Write the first 8 triangular numbers

Answer:

B, 20

Step-by-step explanation:

The Pythagorean Theorem states that the two shortest lengths in a right triangle (in our case, 12 and 16), is equal to the longest length in a right triangle (c). So,

a²+b²=c²

Substitute 12 and 16 for a and b, our side lengths

12²+16²=c²

144+256=400

400=c²

Square root both c and 400, which gives us...

20=c

So, the value of x is 20.

Hey There! Happy to Help! Your answer is below.

Answer:

17/20 = 0.85000

Step 1:

⇒ (3/4 + 4/5) - 7/10

Step 2:

⇒ (3/4 + 4/5) - 7/10

Step 3:

⇒(3/4 + 4/5) - 7/10

Step 4:

⇒ Find the Least Common Multiple

Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 0 2

5 0 1 1

Product of all

Prime Factors  4 5 20

  Least Common Multiple:

     20

⇒  Calculate multipliers for the two fractions

⇒  Denote the Least Common Multiple by  L.C.M

   ⇒ Denote the Left Multiplier by  Left_M

⇒   Denote the Right Multiplier by  Right_M

⇒    Denote the Left Deniminator by  L_Deno

⇒    Denote the Right Multiplier by  R_Deno

⇒ Rewrite the two fractions into equivalent fractions

⇒ Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num.               3 • 5

-----------------------------    =  ------------

L.C.M                                     20  

  R. Mult. • R. Num.      4 • 4

----------------------------- =  -------

   L.C.M                           20  

 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3 • 5 + 4 • 4     31

------------------ = ---

     20           20

Equation at the end of step 4:

 31     7

---- - ----

20   10

Step 5:

 Find the Least Common Multiple

     The left denominator is :       20

     The right denominator is :       10

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 1 2

5 1 1 1

Product of all

Prime Factors  20 10 20

   Least Common Multiple:

     20

Calculating Multipliers :

Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

Left_M = L.C.M / L_Deno = 1

  Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

Rewrite the two fractions into equivalent fractions

L. Mult. • L. Num.      31

------------------------- = ----

L.C.M                      20

R. Mult. • R. Num.      7 • 2

---------------------------- = -----

L.C.M              20  

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

31 - (7 • 2)     17'

--------------  = ---

20          20

 17          

 —— = 0.85000

 20        

The explicit rule formula an = -2n + 8 is an arithmetic progression

The value of a11 is -14

The explicit rule formula is given as:

an = -2n + 8

Substitute 11 for n to calculate a11

a11 = -2 * 11 + 8

Evaluate the product

a11 = -22 + 8

Evaluate the sum

a11 = -14

Hence, the value of a11 is -14

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Answer:

Step-by-step explanation:

The value of measurement of the closest to the height of the mountain cliff in feet is,

⇒ Mountain Height = 360 feet

Given that;

When Donetle stands at point R, he is 1000 feet from point S at the base of a cliff.

And, When he looks up at an angle of 20 degrees, he sees a friend at the top of the mountain cliff at point T

Hence, By graph we get;

⇒ tan 20° = Mountain Height / 1000

⇒ 0.36 = Mountain Height / 1000

⇒ 0.36 × 1000 = Mountain Height

⇒ Mountain Height = 360 feet

Thus, The value of measurement of the closest to the height of the mountain cliff in feet is,

⇒ Mountain Height = 360 feet

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The frequency of these visible light waves that our eyes see is equal to [tex]4.47\times 10^{-14}\;Hz[/tex]

Wavelength refers to the distance between two (2) successive crests (troughs) of a wave.

