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Hence, [tex]x=13cm[/tex].

What is the triangle?

A triangle is a two-dimensional shape, in Euclidean geometry, which is seen as three non-collinear points in a unique plane.

Here given that,

Perpendicular is [tex]12cm[/tex]

Base is [tex]5cm[/tex]

Hypotenuse is [tex]x[/tex]

As we know,

[tex]H^2=B^2+P^2[/tex]      ........[tex](1)[/tex]

Now substitue these values in equation [tex](1)[/tex], we get

[tex]H^2=(5)^2+(12)^2\\\\x^2=25+144\\\\x^2=169\\\\x=\sqrt{169}\\\\x=13cm[/tex]

Hence, [tex]x=13cm[/tex].

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The line given by the equation y = 2x + 3/2 have a slope (m) of 2 and y-intercept (b) of 3/2

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation of a line is:

y = mx + b; where m is the slope and b is the y-intercept

The line given by the equation y = 2x + 3/2 have a slope (m) of 2 and y-intercept (b) of 3/2

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Answer:

option A is the effect on the graph

Answer:

14.6°, 165.4°

Step-by-step explanation:

We can say that x is the supplementary angle and x + 150.8 is the other angle

Supplementary angles add up to 180°

x + x + 150.8 = 180

2x = 29.2

x = 14.6 | we found one of the angles

x + 150.8 = 165.4 | find the other angle

Both h ≥ –5 and h < 2 represent the area more than or equal to negative 5 and less than 2.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality equation is given below.

h ≥ –5 and h < 2

Then h ≥ –5 represents the area more than or equal to negative 5.

And h < 2 represents the area less than 2.

Then both h ≥ –5 and h < 2 represent the area more than or equal to negative 5 and less than 2.

The graph is given below.

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Answer:

THe Answer is A

Step-by-step explanation:

Answer:

34.00

Step-by-step explanation:

because get the discounted price, subtract the discount from the original price. To illustrate this principle, here is an example: to take 1/3 off $36.00, divide 36 by 3 and multiply by 1. This becomes 36/3 x 1 to equal 12, which represents a discount of $12.00

Answer:

x = 110

Step-by-step explanation:

measure of abd is 35, meaning adb is also 35.

so dab + abd + adb is 180

=> x + 35 + 35 = 180

=> x + 70 = 180

=> x = 180-70

=> x = 110

110 degrees is the value of x.  

Answer:

500 km

Step-by-step explanation:

300 plus 200 is 500km this is how far it is

The distance between City A & City C is approximately 171.3km

Given that, city A is 300 km due east of city B.

City C is 200 km on a bearing of 123° from city B.

We need to find the distance between the cities A and C,

Here we will use the concept of Cosine rule,

{Refer to the figure attached}

From ∆ABC, to find |AC|,

The cosine rule will be used.

|AC|² = |BC|² + |AB|² - 2(|BC|)(|AB|)cosB

Let |AC| = x

x² = 200² + 300² - 2(200)(300)cos33

x² = 40000 + 90000 - 120000cos33

x² = 130000-100644

x² = 29356

x = √29356

x = 171.3359

x ≈ 171.3km

Therefore, the distance between City A & City C is approximately 171.3km

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An expression is defined as a set of numbers, variables, and mathematical operations. The value of x in the given expression 32⁽⁵⁻³ˣ⁾ = 2⁻¹⁰ˣ is 5.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of x in the given expression 32⁽⁵⁻³ˣ⁾ = 2⁻¹⁰x can be found,

[tex]32^{(5-3x)}=2^{-10x}\\\\2^{5(5-3x)}=2^{-10x}\\\\5(5-3x)=-10x\\\\25-15x=-10x\\\\25=-10x+15x\\\\25=5x\\\\x=5[/tex]

Hence, the value of x in the given expression 32⁽⁵⁻³ˣ⁾ = 2⁻¹⁰ˣ is 5.

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Answer:

3.65102725271

Step-by-step explanation:

Answer:

[tex]0.33[/tex]

Step-by-step explanation:

There are 6 sides on dice, therefore the sample space would be 6 (the sample space is the denominator). We were asked to find the probability of getting a 1 or a 6. Since we were given 2 options 1 or 6, it therefore means that we are trying to find the probability of the dice rolling on 2 out of the 6 sides it has. Therefore the probability would be:

[tex] \frac{2}{6} \: or \: \frac{1}{3} [/tex]

A third as a decimal is

[tex]0.33[/tex]

Answer:

First option is the correct answer

[tex] A(\triangle ABC) =572\: yd^2[/tex]

Step-by-step explanation:

Answer:

$10,700.

