hey can someone help me with this pls​

Answer:

20

Step-by-step explanation:

side BC = side AB

so their base angles that is ∠A = ∠C = (3x+20)°

now, total measure of the angles of a triangle is 180° & ∠B = x°

Now,

m∠A + m∠B + m∠C = 180

⇒ 3x + 20 + x + 3x + 20 = 180

⇒ 7x + 40 = 180

⇒ 7x = 140

⇒x = 20

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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Just 1 (one) scoop of ice cream can melt in the cone and not overflow.

To decide the number of scoops of ice cream that may melt within the cone without flooding, we got to calculate the accessible space interior of the cone.

The volume of a cone can be calculated utilizing the equation V = (1/3)πr^2h, where r is the sweep and h is the stature. In this case, the sweep is half of the breadth, so r = 4.5 cm and h = 15 cm.

V = (1/3)π(4.5 cm)^2(15 cm) = 95.04 cm^3 (balanced to two decimal places)

The volume of each scoop of ice cream can be calculated utilizing the condition for the volume of a circle, V = (4/3)πr^3, where r is the span. In this case, the span is half of the breadth, so r = 2.5 cm.

V_scoop = (4/3)π(2.5 cm)^3 ≈ 65.45 cm^3 (adjusted to two decimal places)

To discover the number of scoops that may dissolve within the cone without flooding, we isolate the volume of the cone by the volume of each scoop:

Number of scoops = V_cone / V_scoop ≈ 95.04 cm^3 / 65.45 cm^3 ≈ 1.45

Since we cannot have a division of a scoop, the most extreme number of scoops that may liquefy within the cone without flooding is 1. In this manner, as it were one scoop of ice cream can be suited within the cone without spilling over.

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Answer:

1)  695.3 m²

2)  8 ft

3)  172.0 in²

Step-by-step explanation:

To find the area of a regular polygon, we can use the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

Given the polygon is an octagon, n = 8.

Given each side measures 12 m, s = 12.

Substitute the values of n and s into the formula for area and solve for A:

\(\implies A=\dfrac{(12)^2 \cdot 8}{4 \tan\left(\dfrac{180^{\circ}}{8}\right)}\)

\(\implies A=\dfrac{144 \cdot 8}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{1152}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{288}{\tan\left(22.5^{\circ}\right)}\)

\(\implies A=695.29350...\)

Therefore, the area of a regular octagon with side length 12 m is 695.3 m² rounded to the nearest tenth.

\(\hrulefill\)

The sum of an interior angle of a regular polygon and its corresponding exterior angle is always 180°.

If the exterior angle of a polygon measures 40°, then its interior angle measures 140°.

To determine the number of sides of the regular polygon given its interior angle, we can use this formula, where n is the number of sides:

\(\boxed{\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}}\)

Therefore:

\(\implies 140^{\circ}=\dfrac{180^{\circ}(n-2)}{n}\)

\(\implies 140^{\circ}n=180^{\circ}n - 360^{\circ}\)

\(\implies 40^{\circ}n=360^{\circ}\)

\(\implies n=\dfrac{360^{\circ}}{40^{\circ}}\)

\(\implies n=9\)

Therefore, the regular polygon has 9 sides.

To determine the length of each side, divide the given perimeter by the number of sides:

\(\implies \sf Side\;length=\dfrac{Perimeter}{\textsf{$n$}}\)

\(\implies \sf Side \;length=\dfrac{72}{9}\)

\(\implies \sf Side \;length=8\;ft\)

Therefore, the length of each side of the regular polygon is 8 ft.

\(\hrulefill\)

The area of a regular polygon can be calculated using the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

A regular pentagon has 5 sides, so n = 5.

If its perimeter is 50 inches, then the length of one side is 10 inches, so s = 10.

Substitute the values of s and n into the formula and solve for A:

\(\implies A=\dfrac{(10)^2 \cdot 5}{4 \tan\left(\dfrac{180^{\circ}}{5}\right)}\)

\(\implies A=\dfrac{100 \cdot 5}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{500}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{125}{\tan\left(36^{\circ}\right)}\)

\(\implies A=172.047740...\)

Therefore, the area of a regular pentagon with perimeter 50 inches is 172.0 in² rounded to the nearest tenth.

Answer:

1.695.29 m^2

2.8 feet

3. 172.0477 in^2

Step-by-step explanation:

1. The area of a regular octagon can be found using the formula:

\(\boxed{\bold{Area = 2a^2(1 + \sqrt{2})}}\)

where a is the length of one side of the octagon.

In this case, a = 12 m, so the area is:

\(\bold{Area = 2(12 m)^2(1 + \sqrt{2}) = 288m^2(1 + \sqrt2)=695.29 m^2}\)

Therefore, the Area of a regular octagon is 695.29 m^2

2.

The formula for the exterior angle of a regular polygon is:

\(\boxed{\bold{Exterior \:angle = \frac{360^o}{n}}}\)

where n is the number of sides in the polygon.

