Two quantities that form a proportion are?

Step-by-step explanation:

i) C = πd

C = π × 20yd

C = 20π yards

ii) A = πr²

A = 3.14 × 3²

A =28.26 m²

note that the radius here is 6/2 = 3m.

Answer:

36°

Step-by-step explanation:

108°+ 108°+ 2x+ 2x =360°

4x +216° = 360°

4x= 360°- 216°

Just X= 144°/4

=36°

2x= 2(36)

= 72°

[tex] \huge \boxed{ \tt x = 83 {}^{\circ} }[/tex]

x + 47 + 50 = 180 (sum of angles of triangle = 180°)

x + 97 = 180°

x = 180° -97

x = 83 °

Answer:

Step-by-step explanation:

Set inequality and solve:

Correct choice is C

[tex]25x ≥ 350[/tex]

[tex]x ≥ \frac{350}{25}[/tex]

[tex]x ≥ 14[/tex]

Answer is C option

Answer:

15/40 seats

Step-by-step explanation:

tamang sagot po yan

#carry on learning

Answer:

5/6

Step-by-step explanation:

Find a common denominator for 1/2 and 1/3.

6

Then find the amount it equals to when 6 is the denominator

1/2 = 3/6

1/3 = 2/6

Now add them

2/6 + 3/6 = 5/6

Answer:

Combine the fractions by finding a common denominator.

Exact Form:

5/6

Decimal Form:

0.8¯3 (bar notation)

Step-by-step explanation:

Hope this helps =)

Answer:

2.24

Step-by-step explanation:

First I calculated the price for one g with the equation 2.56/400g.

I got .0064 per gram.

You can then multiply this by the 350g to get 2.24

Hope this helps

Answer:

x = 2 and y = 3

Step-by-step explanation:

given:

using elimination rule:

 2x - 3y = -5

- 2x - y = - 7

................................

-4y = -12

y = 3

Find x:

2x - 3y = -5

2x - 3(3) = -5

2x - 9 = -5

2x = - 5+9

2x = 4

x = 2

Answer:

[tex]y=3\\x=2\\[/tex]

Step-by-step explanation:

[tex](2x-3y)-(2x+7)\\=-4y=(-5)-(7)\\-4y=-12\\y=12/4\\y=3[/tex]

Insert y=3 into any one equation in the system of equations:

[tex]2x-3(3)=-5\\2x-9=-5\\2x=4\\x=4/2\\x=2[/tex]

or

[tex]2x+(3)=7\\2x=4\\x=4/2\\x=2[/tex]

Considering a linear function, it is found that this activity costs 240 rands.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem, we suppose that:

Hence, the cost of sending x messages is given by:

y = 5x + 100.

February has 28 days, hence:

y = 5(28) + 100 = 240

This activity costs 240 rands.

More can be learned about linear functions at https://brainly.com/question/24808124

» Twice a number is 500 more than six times the number. What is the number?

— — — — — — — — — —

Let the number be x.

Then,

[tex]2x = 6x + 500 \\ 2x - 6x = 500 \\ \: \: \: \: \: \: \: - 4x = 500 \\ \: \: \: \: \: \: \: \: \frac{ \cancel{- 4}x}{ \cancel{- 4}x} = \frac{500}{ - 4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \underline{ \boxed{ \blue{ - 125}}}[/tex]

Hence, the number is -125.

Using algebraic expression, the number is calculated as: -125.

An algebraic expression involves using numbers and variables to make statements.

Let the unknown number be represented as x. Therefore:

Twice the number is 2x

2x is 500 more than 6x is 2x = 6x + 500

Solve the algebraic equation to find the number (x):

2x = 6x + 500

2x - 6x = 500

-4x = 500

x = -500/4

x = -125

Thus, using algebraic expression, the number is calculated as: -125.

Learn more about algebraic expression on:

https://brainly.com/question/2164351

Answer:

D. 15

Step-by-step explanation:

I assume you know what pascal's triangle is if this is the work you must complete. If not, I have attached it below.

Now, raising (a+b) to the 6th term would expand to this, based on Pascal's triangle

[tex]\left(a+b\right)^6 = \quad a^6+6a^5b+15a^4b^2+20a^3b^3+15a^2b^4+6ab^5+b^6[/tex]

Remember that terms are separated by addition or subtraction symbols.

