What is the circumference of d= 16m

Answer:

152

ΔY =  436 - 132 =304

Δ X = 6-4 = 2

ΔY/X = 304/2 = 152

Step-by-step explanation:

Answer:

1. 17,400 in²

2. ???

Step-by-step explanation:

1. If the the length of each shelf is 116 inches and the width is 30 inches then 1 shelf has 3480 in² of space. Since that's for 1 shelf and we have 5 shelves you multiply 3480 by 5 to get 17400.

2. You didn't give any diagram so I can't really help here but just add up all the side of the shape it gave you. You'll probably have to do some math to find missing sides.

Answer:

\(r = \sqrt{ {(6 - 2)}^{2} + {(1 - ( - 3))}^{2} } \)

\(r = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} \)

So the equation of the circle is

\( {(x - 2)}^{2} + {(y + 3)}^{2} = 32\)

There are infinitely many solutions to an equation with two variables.

We know that an equation is a mathematical statement that contains equal symbol between two mathematical expressions.

In this question need to solve  an equation with x and y in one equation.

Consider an equation with two variables: 5x + y = 8

If we solve given equation for x then it would be,

5x + y = 8

5x + y - y = 8 - y

5x/5 = (8 - y)/5

x = (8 - y)/5

for any arbitrary real value value of y we can find the value of x.

This means there are infinitely many solutions.

If we solve given equation for y then it would be,

5x + y = 8

5x + y - 5x = 8 - 5x

y = 8 - 5x

for any arbitrary real value value of x we can find the value of y.

Therefore, an equation with two variables has infinitely many solutions.

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Answer:

x = 5/2

Step-by-step explanation:

Answer:

x=2.5

Step-by-step explanation:

15x + 9x = 33 + 27

24x = 60

x = 60 ÷ 24

x = 5/2 = 2.5

Step-by-step explanation:

The general term of the given sequence is given by: \(5(\frac{1}{3}) ^{n-1}\)

Geometric progression refers to a special progression, or a sequence of numbers, in which each successive term is a fixed multiple of the term preceding it.

For a geometric progression having first term 'a', a constant ratio of the terms be 'r' and 'n' number of terms, then:

General Term of Geometric Progression(G.P.) = \(ar^{n-1}\), where r > 0.

Given: \(5,\frac{5}{3},\frac{5}{9},...\)

Here, for the given G.P., a = 5, r = \(\frac{1}{3}\)

Then, the general term = \(5(\frac{1}{3}) ^{n-1}\), if the given G.P. has 'n' terms.

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Answer:

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

The expression of the verbal statement is 15 + 0.15m

From the question, we have the following parameters that can be used in our computation:

The sum of 15 and 15% of a number m

15% of a number m means 0.15m

So, we have the following representation

The sum of 15 and 0.15m

Sum  mean plus

So, we have

15 + 0.15m

We can get the equivalent expression

So, we have the following representation

(30 + 0.3m)/2

Hence, the expression is 15 + 0.15m

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Answer:

A. (-10,18); 412 yards

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 2x+10-8x = -38

  -6x + 10 = -38

  -6x = - 48

   x = 8

2. 2(x+5)=-2

   2x + 10 = -2

   2x = -12

    x= -6

3. -10 = -5(x+9)

   -10 = -5x - 45

   35 = -5x

    x = -7

4. 6 - 7x - 19 = -83

  -13 - 7x = -83

   -7x = -70

    x = 10

5. 3(3x-4) = 24

   9x - 12 = 24

   9x = 36

   x = 4

Answer:

$2.43 each bottle

Step-by-step explanation:

Start with:

\(1.80+35\)%

We can rewrite 35% as a decimal:

\(1.80+.35\)

Add a \(1\) in front of the \(.35\)

Multiply.

\(1.80\) × \(1.35=2.43\)

Answer:

Hello it is a reduction because it is smaller then the original shape and the green shape is the dilation!

Its a scale factor of 1/2 Hope this helps!

Answer:

Step-by-step explanation:

It's a reduction (smaller) so the scale factor is  less than 1.

In fact it is 1/2 as for example B (4, 4) maps to B' (2, 2).

Hello,

\(1j + 4 > 1\)

\(j + 4 - 4 > 1 - 4\)

\(j > - 3\)

The expression for the operation w minus 3 is w - 3.

It should be noted that an expression simply shows the relationship between the variables given.

In this case, the information given is illustrated as w minus 3.

Therefore, the expression will be:

= w - 3.

Therefore, the expression for the operation w minus 3 is w - 3.

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Step-by-step explanation:

=9x+2(2x+3)

=9x+4x+6

=13x+6 I hope so,

The approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th is 61°. None of the provided answer choices match the correct answer.

