Triangles △ABC and △DEF are similar. Find the lengths of the sides of △DEF, if AB=2 cm, BC=3 cm, CA=4 cm, DE=1.5 cm.

Answer:

"Grows by a constant percent."

Step-by-step explanation:

5% of 500 is 25 = 525

5% of 525 is 26.25 = 551.25

5% of 551.25 is 27.56 = 578.81

Please leave a thanks. And can I have Brainliest?

Answer: 5/9 of a mile

Step-by-step explanation:

2/6 + 2/9

3/9 + 2/9

5/9

A(x) = x(16 -x)

Area is the product of length and width. If the length is x, then the width will be half of the total perimeter less the two sides of length x, (32-2x)/2 = 16-x.

So, the area is ...

... A = length · width

... A(x) = x(16 -x)

_____

If you like, you can expand this to ...

... A(x) = -x² +16x

The area of a rectangular figure is calculated by multiplying the length and the width of the figure. So, the area as a function of x is: [tex]A(x) = x(16 - x)[/tex]

Given that:

[tex]P = 32[/tex] --- the perimeter of the fence

Represent

[tex]x \to[/tex] length

[tex]y \to[/tex] width

The perimeter of a rectangular fence is calculated as:

[tex]Perimeter = 2 \times (Length + Width)[/tex]

So, we have:

[tex]P= 2 \times (x+ y)[/tex]

[tex]32= 2 \times (x+ y)[/tex]

Divide both sides by 2

[tex]16= x+ y[/tex]

Make y the subject

[tex]y = 16 - x[/tex]

The area (A) of the fence is:

[tex]Area = Length \times Width[/tex]

So, we have:

[tex]A = x \times y[/tex]

Substitute [tex]y = 16 - x[/tex]

[tex]A = x \times (16 - x)[/tex]

[tex]A = x(16 - x)[/tex]

So, the area as a function of x is:

[tex]A(x) = x(16 - x)[/tex]

Read more about area and perimeters at:

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Answer:

r = -189

Step-by-step explanation:

-13 - 8 = r/9

- 21 = r/9

r = 9 * -21

r = -189

Answer:

r = -189

Step-by-step explanation:

-13= r/9 +8

To solve this equation, we will start by subtracting 8 from each side

-13-8 = r/9 +8-8

-21 = r/9

Multiply each side by 9 to isolate r

-21*9 = r

-189 =r

Answer:

the Answer would be 17.     Hope it helped ; )

Step-by-step explanation:

A. (0,0) is a solution to n=m and to n=4m.

The equations can be solved by any of the usual means. Using substitution, we have ...

... m = n = 4m

... m(4 -1) = 0 . . . . subtract the left side

... m = 0 . . . . . . . . divide by 3

... n = m = 0

The solution is (m, n) = (0, 0).

Answer:

the answer is A, my answer got deleted

Answer: it is 117 inches.

Step-by-step explanation:

1 yard= 36 inches

36 times 3= 108

1/4 of 36= 9

36 divided by 4 is 9 so 1/4 of 36 is 9.

108 + 9= 117

Answer:

5,41%

Step-by-step explanation:

Remark

It's hard to interpret what % increase means. I'm going to work first with the actual increase and then I'll give the % increase. The answer I give will likely be in your choices, but it could still be incorrect.

Givens

Walking distance from A to B = 10 units down + 10 units east + 10 units down + 10 units east + 10 units down + 10 units east = 60 units.

Swimming distance = 2*sqrt(10^2 + 30^2) = 63.25 units.

Solution

The difference = 63.25 - 60 = 3.25

The % increase = (3.25/60)*100 = 5.41%

Answer:

The integers are, 30 and 31

Step-by-step explanation:

Given the statement: Two consecutive integers have a sum of 61 .

Let x and x+ 1 are the two consecutive integers.

then;

as per the given condition we have;

[tex]x +(x+1) = 61[/tex]

Combine like terms;

[tex]2x+1 = 61[/tex]

Subtract 1 from both sides ;

[tex]2x + 1-1 = 61 -1[/tex]

Simplify:

2x = 60

Divide both sides by 2 we get;

x = 30

and

value of x+1 = 30+1 = 31

Therefore, the integers are, 30 and 31.

[tex]35.6\times10^{-4}=35.6\times0.0001=0.00356[/tex]

[tex]a^{-n}=\dfrac{1}{a^n}\\\\10^{-4}=\dfrac{1}{10^4}=\dfrac{1}{10000}=0.0001[/tex]

Final answer:

0.00356.

