The figure above shows that the shaded triangular region with a hypotenuse of 5 cm has been removed from a rectangular tile with dimensions x cm by y cm. Of the following which best approximates the area in square cm of the tile before the piece was removed

The Figure Above Shows That The Shaded Triangular Region With A Hypotenuse Of 5 Cm Has Been Removed From

Answers

Answer 1

Check the picture below.

Mind you that we have four 30-60-90 triangles.

The Figure Above Shows That The Shaded Triangular Region With A Hypotenuse Of 5 Cm Has Been Removed From
Answer 2

The area of given rectangle before the piece was removed is 65 cm² approximately.

What is area of rectangle?

The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'. So, Area of Rectangle = (a × b) square units.

In Δ DEF,

∠EDF + ∠DEF + ∠DFE = 180° (angle sum property)

30° + 90° + ∠DFE = 180°

∠DFE = 60°

[tex]cos F = \frac{EF}{FD}(\frac{base}{hypotenuse}\\ \\ cos(60) = \frac{5}{FD}\\ \\FD = 5 * 2= 10[/tex]

[tex]cos D = \frac{ED}{FD}(\frac{base}{hypotenuse}\\ \\ cos(30) = \frac{ED}{10}\\ \\ED = \frac{\sqrt{3} }{2} * 10= 5\sqrt{3}[/tex]

In Δ AED,

∠AED + ∠EAD + ∠EDA = 180° ( angle sum property)

∠AED + 90° + 30°= 180°

∠AED = 60°

[tex]sinE = \frac{AD}{DE} (\frac{perpendicular}{hypotenuse}\\ \\sin(60) = \frac{AD}{5\sqrt{3} } \\\\AD= \frac{\sqrt{3} }{2}*5\sqrt{3} \\\\AD = 7.5[/tex]

In Δ DFC,

∠FDC + ∠DCF + ∠DFC = 180° (angle sum property)

30° + 90° + ∠DFC = 180°

∠DFC = 60°

[tex]sinF = \frac{DC}{DF} \\\\sin(60) = \frac{DC}{10}\\ \\\frac{\sqrt{3} }{2} *10 = DC\\\\DC = 5\sqrt{3}[/tex]

Area of rectangle = length * breadth = xy = AD * DC = [tex]7.5 * 5\sqrt{3} = 64.95[/tex]

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The Figure Above Shows That The Shaded Triangular Region With A Hypotenuse Of 5 Cm Has Been Removed From

Related Questions

(16x 10 15) - (7 10 15) simplified​

Answers

Answer:  7.5 = 75/10 which can be simplified to 15/27.5 = 75/10 which can be simplified to 15/27.5 = 75/10 which can be simplified to 15/27.5 = 75/10 which can be simplified to 15/2

Step-by-step explanation:

Consider the following graph of g(x). Write a formula for g(x) that describes the transformations performed on the basic function.

Answers

The resulting equation of the given graph will be -|x+1|

Transformation of graph

The parent function of the given graph function is given as:

f(x) = |x|

The given graph shows a reflection over the x-axis and a horizontal translation by 1 unit to the left

Reflection = -|x|

Horizontal shift = -|x+1|

The resulting equation of the given graph will be -|x+1|

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A bowl has a radius of 3 inches. What is the circumference of the bowl?

A) 3 inches
B) 28.26 inches
C) 9.42 inches
D) 18.84 inches

Answers

Answer:

18.84 inches

Step-by-step explanation:

The circumference of a circle is found by

C = 2 * pi *r  where r is the radius

C = 2 * pi * 3

C = 6 pi

Approximating pi by 3.14

C =6*3.14

C =18.84 inches

Answer:

18.84 in

Step-by-step explanation:

[tex]Solution,\\\\Radius(r)=3in\\\\Now,\\\\Circumference=2\pi r\\\\Circumference=2*\pi *3in\\\\Circumference=18.84in[/tex]

3 9 90 and 4 2 20 and 5 7 ?

Answers

Answer:

3 9 90 =3²+9²=90

4 2 20 =4²+2²=20

5 7 =5²+7²=74

The missing term in the series is 74.

What are Numbers?

The mathematical way to display the quantity involved is called Numbers.

The given figure shows a sequence being followed for the third number.

The third number below the triangle is the sum of squares of the two numbers above the triangle.

3² + 9²  = 90

4² +2²  = 20

5² +7² =25+49 = 74

Therefore, the missing term in the series is 74.

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A quarter-circle is drawn onto one of the shorter sides of a rectangle. The shorter side of the rectangle measures 4 centimeters. The
area of the figure is 33.4 square centimeters.
What is the length of the longer side of the rectangle?
Use 3.14 for 71
Enter your answer as decimal in the box.

Answers

Answer:

5.21 i took the test

Length of longer side of the rectangle in which a quarter circle is drawn onto the shorter side is 5.12 cm

What is area of a geometric shape?

The area of a two dimensional shape is the space enclosed by the boundary of the shape. The area of a rectangle is the product of its length and breadth, the area of a circle is π×(radius)².

Given that, the shorter side of a rectangle is 4cm.

Let the length of the longer side of the rectangle is x.

Then, the area of rectangle is 4x

Also, the sum of area of rectangle and a quarter circle is 33.4cm²

And the radius of quarter circle = shorter side of rectangle

Therefore, area of quarter circle = (1/4)×π(4)²

According to question,

    4x + (1/4)π(4)² = 33.4

     4x + 4π = 33.4

     4x = 33.4 - 4×3.14

     4x=20.84

       x=5.21

Hence, the longer side of rectangle is 5.21 cm when the shorter side is 4cm and a quarter circle is drawn onto the shorter side of the rectangle.

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Agency leadership is very interested in trend analysis. Using the 750 randomly selected vehicles as their​ sample, data was collected to determine which vehicles currently meet or exceed fuel economy standards and which vehicles currently do not meet fuel economy standards. This information is found in the Meet or Not Meet Current Standards column. Agency leadership asks your team to construct a​ 95% One-Sample proportion confidence interval for the population proportion of all vehicles that meet current fuel economy standards. Assume that all necessary Central Limit Theorem conditions for a​ One-Proportion confidence interval have been met. What is the​ 95% lower​ limit?

Answers

Using the z-distribution, as we are working with a proportion, considering that the estimate is of 90%, the 95% lower​ limit is of 0.8785.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have that:

There is a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex]. We suppose an estimate of [tex]\pi = 0.9[/tex].The sample size is of n = 750.

Hence, the lower bound of the interval will be given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.9 - 1.96\sqrt{\frac{0.9(0.1)}{750}} = 0.8785[/tex]

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What is square root of 100?

Answers

Answer:

10

Step-by-step explanation:

i just thought of 10 * 10 = 100 because that is how square root works!

please mark brainliest if this helped

10!
10 x 10 = 100. therefore the square root of 100 is 10

Which expressions are equivalent to 4d+6+2d

(Choice A) 2(3d+3)
(Choice B) 6(d+6)
(Choice C) (3d+3)+(3d+3)

Answers

Answer:

(Choice A) 2(3d+3) & (Choice C) (3d+3)+(3d+3)

Step-by-step explanation:

[tex]4D + 6 + 2D = 6D + 6 = 2(3D + 3)[/tex] <--- A is correct

[tex]4D + 6 + 2D = 6D + 6 = 6(D +1)[/tex] < --- B is NOT correct

[tex]4D + 6 + 2D = 6D + 6 = 3d + 3d + 3 + 3 = (3d + 3)+(3d +3)[/tex] by associative and commutative properties

   so C is correct

A and C are both correct.

Answer:

Choices A and C

Step-by-step explanation:

Start by simplifying the original expression.

4d+6+2d

Combine like terms

6d+6

Now, we can check each expression to see if it is equivalent to 6d+6

Choice A:

2(3d+3)

Distribute the 2

2(3d)+2(3)

6d+6 --> It is equivalent!

Choice B:

6(d+6)

Distribute the 6

6(d)+6(6)

6d+36 --> No, it is not equivalent

Choice C

(3d+3)+(3d+3)

The parentheses aren't necessary so we can take them out.