To calculate the approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th, we can use the analemma.

The analemma is a figure-8 shaped curve that represents the position of the Sun in the sky at the same time each day over the course of a year. It accounts for the Earth's axial tilt and elliptical orbit around the Sun.

To find the approximate noon Sun angle, we need to consider the declination of the Sun on February 14th and the latitude of Long Island.

On February 14th, the Sun's declination is approximately -12°.

The Sun angle at noon can be calculated using the following formula:

Sun angle = 90° - (latitude - declination)

Substituting the values, we have:

Sun angle = 90° - (41° - (-12°))

Simplifying this equation, we get:

Sun angle = 90° - 41° + 12°

Sun angle = 61°

Therefore, the approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th is 61°.

None of the provided answer choices match the correct answer.

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Answer:

the shorter leg is 2 cms long

Step-by-step explanation:

Step-by-step explanation:

Let the shortest leg=x

other leg=2x

According to Pythagoras thereon

\({\boxed{\sf p^2+b^2=h^2}}\)

\({:}\dashrightarrow \)\(\sf (x)^2+(2x)^2=(5)^2 \)

\({:}\dashrightarrow \)\(\sf x^2+2x^2=25 \)

\({:}\dashrightarrow \)\(\sf 3x^2=25 \)

\({:}\dashrightarrow \)\(\sf x^2={\dfrac{25}{3}}\)

\({:}\dashrightarrow \)\(\sf x^2=8.3 \)

\({:}\dashrightarrow \)\(\sf x=\sqrt {8.3}\)

\({:}\dashrightarrow \)\(\sf x=2.8cm \)

\({:}\dashrightarrow \)\(\sf x=3cm (Approx)\)

\(\therefore\)The shorter leg is 3cm long

\(\Large {\begin{tabular}{|c|c|c|c|c|c|} \cline{1-6} \theta & \sf 0^{\circ} & \sf 30^{\circ} & \sf 45^{\circ} & \sf 65^{\circ} & \sf 90^{\circ} \\ \cline{1-6} $ \sin $ & 0 & $\dfrac{1}{2 }$ & $\dfrac{1}{ \sqrt{2} }$ & $\dfrac{ \sqrt{3}}{2}$ & 1 \\ \cline{1-6} $ \cos $ & 1 & $ \dfrac{ \sqrt{ 3 }}{2} } $ & $ \dfrac{1}{ \sqrt{2} } $ & $ \dfrac{ 1 }{ 2 } $ & 0 \\ \cline{1-6} $ \tan $ & 0 & $ \dfrac{1}{ \sqrt{3} } $ & 1 & $ \sqrt{3} $ & $ \infty $ \\ \cline{1-6} \cot & $ \infty $ &$ \sqrt{3} $ & 1 & $ \dfrac{1}{ \sqrt{3} } $ &0 \\ \cline{1 - 6} \sec & 1 & $ \dfrac{2}{ \sqrt{3}} $ & $ \sqrt{2} $ & 2 & $ \infty $ \\ \cline{1-6} \csc & $ \infty $ & 2 & $ \sqrt{2 } $ & $ \dfrac{ 2 }{ \sqrt{ 3 } } $ & 1 \\ \cline{1 - 6}\end{tabular}}\)

Answer:

Bus B travels faster.

Step-by-step explanation:

The graph of the question in the attached figure

we know that

the linear equation in slope intercept form is equal to

where

m is the slope

b is the y-intercept

x ---> is the time in hours

y ---> is the distance in miles

In this problem we have

Bus A

The slope of the linear equation represent the speed of the bus

so

The speed of bus A is

Bus B

Find  the slope

take two points from the graph

(0,0) and (3,200)

The formula to calculate the slope between two points is equal to

substitute

Compare the slope Bus A with the slope Bus B

therefore

Bus B travels faster.

Answer:

The Answer is A.

Step-by-step explanation:

1) You subtract fractions first to make this look easier to solve. now you just have 6 2/12 - 3.

2) Now subtract the 3 from the 6, then you have your 3 2/12 or A.

3) Enjoy the answer.

Problem 1

Explanation:

Since \(WV+VU \ne 12\),

we can set up this equation

WV + VU = 12 + k

where k is nonzero

If k = 0 happened, then we'd land on WV+VU = 12. So we want anything but k = 0.

Let's plug in VU = 5 and see what happens

WV + VU = 12 + k

WV + 5 = 12+k

WV = 12+k-5

WV = 7+k

This shows the connection of \(WV+VU \ne 12 \text{ and } VU = 5\) leading to \(WV \ne 7\)

=================================================

Problem 3

Explanation:

Angle A = 100 degrees, which leaves 180-A=180-100 = 80 degrees to be split amongst the two remaining angles of triangle ABC.

This leftover amount (80) is not larger than 90. So there is no way to have angle B = 90

It turns out that any obtuse triangle cannot have a 90 degree angle. The other two angles must be acute.

=================================================

Summary: Both answers are True

Answer:

usage patterns are a variable used in market segmentation.

Step-by-step explanation:

Usage patterns are a variable used in behavioral segmentation.

Behavioral segmentation is a marketing strategy that divides a market into different segments based on consumer behavior, specifically their patterns of product usage, buying habits, and decision-making processes. This segmentation approach recognizes that customers with similar behavioral characteristics are likely to exhibit similar preferences and respond in a similar manner to marketing initiatives.

Usage patterns, as a variable, help marketers understand and classify customers based on how they interact with a product or service. This can include factors such as the frequency of product usage, the amount of product used, the timing of purchases, brand loyalty, product benefits sought, and other behavioral indicators.

By analyzing usage patterns, marketers can identify distinct segments within their target market and tailor marketing strategies to meet the unique needs and preferences of each segment. This enables companies to develop more targeted marketing campaigns, optimize product offerings, improve customer satisfaction, and drive customer loyalty.

Overall, behavioral segmentation, including the consideration of usage patterns, allows companies to better understand and connect with their customers by aligning their marketing efforts with specific behaviors and motivations.

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Trigonometric relations can be used to transform p to q.

To transform x into 1/x, you can press the following sequence of buttons:
1. Press the sin button.
2. Press the cos^-1 button.
3. Press the tan button.

To transform \(\sqrt[2]{x}\) to \(\sqrt[2]{x+1}\), you can press the following sequence of buttons:
1. Press the sin^-1 button.
2. Press the cos button.
3. Press the tan button.

To show that you can get any positive rational number, you can use the fact that any positive rational number can be expressed as a ratio of two positive integers, say p and q. Then, you can press the following sequence of buttons:
1. Press the sin button q times.
2. Press the cos button p times.
3. Press the tan button.

By pressing this sequence of buttons, the calculator will display the desired positive rational number q.

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Answer:

a^2 - 5ab

Step-by-step explanation:

[3a * (a-b)] - [2a * (a+b)]

[3a(a) - 3a(b)] - [2a(a) + 2a(b)]

3a^2 - 3ab - (2a^2) - (2ab)

3a^2 - 2a^2 - 3ab - 2ab

a^2 - 5ab

Answer:

d = 102 below the surface of the sea.

Step-by-step explanation:

65 Seconds -- Direction down

d = ?

r = 4.9 feet / second

t = 65

d = 4.9 * 65 = 318 feet below sea level.

60 seconds -- direction up

t = 60 seconds

r = 2.1 feet/second

d = 2.1 *60 = 126 upwards.

Answer

The answer is neither one of the two distances.

d = 318 - 216

d = 102 below the surface of the sea.

Note: you might be asked to use a minus sign in your answer. I would dispute that. You are not told which sign down and up should take. All you can do is record the distance as I have.

Step-by-step explanation:

\( \sin(20) = 3 \div x\)

Multiply both sides with x :

\( x \times \sin(20) = 3\)

And divide both sides with sin(20) :

\(x = 3 \div \sin(20) = 8.771\)

Which gives us x=8,771

Answer:

AB = 6

Step-by-step explanation:

sin 20° = 3/?

\(\frac{1}{2}\) = \(\frac{3}{x}\)

cross-multiply: x = 6

Answer:

13/14

Step-by-step explanation:

3/7 x 2/2 = 6/14

1/2 x 7/7 = 7/14

6/14 + 7/14 = 13/14

Answer:

1/14

Step-by-step explanation:

To prove that L is the circumcenter of triangle BIC, we need to show that LI is perpendicular to BC.

Firstly, let M be the midpoint of BC. By the definition of the incenter, we know that BI = CI. Now, since L is on the circumcircle, we have ∠ALC = 2∠ABC. But ∠ALI = 90 + 1/2∠BAC = 90 + 1/2(∠ABC + ∠ACB) = 90 + 1/2∠ABC + 1/2∠BIC.

Using these angles, we can see that ∠ILC = ∠ALC - ∠ALI = 2∠ABC - (90 + 1/2∠ABC + 1/2∠BIC) = 1/2(∠ABC - ∠BIC) and ∠ILB = ∠IBC - ∠ALB = 1/2(∠ABC - ∠BIC).

Therefore, ∠ILC = ∠ILB, and since MI bisects ∠BIC, we have ML = MI = MC, which implies that LI is perpendicular to BC and L is the circumcenter of triangle BIC.

Therefore, MI is perpendicular to BC and also bisects angle BIC.

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