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What is the value of 3/7 * 0.1 / 5/21?

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Work Shown:

We see that one of the legs is unknown. We'll call this 'a'.

The other leg is b = 2, which becomes b^2 = 4

The hypotenuse (always opposite the 90 degree angle) is c = sqrt(58). This turns into c^2 = 58 when you square both sides.

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Use the pythagorean theorem to get

a^2+b^2 = c^2

a^2+4 = 58

a^2 = 58-4

a^2 = 54

a = sqrt(54)

a = sqrt(9*6)

a = sqrt(9)*sqrt(6)

a = 3*sqrt(6)

The third side in simplest radical form is x=3[tex]\sqrt{6}[/tex]

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called the hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios, metric relationships, or the Pythagorean Theorem.

For solving this question, you need to apply the Pythagorean Theorem that says: (hypotenuse)²= (leg1)²+(leg2)².  

The question gives:

Applying the Pythagorean Theorem, you have:

([tex]\sqrt{58}[/tex])² = 2²+ x²

58=4+x²

x²=58-4

x²=54

x=[tex]\sqrt{54}[/tex]

x=[tex]\sqrt{2*3^3}[/tex]

x=[tex]\sqrt{2*3^2*3}[/tex]

x=3[tex]\sqrt{2*3}[/tex]

x=3[tex]\sqrt{6}[/tex]

Learn more about the Pythagorean theorem here:

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Answer:

The price before the increase was £21.20

Step-by-step explanation:

Now, let the former price before the increment be £x

The increment would be 22-x

Mathematically, the percentage increment = difference between the prices/old price * 100%

Thus, we have(

(22-x)/x * 100 = 4

100(22-x) = 4x

2200-100x = 4x

100x + 4x = 2200

104x = 2200

x = 2200/104

x = 21.154

which is x = 21.2 to the nearest penny

Answer:

21.15

Step-by-step explanation:

22 × 10 = 220

100%+4%=104

104 ÷ 10 = 10.4

220 ÷ 10.4 =21.15384615

To the nearest penny it would be 21.15

Answer:

x < 6.5

y < -1.5

Step-by-step explanation:

y > x - 8

Therefore x < y + 8

y < 5 - x

Therefore x < 5 - y

2x < 13

x < 6.5

6.5 < 5 - y

y < -1.5

Answer:

(n-1) / 2

Step-by-step explanation:

We have that the sum has the form of:

Sn = n / 2 [2 * a + (n-1) * d]

we compute the terms of a and d

a = 1 - 1 / n

a = (n - 1) / n

, that is, the first term, in the case d is the subtraction between the second and the first term, thus:

d = 1 - 2 / n - (1 - 1 / n)

d = 1 - 2 / n - 1 + 1 / n

d = - 1 / n

now if replacing these values:

Sn = n / 2 * [2 * (n - 1) / n + (n-1) * (- 1 / n)

Sn = n / 2 * [2 * (n-1) - (n-1)] / n

Sn = 1/2 * (n-1)

Therefore, the value of that sum is (n-1) / 2

Answer:

21

Step-by-step explanation:

−12 − (−25) + 8

Subtracting a negative is like adding

-12 +25+8

First do -12 +25  25-12 = 13  Replace in the equation

13+8

21

Answer:

Yes, the answer is

[tex]21[/tex]

Step-by-step explanation:

we know that,

[tex]( - ) \times ( - ) = ( + )[/tex]

Now let's solve the problem,

[tex] - 12 - ( - 25) + 8 \\ - 12 + 25 + 8 \\ = 21[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: Yes there is

Step-by-step explanation:

look bro your trying to get a total of 180 degrees

you already got 72 and 53 degrees

so add the two numbers and then subtract it from 180 degrees

thats 180 degrees minus 125 degrees

your missing point is 55 degrees

Answer:

47/73

Step-by-step explanation:

There are 73 people who like tea. 47 are women, 26 are men. This means that the probabili that the person chosen is a women is 47 out of the 73.

Answer:

It will take 2 hours

Step-by-step explanation:

6/3 = 2

Answer:

2 hours

Step-by-step explanation:

3 miles + 3 miles = 6 miles

1 hour + 1 hour = 2 hours

Answer:

positive

Step-by-step explanation:

negative and negative = positive

positive and positive = positive

positive and negative  = negative

negative and positive = negative

hope u got what u needed

Answer:

The correct answer is positive

Step-by-step explanation:

Negitive x Negitive = Positive

Positive x Positive = Positive

Negitive x Postive = Negitive

Positive x Negitive = Negitive

This should help you for next time you have a question like this.

I hope this helps.

Answer:

Around 13.7

Step-by-step explanation:

The cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse. In this case, this means:

[tex]\cos 70= \dfrac{x}{40} \\\\x=40\cdot \cos 70\approx 13.7[/tex]

Hope this helps!

The Answer:

2 is an integer.

Answer:

c

Step-by-step explanation:

edgeinuity

The solution of the system of equation can be solved by using substitution method. Therefore, the solutions of the system 7x + 3y = -3 and y = -2x is (-3, 6)

7x + 3y = - 3

y = - 2x

Substitute the value of y in equation(i)

Therefore,

7x + 3(- 2x) = -3

7x  - 6x  = -3

x = -3

Let's find y by substituting the value of x in equation(ii)

y = -2x

y = -2(-3)

y = 6

Therefore, the solution set of the equation is (-3, 6)

learn more on system of equation; https://brainly.com/question/1632711

Answer:

A,E

Step-by-step explanation:

A    The minimum number of pages read was 24.  The smallest number is the dot on the left side which is at 24

E    The mean is the middle line in the box, this is at 48

Answer: [tex]f^{-1}(x)=\frac{x}{7}+\frac{1}{14}[/tex]

Step-by-step explanation:

If we have y=7x-1/2, the inverse is where we solve for x instead of y.

We can isolate x to get 7x=y+1/2, then divide by 7 to get x=y/7+1/14.

Therefore, [tex]f^{-1}(x)=\frac{x}{7}+\frac{1}{14}[/tex].

Hope that helped,

-sirswagger21

Answer:

The legnth of side AB would be 3 units

Step-by-step explanation:

First, you would determine that both point A and point B would have the same y-coordinate of 1.   Then you would determine the difference between the x values of points A and B.  Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.

Step-by-step explanation:

I recommend using Desmos to quickly graph things (it's much faster than doing it yourself, I use it often. You can graph points and everything).

The picture ends up looking like the attachment I have below.

This is now a simple subtraction.

A is at 2 on the x-axis and B is at 5.

5-2=3

Answer:

3 units

Find the area of the triangle and multiply by the length of the prism.

Area = 1/2 x 8x3 = 12 square yds.

Volume = 12 x 6 = 72 cubic yards.

Answer:

16? maybe

Step-by-step explanation:

i justed counted from 9 to 25,l

Answer:

8 or 17

Step-by-step explanation:

The system of equations for this is:

x = 9 + y

x + y = 25

Find the value of y by plugging the first equation into the second.

9 + y + y = 25

9 + 2y = 25

2y = 16

y = 8

One of the numbers is 8.

OR

Find the value of x by plugging the value of y into one o the equations.

x = 9 + 8

x = 17

or

x + 8 = 25

x = 17  

One of the numbers is 17.

Answer:

2880 minutes are in two days

Answer:

5 units

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

30 = 1/2 (12)h

Multiply

30 = 6h

Divide each side by 6

30/6 = 6h/6

5 = h

Answer:

5 units

Step-by-step explanation:

Next time please supply the formula, which was apparently given in this question:

A = (1/2)(base)(height)

Here, A = 30 units^2 = (1/2)(12 units)(height), or

                30 units^2 = (6 units)(height)

Solving for (height), we get

                 30 units^2

(height) = ------------------ = 5 units

                   6 units

The height is 5 units

Answer:

A= 61

B=119

Step by step:

a; interior angle

180-(27+92)

=180(119)

=61

b; exterior angle

180-61

=119

Answer: 61 and 119

Step-by-step explanation:

Answer:

It will be the first option.

Step-by-step explanation:

Why? because you are trying to get the total amount so you need to cancel everything and have the final answer.

and it will be like this:

(600+40)x=2400

x=2400÷ 640

x=3.75

and if you round it; x=4

Answer:

22.9 yards

Step-by-step explanation:

Since b² = a² - c² where a = vertex of major axis, 2a = 50 yards the length of the major axis. So , a = 50/2 = 25 yards. c = focus of chamber = 10 yards from center and b = vertex of minor axis.

So, b = ±√(a² - c²)

= ±√(25² - 10²)

= ±√(625 - 100)

= ±√525

= ±22.91 yards

≅ ± 22.9 yards

Since b = length of minor axis from center of chamber = 22.91 yards. So, he should build the whisper chamber 22.9 yards out from the center of the chamber.

Answer:

(x+2)²+1

Step-by-step explanation:

because the graph we know that gx is (x+2)²+1

Answer:

0

Step-by-step explanation:

Ok use the equation: (Y2 - Y1) / (X2 - X1)

((-2) - (-2)) / ((-9)-(-1))

0/ -8

we know that 0 divided by any number is 0

so slope = 0

Answer:

Her average speed is 94 km/h

Time taken is 3.5 hours

Step-by-step explanation:

Let Evan’s average speed be x km/h.

now since Meghan drove faster, according to the question, we can say her average speed would be x + 6 km/h

Mathematically, time = distance/speed

so; since time is the same; we have

308/x = 329/(x + 6)

cross multiply

329(x) = 308(x + 6)

329x = 308x + 1848

329x-308x = 1848

21x = 1848

x = 1848/21

x = 88 km/h

Meghan average speed = x + 6 = 88 + 6 = 94 km/h

Time taken would be 329/94 = 3.5 hours

Answer:

Step-by-step explanation:

55x + 70y = 1480

x + y = 25

55x + 70y = 1480

-55x -55y = -1375

15y = 105

y = 7 VIP tickets sold

x + 7 = 25

x = 18 general admission tickets

(18,7)