The figure ABCD is made up of two different triangles.ABD is a right-angled triangle.AB=25 cm,AD=60 cm,BD=65 cm and CE=45 cm.Find the area of figure ABCD.​

Answer:

8.79

Step-by-step explanation:

Rounding the nearest hundredth would be using the thousandths place to determine if the hundredths place must be rounded up or down. Because there is no visible thousandths place in 8.79, then it stays as 8.79. Because technically, there is an infinite number of zero's after the 9- and because 0 is less than 5, we leave the number as it is.

Answer:

A. Parallel

Step-by-step explanation:

The given lines are

[tex]y=6x[/tex]

and

[tex]y=6x+2[/tex]

The slope of [tex]y=6x[/tex] is [tex]m_1=6[/tex].

The slope of [tex]y=6x+2[/tex] is [tex]m_2=6[/tex].

Since the two lines have the same slope, the two lines are parallel.

Answer:

The correct answer option is A. parallel.

Step-by-step explanation:

We are given the following two lines and we are to determine if they are parallel, perpendicular or none of them:

[tex]y = 6x[/tex] and [tex]y = 6x + 2[/tex]

According to the standard equation of a line, [tex]y=mx+c[/tex], the coefficient of x ([tex]m[/tex]) is the slope of the line.

Slope of [tex]y = 6x[/tex]  = 6

Slope of [tex]y = 6x + 2[/tex]  = 6

Since both the lines have same slope, therefore the two line are parallel.

This is a maths problem involving the Pythagorean theorem, which involves calculating the hypotenuse of a right triangle. The squirrel, living in a tree 12 meters high and needing to glide to an acorn 16 meters away, will need to glide a distance of 20 meters.

This question is essentially asking you to calculate the hypotenuse in a right triangle, and the formula for this is rooted in the Pythagorean theorem. You're given the height of the tree (12 meters), which we can call 'a', and the distance from the base of the tree to the acorn (16 meters), which we can designate as 'b'.

The Pythagorean theorem goes as follows: a squared + b squared = c squared, where 'c' is the hypotenuse of the triangle, or in this case, the distance the flying squirrel needs to glide. So, we can plug in the numbers we have: (12²) + (16²) = c². This simplifies to 144 + 256 = c², or 400 = c².

To solve for 'c', we take the square root of both sides, and find that c = 20. Thus, the flying squirrel needs to glide 20 meters to reach the acorn.

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The flying squirrel will have to glide 20 meters to reach the fallen acorn.

To find out how far the flying squirrel will have to glide to reach the fallen acorn, we can use the Pythagorean theorem because the squirrel will glide in a straight line from the tree to the acorn.

Let's denote the distance the squirrel glides as ( x ). According to the Pythagorean theorem, in a right triangle, the square of the hypotenuse (the distance the squirrel glides) is equal to the sum of the squares of the other two sides (the height of the tree and the horizontal distance to the acorn).

The given information:

- Height of the tree  =  12 meters

- Horizontal distance to the acorn  =  16 meters

Using the Pythagorean theorem, we have:

[tex]\[x^2 = (\text{Height})^2 + (\text{Distance to acorn})^2\]\[x^2 = 12^2 + 16^2\]\[x^2 = 144 + 256\]\[x^2 = 400\][/tex]

Taking the square root of both sides:

[tex]\[x = \sqrt{400}\]\[x = 20\][/tex]

So, the flying squirrel will have to glide 20 meters to reach the fallen acorn.

The correct answers are 2,3, and 4.

(if not 4, then the last one)

Answer:

C.Vertical angles prove that angle 3= angle 6

D.The triangles are similar because alternate interior angles are congruent.

Step-by-step explanation:

When line d is parallel to line c.

We have to find the true statements about the figure.

Then, [tex]\angle 3=\angle 6[/tex](Vertical angles are equal)

[tex]\angle 1=\angle 4[/tex]

[tex]\angle 2=\angle 5[/tex]

Reason: Alternate interior angles

Two triangles are similar by AA postulate

Reason:Alternate interior angle are congruent.

Option C and D are true.

C.Vertical angles prove that angle 3= angle 6

D.The triangles are similar because alternate interior angles are congruent.

Answer:

(-8, -4) is the solution

Step-by-step explanation:

Determine whether or not (-8, -4) is a solution to this system.  It is a solution if we can substitute -8 for x and -4 for y in both equations and find that both equations are true:

2(-8) = 5(-4) + 4 TRUE

3(-8) - 2(-4) = -16 TRUE

So (-8, -4) is a solution to the given system.