In this case, the exterior angle is 40°, so we can set up the following equation:

\(\bold{40^o=\frac{ 360^0 }{n}}\)

\(n=\frac{360}{40}=9\)

Therefore, the polygon has n=9 sides.

Perimeter=72ft.

We have

\(\boxed{\bold{Perimeter = n*s}}\)

where n is the number of sides in the polygon and s is the length of one side.

Substituting Value.

72 feet = 9*s

\(\bold{s =\frac{ 72 \:feet }{ 9}}\)

s = 8 feet

Therefore, the length of each side of the polygon is 8 feet.

3.

Solution:

A regular pentagon has five sides of equal length. If the perimeter of the pentagon is 50 in, then each side has a length = \(\bold{\frac{perimeter}{n}=\frac{50}{5 }= 10 in.}\)

The area of a regular pentagon can be found using the following formula:

\(\boxed{\bold{Area = \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *s^2}}\)

where s is the length of one side of the Pentagon.

In this case, s = 10 in, so the area is:

\(\bold{Area= \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *10^2=172.0477 in^2}\)

Drawing: Attachment

Answer:

Step-by-step explanation:

30 percent off 180.00 is 126.00.

the difference is $54

Answer:

its B on e2020

Step-by-step explanation:

14%

If the Algerian government wishes to raise $9 billion in tax revenue, income tax rate should be 14%.

Income tax is a form of tax levied on the income of labor by the government. Income tax reduces the income earned by labor.

In order to determine the income tax rate, take the following steps:

Determine the total income of the workforce: 9,416,534 x $6,844 = 64.45 billion

Now, divide the desired tax revenue by the total income: (9 billion / 64.45 billion)  x 100 = 14%

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There is 90% confidence that the population mean number of books people read is between 11.55 and 13.25.

To construct a 90% confidence interval for the mean number of books people read, we can use the following formula:

Confidence Interval = x ± (Z * (s / √n))

Where:

x = sample mean (12.4 books)

s = sample standard deviation (16.6 books)

n = sample size (1017)

Z = Z-score

Since the sample size is large (n > 30), we can assume the sampling distribution is approximately normal.

We can use the standard normal distribution to find the Z-score for a 90% confidence level.

The Z-score for a 90% confidence level is approximately 1.645.

Now we can calculate the confidence interval:

Confidence Interval = 12.4 ± (1.645  (16.6 / √1017))

Confidence Interval ≈ 12.4 ± (1.645  (16.6 / √1017))

Confidence Interval ≈ 12.4 ± (1.645  (16.6 / 31.95))

Confidence Interval ≈ 12.4 ± (1.645 x 0.518)

Confidence Interval ≈ 12.4 ± 0.85

There is 90% confidence that the population mean number of books people read is between 11.55 and 13.25.

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Astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

It should be noted that astronomers study stars, planets, and other celestial bodies. It should be noted that they use ground-based equipment, like optical telescopes, and space-based equipment. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars.

In this case, astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

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Answer:

distance between, motion

Step-by-step explanation:

plato, I got it right

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

the slope intercept form is   y = (1/2)x - 1

Step-by-step explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

\(m = \frac{y_{2} -y_1}{x_2-x_1}\)

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1

Answer:

y= (x times 2) + 1

Answer:

y = 2x + 1

Step-by-step explanation:

equation of a line in slope intercept form is given by:

y = mx + b where m is the slope and b is the y intercept.

slope: its the rise over run and its formula is: (y2 - y1)/(x2 - x1)

hence,

m = (11 -5)/(5 - 2)

m = 2

y = 2x + b

5 = 4 + b

b = 1

so the equation of the line is y = 2x + 1

make sure to ask if you need any further guidance.

Answer:

yeah your teeth is good and strong too

\( \Large{ \boxed{ \bf{ \color{blue}{Solution:}}}}\)

By using the fact that,

When,

\( \large{ \sf{ {a}^{x} =b}}\)

Then, With logarithm base a of a number b:

\( \large{ \sf{ log_{a}(b) = x}}\)

☃️So, Let's solve ths question....

To FinD:

\( \large{ \sf{log_{2}(256) }}\)

Let it be x,

\( \large{ \sf{ \longrightarrow{ log_{2}(256) = x}}}\)

Proceeding further,

\( \large{ \sf{ \longrightarrow \: {2}^{x} = 256}}\)

\( \large{ \sf{ \longrightarrow \: {2}^{x} = {2}^{8} }}\)

Then, We have same base 2, So

\( \large{ \sf{ \longrightarrow \: x = 8}}\)

Or,

➙ log₂(256) = log₁₀(256) / log₁₀(2)

➙ log₂(256) = 2.40823996531 / 0.301029995664

➙ log₂(256) = 8

☕️ Hence, solved !!