Mathematically, the frequency of a wave is given by this formula:

[tex]F = \frac{V}{\lambda}[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]F=\frac{3 \times 10^8}{6.7 \times 10^{-7}} \\\\F=4.47\times 10^{-14}\;Hz[/tex]

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Answer:

k=2

Step-by-step explanation:

[tex](k + 2) {}^{2} - (k - 2)x - 5 = 0[/tex]

If we have two zeroes that are equal in size, but different signs then we have a different of squares,

[tex](a + b)(a - b) = {a}^{2} - b {}^{2} [/tex]

So in order to do this we must make the middle term, x 0 so

[tex]k - 2 = 0[/tex]

[tex]k = 2[/tex]

4x + 6 = 18

-6 is solution ?

4 * (-6) + 6 = 18 ?

-24 + 6 = - 18

so not the solution

3 is solution ?

4 * 3 + 6 = 18 ?

4 * 3 + 6 = 12 + 6 = 18

YES

Answer:

B. [tex]\displaystyle x = 3[/tex]

Step-by-step explanation:

[tex]\displaystyle 18 = 6 + 4x \hookrightarrow \frac{12}{4} = \frac{4x}{4} \\ \\ \boxed{3 = x}[/tex]

I am joyous to assist you at any time.

Question:

The diameter of a construction pipe is 7ft. If the pipe is 35ft long, what is the volume. (Use 3.14 for pie and round your answer to the nearest cubic foot.)

Answer: V=pir^2h V=3.14*3.5^2*35 V=1346 cu ft

Not fully sure....

But it should be right...

Answer:

(A) QS = 8

(B) PS = 15

(C) SR = 6

(D) PQ = 17

(E) QR = 10

Step-by-step explanation:

i did it and got it correct! :D

All the distances are;

(A) QS = 8

(B) PS = 15

(C) SR = 6

(D) PQ = 17

(E) QR = 10

The length of the line segment bridging two points on a plane is known as the distance between the points.

The formula to find the distance between the two points is usually given by d=√{(x₂-x₁)² + (y₂-y₁)²}

Given:

The three points P(1,2), Q(16,10), and R(22,2) are on the coordinate plane.

To find the lengths of the different line segments in the given figure, we can use the distance formula:

Distance = √[(x2 - x1)² + (y2 - y1)²]

(A) To find the length of QS, we need to find the difference between the y-coordinates of Q and S:

QS = |10 - 2| = 8

Therefore, QS has a length of 8 units.

(B) To find the length of PS, we need to find the difference between the x-coordinates of P and S:

PS = |16 - 1| = 15

Therefore, PS has a length of 15 units.

(C) To find the length of SR, we need to find the difference between the x-coordinates of S and R:

SR = |22 - 16| = 6

Therefore, SR has a length of 6 units.

(D) To find the length of PQ, we need to find the difference between the x-coordinates of P and Q:

PQ = √[1 - 16)² + (2 - 10)²]

Therefore, PQ has a length of 17 units.

(E) To find the length of QR, we need to use the distance formula:

QR = √[(22 - 16)² + (2 - 10)²]

= √[36 + 64]

= √100

= 10

Therefore, QR has a length of 10 units.

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Answer:

Here!!

Step-by-step explanation:

Here are a few ratios that are equivalent to  4 : 11  . . . . .

8 : 22

12 : 33

20 : 55

400 : 1100

308 : 847

4 billion : 11 billion

The logo that meets the building requirement must be:

A Logo in art is a visual symbol, that an organization selects as one of the primary visual identifiers of its brand.

They are first conceptualized, then built or created after much consultation with graphic and marketing professionals.

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Answer:

270

Step-by-step explanation:

5 x 7 x 6= 210

2 x 5 x 6= 60

210 + 60= 270

The required volume of the fish tank is 240 cubic inches. option D is correct.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The requried volume of the figure is given as,
Volume  = height [area of the plot]

Since the area of the plot is given as,
area = area of the left rectangle + area of the right triangle.
area = 5 × 7 + 1/2 × [12-7]×[5-3]
area = 35 + 5
area = 40 square inches.

Volume = 6 [40]

Volume = 240 in³

Thus, the required volume of the fish tank is 240 cubic inches. option D is correct.