Check out the second possible solution in the same way:

2(8) = 5(4) + 4 FALSE

Check out the third possible sol'n in the same way:

2(-4) = 5(4) + 4  FALSE

Check out the fourth in the same way:

2(4) = 5(8) + 4   FALSE

So we conclude that (-8, -4) is the sole solution to the given system.

Answer:

(-8, -4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have (-3, 1) and (-1, 5). Substitute:

[tex]d=\sqrt{(-1-(-3))^2+(5-1)^2}=\sqrt{2^2+4^2}=\sqrt{4+16}=\sqrt{20}\\\\=\sqrt{4\cdot5}=\sqrt4\cdot\sqrt5=2\sqrt5\approx2\cdot2.23=4.46[/tex]

Answer:

it 4.47

Step-by-step explanation:

I TOOK THE TEST

Answer:

[tex]x= 0\\x =4[/tex]

Step-by-step explanation:

We have the expression:

[tex]x ^ 2-4x = 0[/tex]

To solve this equation we must factor:

1.- Take common factor x.

[tex]x(x-4) = 0[/tex]

2.- Evaluate the expressions to know when they are equal to 0.

[tex]x = 0[/tex] or [tex]x-4 = 0[/tex]

[tex]x = 0[/tex] or [tex]x = 4[/tex]

3.- The solutions are:

[tex]x = 0\\x = 4[/tex]

Answer:

The answer is the first

Amie should have multiplied 54 by 2/3

Step-by-step explanation:

* Lets start with the rule of the volume of each solid

∵ Volume the sphere = 4/3 π r³

∵ Volume the cylinder = π r² h

∵ The radii and the heights of the sphere and the cylinder are equal

∴ The ratio between there volumes are

   4/3 π r³ : π r² h

- Lets divide each part by π r²

∴ 4/3 r : h

∵ The height of the sphere = the diameter of it = 2r

∴ The height of the cylinder = 2r

∴ The ratio will be:

   4/3 r : 2r

- Now divide each part by 2r

∵ (4/3)r ÷ 2r = 2/3

∵ 2r ÷ 2r = 1

∴ The ratio is 2/3 : 1

∴ The volume of the sphere = 2/3 the volume of the cylinder

∵ The volume of the cylinder = 54 m³

∴ The volume of the sphere = 2/3 × 54 = 36 m³

∴ The answer is Amie should have multiplied 54 by 2/3

Answer:

The answer is Amie should have multiplied 54 by 2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

This time we'll do this using 1 formula to get the answer.

Givens

n = 9 (number of sides in an 9-gon.

inradius (apothem) = a= 7

Formula

Area = a^2 * n * tan(180/n)     Substitute

Solution

Area = 9^2 * 9 * tan(180/9)     Combine

Area = 81 * 9 * tan(20)

Area = 729 * tan (20)

Area = 265.33

Area rounded = 265

Answer:

AB is A

BC is B

AC is D

Step-by-step explanation:

To find the length of each side, use the formula for the distance between coordinate pairs.

We can find the distance using the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AB

We then substitute (-3,6) as [tex](x_1,y_1)[/tex] and (2,1) as [tex](x_2,y_2)[/tex].

[tex]d=\sqrt{(2--3)^2+(1-6)^2} \\d=\sqrt{(2+3)^2+(-5)^2} \\d=\sqrt{25+25}\\d=\sqrt{50}[/tex]

BC

We then substitute (2,1) as [tex](x_1,y_1)[/tex] and (9,5) as [tex](x_2,y_2)[/tex].

[tex]d=\sqrt{(9-2)^2+(5-1)^2} \\d=\sqrt{(-7)^2+(4)^2} \\d=\sqrt{49+16}\\d=\sqrt{65}[/tex]

AC

We then substitute (-3,6) as [tex](x_1,y_1)[/tex] and (9,5) as [tex](x_2,y_2)[/tex].

[tex]d=\sqrt{(9--3)^2+(5-6)^2} \\d=\sqrt{(12)^2+(-1)^2} \\d=\sqrt{144+1}\\d=\sqrt{145}[/tex]

a. ability to access cash value

The third one because it’s exponential and that is the form of an exponential increase function

third answer - exponential form .. hope this helps!!

Answer: 19.13 yd²

Step-by-step explanation:

1. By definition,  you have that 1 square meter is equal to 1.19599 square yards. You can express it as following:

1 m²= 1.19599 yd²

2. Then, keeping the information above on mind, you can make the conversion from 16 m² to yd² as it is shown below:

[tex](16m^2)(\frac{1.19599yd^2}{1m^2})=19.13yd^2[/tex]

Therefore, you have that 16 m² is equivalent to 19.13 yd².

You can convert square meters to square yards by multiplying by 1.196. Therefore, 16 square meters is equivalent to 19.14 square yards.

