanation:

Given

13 - 4x = 1 - x ( add x to both sides )

13 - 3x = 1 ( subtract 13 from both sides )

- 3x = - 12 ( divide both sides by - 3 )

x = 4

Answer:

Yes

Step-by-step explanation:

Answer:

The answer would be $9 dollars per hour.

Step-by-step explanation:

Let's start off with getting the basics down. She babysits for 2 hours each night for 10 total nights, so we would multiply the two and get 20 hours of babysitting service. We would then take $180 and divide the total money amount by the number of hours to get your money per hour. In this case, the answer is $9 per hour.

The given situation would be a best model of cube root.

Solution:

Generally, medicine bottles will be cylindrical in shape. Since the shape of the bottle is not given we can assume that the bottle is in cylindrical shape.

Given information:

Radius of the bottle (r) = one fourth of its height (h)

[tex]\Rightarrow r=\frac{1}{4}\times h[/tex]

Volume of the bottle = V cubic inches

The formula of the volume of a cylinder is as follows,

[tex]\Rightarrow V=\pi r^{2} h[/tex]

This can be re-written as [tex]h=\frac{V}{\pi r^{2}}[/tex] as we do not know the height.

On plugging-in the given values we get,

[tex]\Rightarrow h=\frac{V}{\pi \times(\frac{h}{4})^{2}}\rightarrow \frac{V}{\pi \times\frac{h^2}{16}}\rightarrow \frac{16V}{\pi\times h^2}[/tex]

On solving we get,

[tex]\Rightarrow h\times h^2 = \frac{V}{\pi}[/tex]

[tex]\Rightarrow h^3 = \frac{V}{\pi}[/tex]

On taking the cube root on both sides we get,

[tex]\Rightarrow h=\sqrt[3]{\frac{V}{\pi}}[/tex]

Therefore, cube root would be the best model of the given solution.

Answer:

Bluetooth = $41

Car Phone = 17

Step-by-step explanation:

Answer:

the bluetooth was $35 and the carphone was $23.

Step-by-step explanation:

Answer:

Red is 19

Blue is 57

Step-by-step explanation:

According to the question,it says Sam has 25% red marble out of the 76.

It means 25/100×76

It gives 19

To get the value for blue

Blue + red=76

Red is 19

Blue + 19=76

Blue=76-19

Blue=57

Therefore,red is 19 and blue is 57

The positive solution to the equation 4x^2 + 12x = 135 is; x = 9/2

By quadratic formula;

where, a = 4, b = 12 and c = -135.

By solving the equation quadratically;

The solutions are;

In essence, the positive solution of the equation is; x = 9/2

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The positive solution to the equation 4x^2 + 12x = 135 is found using the quadratic formula, resulting in a positive root of approximately x ≈ 3.375.

The positive solution to the equation 4x^2 + 12x = 135 can be found by first rearranging the equation into the standard quadratic form of ax^2 + bx + c = 0. Bringing all terms to one side gives us 4x^2 + 12x - 135 = 0. This equation can be solved by either factoring, completing the square or using the quadratic formula. Since the original equation does not easily factor into a product of binomials, and the instructions indicate a preference for recognizing a perfect square when possible, we should attempt to complete the square or use the quadratic formula.

To complete the square, we would add (b/2a)^2 to both sides of the equation after dividing the linear coefficient by 2 and squaring the result. However, in this case, it's more straightforward to employ the quadratic formula, which is x = (-b ± sqrt(b^2 - 4ac)) / (2a). Plugging in the values from our equation gives two roots, but since we are only interested in the positive root, we take the solution where the square root term is added to the negative b value.

After calculating, we find that the positive root is x ≈ 3.375, which is the solution to the equation in question.

Answer:

43.5 inches

Step-by-step explanation:

we know that

The approximate total length of iron edging needed to create the square frame and the two diagonals is given by the formula

[tex]L=4b+2d[/tex]

where

b is the length side of the square

d is the diagonal of the square

we have

[tex]d=9\ in[/tex] ----> given problem

Find the value of b

Remember that the diagonal in a square is given by

[tex]d=b\sqrt{2}\ in[/tex]

substitute the given value of d

[tex]9=b\sqrt{2}[/tex]

solve for b

[tex]b=\frac{9}{\sqrt{2}}\ in[/tex]

Find the total length

[tex]L=4(\frac{9}{\sqrt{2}})+2(9)=43.5\ in[/tex]

Answer:

43.5 in

Step-by-step explanation:

ed said it was right lol

The question is about finding the total count of possible 5-digit numbers that either has identical adjacent digits or differ from its neighbor digits by exactly 1 and containing at least one 5. Providing an exact solution without knowing students' pre-existing knowledge on the subject can be difficult. This kind of problem typically involves methodologies like recursive relationships.

