Which angle number represents <KHI?​

Answer: 1. x= 20 units,   2. x= [tex]5\sqrt{3}[/tex] units    3. x= [tex]4\sqrt{2}[/tex] units.

Step-by-step explanation:

In a right triangle,

[tex]Hypotenuse^2= Perpendicular^2+Base^2[/tex]  (Pythagoras theorem)

1. Hypotenuse = x , Base = 16, Perpendicular = 12

[tex]\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20[/tex]

2. Hypotenuse = 14 , Base = 11, Perpendicular = x

[tex]\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}[/tex]

3.  Hypotenuse = 9 , Base = x, Perpendicular =7

[tex]\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

Like terms are terms that have the same variable raised to the same exponent. For example, 7z and 2z are like terms because they have the same variable, z, and are raised to the same exponent, 1. 5x² and 10x are not though, because the first one is raised to a power of 2, whereas the latter is only raised to a power of 1. And numbers with different variables, like 7x and 3z, are not either.

Answer: like terms are terms that have the same variables and powers

For example: 3x and 4x are like terms because they both are x and only x. 12xy and 4y would not be like terms because they don’t share the same variable. if it was 5x ² and 8x ² they would be like terms. i hope this helps!

Answer:

60°

Step-by-step explanation:

The sum of all three triangle angles add up to 180°. To solve for the last angle, add the sides you know together and subtract the sum from 180. This will leave you with the third angle's measurement,

40 + 80 = 120

180 - 120 = 60

The third angle of the triangle is 60°

A polygon with three angles, side, and vertices is called a triangle.

Given that, a triangle has angles that measure 40° and 80°.

We know that the sum of the interior angles of a triangle is 180°

Let the third angle be x,

40° + 80° + x = 180°

x = 180°-120°

x = 60°

Hence, the third angle of the triangle is 60°

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Answer:

b

Step-by-step explanation:

Answer:

4.2

Step-by-step explanation:

Hypotenuse ² = opposite ² + adjacent ²

Opposite = 3

Adjacent = 3

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse ² = 3² + 3²

Hypotenuse ² = 9 + 9

Hypotenuse ² = 18

Find the square root of both sides

√Hypotenuse² = √18

Hypotenuse = √18

Hypotenuse = 4.2426406871192

Hypotenuse = 4.2 to the nearest tenth

Answer: OMG i hope they are nice to you

Step-by-step explanation:

Answer:

- 4/5

Step-by-step explanation:

5X-7 = -11

   +7 = -11+7

5X = -4

Divide 5 on both sides

= - 4/5

Answer:

[tex]y^{6}[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]x^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex] , then

[tex]\frac{y^4 y^7}{^5}[/tex]

= [tex]\frac{y^{(4+7)} }{y^5}[/tex]

= [tex]\frac{y^{11} }{y^5}[/tex]

= [tex]y^{(11-5)}[/tex]

= [tex]y^{6}[/tex]

Answer:

c. 13

Step-by-step explanation:

[tex]c=\sqrt{a^{2}+b^{2}} = \sqrt{12^{2}+4^{2}}[/tex] ≈ [tex]12.64911[/tex] ≈ [tex]13[/tex]

Answer:

a) 10cm

b) 11.6 cm( approximately)

Step-by-step explanation:

Use pythagorean theorem

Luke charged an amount of $37.18 in sales tax which is determined by the evaluation of 6.25% of 595.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Luke bought a computer for $525 and two computer games for $34.99 each. The sales tax rate was 6.25%.

⇒ 525 + 2×34.99 = 595

We have to determine the evaluation of 6.25% of 595.

⇒ 6.25% of 595

6.25%  is expressed as 6.25/100 in fractional form

⇒ (6.25/100)(595)

6.25/100  is expressed as 0.0625 in decimal form

⇒ (0.0625 )(595)

Apply the multiplication operation, and we get

⇒ 37.18

Therefore, Luke charged an amount of $37.18 in sales tax.

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Answer: y = 1.73*x - 0.46

Step-by-step explanation:

For a linear equation of the form:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we have an angle of A degrees with respect to the x-axis, the slope of the function can be calculated as:

Tan(A) = a.

in this case, we have we have an inclination of 30° to the positive x-axis (measured from the positive y-axis) and we know that the angle between the positive x-axis and the positive y-axis is 90°, then the angle measured from the positive axis will be such that:

A + 30° = 90

A = 90° - 30° = 60°

Then the slope is:

a = Tan(60°) = 1.73

Then we have the equation:

y = 1.73*x + b

And we know that this line passes through the point (2, 3) then we can replace x by 2 and y by 3 in the equation, and find the value of b.

3 = 1.73*2 + b

3 - 1.73*2 = b = -0.46

Then the equation is:

y = 1.73*x - 0.46

Answer

down below

Step-by-step explanation:

i did it on your last post

please give me a brainliest!!

Answer:

The range of the equation is y ≥ 9 ⇒ C

Step-by-step explanation:

The quadratic equation y = ax² + bx + c, represents by a parabola of vertex (h, k), where h = [tex]\frac{-b}{2a}[/tex] and k is the value of y at x = h

∵ The equation is y = x² + 9

→ Compare it with the form above to find a and b

∴ a = 1 and b = 0

∵ a is a positive number

∴ The parabola has a minimum vertex

→ By using the 1st rule above

∴ The range is y ≥ k

→ Use the rule of h above to find it

∵ h = [tex]\frac{-(0)}{2(1)}[/tex] = [tex]\frac{0}{2}[/tex]

∴ h = 0

→ To find k substitute x by the value of h and y by k

∵ k = (0)² + 9

∴ k = 0 + 9

∴ k = 9

∴ The range of the equation is y ≥ 9

Answer:

t = 150 + 30a

Step-by-step explanation:

Treatment of Pedro costs = Expenditure for tests and medicines + fees given for appointments.

If number of appointments = a

Cost per appointment = $30

Cost of 'a' appointments = $30a

Therefore, equation representing the total cost 't' of the treatment will be,

t = 150 + 30a

Answer:24

Step-by-step explanation:

Since the numbers in the middle are 21 and 27, you add both and divide by 2 to get the number in the middle of those 2.

Answer:

24

Step-by-step explanation:

it is the median in the set.

Answer: A

Step-by-step explanation: Every hour the temperature goes down 2 degrees and the h wouldn't go on the 32! Good luck! :D

Answer:

C. t = –4h + 21

Step-by-step explanation:

We know that when h = 0, t = 21°F. Replacing h = 0 in  equation A and D we get:

A.

t = 21h + 4

t = 21(0) + 4

t = 4

D.

t = –21h + 4

t = –21(0) + 4

t = 4

So, none of them are correct.

The temperature drops 4 degrees every hour, this means that for h = 1 then t = 21 - 4 = 17. Replacing h = 1 in  equation B and C we get:

B.

t = 4h + 21

t = 4(1) + 21

t = 25

C.

t = –4h + 21

t = –4(1) + 21

t = 17

In consequence, C is the correct option.

Answer:

function 2

Step-by-step explanation:

Answer:

Function 2

Step-by-step explanation:

Answer:

[tex]z = \frac{q}{2} [/tex]

Step-by-step explanation:

[tex]z \infty q[/tex]

[tex]z = kq[/tex]

[tex]z = 2 \: and \: q = 1[/tex]

[tex]2 = k1[/tex]

[tex]k = \frac{2}{1} [/tex]

[tex]z = \frac{1}{2} q[/tex]

[tex]z = \frac{q}{2} [/tex]

9514 1404 393

Answer:

  z = 2q

Step-by-step explanation:

The formula for direct variation is ...

  z = kq . . . . . k is the constant of proportionality

We can find k using the given values of z and q:

  k = z/q = 2/1 = 2

Then the equation connecting z and q is ...

  z = 2q

Answer:

−4−7

=−4+−7

=−11

Step-by-step explanation:

if its the same sign add, different signs keep the sing of the larger number

Answer:

(6,5), (3,-4) either one of those...

Answer:

0.04

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

simple math the 4 is in the ones place

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

3x-7=3x-9+2

3x-7=3x-7

Group like terms

3x-3x=-7+7

0=0

Step-by-step explanation: the above calculations implies that, the equation has no solution, since all the unknown variables also vanish to zero.

Answer:

42 feet of string

Step-by-step explanation:

First, draw a diagram of the string, the height and the angle.

the length of the string is equal to the hypotenuse of the triangle

let length of the string=x

sin(θ)=opp/hyp

sin(72°)=40ft/x

x=40ft/sin(72°)

x=42.05848897ft≈42ft

Answer:

680

Step-by-step explanation:

85x8

Answer: 680 cubic feet

Step-by-step explanation: