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Answer:

∴[tex]Cos A=\frac{AC}{AB}[/tex]

➛ [tex]Cos30=\frac{x}{12\sqrt{3} }[/tex]

➛ [tex]\frac{\sqrt{3} }{2} =\frac{x}{12\sqrt{3} }[/tex]

➛[tex]x=12\sqrt{3}*\frac{\sqrt{3} }{2}[/tex]

➛ [tex]x=18[/tex] ✓

➛[tex]AC=18[/tex] ✓

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Answer:

1. a = 68°

  b = 112°

  c = 68°

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2. a = 127°

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3. a = 35°

   b = 40°

   c = 35°

   d = 70°

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4. a = 20°

   b = 70°

   c = 20°

   d = 70°

   e = 110°

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5. a = 90°

   b = 90°

   c = 42°

   d = 48°

   e = 132°

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6. a = 70°

   b = 55°

   c = 25°

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Step-by-step explanation:

Answer:

80 Ft²

Step-by-step explanation:

Area= length x width

length= 10 feet

width= 8 feet

A= 10 × 8

A= 80 Ft²

squared because it's feet multiplied by feet

Ft × Ft= Ft²

Answer:

y_2 is 8 units

Step-by-step explanation:

Given that

The distance between the point is 13 units

x_1 is 5

y_1 is 3

x_2 is -7

We need to find out the y_2

So, the following formula should be used

[tex]d = \sqrt({x_2 - x_1})^2 + (y_2 - y_1)^2\\\\13 = \sqrt({-7-5})^2 + (y_2 - 3)^2\\\\169 = 144 + (y_2)^2 + (-3)^2 - 2(y_2) (-3)\\\\25 = (y_2)^2 + 9 - 6y_2\\\\16 = (y_2)^2 -6y_2\\\\(y_2)^2 -6y_2 - 16 = 0\\\\(y_2)^2 - 8y_2 + 2y_2 - 16 = 0\\\\y_2 (y_2 - 8) + 2(y_2 - 8) = 0\\\\y_2 = 8[/tex]

hence, y_2 is 8 units

Answer:

Convert in to cm and km to cm:

1cm=0.4in

5cm

Exactly one cm is 3.39 .. in so answer will come around 1.96 which is almost 2

#2

1cm=0.00001km

5cm

Answer:

Step-by-step explanation:

area of rectangle=l*b

=8*15

=120 cm^2

area of rectangle=l*b

96=16*b

96/16=b

6=b

Answer: [tex]\angle 6[/tex]

Step-by-step explanation:

Assuming TURS is a rectangle, [tex]\angle 5 \cong \angle 6[/tex] by the alternate interior angles theorem.

Answer:

c is the answer

Step-by-step explanation:

Answer:

d. Subtract x from both sides.

Answer:

x = -48

Step-by-step explanation:

-4(7.5x - 8) = -5(6.3x + 8)

-30x + 32 = -31.5x - 40

-30x + 31.5x = -40 - 32

1.5x = -72

x = -72/(1.5)

x = -48

Answer:

Step-by-step explanation:

Given the expression

b|3a – 81 – 3/2 – 2a

If a = -4, b = 1/2

Substitute

(1/2)/3(-4) - 81 - 3/2 - 2(-4)

1/2 * 1/-12 - 81 - 3/2 + 8

= -1/24 - 81 + 8 - 3/2

= -1/24 - 3/2 - 73

= -1-36-1,752/24

= -1,789/24

= -74.5

Answer: The 2nd graph

Step-by-step explanation:

Using the vertical line test, all other 3 graphs have two points that meet on the same lines. This immediately rules all other 3 graphs out as a graph cannot have two points with the same x-axis.

Answer:

I think A is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

12x - 29 + 4x + 1 = 180

Step-by-step explanation:

(12x - 29) and (4x + 1) are same- side interior angles and sum to 180° , then

12x - 29 + 4x + 1 = 180 ← is the equation to solve for x

16x - 28 = 180 ( add 28 to both sides )

16x = 208 ( divide both sides by 16 )

x = 13

Answer:

yes

Step-by-step explanation:

6x-3x-3x=-2+2

you put all same numbers in the same side

that makes 0 on both sides

Step-by-step explanation:

if b+c=0

b=-c

x^b=x^-c

so

1/[2(x^b)+1]

Answer:

Step-by-step explanation:

-32/15/-4/5

-32/15*5/-4

-32*5/15*-4

-160/-60

8/3

Answer:

x=-6

y=-2(-6)-7

y=5

x=-3

y=-2(-3)-7

y=6-7=-1

y=-1

x=0

y=-2(0)-7

y=-7

x=3

y=-2(3)-7

y=-6-7=-13

x=6

y=-2(6)-7

y=-12-7

y=-19

A functional rule is the relationship between an input or domain and an output or scope.

