Calcula la hipotenusa de un triángulo rectángulo, cuyos catetos miden 24 dm y 20 dm, respectivamente.

Answers

Answer 1

Answer:

31.2 dm

Step-by-step explanation:

Podemos calcular a hipotenusa do triángulo empregando a regra de Pitágoras:

[tex]h^2 = a^2 + b^2[/tex]

onde h = hipotenusa

a = unha perna do triángulo

b = outra perna do triángulo

Polo tanto:

[tex]h^2 = 20^2 + 24^2\\\\h^2 = 400 + 576\\\\h^2 = 976\\\\h = \sqrt{976}\\ \\h = 31.2 dm[/tex]

A hipotenusa é de 31,2 dm


Related Questions

Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. The constant of proportionality in terms of distance traveled per gallon of gas is ?.

Answers

Answer:

1/15

Step-by-step explanation:

Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. The constant of proportionality in terms of distance traveled per gallon of gas is 1/15.

the equation is...

d=15g

Now lets solve for 1 gallon of gas

d=15g

d=15(1)

d=15

This means that for every 1 gallon of gas, 15 (insert missing unit of distance here) can be driven.

15/1=15

1/15

please mark me brainliest :)

Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.
(1 gallon = 231 in 1 inch = 2.54 cm)
Which of the following scenarios will happen?
The paint will not fill the tray by 369 cm
The paint will not fill the tray by 5.22 in?
The paint will fill the tray exactly
The paint will overfill the tray by 5 22 in?

Answers

Answer:

Aliane is bruh......................

Step-by-step explanation:

One number is six times another number. Their difference is 35. What are the two numbers?

Answers

Answer:

The numbers are 7 and 42

Step-by-step explanation:

Let x and y be the numbers

x = 6y

x-y = 35

Substitute the first equation into the second equation

6y -y = 35

Combine like terms

5y = 35

Divide by 5

5y/5 = 35/5

y = 7

Now find x

x = 6*y

x = 6*7

x = 42

Answer:

The two numbers are 42 and 7.

Step-by-step explanation:

6x-x=35

5x=35

x=7

6(7)=42

7=7

How many complex zeros does y = x^5 have?

Answers

Answer:

no complex zeros.

Step-by-step explanation:

The given equation is

[tex]y=x^5[/tex]

To find the zeros equate y=0.

[tex]x^5=0[/tex]

We know that, if n>0, then

[tex]x^n=0\Rightarrow x=0[/tex]

So,

[tex]x^5=0\Rightarrow x=0[/tex]

It means zero or root of the given equation is 0 with multiplicity 5.

Therefore, the given equation have no complex zeros.

help please very confused.

Answers

Answer:

12.

Step-by-step explanation:

Replace k in the radical by -2:

So we have √(-72*-2)

= √144

= 12.

Answer:

12

Step-by-step explanation:

[tex]\sqrt{-72(-2)} = \sqrt{144} = 12[/tex]

All rectangles are parallelograms. True or False.​

Answers

all rectangles are parallelograms, but only SOME parallelograms are rectangles.

Answer:

I agree

Step-by-step explanation:

Some rectangles aren't parallelograms

all addition must be simplified before any subtraction

Answers

Answer:

True

Step-by-step explanation:

HELP ASAP!!!! There is a clip below.

Answers

Answer:

3.125

Step-by-step explanation:

We just multiply the dimensions together and when we do so we get 3.125.

Need help solving this plzz

Answers

Answer:

[tex]25[/tex]

Step-by-step explanation:

[tex]125^2 \div 125^{4/3}\\[/tex]

[tex]125^{2-4/3}[/tex]

[tex]125^{2/3}[/tex]

[tex]\sqrt[3]{125} ^2[/tex]

[tex]5^2[/tex]

[tex]=25[/tex]

what's the conversion factor used to convert inches to yards ?​

Answers

The conversion factor used to convert inches to yards is: 36 inches in 1 yard.

To create an image, Figure B is going to be rotated 90° around the point indicated in the figure, translated horizontally across the y-axis and reflected across the x-axis. What must be true about Figure B and its image?

Answers

Answer: D. They are both congruent

Step-by-step explanation:

The only difference in the two shapes is the locations. One shape is located in the 4th (-x, +y) quadrant, while the other shape is located in the 2nd quadrant (+x, -y)

They two shapes are the same size with the same area, so they are both congruent.

Answer:

The answer on Imagine Math is...

-They are congruent

Step-by-step explanation:

I got the answer right on Imagine Math. Hope my answer can help those who need it. God bless you all!!

Can someone help me on this?

Answers

Answer:

the triangle PQR is similar to RTS

Step-by-step explanation:

QR : RT

2 : 6

this 1:3 ratio is also seen in PR (4) with RS (12)

Help ! Help ! Help ! Fast

Answers

Answer:

The answer iis d

Step-by-step explanation:

please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

Answer:

C

Step-by-step explanation:

5 lemons for $2.00

1 lemon is for 2/5=$0.40

Answer:

The answer is option C) $0.40

Step-by-step explanation:

Cost of 5 lemons= $2.00

cost of 1 lemon= 2.00/5

                        = 0.40

therefore $0.40 is the unit cost of each lemon in the bag.