Explanation:

The question requires us to express the product of a decimal number and a power of ten in standard form. To find 35.6 times 10^-4 in standard form, we can use the rule of multiplying a decimal number by a power of ten. Multiplying by 10^-4 means we move the decimal point four places to the left.

So, 35.6 × 10^-4 becomes 0.00356. This is the number 35.6 shifted four decimal places to the left, as the exponent on the ten is negative, indicating division by ten for each unit of the exponent.

Answer:

So, it is given to us that Jaden has 3 pound of beef in the first pot and 2 table spoons of chili powder.

(16 ounces = 1 pound)

(48 ounces = 3 pounds)

In he second bowl he uses the SAME amount of beef and 3 times as much chili powder.

Which means that he used 3 pounds of beef and 2*3 = 6 table spoons of chili powder in the second cup.

The question is asking you for the ratio between the two quantities in a cryptic manner.

so, it would end up being 3 pounds of beef every 6 table spoons of chili powder, which is nothing but Half (0.5 pounds of beef every tablespoon of chili powder).

1/2 pounds of beef every tablespoon of chili powder.

HOPE THIS HELPS!

Jaden used 0.5 pounds of beef for every tablespoon of chili powder in the second pot of chili when he tripled the amount of chili powder while keeping the amount of beef unchanged.

In the first pot of chili, Jaden effectively used 48 ounces of beef per 2 tablespoons of chili powder. This equates to 24 ounces of beef per tablespoon of chili powder. However, when Jaden tripled the amount of chili powder in the second pot, the ratio of beef to chili powder decreased since more chili powder is being used for the same amount of beef. Therefore, since he used three times as much chili powder in the second pot, this resulted in a ratio of 48 ounces of beef per 6 tablespoons of chili powder. That equates to 8 ounces of beef for every tablespoon of chili powder which are used in the second pot. Furthermore, since 1 pound equals 16 ounces, the number of pounds of beef used per tablespoon of chili powder in the second pot is 8/16, or 0.5 pounds.

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Answer:

C. 4/7

Step-by-step explanation:

The scale factor is the ratio of corresponding side lengths (the only ones marked with a length).

... 12/21 = 4·3/(7·3) = 4/7

Answer:

y-2 = -(x-2)

Step-by-step explanation:

To find the slope

m = (y2-y1)/(x2-x1)  where (x1,y1) and (x2,y2) are two points on the line

    = (1-3)/(4-2)

   =-2/2

   =-1

The point slope form is

y-y1 = m(x-x1)  wher m is the slope and (x1,y1) is a point on the line

y-3 = -1(x-2)

y-2 = -(x-2)

Answer:

undefined

Step-by-step explanation:

t=60 is outside the domain of the function, which is t ∈ [0, 8].

_____

If you take the function and the time at face value, ...

... h(60) = -49920 . . . feet, more than 9.4 miles below ground level*

___

*The deepest hole ever drilled into the Earth is 40,230 feet deep, so this is almost 2 miles deeper.

Answer:

C) 8 seconds

Step-by-step explanation:

the set of point M, point N, and all the points between point M and point N

We assume you're interested in a description of line segment MN, the portion of the line containing M and N that has endpoints M and N. That description is found in "Answer:" above.

Other choices:

... all collinear points: describes line MN, not segment MN

... point M and point N: describes two points, not a line segment

... points the same distance from each: describes the line that is the perpendicular bisector of segment MN

Answer:

the set of point M, point N, and all the points between point M and point N

Step-by-step explanation:

Answer:

[tex]\frac{7}{10}[/tex]

Step-by-step explanation:

Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter

Lets add all the cut of pieces and subtract it from 2 meters

[tex]\frac{5}{10} +\frac{1}{10}+\frac{7}{10}=\frac{13}{10}[/tex]

Now we subtract 13/10 from 2 meters

[tex]2 - \frac{13}{10}[/tex]

To subtract , make the denominator same

[tex]\frac{2*10}{1*10} - \frac{13}{10}=\frac{20}{10} - \frac{13}{10}=\frac{7}{10}[/tex]

7/10 meter is the remaining piece of ribbon

After adding the lengths of the ribbon pieces Carrie cut (1.3 meters), the remaining ribbon length is calculated by subtracting this from the original length, leaving Carrie with 0.7 meters of ribbon.