The given function is as follows:

x: -6, -3, 0, 3, 6

y: 5, -1, -7, -13, -19

A functional rule is the relationship between an input or domain and an output or scope. A relation is a function only if it has a value within each domain value. Functions are written like where is the input value. The general form of the function is:

A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable). Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships.

Let the given function be y = -2x - 7.

Where, x = -6

substitute the values in the above equation, we get

⇒ y = -2(-6) - 7

⇒ y = 5

Let the value of x = -3

substitute the values in the above equation, we get

⇒ y = -2(-3) - 7

⇒ y = -1

Put, x = 0

substitute the values in the above equation, we get

⇒ y = -2(0) - 7

⇒ y = -7

Put, x = 3

substitute the values in the above equation, we get

⇒ y = -2(3) - 7

⇒ y = -6 - 7 = -13

Put, x = 6

substitute the values in the above equation, we get

⇒ y = -2(6) - 7

⇒ y = -19

The given function is as follows:

x: -6, -3, 0, 3, 6

y: 5, -1, -7, -13, -19

To learn more about Functions, refer to:

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Answer:

−11b^2+8b−4

Step-by-step explanation:

−4b2+6b−9−7b2+2b+5

Simplify by adding terms.

11b2+8b−4

Given:

The expression is:

[tex]\log_5(36)-\log_5(9)[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\log_5(36)-\log_5(9)[/tex]

It can be written as:

[tex]\log_5(36)-\log_5(9)=\log_5\dfrac{36}{9}[/tex]              [tex][\because \log_m\dfrac{a}{b}=\log_ma-\log_m b][/tex]

[tex]\log_5(36)-\log_5(9)=\log_54[/tex]

Therefore, the simplified form of the given expression is [tex]\log_54[/tex].

Answer:

54061 in³

Step-by-step explanation:

Using proportion

Perimeter of smaller pyramid/ Perimeter of Larger pyramid = volume of smaller pyramid/ volume of Larger pyramid

30/36 = x/64873

Cross Mulitiply

36 × x = 64873 × 30

x = 64873 × 30/36

x = 54060.833333 in³

Approximately = 54061 in³

Therefore, the volume of the smaller pyramid is 54061 in³

By using the relative frequency, we can expect to not roll a "6" in 11 rolls.

We know that in a total of 72 rolls, the outcome is "6" 21 times.

Then the relative frequency is:

F = 21/72 = 0.292

Then we can expect that in N rolls, we will get (0.292)*N times a "6".

So the number of times that we will not get a 6, is:

(1 - 0.292)*N

In this case is N = 15, then we get:

(1 - 0.292)*15 = 10.62

Rounding to the next whole number we get 11, this means that we can expect to not roll a "6" in 11 rolls.

If you want to learn more about relative frequency:

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( x - 4 )^2 + ( y + 7 )^2 = 53

...................................................

Answer:

290951. 87

Step-by-step explanation:

you keep what's before the decimal point the same and round what's after it.

The value of each digit in a number is known as the place value. When the number 290951.867863 is Rounded to the nearest hundred the number becomes 291,000.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

In any number, the number rounded off to the nearest hundred is when the number is rounded off to its second value before the decimal. Therefore, the given number can be rounded off to the nearest hundred as,

290951.867863 ≈ 291,000

This is because after the hundred place value the digits at the tens and the unit place are 5 and 1, therefore, the number 951, will be rounded off to 1,000.

Hence, when the number 290951.867863 is Rounded to the nearest hundred the number becomes 291,000.

Learn more about the Place Value here:

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Answer:

5m

Step-by-step explanation:

9x5=45 and he wants 45 sq meters

Answer:

boi its 202 -1

Step-by-step explanation:

eiroiwzjsirgjzßπkgjπøˆß

Answer:

- 12

Step-by-step explanation:

The sea level serves as a reference point and may be used to describe objacetsvir positions above or below it. Therefore, the sea level is regarded as a zero point or level. Hence, objects below are describes to be at a negative distance while those above are assigned the positive sign. Hence, for a position which is 12 km below sea level, then the object is said to be at a distance of - 12 km (below sea level takes the negative sign.)