What is the answer to part a and b?

Answer:

9 sqrt(2) /2 = x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hypotenuse

sin 45 = x /9

9 sin 45 = x

9 sqrt(2) /2 = x

Answer:

15/17

Step-by-step explanation:

cos=opp/adj

cos C=15/17

Answer:

84

59

Step-by-step explanation:

In other to have the same number of chayes in both rows and columns ;

If the Number of chairs per row = x ; then number of chairs per column = x

Then the total number of chairs needed = x * x = x²

Hence, if there are 5100 chairs ;

Number of chairs needed more ;

Take the square root of 5100 ;the round to the next whole number :

B.) For number of chairs to be removed ;

Take the square root of 5100 and round down to the whole number.

Hence,

A.) = √5100 = 71.414 = 72

72² - 5100 = 84

B.) 5100 = 71.414 = 71

5100 - 71² =

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Answer:

  x = 9

Step-by-step explanation:

Vertical angles are congruent, so ...

  ∠B = ∠A

  4x -17 = 3x -8

  x = 9 . . . . . . . . . . . add 17-3x to both sides

x = 9

Step-by-step explanation:

In the question we have given that ∠A and angle∠B are vertical angles. And the value of angle ∠A = ( 3 x - 8 ) and angle ∠B = ( 4 x - 17 ).

∠B = ∠A. (Both are vertical angle so, both are equal to each other).

Substitute the values

4 x - 17 = 3 x - 8

Add 17 - 3 x to each side

4 x - 17 + 17 - 3 x = 3 x - 8 + 17 - 3 x

combine like terms

4 x + 0 - 3 x = 3 x - 3 x - 8 + 17

x = 0 + 9

x = 9

Answer:  50 degrees

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Explanation:

There's a lot of filler and visual distraction going on here. We only need to focus on the points H, C and E. Also, we need to focus on the circle as well. The other stuff is stuff we can ignore.

We're told that angle HCE is 50 degrees. This is a central angle that subtends, or cuts off, arc HE. By definition of arc measures, arc HE is also 50 degrees.

There's not much else to this problem to be honest.

Answer:

Slope = 1

Y-intercept = 4

equation = 1x + 4

Hope this helps!

Answer:

286 mm ^2

Step-by-step explanation:

The figure is a trapezoid

The area of a trapezoid is given by

A = 1/2 ( b1+b2) *h where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 28+24) * 11

A = 1/2 (52)*11

A =286 mm ^2

Answer:

The area of this figure is 286

Step-by-step explanation:

The formula for the area of a trapezoid is A = (a+b/2)h, or the top line plus the bottom line divided by 2 times the height. a is given as 24 mm and b is given as 28 mm so 24 plus 28 is 52. 52 divided by 2 is 26. 26 times 11 is 286 therefore the answer and area is 286.

Answer:

c. 216 m squared

do 6×6 to find the missing area then do 12×21 to fine whole area then subtract 252 and 36. hope this helps

Answer:

y -2 = 3(x-4)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y -2 = 3(x-4)

Answer:

the answer is d trust me 0.22

Step-by-step explanation:

v = u + at

=> 35 = u + (4×5)

=> 35 = u + 20

=> 35 - 20 = u

=> 15 = u

Step-by-step explanation:

v = u + a t

35=u+ 4(5)

35-20=u

u=15

Answer:

El 5 y el 3

Step-by-step explanation:

La primera y la segunda saldrá un negativo ya que hay un negativo y con eso nunca saldrá positivo.

La tercera es 0, no es positivo ni negativo

La cuarta y quinta es positivo

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Answer:

  x = {-0.6, 1.8}

Step-by-step explanation:

Adding 33 we have ...

  4x^2 -5x = 4

Dividing by 4, we get ...

  x^2 -5/4x = 1

We can complete the square by adding the square of half the x-coefficient:

  x^2 -5/4x +25/64 = 89/64

  (x -5/8)^2 = 89/64

  x = (5 ±√89)/8 = {-0.5542, 1.8042}

The solution rounded to the nearest tenth is ...

  x = {-0.6, 1.8}

Answer:

62

Step-by-step explanation:

In one minute Anna called 2 people

the next minute the 2 people each called 2 people making it 4 so I'll draw something like a branch chain to calculate so it will look like the fig above

I'm not too sure but I tried my best.

Answer:

D

Step-by-step explanation:

Have a nice day :)

Answer:

the first question is x=68/3 in standard from it is 3x=68

the second question is x= - 11/10

Step-by-step explanation:

for the second question the negative is beside the fraction.

Answer:

x = 29/6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

8x - (2x - 13) = 42

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see 42 does indeed equal 42.

∴ x = 29/6 is the solution.

Answer:

x = 29/6

Step-by-step explanation:

solve for x.

8x - ( 2x - 13 ) = 42

distribute minus sign

8x - 2x + 13 = 42

combine like terms

6x + 13 = 42

subtract 13 from both sides

6x + 13 - 13 = 42 - 13

6x = 29

Divide each side by 6

6x / 6 = 29 / 6

x = 29 / 6

Check the equation :

8x - ( 2x - 13 ) = 42

substitute the value of x in equation

8 ( 29/6) - ( 2(29/6) - 13) = 42

reduce the number with the greatest common factor 2

4 × 29 /3 - ( (29/3) - 13) = 42

calculate the product

116/3 - ( 29/3 - 13 )= 42

calculate the difference

116/3 -( -10/3 )= 42

change the sign

116/3 + 10/3 = 42

add the fractions to get 42.

42 = 42

Hence, verified.

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Explanation:

We have n = 6 sides, so the interior angles must add to 180(n-2) = 180(6-2) = 720 degrees

Lets add up the angles, set the sum equal to 720 and solve for x

x+2x+115+2x+115+2x = 720

7x+230 = 720

7x = 720-230

7x = 490

x = 490/7

x = 70

This makes angle 2x = 2*70 = 140 degrees

We see that x = 70 is the smallest angle, so that's why C is the answer.

Answer:

t = 9.5 seconds

Step-by-step explanation:

Given that,

The initial velocity of the projectile is 304 ft/s

The height of the projectile is given by :

[tex]H=16t^2 + 304t[/tex]

For maximum height,

Put h' = 0

[tex]h'=-32t+304[/tex]

or

[tex]-32t+304=0\\\\t=\dfrac{304}{32}\\\\t=9.5 \ s[/tex]

So, the time taken to reach the maximum height is 9.5 seconds.

Answer:100 degrees

Step-by-step explanation: Multiply 50 by two by in inscribed angle therom.

ABC is 100

The central angle that creates the intercepted arc's central angle, or the arc measure, is expressed in degrees. Arc length can be estimated as a percentage of the circle's circumference by multiplying the circle's diameter by the arc length, divided by 360.

θ = arc* 2

θ = 50*2 = 100

To learn more about arcs refer to:

https://brainly.com/question/1597355

#SPJ2

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Answer:

  6.7

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.

  x^2 = 6^2 +3^2 = 45

  x = √45 ≈ 6.7

The missing side length is about 6.7 units.

Answer:

Step-by-step explanation:

hope it helps

Answer:

1 torr = 760 atm

1 torr = 1 mmHg

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Answer:

  55°

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary.

  m∠GDE = 180° -m∠FGD = 180° -125°

  m∠GDE = 55°

Answer:

-8

Step-by-step explanation:

1) Total sum of all angles on a traingle is 180.

2) 65+40=105

3)180-105=75

4) -8+83=75

Answer:

x=-8 degree

Step-by-step explanation:

65 + 40 + x + 83 = 180 degree (sum of interior angles of a triangle)

188 + x = 180

x= 180 - 188

x=-8 degree

Answer: 12+6x

Step-by-step explanation:

three more means addition +3

the product of 6 and a number means multiplying 6 by a variable 6x

increased by 9 means addition +9

put it together and we have 3+6x+9

now we combine like terms

3+9+6x

12+6x

Answer:

25 days

Step-by-step explanation:

6.50 x 8 = 52

52 ÷ 5 = 10.4

10.4 × 4 = 41.6

1040 ÷ 41.6 = 25

Answer:

the picture can't clean. so I can't solve the problem

Answer:

I will go with (C)

Step-by-step explanation:

So the interior angle of a 9 -sided polygon is 140 °. We can see that x and one interior angle lie on the same side of a straight line, so their sum must be 180 °. So x = 180 ° − 140 °, or x = 40 °. The correct answer is 40 °.                                Hope this helps!

Answer: The radius of the hemisphere is (R) = 28 cm