You're asking about the conversion between square meters and square yards, which is used in measuring areas in mathematics and geometry. To do this conversion, we can use the conversion factor given in the references - 1 m² = 1.196 square yards.

Therefore, to find out how many square yards are equivalent to 16 square meters, we multiply 16 m² by 1.196 (the number of square yards in one square meter). Doing this math gives us an equivalent area of 19.136 square yards.

So, your 16-square meter area is roughly equivalent to 19.14 square yards, when rounded to two decimal places.

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Answer:

Part 1) [tex]y=-(1/4)x[/tex]

Part 2) [tex]y=-(3/5)x+2[/tex]

Part 3) [tex]y=(1/5)x-2[/tex]

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-coordinate of the y-intercept

Part 1) we have

[tex]20x+80y=0[/tex]

Simplify

Divide by 20 both sides

[tex]x+4y=0[/tex]

isolate the variable y

Subtract x both sides

[tex]4y=-x[/tex]

Divide by 4 both sides

[tex]y=-(1/4)x[/tex] ------> equation of the line into slope intercept form

[tex]m=-(1/4)[/tex]

[tex]b=0[/tex]

Part 2) we have

[tex]30x+50y-100=0[/tex]

Simplify

Divide by 10 both sides

[tex]3x+5y-10=0[/tex]

isolate the variable y

Subtract (3x-10) both sides

[tex]5y=-(3x-10)[/tex]

Divide by 5 both sides

[tex]y=-(3/5)x+2[/tex] ------> equation of the line into slope intercept form

[tex]m=-(3/5)[/tex]

[tex]b=2[/tex]

Part 3) we have

[tex]3x-15y-30=0[/tex]

Simplify

Divide by 3 both sides

[tex]x-5y-10=0[/tex]

isolate the variable y

Subtract (x-10) both sides

[tex]-5y=-(x-10)[/tex]

Divide by -5 both sides

[tex]y=(1/5)x-2[/tex] ------> equation of the line into slope intercept form

[tex]m=(1/5)[/tex]

[tex]b=-2[/tex]

Answer:

the answer is 30

Step-by-step explanation:

9(5)=45

45-15=30

➷ Substitute 5 into everywhere you see 'n'

9(5) - 15

Simplify:

9 x 5 = 45

45 - 15 = 30

The answer is 30.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:   330⁰

Step-by-step explanation:

Circumference (C) = 2π · radius(r)

                          12 = 2π·r

                     [tex]\dfrac{6}{\pi}=r[/tex]

Arc length (s) = radius(r) · θ           (reminder that theta is in radians)

                  [tex]11=\dfrac{6}{\pi}\cdot \theta[/tex]

                  [tex]\dfrac{11\pi}{6}=\theta[/tex]

To convert radians to degrees, use the proportion:   π = 180⁰  

[tex]\dfrac{\pi}{180}=\dfrac{11\pi}{6x}\\\\6x(\pi)=180(11\pi)\\\\x=\dfrac{180(11\pi)}{6\pi}\\\\x=30(11)\\\\x=330[/tex]

Answer:

D

Step-by-step explanation:

|-9 5/8| = 9 5/8 = 9.625

6.28 x 10^2 = 628

62.85 = 62.85

Now order them.

9.625, 62.85, 628

So

|-9 5/8|, 62.58, 6.28 x 10^2

Answer: i think itz  D but im not 100% sure

Step-by-step explanation:

Answer:

22 degrees

Step-by-step explanation:

Since both triangles correspond, side x is correspondent to 22 degrees, Since that is also the only given piece of information, that is your answer.

85+92+84+71+94+x /6>86

Multiply both sides by 6

426+x>516

Subtract 426 from both sides

X>90

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For x = 5, the only solution to the inequality or equation is 5. while for the inequality x ≥ 5, this has several values or solutions.

Given the following inequality expression

The inequality x = 5 is different from x ≥ 5 in that;

For x = 5, the only solution to the inequality or equation is 5. It shows only one solution

For the inequality x ≥ 5, this has several values or solutions. It consists of all the values of x that are greater than5.

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ANSWER

[tex]{(y + 2)}^{2} = 8(x - 4)[/tex]

EXPLANATION

The given parabola has equation of the form

[tex] {(y - k)}^{2} = 4p(x - h)[/tex]

where (h,k) is the vertex of the parabola.

The vertex of the given parabola is (4,-2).

and p is the distance between the foci and the vertex.

[tex] |p| = 2[/tex]

The parabola opens towards the positive x-axis, therefore p=2.

