In the diagram shown, the area of the triangle is 44.3m². If b = 14.1m and the angle at C = 48°, work out x. Round to 1 DP. X C b​

Answer:

here is answer try this type

Answer:

6.4

Step-by-step explanation:

It's stated that the shapes are similar.

We can use similarity ratio to find the value of x:

LM/CD = KL/BA

x/4 = (11.2)/7 cross multiply expressions

7x = 44.8 divide both sides by 7

x = 6.4

value of a = 3

value of b = 2

a + b = 3 + 2 = 5 .

Answer:

In a Euclidean space of any number of dimensions, a plane is uniquely determined by any of the following: Three non-collinear points (points not on a single line). A line and a point not on that line. Two distinct but intersecting lines.

Step-by-step explanation:

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Answer:

25 percent chance or 13/52 for drawing a diamond and 4/52 for a queen

Step-by-step explanation:

There are 13 diamonds in a stack of 52 cards, hence 13/52 or 25 percent chance of drawing a diamond.

Since there are only 4 queens in a stack of 52 cards, so 4 out of 52 cards are queens

Step-by-step explanation:

[tex] - \frac{3}{4} x + 2 \frac{1}{4 } = \frac{1}{2} x + 1[/tex]

[tex] - \frac{3}{4} x + \frac{9}{4} = \frac{1}{2} x + \frac{2}{2} [/tex]

[tex] \frac{ - 3x + 9}{4} = \frac{2x + 4}{4} [/tex]

[tex] - 3x + 9 = 2x + 4[/tex]

[tex] - 3x - 2x = 4 - 9[/tex]

[tex] - 5x = - 5[/tex]

[tex]x = \frac{ - 5}{ - 5} [/tex]

[tex]x = 1[/tex]

The answer is C.

The statement; Approximately 120 families turned on their televisions for less than 37 hours is true.

From the task content, since the 10% percentile of the data corresponds to 24 families, it.follws that the total number of families sampled is; 24 × 10 = 240 families.

On this note, after the first 120 data points, the median is determined to be 33.2 hours which is less than the mean. Conclusively, it follows that approximately 120 families turned on their televisions for less than 37 hours.

Hence, the statement is true.

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Answer:

The value of [tex]x_{2}[/tex] from inverse variation is (-35).

Step-by-step explanation:

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases. While direct variation describes a linear relationship between two variables, inverse variation describes another kind of relationship.

An inverse variation can be represented by the equation

xy=k .

That is y varies inversely as x if there is some nonzero constant k.

Here, the product is given by :

x1y1=x2y2

21 x (-15)=x2 x 9

(-315) / 9 = x2

x2=(-35)

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The Scientific notation of given numbers are  [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

The given numbers are 3400, 0.000023, 4.50, 1,000,000 and 0.00671.

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

Now, [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

Therefore, the Scientific notation of given numbers are  [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

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Step-by-step explanation:

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Answer:

33 eggs

Step-by-step explanation:

1 Dozen = 12 units

2 dozen = 2*12 = 24 units

3/4 dozen = 12*3/4 = 36/4 = 9 units

2 3/4 = 2 + 3/4 = 24 + 9 = 33 units

The line that passes through (-2, 1) and (8, 2) is:

y = (1/10)*x + 12/10

I assume you want to find the equation of the line that passes through (-2, 1) and (8, 2).

A general linear equation is written as:

y = a*x + b

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this case, we know that it passes through (-2, 1) and (8, 2), then:

[tex]a = \frac{2 - 1}{8 - (-2)} = 1/10[/tex]

Then the line is:

y = (1/10)*x + b

To find the value of b, we use one of the given points, for example if we use (8, 2), it means that when x = 8, we must have y = 2.

2 = (1/10)*8 + b

2 - 8/10  = b

20/10 - 8/10 = b

12/10 = b

Then the linear equation is:

y = (1/10)*x + 12/10

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Answer:

the answer is b.40 that the kids that are working and have phone b

Answer:

Step-by-step explanation:

Answer:

Answer:

-¾

Step-by-step explanation:

gradient = delta y over delta x

gradient = 0 - 3 / 5 - 1

gradient = -3 / 4

OC represents vector a and b drawn using the head-to-tail method.

A vector is an object that has both magnitude and direction.

The given vectors are

a =<5, −1> and b =<2,−2>

Representing vector a +b using the head and tail method

Here in the image attached with the answer ,

The vector a is represented by OA and the vector b is represented by OB

By head and tail method , the OC is drawn by extending the vector a towards b and b towards a

Vector OC = Vector OA + Vector OB

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To find the highest common factor (HCF) between two numbers , first to take HCF of both the numbers.