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Answer:

1st option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - [tex]\frac{4}{5}[/tex] , then

y = - [tex]\frac{4}{5}[/tex] x + c

to find c substitute (5, 1 ) into the equation

1 = - 4 + c ⇒ c = 1 + 4 = 5

y = - [tex]\frac{4}{5}[/tex] x + 5 ( multiply through by 5 to clear the fraction )

5y = - 4x + 25 ( add 4x to both sides )

4x + 5y = 25 ← in standard form

Answer:

Prakash is a pilot change into yes no question

The stop sign is an octagon or regular polygon.

It is given that a stop sign has 8 sides.

It is required to describe the sign using a polygon.

It is defined as the flat planner geometry in two dimensions with a closed shape there are two types of polygon one is irregular in which the angle and sides are not equal and the second one is a regular polygon in which sides and angles are equal called regular polygon.

We have a stop sign that has 8 sides.

As we know the definition of a polygon they are planner geometry and in a regular polygon, the sides and angles are equal called regular polygon.

The stop sign has 8 if we assume they are all equal sides and angles then we can say that the stop sign is an octagon(in which the number of sides is 8) or a regular polygon.

Thus, the stop sign is an octagon or regular polygon.

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Answer:

8, octagon, & regular

Step-by-step explanation:

I did it

Using the t-distribution, as we have the standard deviation for the sample, it is found that the p-value is of 0.0009.

At the null hypothesis, it is tested if the students study 20 hours, that is:

[tex]H_0: \mu = 20[/tex].

At the alternative hypothesis, it is tested if they study less than 20 hours, that is:

[tex]H_1: \mu < 20[/tex].

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, the values of the parameters are given as:

[tex]\overline{x} = 17.7, \mu = 20, s = 3.9, n = 33[/tex].

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{17.7 - 20}{\frac{3.9}{\sqrt{33}}}[/tex]

[tex]t = -3.39[/tex]

Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than value, the p-value is of 0.0009.

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The wall can be built in 22 days by 6 workers in first 6 days and 9 workers in the rest of time.

In this question we must use the definition of inverse proportionality, in which the number of workers ([tex]n[/tex]), no unit, is inversely proportional to the building time ([tex]t[/tex]), in days.

According to the statement, 6 workers spent 6 days building a wall and there are 24 days left for completion, but 3 more workers entered to reduce building time, which can be represented by the following expression:

[tex]x = 24\,days \times \frac{6}{9}[/tex]

[tex]x = 16\,days[/tex]

In this scenario, the wall can be built in 22 days. [tex]\blacksquare[/tex]

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eighteen thirds

two thirds refers to : [tex]\sf \sf \dfrac{2}{3}[/tex]

[tex]\sf \rightarrow 9 * \dfrac{2}{3}[/tex]

[tex]\sf \rightarrow \dfrac{9*2}{3}[/tex]

[tex]\sf \rightarrow \dfrac{18}{3}[/tex]     [ also refereed as eighteen thirds ]

Answer:

[tex]6\\six~is~2/3~of~9\\this~can~also~be~looked~at~as\\2 * 3 = 6\\[/tex]

↓ Second problem

[tex]11/27\\18/27\\11/3\\18/3[/tex]

                                          Hope it helps, be great!

An equation is formed of two equal expressions. The solution of the equation is w=3.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

In order to solve the equation, we need to isolate the variable in the following manner, therefore, the solution of the equation can be written as,

[tex]6.2w=18.6[/tex]

Divide both sides of the equation by 6.2,

[tex]6.2w=18.6\\\\\dfrac{6.2w}{6.2}=\dfrac{18.6}{6.2}\\\\w = 3[/tex]

Hence, the solution of the equation is w=3.

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Answer:

100.32

Step-by-step explanation:

Since the question is asking to INCREASE, you want to multiply 88 by 1.14

This is because a percent is a number multiplied by 100 (For example 0.1 is 10%)

Whenever you want to increase by a percent, you add 100% to the number.

