Anyone mind helping me solve this inequality? Step by step

Anyone Mind Helping Me Solve This Inequality? Step By Step

Answers

Answer 1

By decomposing the figure in simpler shapes, we will see that the total area is:

a = 180 cm²

How to find the area of the composite figure?

Remember that the area of a rectangle of width W and length L is:

A = L*W

And the area of a triangle with base B and height H is:

A = B*H/2.

Then, the upper part can be seen as a rectangle of length of 6cm and width of 6 cm, with two triangles on the sides, such that each triangle has a base of 3cm and a height of 6cm.

So the area of that part is:

A = 6cm*6cm + 2*(3cm*6cm/2) = 54cm²

Now, the bottom triangle has a base of 12 cm, and a height of:

15cm - 6cm = 9cm

Then its area is:

A' = 12cm*9cm/2 = 54cm²

This means that the total area of the figure is:

total area = 54cm² + 54cm² = 108cm²

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Related Questions

How many lines of symmetry does this figure have?
1
2
4
3

Answers

The number of lines of symmetry for the given figure will be 4.

What is symmetry?

Symmetry is described in geometry as a balanced and proportionate likeness between two halves of an object.

As we know that similarity is defined as when the image is divided into two halves and one portion is completely overlapped by the other.

So in the given figure, the figure can be divided into two halves by drawing four lines along with the arrows and along with the corners. In all cases, the two halves overlap with the other.

Therefore the number of lines of symmetry for the given figure will be 4.

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the diagram is not drawn to scale!!
pls​

Answers

Answer:

135°

Step-by-step explanation:

That triangle in the corner is an right angle isosceles triangle as that line the midpoint of both sides :

the base angle of this triangle (x) will be :

180 = 90 + 2x

90 = 2x

x= 45

Angles on a straight line add up to 180. So to work out a :

180 = 45 + a

135 = a

Hope this helped and brainliest please

These tables represent a quadratic function with a vertex at (6, 8). Which is the average rate of change for the interval from x = 13 to x = 14?

Answers

The average rate of a function is 81 if a quadratic function with a vertex at (6, 8).

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Quadratic function with a vertex at (6, 8).

It is required to find the average rate of the function:

Here the data table is not given, so we are assuming the value of a function:

At x = 13 is 196

f(13) = 144

At x = 14 is 225

f(14) = 225

The average rate of a function:

= [f(14) - f(13)]/(14 - 13)

= [225 - 144]/(1)

= 81

Thus, the average rate of a function is 81 if a quadratic function with a vertex at (6, 8).

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An elevator began in the 9th floor. It went down 7 floors. Then, it went up 4 floors. On which floor did it stop?

Answers

The answer is floor number 6

Answer: Hope this helps you!

6th floor

Step-by-step explanation:

If it starts on the 9th floor and goes down 7 floors that is:

9 (9 floors) + -7 (down 7 floors)

which is also equal to 9-7

9-7 = 2

Next, we need to go up by 4 floors starting with 2, 2+4

2+4 = 6

Brainliest?

Given that the measure of ∠x is 66°, and the measure of ∠y is 66°, find the measure of ∠z

Answers

Answer:

48

Step-by-step explanation:

66*2=132

180-132=48

Hope this helps!

If not, I am sorry.

how do we solve this I need a quick answer please :)

Answers

Sorry don't no the answer

sorry if I kwon the answer

I telling u the answer

Answer: D ; 1,230

Explanation: Key word, boundary. Meaning its perimeter of the field. Find the perimeter then multiply by 3. inches

13 - r < 82




PLA I NEED THIS

Answers

Answer:

r > -69

Step-by-step explanation:

13 - r < 82

subtract 13 from both sides

13 - r - 13 < 82 - 13

- r < 69

to flip the inequality sign, multiply both side by -1 to make r positive:

- r (-1) < 69 (-1)

r > -69

        [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

    13-r<82

      [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

   First of all, we need to isolate r (get r by itself). What I Mean by that is

       We need to get r by itself on one side of the inequality.