Hope this helped you.

Find distance of each

Answers

Answer:

4

Step-by-step explanation:

Since the y value is the same, we only have to look at the x value

-1 - -5

-1 +5

4

The distance is 4

Answer: The distance of this segment is 4 units

Step-by-step explanation:

Obviously, you could count the number of units in this graph, but for the sake of math, let’s use the distance formula, which is:

d = √([tex]x_{2}[/tex] - [tex]x_{1}[/tex])² + ([tex]y_{2}[/tex] - [tex]y_{1}[/tex])²

We know that the two endpoints of our line segment are (-1, -4) and (-5, -4). So we will use these coordinates and substitute them into the equation. The -4s will be our y coordinates, and our -1 and -5 will be our x coordinates.

d = √((-5) - (-1))² + ((-4) - (-4))²

d = √(-4)² + (0)²

d = √16 + 0

d = √16

d = 4

This furthermore proves that the distance between the two segments is 4.

Hope this helps! :)

a box is 24cm by 15cm by 10cm. this box will packed with smaller boxes of paper clips which are 6cm by 3cm by 5cm . what is the largest number of boxes of paper clips that will fit in the bigger box?​

Answers

Answer: 40

Align in this pattern:

Bigger box : 24 : 15 : 10

smaller box: 6 : 3 : 5

counts: 4: 5 : 2

( multiply 4*5*2 = 40)

2. (09.01 MC) In circle A shown below, the measure of ∠BAD is 148°: Circle A with angle BAD measuring 148 degrees; points B, C, D lie on Circle A. If m Arc BC is 96°, what is m Arc CD ? (3 points) 96° 22° 52° 148°

Answers

Answer:

Measure of arc CD will be 52°.

Step-by-step explanation:

In the given circle A, measure of central angle intercepted by the arc BCD at the center = 148°

And points B, C and D lie on the given circle.

[tex]m(\widehat {BCD})[/tex] = 148°

[tex]m(\widehat {BCD})=m(\widehat{BC})+m(\widehat {CD})[/tex]

148° = 96° + [tex]m(\widehat{CD})[/tex]

148 - 96 = [tex]m(\widehat{CD})[/tex]

[tex]m(\widehat{CD})[/tex] = 52°

Therefore, measure of arc CD will be 52°.

Option (3) will be the answer.

Answer:

its C

Step-by-step explanation:

What is the value of n?
1339

142"
A. 470
B. 810
C 389
D. 850

Answers

Answer:

D

Step-by-step explanation:

The sum of all exterior angles of a triangle is 360° so n + 133 + 142 = 360 and n = 85°.

Answer:

it is 85

Step-by-step explanation:

133+142=275

360-275=85

I will give brainliest answer

Answers

Answer:

The answer would be 12.571428571 units or 12.57units.

Brea was asked to find the area of a rectangular field they build with square flat blocks. If the sides of the rectangular field were 5/6 and 1/2 kilometers, how many 1/2 kilometers sqaure blocks will the students need to build the field?

Answers

Answer:

need

Step-by-step explanation:

points

Percentage math problem.

Please help

Answers

Answer:

46%

Step-by-step explanation:

0.25 + 0.21 = 0.46

0.46 = 46%

18
What is the value of y?
10
2y + 4
10 + 2x
5

Answers

Step-by-step explanation:

8

ahhdhdvab ah a. b b b n n bk.

The table represents a linear equation.
Which equation correctly uses point (-2, -6) to write the
equation of this line in point-slope form?
х
-4
-2
6
10
y
-11
-6
14
24
O y-6 = {(x - 2)
Oy- 6 = {(x - 2)
O y +6 = }(x + 2)
Oy+6 = (x + 2)

Answers

Answer:

y + 6 = 5/2(x + 2)

Step-by-step explanation:

The equation of the line passing through given points in point-slope form is y + 6 = (5/2)(x + 2). The correct answer is an option (C).

What is the slope of the line?

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Using the given points (-2, -6) and (6, 14), we can calculate the slope as:

slope = (14 - (-6)) / (6 - (-2))

= 20 / 8

= 5/2

Now, we can use the point-slope form of a line:

y - y₁= m(x - x₁)

where m is the slope and (x₁, y₁) is the point on the line. We can choose either of the given points to be the point on the line. Let's choose (-2, -6).

So, the equation of the line in point-slope form is:

y - (-6) = (5/2)(x - (-2))

Simplifying this equation gives us:

y + 6 = (5/2)(x + 2)

Therefore, the equation of the line passing through given points in point-slope form is:

y + 6 = (5/2)(x + 2)

Learn more about the Slope of the Line here:

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If f(x) = x2 - 2x, find:
f(-4) = [?]

