Find the area of the shaded figure.
OF
80 mm 120 mm
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The y-intercept is (0, C/B).

Given:

Then,

Therefore, the y-intercept is (0, C/B).

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The measure of ∠EBD from the given figure is 26°.

Given that, m∠ABD=104°, BC bisects ∠ABD, and BE bisects ∠CBD.

An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.

Since BC bisects ∠ABD, we get ∠ABC=∠CBD

So, ∠ABD=∠ABC+∠CBD

⇒2∠CBD=104°

⇒∠CBD=52°

Here, BE bisects ∠CBD, we get ∠CBE=∠EBD

So, ∠CBD=∠CBE+∠EBD

⇒2∠EBD=52°

⇒∠EBD=26°

Therefore, the measure of ∠EBD from the given figure is 26°.

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The primary flaw is that the sample will slightly overestimate the physical fitness of the people of the town.

The given  hypothesis are,

[tex]H_0:p=0.35\\H_1:p < 0.35[/tex]

Type II error is accepted in null hypothesis when it is not actually true.

In the given question null hypothesis p= 0.35

The conclusion is that in the given sample proportion is  not equal to 0.35, though we know that proportion is not equal to 0.35 we accept the null hypothesis, that is wrong.

Now given n=185,x=77 P=0.53 then Q=1-0.35=0.65

[tex]H_0:P=0.35\\H_1:P < 0.35[/tex]

Now test statistic [tex]Z=\frac{p-P}{\sqrt{\frac{PQ}{n}}}[/tex]

Solving for Z using the given values we get :

Z=1.99

Now 1.99>-1.65

So we accept [tex]H_0[/tex]

The primary flaw in the system is that the sample is not randomly selected rather they are volunteers. So it is reasonable to think that the physical fitness of the town will be slightly over estimated by the experiment.

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Answer: -2.0, -1.02, 0.25, 1.98

Step-by-step explanation:

Remember that negative numbers always go last. The bigger the negative number is, the smaller its quantity is. So -2.0 is less than -1.02. Then we have the positive numbers: 0.25, and 1.98. 0.25 is less than 1.98 because 1.98 has a whole number and 0.25 doesn't have a whole. Hope this helps :)

Answer:

1. DNE

2. DNE

3. (-2, inf)

4. (-3,-2)

Step-by-step explanation:

Answer: 1.5 Burgers an hour

1/8 x 12 = 1.5

Multiply 1/8 by 12 to get and hour because 12/12ths = 1 hour

Answer

1.2 + 0.68 should have equaled 0.80

Step-by-step explanation:

jason solved this problem by changing 6/4 to 1.2. He then added 1.2 to 0.68 and got 1.88.

This answer is incorrect. What did he do wrong?

If Jason solved this problem by changing 6/4 to 1.2, The wrong thing he did is ; 6/4 should have been changed to 1.5. Option C is correct

To find the correct answer, let's first evaluate the expression step by step:

1. 6/4 is equal to 1.5, not 1.2.

2. 1.5 + 0.68 equals 2.18, this is not 1.88.

So, the correct answer is: Jason made a mistake in the first step. He changed 6/4 to 1.2, but it should have been 1.5.

Therefore, the correct calculation is 1.5 + 0.68 = 2.18.

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The value modulus functions of x are found as 12 and -3.

A modulus function returns the magnitude of a number regardless of its sign.

The modulus function's value is always non-negative. Whenever f(x) is a modulus function, we get:

for the given function;

m(x) = |2x - 9|, where m(x) = 15.

then,

15 = |2x - 9|

Open the modulus function in its corresponding positive and negative values;

15 = 2x -9 and also 15 = -(2x - 9).

Solving both;

15 = 2x -9

2x = 15 + 9

2x = 24

x = 12

and, the second functions;

15 = -(2x - 9)

15 = -2x + 9

-2x = 15 - 9

x = -3

Thus, the solution for x are 12 and -3.

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The correct question is-

Given m(x) = |2x - 9|, find x when m(x) = 15.

Answer:

Step-by-step explanation:

When completing the square, an expression like,

ax2 + bx + c is written in the form (Ax + B)2 + C.

We will begin with the simple example where a = 1. In this case we will write expressions in the form

x2 + bx + c as (x + B)2 + C

If we expand (x + B)2 + C we get x2 + 2Bx + B2 + C.

Comparing this with x2 + bx + c shows that

b = 2B and c = B2 + C

which gives B =

b

2

and C = c – B2

The events A and B are not independent.

Given that,

                  P(A|B) = 0.4

                  P(A) = 0.5

                  P(B) = 0.8

Two events A and B are said to be independent, if P(A∩B) = P(A) P(B)

We have, P(A|B) = P(A∩B)/P(B)

Therefore, P(A∩B) = P(A|B) P(B) = 0.4 x 0.8 = 0.32

Now P(A) P(B) = 0.5 x 0.8 = 0.4

So P(A∩B) ≠ P(A)P(B)

Therefore, the events A and B are not independent.

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Answer:

[tex]x=29[/tex]

Step-by-step explanation:

These two angles add up to 180 degrees. We can make an equation saying that [tex](2x+6)+4x=180[/tex]. Simplifying, we get [tex]6x+6=180\\[/tex].

Now when we subtract 6 from both sides we get [tex]6x=174[/tex]. Then we divide both sides by 6 to get our final answer: [tex]x=29[/tex]

Hope this helps!

Answer:

[tex]-5.5 = \frac{-11}{2}[/tex]

[tex]-4.8 = \frac{-24}{5}[/tex]

Step-by-step explanation:

Postać ułamka zwykłego oznacza postać [tex]\frac{licznik}{mianownik}[/tex].

Zaczynamy od zauważenia, że [tex]-5.5 = -55/10 = -\frac{55}{10} = -\frac{11}{2} = \frac{-11}{2}[/tex]

-4.8 robimy analogicznie, tylko skracamy przez 2 a nie przez 5.

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The average rate of change over the entire slide is 0.01 per unit.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,

Introduction to Slope of a Line | The slope of line is the measure of steepness or the direction of line the coordinate plane.

m = Δy/Δx

where, m is the slope

Note that tan θ = Δy/Δx

We also refer this tan θ to be the slope of the line

Given,

the height of the slide = 2 feet

the value of x is 20 units

The average rate of change is the slope of the line

Therefore, the rate of change over the entire slide will be,

Rate of change = 2/20 = 0.1 feet per unit

Hence, the rate of change is 0.1 feet per unit.

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Cash paid to the suppliers is 35,56,530$

Given here, The Amount of raw material purchased by company is 35,71,723$.

Firstly, we calculate decrease in Accounts payable = 115492$ - 110685$

= 4807$.

Now, cash paid to the suppliers is calculated by,

Cash paid to the suppliers= Purchases of raw material + Decrease in Account payable.

= 35,71,723$ + 4807$

= 35,56,530$

Thus, the cash paid to the suppliers is 35,56,530$.

The amount of Accounts Payable on a company's balance sheet is significant. If AP rises over the previous period, it indicates that the business is using credit rather than cash to purchase more goods and services. A company's accounts payable (AP) will decline if it is paying its commitments from the prior period more quickly than it is acquiring new things on credit.

Management of accounts payable is essential for controlling a company's cash flow. The top component of the cash flow statement, the cash flow from operational activities, shows the net change in AP from the prior period when the indirect method is used to create the cash flow statement.

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Answer:  z = 2

Step-by-step explanation:

2.4z+1.2z-6.5=0.7

3.6z-6.5=0.7

3.6z=0.7+6.5

3.6z= 7.2

z=7.2/3.6

z=2

Answer: 166

We’ll give it your best mate keep it up

The Slope of the line passing through the points (-2,1) and (2,-1) is -1/2 .

The Slope(m) of the line is defined as the change in y coordinate with respect to change in x coordinate ,

The Slope(m) of line passing through the points A(a,b) and B(c,d) is calculated using the formula

m = (d-b)/(c-a)

In the question

it is given that the line passes through the points (-2,1) and (2,-1) .

name the points as A(-2,1) and B(2,-1) .

the values are a=-2  ,  b=1  ,  c=2  ,  d=-1 .

Substituting the values in the formula of Slope we get

m = (-1-1)/(2-(-2))

= -2/(2 + 2)

= -2/4

= -1/2

Therefore , the slope of the line passing through the points (-2,1) and (2,-1)  is -1/2 .

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Answer:

Step-by-step explanation:

The Slope of the line passing through the points (-2,1) and (2,-1) is -1/2 .

The height of the frame is 1 m and the width is 1.5 meters.

The height and width are the two dimensions that are used to measure the perimeter of a rectangular frame.

The perimeter is defined as the sum of all sides of a polygon. For a rectangle it is equal to twice the sum of height and width.

Perimeter(p)=2×[height(h)+width(w)]

The given dimensions of the frame is that the height is [tex]\frac{2}{3}[/tex] the width.

Let us consider the width be x.

Hence height=[tex]\frac{2}{3} x[/tex]

Now perimeter =

[tex]2\times(x+\frac{2}{3}x) \\=\frac{10}{3} x[/tex]

But the given perimeter is 5 meter.

Therefore:

[tex]\frac{10}{3} x=5\\or,x=5\times 3\div 10\\or,x=1.5[/tex]

Therefore the width is 1.5 meters.

Height=[tex]\frac{2}{3} \times 1.5\\[/tex]=1 meter.

So we can conclude that the width is 1.5 meters and the height is 1 meter.

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Answer:

$65

Step-by-step explanation:

The original price was x.

x was increased by 20%, so the new price is

x + 20% of x = x + 0.2x = 1.2x

The new price is 1.2x

The new price is $78

1.2x = 78

x = 78/1.2

x = 65

Answer: $65

The area and perimeter of the rectangle are 80 cm and 375 cm² respectively.

The rectangle is 15 cm wide.

The width is 3 / 5 of its length

Therefore, the area and the perimeter of the rectangle can be found as follows:

area of a rectangle = lw

where

Therefore,

w = 15 cm

15 = 3 / 5 × l

cross multiply

75 = 3l

l  =75 / 3

l = 25 cm

Therefore,

area of the rectangle = 25 × 15 = 375 cm²

Perimeter of the rectangle = 2l + 2w

Perimeter of the rectangle = 2(l + w)

Perimeter of the rectangle = 2(25 + 15)

Perimeter of the rectangle = 2(40)

Perimeter of the rectangle = 80 cm

Therefore, the area and perimeter of the rectangle are 80 cm and 375 cm² respectively.

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[tex]\boldsymbol{\sf{(x-6)^{2}-5=0 }}[/tex]

[tex]\boldsymbol{\sf{x-6=\pm\sqrt{5} }}[/tex]

[tex]\boldsymbol{\sf{x-6=\sqrt{5} }}[/tex]

[tex]\boldsymbol{ \sf{x=\sqrt{5}+6 }}[/tex]

[tex]\boldsymbol{\sf{x-6=-\sqrt{5} }}[/tex]

[tex]\boldsymbol{\sf{x=-\sqrt{5}+6 }}[/tex]

[tex]\boldsymbol{\sf{x=\sqrt{5}+6,-\sqrt{5}+6 }}[/tex]

    [tex]\huge \red{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ \ x=\pm\sqrt{5}+6 }}}}[/tex]

z + 16.2 ≤ 30

z ≤ 13.8

Using proportions, it is found that Charlotte should ask for $62.5 in the budget to spend on thread.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Each uniform needs 50 buttons, and there are 100 uniforms, hence the number of buttons needed is:

50 x 100 = 5000.

Each button requires of a yard of thread, hence the number of yards needed is:

5000 x 1 = 5000 yards.

A 400-yard spool of thread is sold for $5, hence the budget needed is:

(5000/400) x 5 = $62.5.

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The 715 cm² area of the disc and the ±5 cm² error tolerance, gives;

a) x = √(715/π) cm

b) The range for the radius is; [√(710/π) cm, √(720/π) cm]

c)

f(x) = π•x²

L = 715 cm²

E = 5 cm

d = √(5/π) cm

Area of the circular metal disk = 715 cm²

a) Required; The disk radius

Let A represent the area of the disk and let x represent the radius, we have;

A = π•x²

Therefore;

x = √(A/π)

Which gives;

x = √(715/π) cm

b) Allowed area error tolerance = ± 5 cm²

The allowed range of values for the area is therefore;

Which gives;

√(710/π) ≤ x ≤ √(720/π)

c) From the [tex] \epsilon / \delta [/tex] definition of limits, we have;

[tex] \lim\limits_{x → √(715/π)} f(x) = 715 [/tex]

Which gives;

f(x) = A = π•x²

L = 715

|f(x) - L| < E = 5 cm

|x - √(715/π)| < d = √(5/π)

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Answer:

-13.6

Step-by-step explanation:

Use the keep change change method when subtracting negative number. So, it would look like this: -6.4 + -7.2 = -13.6.

After adding them, just add a negative sign in front of your answer since you're adding two negative numbers.

Let me know if you don't understand or need more explanation.

Answer:

Domain: [-4,2]

Range: [-3,3]

Step-by-step explanation:

A = -4

B = 2

C = -3

D = 3

Answer:

138.2

Step-by-step explanation:

Celsius to Farenheit

(59/5)*9=106.2

106.2+32=138.2 farenheit