Carrie starts with 2 meters of ribbon and cuts off pieces measuring 5/10 meter, 1/10 meter, and 7/10 meter. To find the length of the remaining ribbon, we need to add the lengths of the pieces she has cut and then subtract this total from the original length of the ribbon.

Therefore, the remaining piece of ribbon is 0.7 meters long.

36.6

The rule for secants is pretty simple. The product of the distance from the external point to the near intersection with the circle and the distance to the far intersection with the circle is a constant.

This means ...

... BC × AC = DC × (DC+x)

... 8 × 26 = 5 × (x +5) . . . . . AC=AB+BC = 18+8 = 26

... 208 = 5x +25 . . . . . . . . . simplify

... 183 = 5x . . . . . . . . . . . . . subtract 25

... 36.6 = x . . . . . . . . . . . . . divide by 5

Answer:4(5) + 5(4)=40 ...3(5)=15

So 20+20=40 ...15=15

I Say Answer Is 3.   X=5, Y=4

Step-by-step explanation:

Answer:

1/500000000000 is the answer

Just simplify and combine like terms to find your answer. You can add the tens to the -5 power, and the 4 and 2 on the top, then divide by the expression on the bottom.

Therefore, the only expression equivalent to this one is B.

Answer:

Coordinate Plane

Step-by-step explanation:

This is a plane with two axes as a frame of reference. The x-axis is a horizontal line and the y-axis is perpendicular to it (i.e., the y-axis is vertical). The intersection of the two axes is called the origin.

Answer with explanation:

≡This plane is Called→ Two Dimensional Coordinate plane or x y plane.And the given statement is true Statement.

The Plane has two axes as a frame of reference. The x-axis is a horizontal line and the y-axis is perpendicular to it (i.e., the y-axis is vertical). The intersection of the two axes is called the origin.

⇒The value of x lies from (-∞,∞) .x∈[-∞,∞]

And ⇒,the value of y lies from (-∞,∞).y∈[-∞,∞]

And the points in this plane is represented in terms of Ordered pairs that is in the form of , (x,y).

→There are four Quadrants , in this plane and description of points is as follows:

In First Quadrant , both ,x and y positive.

In Second Quadrant  ,x negative, and y positive.

In Third Quadrant  ,x negative and y Negative.

In Fourth Quadrant  ,x positive and y Negative.

Answer: Correct answer is 1st option , 12.3

Step-by-step explanation:

We can find the value of x by calculating the tangent of the angle 39.

We know, that tangent of an angle in a triangle = Perpendicular/Base, corresponding to that angle.

So, tan 39 = 10/x

Again, we know that tan 39 = .81

So, .81 = 10/ x

or, x = 10/.81

or, x = 12.34

So value of x to the nearest tenth = 12.3

Hope thsi helps

Thank you

Answer:

5 hours

Explanation:

$

6.50

(

3

)

+

$

6.50

x

=

$

52.00

$

19.50

+

$

6.50

x

=

$

52.00

$

6.50

x

=

$

32.50

x

=

5

Glad i could help! Sorry if i came out kinda weird lol

Answer:

Answer:

5 hours

Explanation:

$

6.50

(

3

)

+

$

6.50

x

=

$

52.00

$

19.50

+

$

6.50

x

=

$

52.00

$

6.50

x

=

$

32.50

x

=

5

Glad i could help! Sorry if i came out kinda weird lol

Answer:

C)  a = 10√3, b = 5√3, c = 15 , d = 5

Step-by-step explanation:

Here we use the ratio of 30, 60, 90 degree triangle.

The ratio of sides, 1:√3:2

2x = 10

x = 5

d = 5

b = 5√3

c = 5√3√3

c = 5*3 = 15

c = 15

a = 2(5√3)

a = 10√3

Therefore, a = 10√3, b = 5√3, c = 15 and d = 5

Thank you.

Answer:

The correct answer is C.