Answers

Answer: 8

How?

Replace the “X’s” with -4.

-4^2 - 2(-4)

Next, Evaluate the power.

-16 - 2 (-4)

Now, Calculate the rest.

-16 + 8

-8

The value of f(x) = x² - 2x  at x=4 is 8.

What is function?

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation

Given:

f(x) = x² - 2x

Replace the x with -4.

f(-4) =  x² - 2x

Next, Evaluate the power.

=  (-4)² - 2(4)

Now, Calculate the rest.

= 16 + 8

= 8

Hence, the value of f(-4) is 8.

Learn more about function here:

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passion wants to rent a car to take a trip

Answers

Answer: The answer is C

Step-by-step explanation:

Can someone help me with this?

Answers

The right answer is 40

please see the attached picture for full solution

Hope it helps

Please help me please

Answers

Answer:

C : 414.7

Step-by-step explanation:

I do not completely know if this is right or not, but I used reasoning to figure this out. I can easily find the area of a circle just based on the radius of it, and the radius of the circle (all parts included) is 452.39. And since the percentage of the shaded circle would have to be a lot larger to have the unshaded area only be 188, then I can reason that 414.7 would be the most reasonable answer.

Poor preparation is a deadly mistake, demonstrating to the employer a lack of interest. Using your checklist (above), develop your answers to these common interview questions, following the adivce (below) for each question.

5. What is the simplified form of (2x2 + 4x – 3)(3x + 1)?
06x3 + 10x2 – 5x + 3
O 6x3 + 14x + 5x – 3
O 6x3 + 14x2 – 5x – 3
O 6x3 – 10x2 – 5x - 3

Answers

6x3+14x+5x-356-34^4-546

Answer:

6x³+14x²-5x-3

Step-by-step explanation:

I'm assuming 2x2 is 2x²

(2x²+4x–3)(3x+1)=

6x³+2x²+12x²+4x-9x-3=

6x³+14x²-5x-3

1. 6x³+10x²-5x+3

2. 6x³+14x +5x-3

3. 6x³+14x²-5x-3

4. 6x³-10x²-5x-3

The graph of f(x) = ax^2 opens upward and is narrower than the graph of g(x) = x^2 . Which of the following could be the value of a?

A. -0.5

B. 6

C. 0.25

D. -2

Answers

Answer:

Option C.

Step-by-step explanation:

The given functions are

[tex]f(x)=ax^2[/tex]

[tex]g(x)=x^2[/tex]

It is given that the graph of [tex]f(x)=ax^2[/tex] opens upward and is narrower than the graph of [tex]g(x)=x^2[/tex].  

Graph of [tex]f(x)=ax^2[/tex] opens upward, it means coefficient of [tex]x^2[/tex] must be positive.

Graph of [tex]f(x)=ax^2[/tex] is narrower than the graph of [tex]g(x)=x^2[/tex], it means coefficient of [tex]x^2[/tex] must lies between 0 to 1, i.e., [tex]0<|a|<1[/tex].

From the given options, only 0.25 is a positive number whose absolute value lies in between 0 to 1.

Therefore, the correct option is C.

Following are the solution to the graph function:

Given:

Graph function:

[tex]\to f(x)=ax^2\\\\\to g(x)=x^2\\\\[/tex]

Solution:

It is assumed that its graph of [tex]f(x)=ax^2[/tex] is narrower more expands upwards than the graph of [tex]g(x)=x^2[/tex].The graph of [tex]f(x)= ax^2[/tex] expands upward, suggesting that the [tex]g(x)=x^2[/tex] coefficient must be positive.Since the graph of [tex]f(x)=ax^2[/tex] is thinner than that of the graph of [tex]g(x)=x^2[/tex], it implies that the coefficient of [tex]x^2[/tex]  has to be between 0 to 1, i.e. [tex]0<|a| <1.[/tex] .Only 0.25 is a positive number with just an absolute value between 0 and 1 among the available alternatives.

Therefore, the final answer is "Option C".

Learn more about the graph:

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the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22 degrees. If the vertical distance from the bottom to the top of the mountain 689 feet, what is the length of the Gondola ride. Round the nearest foot.
A. 258 ft
B. 634 ft
C. 1839 ft
D. 143 ft

Answers

Answer:

C. 1839 ft.

Step-by-step explanation:

The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.

sin 22 =  689 / h

h = 690 / sin 22

h = 1839.26 ft

The length of the Gondola ride is equal to 1839.26 ft

We have given that, the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22 degrees.

If the vertical distance from the bottom to the top of the mountain is 689 feet,

The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.

What is the ratio of sin?

[tex]sin(\theta)=\frac{Opposite side}{hypotenuse}[/tex]

Therefore we get,

sin 22 = 689 / h

h = 690 / sin 22

h = 1839.26 ft

The length of the Gondola ride is equal to 1839.26 ft.

To learn more about the angle of elevation visit:

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