This question pertains to combinatorics, a topic in mathematics that deals with countable structures. Specifically, the question is asking how many five-digit numbers are there that follows the conditions given in the question.

The condition that the number contains the digit 5 is applicable for both the cases where the digit is the same as or differs by 1 from its neighbors. This is because 5 is a middle digit from 0 to 9, and it can satisfy both conditions.

The problem can be approached by finding the total count of five digit numbers that satisfy just the adjacent difference conditions, and then subtracting the count of such numbers that do not contain the digit 5.

However, providing a step-by-step solution to this problem would be complex and lengthy, especially without the proper context of the student's pre-existing knowledge. The method to solve it would involve recursive relationships and possibly programming or usage of a suitable mathematical software.

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Answer:

Step-by-step explanation:

[tex]k^2+5k+6=k^2+2k+3k+6=k(k+2)+3(k+2)\\\\=(k+2)(k+3)[/tex]

Other method:

[tex]k^2+5k+6=(k+2)(k+x)\qquad\text{use}\ FOIL\\\\k^2+5k+6=(k)(k)+(k)(x)+(2)(k)+(2)(x)\\\\k^2+5k+6=k^2+kx+2k+2x\\\\k^2+5k+6=k^2+(x+2)k+2x\Rightarrow x+2=5\ \wedge\ 2x=6\\\\x+2=5\qquad\text{subtract 2 from both sides}\\x=3\\\\2x=6\qquad\text{divide both sides by 2}\\x=3[/tex]

Answer:

yesyesyesyes

Step-by-step explanation:

yesyesyesyesyes

Answer:

yesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyes

Answer: mean, median, mode and range

Step-by-step explanation:

The measures of centre are referred to as mean, median, mode and range.

Mean also referred to as average, it is the sum of values in a data set divided by the number of values in the given data set.

Median is the middle point number in a given data set. Median of an even data set is the average of two values in the middle of the data set.

Mode is the most occurring number in the given data set. It is the number with the highest frequency in the set.

Range is the difference between the highest number and the lowest number in a given data set.

I hope this answers your question.

The measures of center in a dataset are statistical values that represent the central point of the data. These include the mean (arithmetic average), median (middle value), and mode (most frequent value). Another common measure of center is the weighted mean, which is used when some data points carry more significance than others.

Measures of the center are statistical measures that provide information about the central point of a dataset. The main measures include the mean, median, and mode.

The mean is the arithmetic average of the data set. This is usually the sum of all data points divided by the number of data points.

The median is the middle value of the data set when it is ordered from smallest to largest. If there is an even number of data points, the median would be the average of the two middle numbers.

The mode is the data point that occurs most frequently in the data set. A data set may have one mode, more than one mode, or no mode at all.

Another common measure of center is the weighted mean, which is useful when some data points carry more significance than others. For example, you might want to calculate the average grade in a class where some assignments are worth more than others.

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Answer:

116.3

Step-by-step explanation:

Supplementary angles add to 180

One angle is 63.7, the other is x

63.7+x = 180

Subtract 63.7 from each side

63.7-63.7+x = 180-63.7

x = 116.3

Answer:

.50 for one donut

Step-by-step explanation:

do a ratio 6$ for 12 donuts

so for $ for 1 donut

reduce the first equation for a ration of $1 per two donuts

so it be 50 cents

$6. $0.50

____ = ______

12 donuts. 1 donut

Answer:

f'(x)=-(x+42)/5

Step-by-step explanation:

Rewrite f(x) as y:

y=-5x-42

Flip x and y and solve for y:

x=-5y-42

x+42=-5y

(x+42)/-5=y

So the inverse function is f'(x)=-(x+42)/5 (note that f' means inverse)

Answer:

The population density in people per square meter is 0.005377 people per square meter.

Answer: [tex]0.005377\frac{people}{m^{2}}[/tex]

Step-by-step explanation:

You want to convert [tex]\frac{people}{km^{2} }[/tex] to [tex]\frac{people}{m^{2}}[/tex]

To do this, multiply [tex]\frac{people}{km^{2} }[/tex] * [tex]\frac{1 km}{1000 m}[/tex] * [tex]\frac{1 km}{1000 m}[/tex]=[tex]\frac{people}{1000 * 1000 m^{2}}[/tex]

sub in 5377 for people to get

[tex]\frac{5377people}{1000 * 1000 m^{2}}=0.005377\frac{people}{m^{2}}[/tex]

Answer:

3x - 24

Step-by-step explanation:

9x - 6x - 24

3x - 24