So:

88 * 1.14 =

100.32

Answer:

x-17=56

x-17+17=56+17

x=56+17

x=73

Step-by-step explanation:

Do mark BRAINLIEST

Answer:

d

Step-by-step explanation:

The first coefficient is 2 and the last term is 6. They multiply to 2*6 = 12.

Now we must find two factors of 12 that add to 7 (the middle coefficient).

Through trial and error, you should find that:

3*4 = 12

3+4 = 7

So 3 and 4 are the numbers we're after. We'll split the 7m into 3m+4m and use the factor by grouping method as shown in the steps below.

2m^2 + 7m + 6

2m^2 + 3m + 4m + 6

(2m^2 + 3m) + (4m + 6)

m(2m + 3) + 2(2m + 3)

(m + 2)(2m + 3)

(2m + 3)(m + 2)

The order of the factors doesn't matter since something like 2*3 is the same as 3*2.

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

Verifying the answer:

You can use technology like you did to check the answer, but here's one way to do it without a calculator.

(2m + 3)(m + 2)

n(m + 2) ...... let n = 2m+3

mn + 2n .... distribute

m( n ) + 2( n )

m(2m+3) + 2(2m+3) .... plug in n = 2m+3

m*2m + m*3 + 2*2m + 2*3 .... distribute

2m^2 + 3m + 4m + 6

2m^2 + 7m + 6

We arrive back at the original trinomial, so we have confirmed the answer.

I got -7. I tried probably wrong

The amount of juice by Benito is an illustration of volumes

The amount of juice made is 900 milliliters

The question is incomplete, as the figure and the dimensions are not given.

So, I will give a general solution

Assume the following parameters

The amount of juice would be:

V = πr^2h

This gives

V = 3.14 * 4^2 * 18

Evaluate

V = 904.32

Approximate

V = 900

Hence, the amount of juice made is 900 milliliters

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The horizontal distance to the nearest hundredth of a meter, that Liola covered is 129.03 m (option A)

The following data were obtained from the question:

The horizontal distance Liola covered as she drives 130 m up the hill can be obtained as follow:

Cos θ = Adjacent / Hypotenuse

Cos 7 = Horizontal distance / 130

Cross multiply

Horizontal distance = 130 × Cos 7

= 130 × 0.9925

= 129.03 m

Thus, the horizontal distance Liola covered is 129.03 m (option A)

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Step-by-step explanation:

the area of a full circle (360°) is

pi×r² = pi×5² = pi×25

a 40° segment is then just 40/360 = 1/9 of the full circle.

so,

pi×r²×1/9 = pi×25/9 = pi×2.777777777...

so, either there is a mistake in the problem description, or your teacher wants you to cut off the decimals (after the decimal point), in which case D would be the right answer.

since our radius is 5, that makes r² always 25.

there are no integer factors I can divide 25 by to create any of the 4 solutions of 16 or I or 4 or 2.

and there is no integer factor I can divide 360 by to get 25.

so, something is wrong here regarding the problem description. either the radius or the angle or the solution options are wrong and not fitting to each other.

Step-by-step explanation:

1/81 gallon for 1/4 mile.

what do I need to multiply 1/81 with to get 1 gallon ?

it is simple, right ? i need to multiply it by 81 to get 1 gallon.

in order to keep the relationship (ratio) unchanged, I need to multiply the other part (1/4 mile) with the same factor :

1/4 × 81 = 81/4 = 80/4 + 1/4 = 20 1/4 miles

so, at this rate, that car can travel 20 1/4 miles using 1 gallon of gas.

Answer:

Step-by-step explanation:

What is the value of 6(2b-4) when b =5 2.  The value of is 36. Step-by-step explanation: Given expression: To find the value of at b= 5, we need to substitute the b=5 in the expression, we get.

can i have brainly please :) thanks bro

Answer: 36

Step-by-step explanation: