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You're given a side length of 7 centimeters. How many equilateral triangles can you construct using this information?
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Answer:

15=3*5

30=5*6

90=5*3*5*2*3

So, HCF=15

Step-by-step explanation:

Hope it helps

Step-by-step explanation:

Hey there!

HCF stands for highest common factor. When you are asked about to find the HCF of any number find the factors and take common from all the factors of the numbers.

The given numbers are: 15,30,90.

15 = 3*5

30 = 2*3*5

90 = 2*3*3*5

Now, from the above solutions take all the common factors.

From the factors of all three numbers, 3*5 are common.

Therefore, the HCF of the numbers is 3*5 = 15.

Hope it helps!

Answer:

Step-by-step explanation:

AP 1 : 12, 15 , 18 , 21, 24, 27, 30 , 33 , 36, 39,.....

AP 2 : 17 , 21 , 25 , 29, 33, 37 , 41, 45,.....

AP formed with the common terms:  21, 33, 45 , ......

a = 21 , d = 33-21 = 12 ; n = 100

Sum = [tex]\frac{n}{2}(2a +(n-1)d)[/tex]

       [tex]=\frac{100}{2}[2*21+99*12]\\\\=50 * [42+1188]\\\\=50*1230\\\\= 61500[/tex]

Answer:

1 : 4

Step-by-step explanation:

[tex]Pressure = \frac{F}{A}[/tex]

[tex]P_1 = Pressure \ on \ the \ largest \ surface \ area[/tex]

     [tex]=\frac{F}{20 \times 10 \times 20}[/tex]

[tex]P_2 = Pressure \ on \ small \ surface \ area[/tex]  

      [tex]=\frac{F}{20 \times 10 \times 5}[/tex]

[tex]\frac{P_1 }{P_2 }= \frac{20 \times 10 \times 5}{20 \times 10 \times 20} = \frac{5}{20} = \frac{1}{4}[/tex]          [tex][ \ \ \frac{F}{20 \times 10 \times 20}\ \div\ \frac{F}{20 \times 10 \times 5} => \frac{F}{20 \times 10 \times 20} \times \frac{20 \times 10 \times 5}{F} \ ][/tex]        

Therefore ,

     [tex]P_1 : P_2 = 1 : 4[/tex]

The dimensions of the brick are :

[tex]\large\boxed{\boxed{\mathrm{pressure = \frac{Force}{Area}}}}[/tex]

The largest surface area would be : -

[tex]➢ \: \: 20 \times 10[/tex]

[tex]➢ \: \: 200 \: \: cm {}^{2} [/tex]

[tex]➢ \: \: 0.02\: \: m {}^{2} [/tex]

(product of two greater sides)

pressure applied by greatest surface area of brick :

[tex]➢ \: \: \dfrac{20}{0.02} [/tex]

[tex]➢ \: \: \dfrac{20}{2} \times 100[/tex]

[tex]➢ \: \: 1000 \: \: pascals[/tex]

The smallest surface area would be : -

[tex]➢ \: \: 10 \times 5[/tex]

[tex]➢ \: \: 50 \: \: cm {}^{2} [/tex]

[tex]➢ \: \: 0.005 \: \: m {}^{2} [/tex]

(product of two Smaller sides)

pressure applied by smallest surface area of brick :

[tex]➢ \: \: \dfrac{20}{0.005} [/tex]

[tex]➢ \: \: \dfrac{20}{5} \times 1000[/tex]

[tex]➢ \: \: 4000 \: \: pascals[/tex]

Let's find the ratio :

[tex]➢ \: \: \dfrac{1000}{4000} [/tex]

[tex]➢ \: \: \dfrac{1}{4} [/tex]

[tex]➢ \: \: 1 : 4[/tex]

[tex]\mathrm{✌TeeNForeveR✌}[/tex]

Answer:

Answer B as the difference between the values is the same

Answer:

$200

Step-by-step explanation:

Given :

Cost of blender + import duty = $240

Import duty = 20% of cost price

Let :

Cost of blender = x

Import duty = 20% of x = 0.2x

Therefore,

x + 0.2x = $240

1.2x = 240

x = 240 / 1.2

x = $200

Cost of blender = $200

Answer:

B on edge 2021

Step-by-step explanation:

Answer:

Step-by-step explanation:

stuck under the bed??

lemme jus quickly pull you back....lol

Answer:

Draw 8 boxes with 8 cupcakes in each one of them.