━━━━━━━━━━━━━━━━━━━━

Answer:

256

Step-by-step explanation:

log     256 can most easily be found by rewriting 256 as a power of 2:

      2

2^5 * 2^3 = 32*8 = 256, so 2^ (5 + 3) = 2^8.    

Then we have:

  log     256

2        2             = 256

Alternatively, write:

log (down)2 256 = log (down)2 2^8 = 2*8 = 256

Note that your "log (down)^2 and the function y = 2^x are inverse functions that effectively cancel one another.

Answer:

4,1

Step-by-step explanation:

(x-4)(x-1)

x=4 or x=1

Answer:

Step-by-step explanation:

Step one:

given data

total ounces combined= 8.65+8.09= 16.74 ounces

We are told that the remainder after pouring the fruits into four bowls is

2.78 ounces, hence what was divided is

= 16.74-2.78=13.96 ounces

Now the amount that was divided is 13.96 ounces

hence a bowl took 13.96/4= 3.49 ounces

Answer:

0

Everything cancles so you will be left with

0

\(2 + 2 {w}^{3} - 2 - 2 {w}^{3} \)

\(2 {w}^{3} - 2 {w}^{3} = 2 - 2\)

\(0 = 0\)

This is the answer with steps-

Hope it helps you...

Answered by Benjemin ☺️

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The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

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Answer:

\( x = - 4, \: \: x = 1 \frac{1}{2} \)

Step-by-step explanation:

\(2 {x}^{2} + 5x - 12 = 0 \\ \\ 2 {x}^{2} + 8x - 3x - 12 = 0 \\ \\ 2x(x + 4) - 3(x + 4) = 0 \\ \\ (x + 4)(2x - 3) = 0 \\ \\ x + 4 = 0, \: \: 2x - 3 = 0 \\ \\ x = - 4, \: \: x = \frac{3}{2} \\ \\ x = - 4, \: \: x = 1 \frac{1}{2} \)

Answer:

4816 books

Step-by-step explanation:

Set up the equations for both production methods

y = 19.5x + 1305

y= 9.75x + 60661

Solve for x (number of books at the intercept of both equations)

9.75x + 60661 = 19.5x + 13705

9.75x + 46956 = 19.5x (subtracted 13705 from both sides)

46956 = 9.75x (subtracted 9.75x from both sides)

x = 4816 (divided both sides by 9.75 to isolate x)

If you need the cost at which the two methods are the same, you can simply substitute x (which we now know is 4816) into any of the equations we made for the production methods

It is noticed that the factors then the x-intercepts are the same value as that of factors.

Given that, the quadratic equation represented on the graph in factored form is y=(x-3)(x+2).

From the graph, x-intercepts are x=-2 and x=3.

The vertex of the given quadratic graph is (0.5, -6)

Therefore, it is noticed that the factors then the x-intercepts are the same value as that of factors.

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The difference between the depths in February and July is 31 feet.

The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:

Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.

Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.

Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.

Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.

Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.

Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.

The difference between the depths in February and July is:

|−6| − |−25| = 6 − (−25) = 6 + 25 = 31

Therefore, the correct choice is B) 31 feet.

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Answer:

-2x^2 - 2x + 5

Step-by-step explanation:

Combine like terms (same variable and degree) to simplify

3x^2-5x^2+5x-7x+3+2

-2x^2-2x+5

Answer:

Combining like terms, we get:

-2x² - 2x + 6

Answer:

\(g(x)=-x-5\)

Step-by-step explanation:

if we reflect across the y-axis, the y-value is just being negated, or in other words from positive -> negative or negative -> positive depending on what the initial y-value was.

So if we have the function \(f(x)=x\), then we just negate the x, since the x represents the y-value.

This gives us: \(g(x)=-x\)

Now to translate 5 units down, the y-value is decreasing by 5 units, and since the -x represents the y-value, we just subtract 5 from it to get

\(g(x)=-x-5\)

Answer:

\(p=\frac{8}{7}\)

Step-by-step explanation:

\(\frac{2}{4} = \frac{4}{p} - 3\)

\(\frac{1}{2} = \frac{4}{p} - 3\) (simplify)

\(\frac{1}{2}+3 = \frac{4}{p} - 3+3\)

\(\frac{1}{2}+3 = \frac{4}{p}\) (Add 3 to both sides)

\(\frac{7}{2}= \frac{4}{p}\) (simplify)

\(\frac{7}{2}p= \frac{4}{p}*p\)

\(\frac{7p}{2}=4\) (Multiply both sides by p)

\(\frac{7p}{2}*2=4*2\)

\(7p=8\) (Multiply both sides by 2)

\(\frac{7p}{7}=\frac{8}{7}\)

\(p=\frac{8}{7}\) (Divide both sides by 7)

Answer:

n = - 7

Step-by-step explanation:

\(0.0000003 = 3 \times {10}^{ - 7} \\ \implies \: n \: = - 7\)