      So it should look something like this:-

     r<___

So r is all by itself.

How will we get r by itself? Well, First of all, we need to subtract 13 on both sides:-

[tex]\longmapsto\bf{-r < 82-13[/tex]

Simplifying,

[tex]\longmapsto\bf{-r < 69}[/tex]

Now, is r by itself? Nopes, There's also a minus sign next to it , which indicates that r is multiplied by -1.

So we do the opposite operation and divide both sides by -1:-

(watch what happens)

[tex]\longmapsto\bf{r > -69}[/tex]

The inequality sign changed from "less than" to "greater than".

This happened because we divided by a negative number on both sides.

Good luck with your studies. [tex]\ddot\smile[/tex]

#TogetherWeGoFar

[tex]\rule{300}{1}[/tex]

7x + 2y = −12
3x + 4y = −24

Answers

Answer:

x= 0 , y= 6

Step-by-step explanation:

multiplying 1st equation by 2 and subracting equation 2nd from 1st

14x + 4y = -24

- ( 3x + 4y) = - (-24)

11x = 0

so, x=0

keep x=0 in equation 2nd

3*0 + 4y = -24

y = -24 / 4

so , y = 6

Y’all pls help I’m gunna cry

Answers

Median = 59
First Quartile = 57
Third Quartile = 62

Need help with the question

Answers

Answer:

y = 3

Step-by-step explanation:

given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = 57 when x = 19 , then

57 = 19k ( divide both sides by 19 )

3 = k

y = 3x ← equation of variation

when x = 1 , then

y = 3 × 1 = 3

In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.4, with a standard deviation of 2.3.
(a) What response represents the 86th percentile? (Round to two decimal places as needed).
​(b) What response represents the 55th ​percentile? (Round to two decimal places as needed).
​(c) What response represents the first ​quartile? (Round to two decimal places as needed).

Answers

The response that represents the 86th percentile is 7.884

The response that represents the 55th percentile is 5.69

The response that represents the first percentile 3.85

How to solve for the 86th percentile

mean = 5.4

sd = 2.3

p(X>x) = 0.86

find the value of z using the NORMSINV function in excel with a probability of 0.86

z = 1.080

x = mean + sd*z

= 5.4 + 2.3 * 1.080

= 7.88

How  to solve for the 55th percentile

mean = 5.4

sd = 2.3

p(X>x) = 0.55

find the value of z using the NORMSINV function in excel with a probability of 0.55

z = 0.1257

x = mean + sd*z

= 5.4 + 2.3 * 0.1257

= 5.69

c. The first quartile is 25%

z = -0.6745

5.4 + 2.3 * -0.6745

= 5.4-1.551

= 3.85

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what types of angles are in these quadrilaterals iready level d

Answers

Based on the quadrilaterals given, the types of angles that we see are Acute and Obtuse.

Which angles are shown in these quadrilaterals?

Acute angles are those that are less than 90° and these are shown in the trapezium quadrilateral.

Obtuse angles are higher than 90° and so are drawn outwards as seen in the parallelogram.

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Which of the expressions are equivalent to the one below? (5x1)-7

Answers

Answer:

-2

Step-by-step explanation:

[tex](5 \times 1) - 7 \\ 5 - 7 \\ - 2[/tex]

A brand of cereal had 1.2 milligrams of iron per serving. Then they changed their recipe so they had 1.8 mg of iron per serving.

Answers

Using it's concept, it is found that the percent increase in the amount of iron per serving was of 50%.

What is the percentage increase of a value?

It is given by the increase divided by the initial value, and subtracted by 100%.

In this problem:

The initial value is of 1.2 mg.The increase was of 1.8 mg - 1.2 mg = 0.6 mg.

Hence the percent increase is given by:

P = 0.6/1.2 x 100% = 50%.