Step-by-step explanation:

34+30=64, and 64/8 also equals 64.

Answer:

Formula: C= $15n + $250

50 People: $1000

100 People: $1750

Formula: n= (C- $250)/ 15

$4000 Budget: 250 Guests

$2000 Budget: 116.67 Guests

Step-by-step explanation:

Since the rental is $250 with an additional charge of $15 per person, we write this as C = $250 + $15n.

With the given equation, simply substitute n for the amount of guests.

C = $250 + $15(50) = $1000

C = $250 + $15(100) = $1750

To solve for n, everything would need to be moved to isolate n. This can be achieved by first subtracting $250 from each side: C- 250= 15n

Then divide both sides by 15, making the new equation: (C-250)/15 = n

Again, substitute C with allowed cost to find the amount of guests allowed.

n = ($4000- 250)/ 15 = 250 People

n = ($2000-250)/15 = 116.67 People

The correct steps of how to construct a copy of line with the aid of a compass would be given below as follows

To construct a line segment, the correct matching of the steps are given below as follows:

Step one: Start with line segment PQ that we will copy.

Step two: Set the compass point on the point P of the line segment to be copied.

Step three: Adjust the compass width to the point Q. The compass width is now equal to the length of the line segment PQ.

Step four:Mark a point R that will be one endpoint of the new line segment.

Step five : Without changing the compasses width, place the compasses point on the point R on the line you drew previously.

Step six: without changing the compasses width draw an arc roughly where the other endpoint will be.

Step seven pick a point S on the arc that will be the other endpoint of the new line segment.

Step eight: Draw a line from R to S.

Step nine: The line segment RS is equal in length (congruent to) the line segment PQ.

Learn more about line segments here:

https://brainly.com/question/24778489

#SPJ1

Answer:

2479.95

Step-by-step explanation:

i worked out that guys problem who wouldnt work it out for you.

Step-by-step explanation:

the correct answer is

a. { ½(c-a), ½(d-b) }

________________

General formula

So

Here

for (a,b) and (c,d)

Midpoint

Option A

Answer:

x=20,y=34

Step-by-step explanation:

x+14=2x-6 (vertically opposite angles)

x-2x = -6-14

-x = -20

x=20

x+14=y (corresponding angles)

20+14=y

y=34

Answer:

x = 20, y = 34

Step-by-step explanation:

(2x - 6) and (x + 14) are vertical angles and are congruent, then

2x - 6 = x + 14 ( subtract x from both sides )

x - 6 = 14 ( add 6 to both sides )

x = 20

Then

2x - 6 = 2(20) - 6 = 40 - 6 = 34

y and (2x - 6) are alternate angles and are congruent , so

y = 34

Answer:

83.5units

Step-by-step explanation:

Find the diagram attached

Since both triangles are similar, then;

AB/DB = BC/EF

11/54 = 17/EF

Cross multiply

11EF = 17 * 54

11EF = 918

EF = 918/11

EF = 83.5

Hence the length of EF to the nearest tenth is 83.5units

Answer:

Set y = 0, evaluate the quadratic at h=−b2a and solve for k.

k=9 I think..... I'm not completely sure but I think that's how it is

Answer:

[tex]\displaystyle \text{Vertex} = \left(k, 3-k^2\right)[/tex]

Step-by-step explanation:

We are given the quadratic equation:

[tex]y=x^2-2kx+3[/tex]

Where k is a non-zero constant.

And we want to determine the vertex of the parabola in terms of k.

The vertex of a parabola is given by the formulas:

[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = 1, b = -2k, and c = 3.