Hence the equation of the parabola is

[tex] {(y + 2)}^{2} = 4 \times 2(x - 4)[/tex]

[tex]{(y + 2)}^{2} = 8(x - 4)[/tex]

Answer:

Your answer is going to be E for plato users or (y^2/8) + (y/2) + (9/2)

Step-by-step explanation:

Since it is a horizontal Parabola the equation is: (y-k)^2 = 4p(x-h)

The distance between the directrix: p

therefore P=2

h = X value in the vertex

k = Y value in the vertex

h = 4

k = -2

Plug the values into the equation and solve for x

Answer:

A

Step-by-step explanation:

The center is at (-4.5,0) because -9/2 = -4.5

9 is the diameter in the above equation

Answer:

"circle; diameter of 9; center at (-4.5,0)"

Step-by-step explanation:

The polar equation of a circle centered on an axis, would take the forms:

1. Positive x-axis

r = (diameter) Cos θ

2. Positive y-axis

r = (diameter) Sin θ

3. Negative x-axis

r = - (diameter) Cos θ

4. Negative y-axis

r = - (diameter) Sin θ

As we see from the equation given, the diameter is 9 and it is centered n negative x-axis. And the center is Diameter divided by 2. So negative x axis has the center at (-9/2, 0) = (-4.5, 0)

The first choice is correct.

Answer:

The perimeter is 38.25 units

Step-by-step explanation:

The perimeter of the tra-pezoid is the distance around it.

The length of the bases can be found using the absolute value method.

|RS|=|20-14|=6 units.

|TQ|=|22-8|=14

Recall the distance formula;

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We use the distance to find the non parallel sides.

[tex]|ST|=\sqrt{(20-22)^2+(16-8)^2} =8.25[/tex] units.

and

[tex]|QR|=\sqrt{(8-14)^2+(16-8)^2} =10[/tex] units.

The perimeter of the tra-pezoid is

=14+10+6+8.25=38.25

Answer:

the answer is 38.25

Step-by-step explanation:

Answer:

It has 2.

Step-by-step explanation:

Since the numbers aren't zeroes they are automatically significant figures.

Answer:

2

Step-by-step explanation:

There are 2 digits needed to nail down the precise value of 12: a 1 in the tens place and a 2 in the ones place, giving it 2 significant figures.

For a few more examples, the number 1.23 would have 3 significant figures, the number 56.89 would have 4, and the number 1.00000 would have 1, as the trailing zeroes don't contribute anything to the number's actual value.

The half-life of the substance is calculated using the decay constant and is found to be 5.0 days when rounded to the nearest tenth.

To find the half-life of a substance, we use the decay formula N = [tex]N0e^{-kt}[/tex], where N is the remaining mass at time t, N0 is the initial mass, k is the decay constant, and t is the time in days. For a substance to reach its half-life, the remaining mass (N) will be half of the initial mass (N0).

Let's substitute the known values to find the half-life:

Initial mass N0 = 22 g

The decay constant k = 0.138

Half of the initial mass would be 11 g, so N = 11 g

Using the formula for half-life:

0.693 / k = t1/2

Substitute k = 0.138 into the equation:

t1/2 = 0.693 / 0.138

Calculate the half-life:

t1/2 = 5.0 days

Thus, we round to the nearest tenth to get the half-life as 5.0 days.

Answer:

C.) 60 feet

Step-by-step explanation:

Knowing that the formula for finding the circumference of a circle is [tex]\pi d[/tex] or [tex]2\pi r[/tex], we are able to set up the equation to be:

[tex]188.4=3.14d[/tex]

[tex]\frac{188.4}{3.14} =d[/tex]

[tex]60=d[/tex]

and done! :)

Answer:

ok so the answer is.

Step-by-step explanation:

thanks for listening bestie <3

Answer:

FIRST OPTION.

THIRD OPTION.

FOURTH OPTION.

FITH OPTION.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope, b the y-intercept and the exponent of x is always 1 or 0.

Solve for y from  the equations shown below:

[tex]5+2y=13\\2y=8\\y=4[/tex]

(In this linear function the slope is 0)

[tex]y-5=2(x-1)\\y=2x-2+5\\y=2x+3[/tex]

(It is a linear function)

[tex]\frac{y}{2}=x+7\\ y=2(x+7)\\y=2x+14[/tex]

 (It is a linear function)

Equation of the line whose slope is not defined:

[tex]x=-4[/tex]

Answer:

1, 3, 4, and 5

Step-by-step explanation:

Edge 2021!

Proof:

Answer:

175 I believe.

Step-by-step explanation:

The distance between the sandbag and the target is 325 meters.

The distance between the sandbag and the target can be calculated by subtracting the distance of the sandbag from the balloon's height from the total distance between the balloon and the target. In this case, the balloon is 250 meters above the target and the sandbag is 75 meters below the balloon. So, the distance between the sandbag and the target is 250 + 75 = 325 meters.