3d+3+3d+3

Combine like terms

6d+6 --> It is equivalent!

does it look correct

Answers

Answer:

The box that says 8 is greater than 8 is wrong, you did the ones so it should be 8 is greater than 6 --> 8>6

also I think the right side should be like this ---> 42>22 64>46 88>86 92>29

Help please with this math homework #help

Answers

Answer:

128/15 glass of water

Step-by-step explanation:

3/4 hrs = 4/5 of 8 = 32/5

Now,

1 hr = 32/5/3/4

or, 1 hr = 32/5 × 4/3

or, 1 hr = 128/15

1. What is one fourth of 116?




2. The deli made 105 bacon egg and cheese sandwiches and 123 turkey sandwiches.
Once the day was over, the deli workers noticed they sold one half of their sandwiches,
How many sandwiches did they sell?

Answers

1. 29


2. 114 deli sandwiches

write the following fractions in word. 3/4, 1/5, 3/4, 1 3/5.. please help me​

Answers

Answer:

"In word" as in word form?

3/4 = three fourths

1/5 = one fifth

3/4 = three fourths (again?)

1 3/5 = one and three fifths

Once again....i need help

Answers

Answer:
This is 1/4 of a circle and we know since the angle is a right angle.
SInce we need the area we can find the area of the “full” circle and then divide that by 4 to find the section of this circle.

The formula is
A=πr^2

Radish is 2.
2^2=4
SInce we have 3.14 for π
A=3.14(4)
12.56=a

Divide by 4

12.56/4= 3.14

3.14 is the area.

What is the difference between the volumes of the Chunky Chicken Noodle Soup can and the Condensed Chicken Noodle Soup can? Use 3. 14 for pi in all calculations you must show your work what you multiplied to find the volumes of both cans and the difference between the two volumes.

Answers

Answer:

1. The formula used to find the volume of a cylinder is v = π * r^2 * h, where r is the radius and h is the height.

2. 3746.648

Step-by-step explanation:

2.

Let's start by finding the volume of the Chunky Chicken Noodle Soup.

When applying the formula, we get an equation: v = 9.8596 x 36 x 15The volume is 5324.184

Now, let's find the volume of the Condensed Chicken Noodle Soup.

When applying the formula, we get an equation: v = 9.8596 x 16 x 10The volume is 1577.536

Finally, let's subtract the total volumes.

5324.184 - 1577.536The final answer is 3746.648

Given the function h(x)=-x^2-6x+17, determine the average rate of change of the function over an interval -9

Answers

Answer:

5

I hope this helps you:)

Find the base
90% of what number is 27?​

Answers

Answer:

30 is the total number..p

A square represents
1 whole and each triangle represents 2 of a whole. How
would you represent 3 1/2?

Answers

If one square = whole
And if triangle = 1/2 whole
3 1/2 = 1 TRIANGLE and 3 SQUARES
or 7 triangles
or 3 triangles and 2 squares
or 5 triangles and 1 square

The sum of two numbers is 18. The difference of the two numbers is -2. Find the numbers.

Answers

Answer:

8 and 10

Step-by-step explanation:

8+10= 18

8-10= -2

Answer: The two numbers are 8 and 10.

Hopefully this helps!

The ordered pair (–2, 4) is located at
.

Answers

1 quadrant I’m pretty sure since I’ve done this

Order the numbers from least to greatest.
And PLEASE explain, PLEASE on how you got the answer

Answers

1/3 2/5 3/4 4/5 is the answer

Answer:

[tex]\frac{1}{3}, \frac{2}{5} , \frac{3}{4} , \frac{4}{5}[/tex]

Step-by-step explanation:

Start by making a common denominator. That way we can just compare the numerators of the fractions and easily order then from least to greatest. Start by finding the LCM(least-common-multiple) of the denominators.

The LCM of 3, 4, and 5, is 60.

So let's make each of the fractions have a denominator of 60.

Start with [tex]\frac{2}{5}[/tex],

[tex]\frac{2}{5} =\frac{x}{60}[/tex], no we have to solve for x, and since we multiply by 12 to get to 60 from 5, we multiply 2 by 12 as well.

So, [tex]x=24[/tex].

Now do the same for each fraction.