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Marcella bought a 300 pack of candied chocolates. she randomly picked out 30 candies. the results
were 8 green, 11 blue, 6 yellow, and 5 brown. how many of each color do you think is in the bag

Answers

Answer:

there are 75 colors of each candy

Step-by-step explanation:

300÷4=75

PLS HELP NEED THIS ASAP

Answers

The probability that the dog that's selected will weigh less than 30 pounds will be 55%.

How to calculate probability?

From the information given, it was stated that 45% of the dogs weigh more than 30 pounds. Therefore, the probability that the dog that's selected will weigh less than 30 pounds will be:

= 1 - 45%

= 55%

The probability that it weighs more than 30 pound given that it has long fur will be 27%.

The events are independent since the occurence of one doesn't affect the other one.

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how do u turn decimals into fractions

Answers

Answer:

place the decimal number over its place value

Step-by-step explanation:

For example in 0.4 the four is in the tenths place, so we place 4 over 10 like 4/10

Answer:

Step-by-step explanation:

Decimal to fraction: Write the decimal number with denominator 1Now , multiply the numerator and the denominator by 10 for every number after the decimal point.Simplify

Example:

   4.52

[tex]4.52 =\dfrac{4.52}{1}[/tex]

In 4.52, there are two decimal places. So multiply the numerator and denominator by 100

[tex]\dfrac{4.52*100}{1*100}=\dfrac{452}{100}=\dfrac{452 \div 4}{100 \div 4}=\dfrac{113}{25}[/tex]

Solve the system of equations.​

Answers

Answer:

The answer is the third bullet. (number 3)

The top four teams in a local tournament move onto the playoffs. if 7 teams enter the tournament how many different
combination of teams can make it to the playoffs?

Answers

Using the combination formula, it is found that 35 different combination of teams can make it to the playoffs.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 4 students are taken from a set of 7, hence the number of combinations is given by:

[tex]C_{7,4} = \frac{7!}{4!3!} = 35[/tex]

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2. Draw a diagram to show that 5(x + 2) = 5x + 10.

Answers

Step-by-step explanation:

5(x+2)
1. Distributive property
2. Multiply
(5*x) + (5*2)
(5x)+(10)
Remove parenthesis

5x+10 ;

Therefore, 5(x+2) = 5x+10

Hopefully this helps! :3

What method can be used?

Answers

Answer:

'''

Step-by-step explanation:

Describe how you would simplify the given expression.

(20x^5y^2/5x^-3y^7)^-3

Answers

Answer:

hope you can understand

Question
What expression represents the area of the square?

Answers

(3x-2)^2

squares area is 2 times its side length, since all the sides are the same. if the side length is 3x-2, take its second power

(3x-2)^2 or (3x-2)

The area of a square is the product of the length of each side with itself. That is, Area A = s x s where s is the length of each side of the square.

Which of the following best describes /JKL?
32°
L
K

Answers

The best statement that describes the angle JKL is inscribed angle.

What is an inscribed angle?

An inscribed angle in a circle is formed by two chords that have a common end point on the circle. The chord JK and LK intersect in the circle.

The angle ∠JKL is not an obtuse angle because it's less than 90 degrees.

The angle ∠JKL is not a vertical angle because it's not vertically opposite  any angle.

The angle ∠JKL is not a central angle because it was not from from the centre of the circle.

The angle is an inscribed angle because it was formed by the intersection of two chords in the circle.

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The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.
The width of the page is ___ inches.

Answers

.✎let's answer it :3

question

The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.

The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.The width of the page is ___ inches.

answer 1.24 inches

hope it helps

correct me if I am wrong

by #galadohannadivine29

!!!!! determine the function being differentiated, and the number at which its derivative is being evaluated. Where possible, evaluate the limits using differentiation.

