Calcula la diagonal de un rectángulo cuyos lados tienen las siguientes medidas.

a. 5 dm y 4 dm
b. 8 cm y 6 cm

Answers

Answer 1

Las longitudes de las diagonales son √41 dm y 10 cm respectivamente

La medida de la diagonal de un rectángulo: de lado l1 y l2 es igual a

d² = (l1)² + (l2)²

La diagonal entonces es: utilizamos la fórmula dadas para los lados dados y aplicando raíz en la ecuación

A. 5dm y 4dm

d = √((5 dm)² + (4 dm)²) = √(25 + 16) dm = √41 dm

B. 8cm y 6cm

d = √((8 cm)² + (6 cm)²) = √(64 + 36) cm = √100 cm = 10 cm .


Related Questions

Plz help out with #5

Answers

Answer:

A

Step-by-step explanation:

-10-3= -13 which is the same as -10+ -3 which also equals -13

Answer: The answer is a

What is the summation notation for the geometric series 1/2+2 + 8 +32+128

Answers

Answer:

D

Step-by-step explanation:

Edge

The summation of the given geometric series is 70.5.

What is geometric series ?

Geometric series is the sum of an infinite number of terms that have a constant ratio between the successive terms.

Formula for the sum of the nth term of a geometric series

[tex]s_{n}= a\frac{(r^{n} -1)}{(r-1)}[/tex]     (when r>1)

or

[tex]S_{n} =\frac{a(r^{n}-1) }{1-r}[/tex]          (when r<1)

where,

r is the common ratio

a is the first term of first term of the series.

n is the total number of terms.

According to the given question

we have

geometric series [tex]\frac{1}{2} +2+8+32+128[/tex]

total number of terms, n=5

first term a =[tex]\frac{1}{2}[/tex]

[tex]r=\frac{2}{\frac{1}{2} }=4[/tex]

therefore,

summation of the given geometric series calculated as

[tex]s_{n} =\frac{1}{2} \frac{4^{5}-1 }{4-1}[/tex]

[tex]s_{n} =\frac{1023}{6}[/tex]

[tex]s_{n} = 170.5[/tex]

Hence, the summation of the geometric series is 170.5.

Learn more about the summation of geometric series here:

https://brainly.com/question/11266123

#SPJ2

If two numbers HCF is 5 and LCM is 60. One number is 15 then what is the second number

Answers

Answer:

LCM x HCF = Product of the two numbers.

Step-by-step explanation:

HCF = 5

LCM = 60

Therefore, 5 x 60 = 15x the other number.

300 = 15x the other number

the other number = 300/15

The other number = 20

Please do mark as brainliest. Hope this helps! :)

At a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a medium given that he or she ordered a cold drink

Answers

Answer:

12%

Step-by-step explanation:

P(cold, med) = 25/100 x 12/25 = 12/100 or 12%

The probability that a customer ordered a small given that he or she ordered a cold drink is, 32%

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Since, The probability is represented as:

P(Small | Cold)

This is calculated using:

P(Small | Cold) = n(Small and Cold)/n(Cold)

Using the data on the given table, we have:

P(Small | Cold) = 8/(8 + 12 + 5)

Evaluate

P(Small | Cold) = 0.32

Express as percentage

P(Small | Cold) = 32%

Hence, the probability that a customer ordered a small given that he or she ordered a cold drink is 32%

Read more about probability at:

brainly.com/question/25870256

#SPJ7

Jessica made 6 19/20 cups of punch. Her punch had two different types of juices in it. If the lunch had 4 1/5 cups of one type of juice, how many cups of the other type of juice did it have?

Answers

Answer:

2 3/4 cups

Step-by-step explanation:

Jessica made 6 19/20 cups of punch. Her punch had two different types of juices in it. If the lunch had 4 1/5 cups of one type of juice, how many cups of the other type of juice did it have?

We solve this question using the Subtraction operation

Total cups = cups of first type of juice + cup of other type of juice

6 19/20 = 4 1/5 cups + x

x = 6 19/20 - 4 1/5 cups

Lowest Common Denominator = 20

x = 6 - 4 + (19/20 - 1/5)

x = 2 + (19 - 4/20)

x = 2 15/20 cups

x = 2 3/4 cups

Other type of juice had 2 3/4 cups of juice

HELP ASAP I WILL GIVE BRAINLEST Question 1(Multiple Choice Worth 4 points)
(03.02 LC)

Select the best estimate of the product of 18 x 31 = ____

500
600
700
800

Answers

Answer:

500 is ya best bet

Step-by-step explanation:

Hi,

Using multiplication, 18x31=600.

Hope it helps you

Find the area of the parallelogram.
8 yd
2 yd

Answers

Answer:

2 * 8 for the first section, and then the last one is 16.

Step-by-step explanation:

area for a parallelogram is base times height.