Step-by-step explanation:

Answer: 60.5 in

Step-by-step explanation:

Area of rectangle = length times width

Length = 5.5 in

Width = 11 in

11 x 5.5 = 60.5

The area of the rectangle is 60.5 in

Answer:

see attachment (this needs to be at least 20 characters long)

Answer: ( −∞ , ∞)

Step-by-step explanation: Any value of x makes the equation true.

All real numbers

original equation

[tex]2(x+1)=2x+2[/tex]

distribute

[tex]2x+2=2x+2[/tex]

solve

[tex]2=2\\\\0=0[/tex]

the answer is 0.

Answer:

14x15-10x10=110

A=110

Step-by-step explanation:

Answer:

First, we'll need to find the length of each side.

10m + 4m = 14m

10m + 5m = 15m

Now that we know the length of 2 sides, let's call them the "North" and "West". The measure or length of "South" is the same as "North" and the measure or length of "East" is the same as "West".

To find the Area of the WHOLE square, we'll need to multiply both lengths.

14 × 15 = 210m^2

To find the area of the given figure:

1. Find the Area of the 10m of the "North" and the 10m of the "West".

10 × 10 = 100m^2

2. Minus the Area of the product of 10m of the "North" and the 10m of the "West" from the Area of the WHOLE square.

210m^2 - 100m^2 = 110m^2

The area of the given figure is 110m^2.

Hope it helps you! ^^

Step-by-step explanation:

Based on the given conditions,

Formulate:(100-80)÷80

Calculate the sum or difference:20/80

Cross out the common factor:1/4

Multiply a number to both the numerator and the denominator:1/4×25/25

Write as a single fraction :25/4×25

Calculate the product or quotient :25/100

Rewrite a fraction with denominator equals 100 to a percentage:25%

Answer : 25%

The linear equation with a slope of 1 that passes through (3, 5) is:

y = x + 2.

The general linear equation is given by:

y = a*x + b

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

Here we know that the slope is 1, so we have:

y = x + b

And we also know that the line passes through (3, 5), then we must have that:

5 = 3 + b

We can solve that for b:

b = 5 - 3 = 2

So the linear equation is:

y = x + 2.

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Step-by-step explanation:

by using the formula of principal

p= I×100/T×R

Answer:

90

Step-by-step explanation:

PRT/100

75×30×2/100

9000/100

=90

Answer:

x = 35

Step-by-step explanation:

Complementary angles refers to a pair of angles which add up to make a 90° right angle.

Lets assume them as Angle A And Angle B.

Angles A = 40°

Angles B = x+15

Angle A + Angle B = 90°

40+15+x = 90°

x = 90 - 55

x = 35°

So, x = 35°

Answer:

7 hours and 50 minutes.

Answer: (6,-2)

Step-by-step explanation:

[tex]M'=(4+2, 3-5)=\boxed{(6,-2)}[/tex]

The probability of selecting a biography or a mystery is 0.8

We assume that all the books have the same probability of being randomly selected.

The probability of getting a particular type of book is given by the quotient between the number of these books and the total number of books.

Here we want to find the probability of selecting a biography or a mystery, there are 9 mysteries and 7 biographies, and a total of 20 books in the shelf, so the probability is:

P = (7 + 9)/20 = 16/20 = 4/5 =0.8

The probability is 0.8

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Answer:

  (5, 2)

Step-by-step explanation:

The question is asking you to express the temperature at 5 pm as a pair of graph coordinates.

Doing this requires that you ...

__

The description of the graph tells you the horizontal scale is hours after noon, so the temperature at 2 pm will be a point on the graph with an x-coordinate of 2. That point is (2, 7), indicating the temperature at 2 pm is 7 °C.

Likewise, the temperature at 8 pm is shown as the point on the graph with x-coordinate 8. That point is (8, -3), indicating a temperature of -3°C at 8 pm.

The temperature halfway between those values (7 °C and -3 °C) can be found several ways. Perhaps the easiest is to average the values:

  (7 +(-3))/2 = 4/2 = 2

The temperature at 5 pm is 2 °C.

Coordinates on the graph are ordered pairs of the form (x, y) = (hours, °C). The time 5 pm is 5 hours after noon, so the x-coordinate is 5. The temperature at 5 pm is halfway between the temperatures at 2 and 8 pm, which we have computed to be 2 °C, so the y-coordinate is 2.

The coordinates that represent the temperature at 5 pm are ...

  (5, 2)

Answer:

the binomial coefficient