Step-by-step explanation:

From the [tex]60\degree[/tex] right angle triangle

[tex]\sin(60\degree)=\frac{b}{10}[/tex]

[tex]10\times \sin(60\degree)=b[/tex]

[tex]10\times \frac{\sqrt{3}}{2}=b[/tex]

[tex]5\sqrt{3}=b[/tex]

From the same [tex]60\degree[/tex] right angle triangle,

[tex]\cos(60\degree)=\frac{d}{10}[/tex]

[tex]10\times \cos(60\degree)=d[/tex]

[tex]10\times \frac{1}{2}=d[/tex]

[tex]5=d[/tex]

From the [tex]30\degree[/tex] right angle triangle

[tex]\sin(30\degree)=\frac{b}{a}[/tex]

[tex]\frac{1}{2}=\frac{5\sqrt{3}}{a}[/tex]

[tex]a=2\times 5\sqrt{3}[/tex]

[tex]a=10\sqrt{3}[/tex]

From the same [tex]30\degree[/tex] right angle triangle,

[tex]\cos(30\degree)=\frac{c}{a}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{c}{10\sqrt{3}}[/tex]

[tex]10\sqrt{3} \times \frac{\sqrt{3}}{2}=c[/tex]

[tex]5 \times 3=c[/tex]

[tex]c=15[/tex]

The correct answer is C.

Answer:

[tex]13[/tex]

Step-by-step explanation:

The given expression is;

[tex]3x-2[/tex]

We want to evaluate this expression when [tex]x=5[/tex].

This means that, we substitute [tex]5[/tex] wherever we see [tex]x[/tex] in [tex]3x-2[/tex]

The expression will now be

[tex]=3(5)-2[/tex]

This will simplify to be

[tex]=15-2[/tex]

The final result is

[tex]=13[/tex]

The correct answer C.

Answer:

13

Step-by-step explanation:

To solve this problem, we need to use the substitution method - because we are given a value for x and asked to evaluate the expression.

Evaluate 3x - 2; x = 5

1. Substitute 5 in for x in the expression

3(5) - 2

2. Multiply

15 - 2

3. Subtract

13

Answer:

The answer is 10

Answer:

The answer is 10

Step-by-step explanation:

a)7^-2=1/7^2=1/49

b) (8^4)^2/8^11=8^8/8^11=1/8^3=1/512.

To find the value of an expression without exponents, divide numbers and subtract the exponents for division, and when squaring, multiply the number by itself. Any number raised to the power of 2 is squared, and to the power of 3 is cubed.

To find the value of an expression without any exponents, you might need to use the rule: to divide two exponential numbers, divide the numbers out front and subtract the exponents. Here's an example:

If we have to find the value of 106 ÷ 103, you'll divide 10 by 10 (which is 1) and subtract the exponents (6 - 3), resulting in 103, which equals to 1000 when you remove the exponent.

In the context of squaring exponents, when you square a number like 52, it means 5 x 5, which equals 25. Squaring is also known as raising to the power of 2. Similar to this, any number raised to the power of 3 is said to be cubed.

These concepts are fundamental when calculating extreme values like $rac{4.81x10^4}{2.05x10^2}$, solving quadratics, and handling scientific notations.

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Answer:

A. (2x + 5)(2x - 5)

Step-by-step explanation:

Factor out the polynomial given.

(4x² - 25) = (2x - 5)(2x + 5)

Check: Use the FOIL method.

(2x)(2x) = 4x²

(2x)(5) = 10x

(2x)(-5) = -10x

(-5)(5) = -25

Simplify. Combine like terms: 4x² + 10x - 10x - 25 = 4x² - 25

A. (2x + 5)(2x - 5) is your answer

~

So for this, we will be applying the difference of squares rule, which is [tex]x^2-y^2=(x+y)(x-y)[/tex] . In this case:

[tex]\sqrt{4x^2}=2x\\\sqrt{25}=5\\\\4x^2-25=(2x+5)(2x-5)[/tex]

In short, your answer is A. (2x + 5)(2x - 5).

Answer:

Option B is correct .i.e., 30 square centimeters

Step-by-step explanation:

We have to find area of ACDE.

From given figure ACDE is made up of two triangles ΔBCD &  ΔABE

So, Area of ACDE = Area of ΔBCD + Area of ΔABE

Area of traingle = [tex]\frac{1}{2}\times Base\times Height[/tex]

⇒ Area of ACDE =  [tex]\frac{1}{2}\times CD\times BF+\frac{1}{2}\times AB\times AE[/tex]

                            = [tex]\frac{1}{2}\times6\times2+\frac{1}{2}\times4\times12[/tex]

                            = [tex]6+2\times12[/tex]

                            = [tex]30\:cm^2[/tex]

Therefore, Option B is correct .i.e., 30 square centimeters