The 5th term of this 7 term expansion would be 15a^2b^4. The coeffecient is 15 in this case.

~~~~~~~~~~~~~~~~~~~~~~~~

Let me know if you have any questions! Spread the Love.

Answer:

4x-2y=-1  multiply by 3

5x-3y=7  multiply by 3

12x+6y=-3

10x-6y=14  add them

so =22x=11

   x=1/2

5(1/2)-3y=7

2.5-3y=7 take 2.5 to the other side

-3y=4.5

y=-3/2  

therefore x=1/2 and y=-3/2

Step-by-step explanation:

Answer:

19+j=59

Step-by-step explanation:

Sum means adding and "and" in math means +

Answer:

-1/10, 2/10, and 4/10

Step-by-step explanation:

A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0.

First, what is the lcm of 5 and 2? the lcm is 10, because that is the lowest number than can be divided separately by 5 and 2 and the results would still be a whole number.

We now need to find 3 rational numbers between -2/10 and 5/10. It's easy now that I've explained it, right?

-1/10, 2/10, and 4/10 are between -1/5 and 1/2 and are integers with the given explanation.

Hope this helps.

Angle of elevation is angle measured from horizontal line to line of sight, The distance from the plane to the observer is 25,636 feet approx

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal line to the point where you stopped your head is called angle of elevation. See the figure where angle OPD is the angle when observer saw the plane. It  is measured from the horizontal line OD.

Refer to the attached figure.

It is given that we have

Length of PD = |PD| = 21,000 feet

Angle ∠OPD = 55°

Assuming length of OP = |OP| = x feet, we get the sin ratio as

[tex]sin(55^\circ) = \dfrac{|PD|}{|OP|} = \dfrac{21000}{x}\\\\x = \dfrac{21000}{\sin(55^\circ)} \approx 25636.27 \approx 25636 \: \rm feet[/tex]

(tan 55°  was calculated from online calculator)

Thus,

The distance from the plane to the observer is 25,636 feet approx.

Learn more about trigonometric ratios here:
https://brainly.com/question/22599614

Answer:

B. 25,636 ft.

Step-by-step explanation:

Cause I'm Asian, I make the rules here...

Answer:

The answer is C .

Step-by-step explanation:

Answer:

x = -1/7   or  -0.14285 - in decimal form

Step-by-step explanation:

8x + 5 = -6x + 3

8x + 6x = 3 - 5       { change side }

14x = -2                  { basic addition and subtraction }

x = -2/14                 { changing sides }

x = -1/7                    { simplified }

Answer:

[tex]x ∈ R,a=1[/tex]

Step-by-step explanation:

i believe this is the answer but i am not 100% sure

Answer: It does not

Step-by-step explanation:

Answer:

x = 3/2 | y = -3

Step-by-step explanation:

Given equations:

Substituting from equation (i) for y:

==> 2x - 6 = -4x + 3

==> 2x + 4x = 6 + 3

==> 6x = 9

dividing both sides by 3:

==> 2x = 3

==> x = 3/2

Substituting 3/2 for x in equation (i):

==> y = 2(3/2) - 6

==> y = 3 - 6

==> y = -3

[tex] - 4x + 3 = 2x - 6 \\ 6x = - 9 \\ 2x = - 3 \\ x = - 1.5[/tex]

Answer:  (3000)*(0.09)*(4) = $1,080.00

Step-by-step explanation:

When money is borrowed, interest is charged for the use of that money over a certain period of time. The amount of interest charged depends on the amount of money borrowed, the interest rate and the length of time for which the money is borrowed.

Principal is the amount of money borrowed. The interest rate is given as a percent. Time is the length of time in years for which the money was borrowed.

Interest = Principal * Rate * Time which is also written as I = P*R*T

Principal = $3,000, Interest rate = 0.09 and Time = 4

Raquel had to pay back $3,000 in principal plus $1,080 in interest for a total of $4,080.00

(3000)*(0.09)*(4) = $1,080.00

By using the graph, we will see that k = 1.85

Here we have the exponential function:

f(x) = k*(3)^x

And we want to find the value of k.

To find it, we need to use one point on the graph. the only one easy to read is the one for x = 3, we can see that when x = 3, f(x) = 50.

Then we have:

f(3) = 50 = k*(3)^3 = k*(3*3*3) = 27*k

Solving that for k we get:

50 = 27*k

50/27 = k = 1.85

If you want to learn more about exponential functions, you can read:

https://brainly.com/question/11464095

Answer:

if a cube has a volume of 8 it has a side length of 2 so the answer is 2

Answer:

Step-by-step explanation:

[tex]4x^{2} + x - 3 \ Quadratic \ polynomial \ [ highest \ exponent \ is \ 2 ][/tex]

[tex]\dfrac{3}{5}v^{3}(3v^{2} -9)=\dfrac{3}{5}v^{3}*3v^{2}-\dfrac{3}{5}v^{3}*9=\dfrac{9}{5}v^{5}-\dfrac{27}{5}v^{3}[/tex]

Highest exponent is 5 and number of terms is 2. So, quintic  binomial

[tex]36m^{6}-9n^{2}[/tex]

Highest exponent is 6 and two terms. So, hexic binomial

Answer:

M=7.5

Step-by-step explanation:

hope this helps!

Answer:

The answer is X=11 and X=-11

Step-by-step explanation:

[tex] {x}^{2} = 121 \\ \sqrt{121} = 11 \\ therefore \: value \: of \: x \: is \: 11[/tex]

Explanation:

There are 6 blocks across the width, 3 blocks along the height, and 2 blocks along the depth.

The volume is 6*3*2 = 18*2 = 36 cubic inches. In other words, there are 36 small blocks that make up this bigger 3D solid.