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√9 is rational and √3 irrational number

Answer:

Given  : isosceles right triangle  hypotenuse = 8 cm  

To find : leg of  isosceles right triangle

Solution

isosceles right triangle

Hence Perpendicular = base  

Both legs are of Equal length

Applying Pythagoras theorem

Perpendicular² + base² = Hypotenuse²

Hypotenuse = 8 cm given

=> Perpendicular² + base² = 8²

Perpendicular = base   = x

=> x² + x² = 64

=> 2x² = 64

=> x² = 32

=> x  = 4√2

legs of  isosceles right triangle whose hypotenuse is  8 cm  

are 4√2  cm

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

15/8

Step-by-step explanation:

Applying

tanθ = Opposite(O)/Adjacent(A)

tanθ = O/A............ Equation 1

From the diagram,

To get the opposite(O), we apply pythagoras theorem

a² = b²+c²

Where c = opposite

17² = 8²+c²

289 = 64+c²

c² = 289-64

c² = 225

c = √225

c = 15

Substitute into equation 1

Therefore,

tanθ = 15/8

Hence the exact value of tanθ is 15/8

Answer:

y = 45

Step-by-step explanation:

y = 9x

input = 5

y = 9(5)

9(5) = 45

y = 45

53,38

Step-by-step explanation:

x = √15² + 8²

x = √225 + 64

x = √289

x = 17

circle's circumference = π × d

3,14 × 17 = 53,38

Answer:245

Step-by-step explanation:

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

Explanation:

Every point on the line y = 7 has a y coordinate of 7. Two such points are (0,7) and (1,7). The x coordinate can be anything you want. This line is completely horizontal and parallel to the x axis.

We can think of y = 7 as y = 0x+7. It's of the form y = mx+b with m = 0 as the slope and b = 7 as the y intercept.

Answer:

[tex]y=1[/tex]

Step-by-step explanation:

Given:

[tex]6=2(y+2)[/tex]

Distribute the parenthesis

[tex]6=2y+4[/tex]

Subtract both sides by 4

[tex]2=2y[/tex]

Divide both sides by 2 to get [tex]y[/tex] alone

[tex]1=y[/tex]

Hope this is helpful

Answer:

d is the answer ✌sin ०=3000/3050

Answer:

[tex]{ \tt{slope = \frac{7 - 1}{0 - ( - 2)} = 3 }} \\ \\ { \tt{y = mx + c}} \\ { \boxed{ \bf{y = 3x + 7}}}[/tex]

Answer:

During a canoeing trip, it takes Raymond 4 hours to paddle 12 miles upstream. It takes him 3 hours to make the return trip paddling downstream. Find the speed of the canoe in still water

Step-by-step explanation:

sorry i dont know

Answer:

[tex](2,4)[/tex]

Step-by-step explanation:

Hope it is helpful...

-pi/4 is the same thing as 7pi/4.

The sine function will get us the y-value we need.

Keep in mind that our y-value will be negative (based on the position of the line), and pi/4 and 3pi/4 will both have positive y-values.

Therefore, the correct expression is sin(7pi/4).

Hope this helps!! :)

Answer:

x = + 5/4 or x = - 5/4

Step-by-step explanation:

[tex]4 x^2 = 6\frac{1}{4}\\\\4 x^2 = \frac{25}{4}\\\\x^2 =\frac{25}{16}\\\\x = \pm \frac{5}{4}[/tex]

Answer:

no thanks i dont feel like doing all that work to help u. i apologize my dear friend bahahahahahahahahahahhahaha

Step-by-step explanation:

Answer: 20 nickels to make $2.00

Step-by-step explanation:

Answer:

5x = 200

x=40

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

mode is the number that is most frequent

11

Answer:

11

Step-by-step explanation:

Mode means the highest repeated observation in the data set,

Therefore Mode = 11, as 11 has repeated 3 times, the most in the data set

Answer:

C: tan 60 = √3

Step-by-step explanation:

Let the adjacent part of the triangle be x and let the opposite side be y.

Thus, from trigonometric ratios;

x/10 = cos 60

We are given cos 60 = ½

Thus;

x/10 = ½

x = ½ × 10

x = 5

Similarly;

y/10 = sin 60

Now,from trigonometric relationship we know that; sin 60 = cos 30. Thus;

y/10 = cos 30

We are given cos 30 = (√3)/2

Thus;

y/10 = (√3)/2

y = 10 × (√3)/2

y = 5√3

Since it is a right angle triangle with one angle being 60°, it means the other one is 30° since sum of angles in a triangle is 180°.

Thus;

5/(5√3) = tan 30°

1/√3 = tan 30

Similarly;

5/10 = sin 60°

sin 60° = ½

Also;

tan 60 = (5√3)/5

tan 60 = √3

Also;

sin 30 = 5/10

sin 30 = ½

Looking at the options, the only correct one is Option C

Answer:

0

Step-by-step explanation:

tan2°- cot 88° = tan 2° - tan (90-88)°

= tan 2°-tan 2° = 0

Answer:

Step-by-step explanation:

➡️tan 2° - cot 88°

➡️tan 2° - tan (90° - 88°)

➡️tan 2° - tan 2°

➡️ 0 ✅

Answer:

what are the choices?? if you don't mind me asking

Answer:

the second option

yes, because they are similar triangles

Step-by-step explanation:

the scaling factor is 3

3×3 = 9

3×7 = 21

so, the ratios of the sides remain the same, and the 90 degree angle remains the same. therefore, just one triangle is larger than the other, but the relative attributes and even the orientation are the same, so yes, since we don't know the absolute coordinates of the corners, indeed, the Hypotenuse of both triangles could be on the same line.

Answer:

D

Step-by-step explanation:

We are given:

[tex]\displaystyle \sqrt{\sqrt[3]{2}}[/tex]

Recall the property:

[tex]\displaystyle \sqrt[b]{x}=x^{1/b}[/tex]

Hence:

[tex]\displaystyle \sqrt{\sqrt[3]{2}}=\sqrt{2^{1/3}}[/tex]

Using the same property:

[tex]\sqrt{2^{1/3}}=(2^{1/3})^{1/2}[/tex]

Recall the property:

[tex](x^a)^b=x^{ab}[/tex]

Hence, multiply:

[tex](2^{1/3})^{1/2}=2^{1/6}[/tex]

Therefore:

[tex]\displaystyle \sqrt{\sqrt[3]{2}}=2^{1/6}[/tex]

Our answer is D.

Answer:

The answer is [tex]2^{\frac{1}{6} }[/tex].

Step-by-step explanation:

To find which answer is equal to [tex]\sqrt{} \sqrt[3]{2}[/tex], start by simplifying [tex]\sqrt{} \sqrt[3]{2}[/tex]. The radical will simplify to [tex]\sqrt[6]{2}[/tex].

An easy way to determine which answer is correct, convert each of the numbers to decimal form.

For [tex]\sqrt[6]{2}[/tex], it will look like 1.122 in decimal form.

For [tex]2^{\frac{2}{3} }[/tex], it will look like 1.587 in decimal form.

For [tex]2^{\frac{3}{2} }[/tex], it will look like 2.828 in decimal form.

For [tex]2^{\frac{1}{3} }[/tex], it will look like 1.260 in decimal form.

For [tex]2^{\frac{1}{6} }[/tex], it will look like 1.122 in decimal form.

Then, by seeing which two decimal forms are the same, it causes the answer to be [tex]2^{\frac{1}{6} }[/tex].

Answer: [tex]\$30,360[/tex]

Step-by-step explanation:

Given

Jed makes [tex]\$34,500[/tex] per year

After the loss of contract, a paycut of 12% is there

The amount after the paycut is

[tex]\Rightarrow 34,500(1-0.12)\\\Rightarrow 34,500\times 0.88\\\Rightarrow \$30,360[/tex]

Answer:

C: isolate the x squared by using inverse operations

Step-by-step explanation:

This method of solving quadratic equation is used when there is only x² term and no x term. Thus;

For example, we have a quadratic equation;

x² - 1 = 80

To solve this by square root method, the first step we have to take is to isolate the x² term by inverse operation which is by addition of 1 to both sides to get rid of the -1 on the left side so that x² can be isolated.

Answer:

42.1

Step-by-step explanation:

15.2% = 0.152

277 * 0.152 = 42.104

42.1 megabytes have been downloaded.

Hope this is helpful.

Answer:

42.1

Step-by-step explanation:

thanks for the pts

✌️❤️✌️

Answer:

Area = 72 square feet

Step-by-step explanation:

[tex]4(3x+3y)[/tex]

Multiply the four to the values inside the parentheses to find the "equivalent expression"

[tex]12x +12y[/tex]

Using the "equivalent expression" we found above, we now want to find the area of Ray's living room, in square feet if [tex]x=2[/tex] and [tex]y = 4[/tex]

[tex]12(2) + 12(4)[/tex]

[tex]= 24 +48[/tex]

[tex]= 72[/tex]

Answer:

42 in binary number is 101010.

Answer:

Average rate of change = 0.6

Step-by-step explanation:

Average rate of change of a function between x = a and x = b is given by,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

From the graph attached,

f(-5) = 0

f(0) = 3

Average rate of change of the graph between x = -5 and x = 0,

Average rate of change = [tex]\frac{3-0}{0-(-5)}[/tex]

                                        = [tex]\frac{3}{5}[/tex]

                                        = 0.6

Therefore, average rate of change of the given function between x = -5 and x = 0 is 0.6.