Answers

Recall that the derivative of a function f(x) at a point x = c is given by

[tex]\displaystyle f'(c) = \lim_{x\to c} \frac{f(x) - f(c)}{x - c}[/tex]

By substituting h = x - c, we have the equivalent expression

[tex]\displaystyle f'(c) = \lim_{h\to0} \frac{f(c+h) - f(c)}h[/tex]

since if x approaches c, then h = x - c approaches c - c = 0.

The two given limits strongly resemble what we have here, so it's just a matter of identifying the f(x) and c.

For the first limit,

[tex]\displaystyle \lim_{h\to0} \frac{\sin\left(\frac\pi3 + h\right) - \frac{\sqrt3}2}h[/tex]

recall that sin(π/3) = √3/2. Then c = π/3 and f(x) = sin(x), and the limit is equal to the derivative of sin(x) at x = π/3. We have

[tex](\sin(x))' = \cos(x)[/tex]

and cos(π/3) = 1/2.

For the second limit,

[tex]\displaystyle \lim_{a\to0} \frac{e^{2a} - 1}a[/tex]

we observe that e²ˣ = 1 if x = 0. So this limit is the derivative of e²ˣ at x = 0. We have

[tex]\left(e^{2x}\right)' = e^{2x} (2x)' = 2e^{2x}[/tex]

and 2e⁰ = 2.

i need help with the area only for 7 8 and 9

Answers

We will get the areas of each one of the given triangles:

7) A = 12.69 mm²

8) A = 19.21 in²

9) A = 16.81 yd²

How to get the area of the given triangles?

7) First, we have an equilateral triangle, where all the sides measure 5.4mm

For an equilateral triangle of side length S, the area is:

[tex]A = \frac{\sqrt{3} }{4}S^2[/tex]

In this case, S = 5.4 mm, replacing we get:

[tex]A = \frac{\sqrt{3} }{4}(5.4mm)^2 = 12.62 mm^2[/tex]

8) Now we have two equal sides and one different. The general area of a triangle of base B and height H is:

A = B*H/2.

In this case, the base measures 3.4 in.

To get the height, let's divide the triangle into two right triangles, such that one cathetus is 3.4in/2 = 1.7 in.

The hypotenuse measures 5.9 in

And the other cathetus is the height of the triangle.

Then, by using the Pythagorean theorem, we see that the height is:

[tex]H = \sqrt{(5.9 in)^2 - (1.7in)^2} = 5.65 in[/tex]

Then the area of this triangle is:

[tex]A = (3.4 in)*(5.65 in)/2 = 19.21 in^2[/tex]

9) Here the base measures 8.2 yds, and the height 4.1 yds, so the area is just:

[tex]A = (4.1 yd)*(8.2 yd)/2 = 16.81 yd^2[/tex]

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-8x - 5y = 12
8x - y = 12

Answers

It’s the same thing A equals -12+5y/8. B equals 12+5y/8. It’s the same thing except for the negative one the answer is negative and for the positive one the answer is positive

Factorize the following perfectly:
1) 9x^4-16y^439
2) 64x^4+y^4

Answers

Answer:

neither can be factored any further but if it is (9x^4) - (16y^4) it can be factored down to ((3x^2)+(4y^2)) ((3x^2)+(4y^2))

Step-by-step explanation:

1. The area of a rectangular carpet is X² + X - 2. HINT: Area = length X breadth

a). if X is a whole number, use factorization to find the length and the breadth of the carpet in terms of X.

b). if X = 2 m, find the actual dimensions of the carpet.

c). it costs R50 per square metre to make such this carpet. how much will it cost to manufacture 5 carpets?​​​

Answers

Answer:

a) Length= (x+2) and breadth=(x-1) b) 4 m^2 c) R1000

Answer:

answers in photo / +explanation

Step-by-step explanation:

a)

length: x+2

width/breadth: x-1

b)

length: 4m

width/breadth: 1m

area: 4m²

c)

R1000

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