[tex]\frac{1}{3} =\frac{x}{60}[/tex], we multiply by 20, so [tex]x=20[/tex]

[tex]\frac{4}{5} =\frac{x}{60}[/tex], we multiply by 12, so [tex]x=48[/tex]

[tex]\frac{3}{4}=\frac{x}{60}[/tex], we multiply by 15, so [tex]x=45[/tex]

So now are new fractions are [tex]\frac{24}{60} , \frac{20}{60} ,\frac{48}{60} , \frac{45}{60}[/tex]

Now just order these like normal since they have a common denominator.

[tex]\frac{20}{60} ,\frac{24}{60} , \frac{45}{60} , \frac{48}{60}[/tex]

Now revert them and make them there original values

[tex]\frac{1}{3}, \frac{2}{5} , \frac{3}{4} , \frac{4}{5}[/tex]

Name one person in hxh that is attracted to gon yes the seually attracted

Answers

Answer:

Hisoka FS no doubt he is most def BRAINLIEST???


Half the number of people in a train carriage are adults
and half of the adults are women. If there are 28 women,
how many people are in the carriage altogether?

Answers

Answer:

56

Step-by-step explanation:

56÷2=28 28+28=56 So its 56 all together

please do this you will be marked brainliest

Answers

Answer:

z ∈ { 12, + ∞ >

Alternate form: z ≥ 12, { z l z ≥ 12 }

Step-by-step explanation:

1- Determine the defined range

2- Factor the expression

3- Simplify the root

4- Move the variable to the left

5- Separate into possible cases

6- Solve

7- Find the intersections

8- Find the union

Answer: Z ≤ 12

The correct answer is "Z is less than or equal to 12", Z ≤ 12.

Step-by-step explanation:

Hope this helps.

Charlie is given a box of chocolates.
There are 12 milk chocolates, 8 dark chocolates and 6 white chocolates.
What is the probability that Charlie will pick a white chocolate?
Without replacing the chocolate, what is the probability that the next chocolate Charlie picks will be a milk
chocolate?

Answers

Answer:

probability of white chocolate is 0.0016=16 percent 26 percent is the probability of of him picking chocolate

Magician Anthony has in his magic hat 14 grey, 8 white and 6 black mice. What is
the least number of mice he has to take out of his hat blindfolded to be absolutely
certain that he has got at least one mouse of each colour?

Answers

The least number of mice that he has to take out of his hat would be 23.

How to solve for the least number of mice

We have the following details to solve this problem

x = 14

t = 8

u = 6

n1 = x + t + 1

= 14 + 8 + 1 = 23

n2 = t + u + 1

= 8 + 6 + 1 = 15

n3 = x + u + 1

= =14+6+1=21

From here the

max n (n1, n2, n3) = 23, 15, 21

Hence the least number that has to be taken out would be 23.

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Angle C and angle D are supplementary. If the measure of angle D is 84 degrees, what is the measure
of angle C?

Answers

Suplementary is angles add up to 180 degrees

C=180-D

C=180-84

C=96 degrees

Hope this helped :)

2(x+9)= [ ]x + [ ] what is the answer I’m struggling in math rb please help!!

Answers

Answer:

2x+18

Step-by-step explanation:

We can start by distributing the 2 to each term in the parentheses...

2(x)+2(9)

Multiply

2x+18

Answer:

[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: 2x + 18}}}}}}}}[/tex]

Step-by-step explanation:

[tex]2(x + 9)[/tex]

Remove the brackets & mutiply 2 with x & 9.

[tex]2(x) + 2(9)\\\\\Longrightarrow\large\boxed{ \sf\:2x + 18}[/tex]

•°• Our expression is 2x + 18, i.e, 2 (x + 9) = [2]x + [18].

__________

Hope it helps !

[tex]\mathfrak{Lucazz}[/tex]

what is the number between 8 and 21

Answers

Answer:

9,10,11,12,13,14,15,16,17,18,19,20

i hope you can wrap your mind around it

enjoy your next 24 hours <3

9. Factorise: 1 - (a - b)2​

Answers

Answer:

-2a+2b+1 is the answer hope this helps

In the diagram above, angle 4=40 degrees. Find the measure of angle 1

Answers

Answer:

140° is the answer.

Step-by-step explanation:

The photo explains it

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