Find the x-coorinate of the vertex:

[tex]\displaystyle x=-\frac{(-2k)}{2(1)}=\frac{2k}{2}=k[/tex]

To find the y-coordinate, we substitute the value we acquired back into the equation. So:

[tex]\displaystyle \begin{aligned} y(k)&=(k)^2-2k(k)+3\\&=k^2-2k^2+3\\&=3-k^2\end{aligned}[/tex]

Therefore, our vertex in terms of k is:

[tex]\displaystyle \text{Vertex} = \left(k,3-k^2\right)[/tex]

Answer:

5/2

Step-by-step explanation:

We know,

Equation of the slope is, y = mx + c.   Where m is the slope.

y - 4 = 5/2*(x-2)

y = 5/2*(x-2) + 4

y = (5/2)x - 5 + 4

y = (5/2)x - 1

y = (5/2)x + (-1)      [y = mx + c form]

Slope, m = 5/2

Hope this will help. Please mark me brainliest.

Simplify 52⋅(x−2)52⋅(x-2). Apply the distributive property. y−4=5/2x+5/2⋅−2 Combine 5252 and x

y−4=5x2+5/2⋅−2 Cancel the common factor of 2.Factor 2 out of −2

y−4=5x2+52⋅(2(−1))y-4=5x2+52⋅(2(-1))

Cancel the common factor.

y−4=5x2+52⋅(2⋅−1)y-4=5x2+52⋅(2⋅-1)

Rewrite the expression.

y−4=5x2+5⋅−1y-4=5x2+5⋅-1

Multiply 55 by −1-1.

y−4=5x2−5

Add 44 to both sides of the equation.

y=5x2−5+4y=5x2-5+4

Add −5-5 and 44.

y=5x2−1

Reorder terms.

y=52x−1

THE ANSWER IS M = 5/2

Answer:

r = (200 - y)/π

Step-by-step explanation:

The question details  includes;

The shape of the indoor track = Two semi-circular ends and a mid rectangular region

The distance around the indoor track = 400 meters

The radius, r, of the semicircular ends in terms of y = Required

Let y represent the length of the rectangular middle area of the track, we have;

The perimeter of the indoor track = The distance around the track = 400 m

The perimeter of the indoor track = 2 × π·r + 2 × y = 400

2 × (π·r + y) = 400

∴ π·r + y = 400/2 = 200

r = (200 - y)/π

Answer:

y = -1/2 x -5

Step-by-step explanation:

The slope intercept form of an equation is

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

We know b

y = mx-5

Substitute the values of x and y into the equation to determine the slope

-2 = m(-6) -5

Add 5 to each side

-2+5 =-6m

3 = -6m

Divide by -6

3/-6 = m

The slope is -1/2

y = -1/2 x -5

It is two minutes past nine

Answer:

$189.74

Step-by-step explanation:

Since the sales tax is 6%,

179x0.06=10.74

Add to the starting price, 179.00+10.74=189.74!

I hope this helped!

Answer:

x = -3

Step-by-step explanation:

3^x = 1/27

Rewriting

1/27 as 1/3^3 = 3^-3

3^x = 3^-3

Since the bases are the same, the exponents are the same

x = -3

Answer:

Step-by-step explanation:

4/81x

Answer: 70,900 Rs

Step-by-step explanation:

  8400

  8000

  2000

 10000

 40000

   3000

+     500

  71900

-    1000

   70900

= 70,900 Rs

Answer:

565.6854249 without rounds

Answer:

Step-by-step explanation:

Well, the area is 400m^2 so we know each side is 20 feet long. Then with that we can make a 40deg 40deg 90deg triangle with the side lengths 20, 20, and x. So, the proportion would be 20/1=x/rad2. This gives us x=28.28, so the fence is 28.28m long. Hope this helps :))

Answer:

y - 4 = (9/4)(x - 4)

Step-by-step explanation:

Here we're given the slope (9/4) of a line and one point (4, 4) on the line.  The easiest form of the equation of a straight line to use here is the point-slope form:

y - k = m(x - h).

Here h = 4 and k = 4; the slope is m = 9/4.

Thus, the desired equation is

y - 4 = (9/4)(x - 4)

Solution :

As Sally determines the angle of rotation, since it is π, she lies on the negative x-axis. The first block then should be negative x-axis if r is positive and in the positive x-axis if r is negative.

My other reason for changing the dragged phase would be as they used the word, therefore, in the last sentence, which would mean an interference from the above statements, from the drag phase you have given the interference would be positive x-axis.

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

250,000 cm squared

Step-by-step explanation: