Convert 324ten to base two

we have: ∠A + ∠B = 90°

<=> (2x-14) + (3x-6) = 90° <=> 2x - 14 + 3x - 6 = 90°

<=> 5x + 20 = 90°

<=> 5x = 70°

<=> x = 14°

So: ∠A = 2x - 14 = 2.14 - 14 = 14°

Ok done. Thank to me :>

Answer:

Lateral : 103.67 in²

Total : 864 in²

Step-by-step explanation: there you go

Answer: 12.69 miles or less

Step-by-step explanation:

$10 - $1.75 = $8.25

$8.25/$0.65 = 12.69

Answer:

984/616 is equal to 123/77 because it is simplified, also meaning reduced by finding the GCF (greatest common factor), which in this case is 8. So therefore, when you divide the numerator of 984 by 8, you get 123, and when you divide the denominator of 616 by 8 as well, you will get 77.

Answer:

5:1

Step-by-step explanation:

Step-by-step explanation:

just think it through. it can only be the first option. the sides 7 and 4 are together 11, and they can only meet, when putting them flat on the 11 side. but yes, if you do that, they will meet, as 11 = 11.

the result would be an extreme triangle : appearing just as one, flat line (length 11), the angles being 180°, 0° and 0°.

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is A.

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

Sides 7 and 4 are together 11, and they can only meet when they are flat on the side with a length of 11 units. However, if you do this, they will meet touch overlap on each other since 11 units = 11 units.

This will result in an extreme triangle which will more of look more like a straight line and will have angles of measure as 180°, 0°, and 0°.

Learn more about the Triangle Inequality Theorem:

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#SPJ5

(i) Given number = 8.02×10^-5

⇛ 8.02/100000

⇛ (802/100)/100000

⇛ 802/10000000

⇛ 0.0000802

The usual form of 8.02×10^-5 is 0.0000802

(ii) Given number = 4.5×10³

⇛4.5×1000

⇛ (45/10)×1000

⇛ 45×100

⇛ 4500

The usual form of 4.5×10³ is 4500

(iii) Given number = 7×10^-5

⇛ 7/100000

⇛ 0.00007

The usual form of 7×10^-5 is 0.00007

(iv) Given number = 1.0001×10⁸

⇛ 1.0001×100000000

⇛ (10001/10000)×100000000

⇛ 10001×10000

⇛100010000

The usual form of 1.0001×10⁸ is 100010000

(v) Given number = 4.3×10¹²

⇛ 4.3×1000000000000

⇛ (43/10)×1000000000000

⇛ 43×100000000000

⇛ 4300000000000

The usual form of 4.3×10¹² is 4300000000000

(vi) Given number = 3.61492×10⁵

⇛ 3.61492×100000

⇛ (361492/100000)×100000

⇛ 361492

The usual form of 3.61492×10⁵ is 361492

Answer:

8/20

Step-by-step explanation:

the 8s may be the same, but because the denominator 20 is smaller than 24, 8 takes up more of it. another way to check is that 8/24 as a decimal is .33 repeating, but 8/20 as a decimal is 0.4.

0.4 is more than .33 repeating. reaffirming that 8/20 is bigger

Answer:

3.2t - 2.4

Step-by-step explanation:

Let a and b = the numbers we must find.

a + 2b = 5.....Equation A

2a + b = 13.......Equation B

We have a system of equations in two variables.

I will solve A for little a.

a + 2b = 5

a = 5 - 2b

Now I will plug 5 - 2b for a in B.

2(5 - 2b) + b = 13

10 - 4b + b = 13

-3b = 3

b = -1

To find a, replace b with -1 in EITHER A or B.

I will use Equation A.

a + 2b = 5

a + 2(-1) = 5

a - 2 = 5

a = 7

The two numbers are -1 and 7.

Understand?

Answer:

w= [tex]\frac{y+1}{2+a}[/tex]

Step-by-step explanation:

y-aw=2w-1

y+1=2w+aw

y+1=w(2+a)

[tex]\frac{y+1}{2+a}[/tex]=w

Answer:

16. 5/2

Step-by-step explanation:

Rise/run

2- (-3)=5

-2- (-4)=2

rise/run= 5/2 (Five over two)

A. Angle 3 is a vertical angle to angle 2 which means they are the same.

Angle 3 = 76 degrees

B. Angle 6 is also the same as angle 2.

Angle 6 = 76 degrees

C. Angle 8 + angle 6 form a straight line which equals 180 degrees

Angle 8 = 180 - 76 = 104 degrees

Answer:

76° , 76° , 104°

Step-by-step explanation:

(a)

∠ 2 and ∠  3 are vertically opposite angles and are congruent , then

∠ 3 = 76°

(b)

∠ 6 and ∠ 3 are alternate angles and are congruent , then

∠ 6 = 76°

(c)

∠ 6 and ∠ 8 are adjacent angles on a straight line and sum to 180° , then

∠ 8 = 180° - 76° = 104°

Answer:

No solution

Step-by-step explanation:

How should I kow how much he drove? I need at least one distance. Either your fooling me, or the person who gave you this question is. There is no solution.

Answer:

  -4/243

Step-by-step explanation:

Your calculator can do this.

You know that 3³ = 27 and (-3)³ = -27. You also know that 3² = 9, and that anything to the zero power is 1. With these facts, you can simplify the expression to ...

  [tex]\dfrac{\sqrt[3]{-27}-27^0}{3^3\times3^2}=\dfrac{-3-1}{27\times9}=\boxed{-\dfrac{4}{243}}[/tex]

Answer: 1. it doesnt since the velocity is so high, it will land in the water.

2. the ball goes about 500 feet in the air.

3. the ball reaches its max height when it starts to go down

4. the ball is at 250 since it takes 8.6 seconds for it to reach 500 feet

Step-by-step explanation:

Step-by-step explanation:

15 = 6 + 2(n-3) + 3n

or, 15 = 6 + 2n - 6 + 3n

or, 15 = 6 - 6 + 2n + 3n

or, 15 = 0 + 5n

or, 15 = 5n

or, 15/5 = n

or, 3 = n

;- n = 3.....

I Hope that this will Help you...!!!

Based on the types of compounding and the interest rates, the following are true:

When using simple interest, the amount the group will have is:

= Amount x ( 1 + rate x number of years )

= 600 x ( 1 + 5% x 5)

= $750

When using compound interest, the group will have:

= Amount x ( 1 + rate) ^ Number of years

= 600 x ( 1 + 4%)⁶

= $759.19

In conclusion, compound interest yields more.

Find out more about compound interest at https://brainly.com/question/25263325.

Answer:

2664.3

Step-by-step explanation:

Hope this helps!

Y = 18.50

Please tell me if it is right XD <3

Answer: 1.90

Step-by-step explanation:

9/4.72= 1.90

Answer:

1.90

Step-by-step explanation:

9/4.72= 1.90

Answer:

2.50

Step-by-step explanation:

2.50 might be the answer

Answer:

4 inches.

Step-by-step explanation:

The height of a rectangle is reduced by Shawna to a size of 2 inches.

The original width of the rectangle was 24 inches and the height was 12 inches.

If the ratio of width to height remains the same, then we can find the new width.

If the new width is x inches then, we can write

[tex]\frac{x}{2} = \frac{24}{12}[/tex]

⇒ x = 4 inches. (Answer)

Answer:

the new width is 14

Step-by-step explanation:

original height 12

12-2= 10 (the amount that was taken away to get the new height)

24- 10= 14 ( the new width)

The remainder of the equation is [tex]\rm 28x+30[/tex].

Given that,

When the equation [tex]\rm 3x^3-2x^2+4x-3[/tex] is divided by [tex]\rm x^2+3x+3[/tex].

We have to find,

The remainder of the equation?

According to the question,

The equation [tex]\rm 3x^3-2x^2+4x-3[/tex] is divided by [tex]\rm x^2+3x+3[/tex].

On the division of the polynomial, the remainder is,

[tex]\dfrac{\rm 3x^3-2x^2+4x-3}{\rm x^2+3x+3}[/tex]

Factorize the equation to convert this into the simplest form,

[tex]\rm 3x^3-2x^2+4x-3\\\\3x^3-11x^2+9x^2+9x+28x-33x-33+30\\\\Taking \ the \ common \ terms \ and \ simplify\ the\ equation\\\\3x^3+9x^2+9x+11x^2+33x-33+28x+30\\\\3x(x^2+3x+3) - 11(x^2+3x+3) + 28x+30\\\\(3x+11) (x^2+3x+3) +28x +30[/tex]

Now, the equation can be written as,

[tex]\rm = \dfrac{(3x+11) (x^2+3x+3) +28x +30}{ x^2+3x+3}\\\\= \dfrac{(3x+11) (x^2+3x+3) }{ x^2+3x+3} + \dfrac{28x +30}{ x^2+3x+3}\\\\= (3x+11) + \dfrac{28x +30}{ x^2+3x+3}\\\\[/tex]

The relation between the divisor, remainder, and quotient is,

[tex]\rm = Quotient + \dfrac{Remainder}{Divisor}[/tex]

On comparing with the equation,

The remainder becomes 28x +30.

Hence, The required remainder of the equation is [tex]\rm 28x+30[/tex].

For more details refer to the link given below.

https://brainly.com/question/25880057

Answer: ≥ without the line on the bottom.

Step-by-step explanation:

I am assuming the expression you are talking about are

[tex]3w^{2} +1[/tex] and [tex]10w+8[/tex].

If we were to replace w with 4 and calculate, we will find the answer:

[tex]3*4^{2} +1=3*16+1=48+1=49[/tex]

[tex]10*4+8=40+8=48[/tex]

Since the first expression, [tex]3w^{2} +1[/tex], is bigger than the second expression, the correct symbol to use is ≥ without the line on the bottom.

51/x - 5i

this is the answerrrr

Answer:

2(quotient of x) + 2..............

The perimeter of the rectangle IJKL is 16units.

Since we are not given a diagram, we can assume the diagram is a rectangle IJKL with the following parameters:

Length = 3 units

Width = 5 units

The formula for finding the perimeter of a rectangle is expressed as:

Substitute the given values to have:

P = 2(3 + 5)

P = 2(8)

P = 16 units

Hence the perimeter of the rectangle IJKL is 16units.

Note that this formula is applicable to any rectangle given.

Learn about perimeter of shapes here: https://brainly.com/question/303508