8 yd is the height, 2 yd is the base. so 2 would be that first blank.

second blank is 16, simply cause 2 * 8 = 16.

i need help asap will give crown image is in the question

Answers

Answer:

78.54 (unless you round)

Step-by-step explanation:

A=pi(r^2)

10 divided by 2 is 5, then multiply 5^2 by pi. 25 times pi gets you the answer!! I’m not great at explaining things haha sorry

What value from the set {4, 5, 6, 7, 8} makes the equation 4x + 3 = 23 true? Show your work

Answers

Answer:

Um?

Step-by-step explanation:

Look at this shape:which image shows a reflection?I DO NOT WANT A LINK I WANT A REAL ANSWER!!

Answers

Answer:

Step-by-step explanation:

B. Because a reflection is an image flipped  

Answer:

The answer is.......

Step-by-step explanation:

B. XD

Plot the vertex and the axis of symmetry of this function on a graph.

f(x) = (x + 2)2 − 6

Answers

Answer:

there.......... ....... ...a

3(−4)=12x What is the value of ?

Answers

Answer:

x = -1

Step-by-step explanation:

When given the following equation:

3(-4) = 12x

Simplify the left, side to perform the given operations. Remember, when there are parentheses but no operations between the two parentheses, then the operation is mutliplciation.

-12 = 12x

Inverse operations, divide both sides by (12) to undo the operation on the left side,

-1 = x

Answer:

as there is a braket add the distributive law soo it will be -12=12x and rhen u will move the the 12 from x to the other side of the equation u dived it with -12 so u

Step-by-step explanation:

the answer -1=x

HOW MANY SOLUTIONS DOES THIS SYSTEM HAVE
A: None
B: 1
C: 2
D: Infinitely many

Answers

Answer:

None

Step-by-step explanation:

The solution would be wherever the lines intersect, since they don't, there is no answer.

1 - cos^2 0= sin^2 0

Answers

I believe it is false, you can ask others if you need conformation

Answer:

Step-by-step explanation:

it is true because it is derived from the formula:sin^2 theta+cos^2 theta=1

The price of 2 ratios are in x:y when the prices both increase by £20, the ratio becomes 5:2 when the prices both reduce by £5 the ratio becomes 5:1 express the x:y ratio in the lowest form

Answers

Answer:

x:y = 4:1

Step-by-step explanation:

Since their ratios are x:y, when they both increase by £20, their ratio is 5:2.

So, x + 20/(y + 20) = 5/2   (1)

When they both decrease by £5, their ratio is 5:1.

So, x - 5/(y - 5) = 5/1    (2)

Simplifying (1) and (2), we have

x + 20/(y + 20) = 5/2  (1)

cross-multiplying, we have

2(x + 20) = 5(y + 20)

expanding the brackets, we have

2x + 40 = 5y + 100

2x - 5y = 100 - 40

2x - 5y = 60     (3)

So,

x -5/(y - 5) = 5/1  (2)

cross-multiplying, we have

(x - 5) = 5(y - 5)

expanding the brackets, we have

x - 5 = 5y - 25

x =  5y - 25 + 5

x = 5y - 20   (4)

Substituting (4 into (3), we have

2x - 5y = 60     (3)

2(5y - 20) - 5y = 60

10y - 40 - 5y = 60

10y - 5y = 60 + 40

5y = 100

y = 100/5 = 20

substituting y = 20 into (4), we have

x = 5y - 20   (4)

x = 5(20) - 20  

x = 100 - 20

x = 80

So, x/y = 80/20 = 4

x/y = 4/1

x:y = 4:1

solve for x
7.8
6.6
3.6
3

Answers

Answer:

6.6

Step-by-step explanation:

brainliest

its me from the last question

a boy kicks a 0.445kg soccer ball with the force of 75 newtons what is the acceleration of the soccer ball

Answers

Answer:

168.5 m/s^2

Step-by-step explanation:

The point (3, -1) is on the line given by which equation below?


A. y = -3x
B. y = x - 4
C. y = x + 4
D. y = 3x

Answers

Answer:

Just grabbin points

Step-by-step explanation:

Answer:

B. y = x - 4

Step-by-step explanation:

(x, y) = (3, -1)

y = x - 4

y = 3 - 4

y = -1

#CMIIW

Help pweaty pweeeeaaaseee

Answers

Answer:

It’s 8 8/15 or 128/5

Answer:

128/15 min or 8.5 min

Step-by-step explanation:

By using unitary method,

Time required to paint 5/8 of wall = 16 min.

Time required to paint 1/1 of wall = 16*8/5

Hence, Time required to paint 1/3 of wall = 16*8/5*1/3

Equations on both sides
3x + 5 = 2x -17

Solve it and show the work because i need to show the work

Answers

The answer would be for this problem is -22

Answer:

x = -22

Step-by-step explanation:

Subtract 5 from both sides

3x + 5 (-5) = 2x - 17 (-5)  

3x = 2x - 17

Subtract 2x from both sides

3x (-2x) = 2x (-2) -22  

x = -22

A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closet to the volume of water in the fishbowl in cubic inches? A.2,144.66 B.17,157.28 C.5461.67 D.6433.98

Answers

Answer:

A) 2144.66 in³

Step-by-step explanation:

A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closet to the volume of water in the fishbowl in cubic inches?

Volume of a sphere = 4/3πr³

Diameter = 16 in

Radius = Diameter/2 = 16 in/2 = 8 in

Volume of a Sphere = 4/3 × π × 8³

= 2144.66 cubic Inches

Option A.is correct

Find the area of a rectangle that has a length of 4.6 in. and a width of 3.4 in.

Answers

Answer:

15.64 Step-by-step explanation:  I used a calculator

two equal teams play each other 3 times. What is the probability that the same team will win all three games?

Answers

Answer:

1/8

Step-by-step explanation:

The probability of one team winning a single game is 1/2.

There are 3 games, so (1/2)^3=1/8

✨ It’s 1/8 percent ✨


Determine the three-decimal digit approximation of the number v17.

Answers

The three decimal fight approximation of the number v17= 4.123

Hello please help!
Which expressions (answer choices below) can be represented by the decimal grids below? Choose all the correct answer choices below.
0.6×4

2.4÷0.06

0.4×6

2.4÷4

2.4÷0.6

Answers

Answer:

0.6*4, and 0.4*6 yes

I think C and G yes and a e i no.

I am not sure. Tell me if I am wrong.

Step-by-step explanation:

Have a nice day!

Why can't 6cm 5cm 8cm make a triangle

Answers

Because all of the sides should be the same length.

Answer:

They can, the lines just need to be sloped

Matthew earned $5,000 a month. He spends $3,750 every month.

What percent does he spend?

Answers

Answer:

he spent 75%

Step-by-step explanation:

to get the percent you would divide 3750 by 5000 and then convert the decimal in to a percent.

The base diameter and the height of a cone are both equal to x units.
Which expression represents the volume of the cone, in cubic units?

[pi]x2
2[pi]x3
1/3[pi]x2
1/12[pi]x3​

Answers

Answer:

π x³ /12 cubic units.

hope this helps you and have a nice day

PLEASE HELP!!!!!!!!!!!!

Answers

Answer:

the school block me

Step-by-step explanation:

from seinge this image

give the dregree for the polynomial

Answers

Answer:

In the case of a polynomial with more than one variable, the degree is found by looking at each monomial within the polynomial, adding together all the exponents within a monomial, and choosing the largest sum of exponents.

Step-by-step explanation:

That sum is the degree of the polynomial.

Other Questions
Help! Will give out brainliest How were the Aztecs treated by the Spanish? is macleans a reliable source ? Which statement best completes the timeline?Shoguns ruleover a feudalsystem in JapanJapan adopts moderntechnology during theMeiji periodJapan joinsGermany and Italyduring World War II.?oA. Japan takes control over Korea,B. Samurai replace Japan's emperor as leaders.C. The Yamato dynasty unites Japan.D. Japan establishes an empire in East Asia. if you cant see the pic dont bothering answering. plsss hurry Help meeee please ~ 1 Con tus palabras define Espacio Geogrfico 2 Con tus palabras explica la diferencia entre Estado y Nacin 3 Explica En que se pueden diferenciar los pases? AIUDAA PORFAAAA how did the 1988 bangladesh floods increase the difficulty of people getting food? Write a short note on Muhammad bin Qasim In a well-developed paragraph (six to seven sentences), describe how you think your world would be different if you were unable to see or hear.Choose any three of the following to include in your response. BE SURE TO EDIT!* Describe the things you would miss the most.* Discuss how you would communicate with your friends, your family, and others.* How do you think you would feel going out in public knowing you had an obvious disability?* How would you express your feelings and ideas? i got this answer wrong and everyone laughed at me :( whats the answer? In order for a protein to be an integral membrane protein it would have to be which of the following? A black bear gave birth to cubs weighing 9 1/2 Ib , 8 1/2Ib , 10 5/8 Ib, and What is the average weight of the cubs?The average is _ Ib. Type a whole number or a simplified fraction.) At a high school, 14% of all students play a sport and 9% of all students play asport and participate in a club. What is the probability that a student participates ina club given that they also play a sport? Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals. Simplify the expression below. Giving brainlist to whoever answers 2. Retribucin que debe pagar el patrono al trabajador por su trabajo What is the type of angle pair? REALLY NEED HELP WITH THIS!! OFFERING BRAINLIEST! ANY ABSURD ANSWERS WILL BE REPORTED!!