[tex] \purple {\Large\begin{array}{r | l}2&\underline{12}\\3& \underline{6}\\2&\underline{2}\\&\underline{1}\\\end{array}} \: \: \: \: \: \: \: \: \: \: \: \: \purple {\Large\begin{array}{r | l}2&\underline{40}\\2& \underline{20}\\5&\underline{10}\\2&\underline{2} \ \\ &\underline{1}\\\end{array}}[/tex]

[tex] \red {\large \implies} \large \: 12 \: = \: 2 \: \times \: 3 \: \times \: 2 \: \: \: \: \: \: \: \: \: \: \\ \\ \red {\large \implies} \large \:40 \: = \: 2 \: \times \: 2 \: \times \: 5 \: \times \: 2 \: [/tex]

[tex] \rm\orange {\large \implies} \large \:Common \: factors \: = \: 2 \: \times \: 2[/tex]

[tex]\rm\orange {\large \implies} \large \:HCF = 4[/tex]

Answer:

A. 3/4

Step-by-step explanation:

1. Square both sides:
5x + 3 = 9x
2. Subtract 5x from both sides:
3 = 4x
3. Divide 4 from both sides:
3/4 = x
Answer: A

Answer:

3/4

Step-by-step explanation:

it's correct

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.888.. (1) ← multiply both sides by 10

10x = 8.888.. (2)

subtract (1) from (2) thus eliminating the repeating digits

9x = 8 ( divide both sides by 9 )

x = [tex]\frac{8}{9}[/tex]

Answer:

in a rectangle, opposite sides are equal in length

Step-by-step explanation:

now in this question, Pythagoras theorem is being used to find the length

we know both sides by using Pythagoras theorem find third side and get the sum to find ac+bd

Step-by-step explanation:

So it tells you that AB = 21 and AD = 28
and you to find what BD + AC is and since BD is the same length as AC
you only need to find one of them, then double it
There is a formula you use called the Pythagorean theorem
The Pythagorean theorem is A²+B²=C²  
In this problem A = 21    B = 28  and C = the length of BD
so it'll look like  21²+28²=Length of BD²  or BD²=21²+28²  now you find BD
first do 21²+28² --> 441+784 --> 1225   Now you know that 21²+28²=1225
so BD²=1225  Then to find BD, you find √1225(square root of 1225)
Which is 35     So BD=35 and you want to know what BD+AC is
so 35+35=70        

Answer:

1

Step-by-step explanation:

The value of the output given by the inverse for a given input is the same as the input of the original function that results in the output equal to the given input.

So, 2x + 2 = 4, meaning the answer is 1

Answer:

xhdvuvzxvzvkkzv jzh jhj,

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

let me know if you want an explanation :))

Answer:

534

Step-by-step explanation:

The solution is in the image

Answer:

7(2a+6) = 4

and the answer is:

19/7

Step-by-step explanation:

7(2a+6) = 4

7*2a + 7*6 = 4

14a + 42 = 4

14a = 4 - 42

14a = -38

a = -38/14

a = -19/7

The options that are true of the triangles include:

The complete question is given below:-

ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.

The process of changing the location of the image on the coordinate system will be known as the translation.

It should be noted that triangle XYZ is reflected over a vertical line. Then, it's dilated by 1/2 to form XYZ.

This implies that the triangles are similar, the angles are congruent and the side length of XYZ is twice that of X'Z.

Therefore the options that are true of the triangles include:

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Answer:

7

Step-by-step explanation:

9 plues 12 = 21

21 divide by 3

= 7

Answer:

7

Step-by-step explanation:

9 + 12 = 21

one third of 21 is the same as 21 divided by 3

so 21 divided by 3

= 7

so 7 is the answer

OR

9 divided by 3 = 3

12 divided by 3 = 4

3 + 4 = 7

By applying concepts related to matrices and their dimensions, the element of the matrix that belongs to the 2nd row and 3rd column is 6.

Matrices are constructions studied by linear algebra, are a particular case of tensors. This kind of constructions are characterized by two dimensions: (i) Number of rows - Horizontal rows, (ii) Number of columns - Vertical rows.

Each element of an matrix A has an associated index with the following form:

[tex]a_{i,j}[/tex]

Whose meaning is "element of the matrix A that belongs to the i-th row and j-th column".

In this case, we find that the element of the matrix that belongs to the 2nd row and 3rd column is 6.

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Answer:

The slope is undefined

Step-by-step explanation:

[tex]m=\frac{9-3}{2-2}[/tex]

The denominator leads to 0 so it would not be possible to find the answer

Answer:

undefined

Step-by-step explanation:

anything divided by zero is undefined since you cant logically give (for example) 2 apples to 0 people.

For slopes not so obvious, the formula is (slope)m= (rise)y/(run)x