15. Considera um losango em que uma diagonal tem 8cm e cuja área é 12cm^2. Qual é o comprimento do lado do losango, arredondado às décimas? Nota: Indica apenas o valor numérico usando algarismos. (Não escrevas unidades de medida na resposta.)

Answers

Answer 1

Answer:

4,3cm

Step-by-step explanation:

Passo 1

Um losango tem 2 diagonais, cujos comprimentos não são iguais

Temos que encontrar o comprimento da segunda diagonal

A fórmula é dada como:

Área de um losango = 1/2 (d1 × d2)

Área do losango = 12 cm²

d1 = Comprimento da primeira diagonal = 8cm

d2 = Comprimento da segunda diagonal = x

12 = 1/2 (8 × x)

12 = 1/2 (8x)

12 = 4x

x = 12/4

x = 3cm

O comprimento da segunda diagonal = 3 cm

Passo 2

A fórmula do comprimento da lateral de um losango é dada como:

s = √d1² + d2² / 2

d1 = 8cm

d2 = 3 cm

s = √8² + 3² / 2

s = √64 + 9/2

s = √73 / 2

s = 8,5440037453 / 2

s = 4,2720018727 cm

Aproximadamente = 4,3 cm


Related Questions

Segment AB is being dilated with the center at the origin. The image of A, point A prime, has coordinates of (3.2, 6.4). What is the scale factor of the dilation and the coordinates of point B prime?

Answers

Step-by-step explanation:

The location of A is 3.2

The location of A' is 6.4

A represent pre image A' represent the new image.

The scale factor of A to A' is 2 since 3.2 x 2 =6.4

Since you didnt provide B coordinates, just multiply 2 by the B coordinate to find the B prime coordinate.

Answer: A.)The scale factor is 0.8 and the coordinates of point B prime are (–3.2, –4.8).

Step-by-step explanation: i hope this helps im sorry if this didnt help

plz help me with this asap
81x^2 − 49y^2
Factorize each completely
1. y^2 − 1
2. x^2 − 2^2
3. x^2 − 4y^2
4. x^2 − 25b^2
5. 36 − 9m^2
6. 36a^2 − 169x^2

7. 81x^2 − 49y^2
8. 49r^2 − 16s^2
9. 144x^2 − 49
10. 64x^2 − 25
11. 81a^2 − 64b^2
12. 1 − 16x^2
13. 49x^2 − 1
14. (a + b)^2 − 2^2
15. (a − b)^2 − 1

Answers

Answer:

i will answer THIS.. just give me some time

An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages

Answers

Answer:

5 yr and 39 yr

Step-by-step explanation:

Let x = the age of the younger

then 7x + 4 = the age of the older

Now x + 7x + 4 = 44

8x + 4 = 44

8x = 40

x = 5

7x + 4 = 7(5) + 4 =  35 + 4 = 39

Check:  5 + 39 = 44

A collector bought 47 coins at auction, some bronze and some silver. The bronze coins cost him $ 14 each and the silver coins, $ 18 each. If in total he spent $ 750, how many bronze coins did he buy and how many silver?

(with the steps)

please help me, it's for an exam

Answers

24 bronze coins and 23 silver coins

B= bronze coins S = silver coins
$14xB + $18 x S =$750
B + S = 47 total coins
Get in terms of S=47-B by subtracting B from each side, then replace the S in the first equation with this so that:
14xB+18x(47-B)=750
14B+846-18B=750
Subtract the 846 and combine the abs
-4B=-96 then divide the -4 on both sides
To get B=24 then 47-24=23=S

Gavyn and Alex win some money and share it into the ratio 1:4. Gavyn gets £6. How much does Alex get?

Answers

He gets 1.5 of it hope that help

Sketch graph for y=x^2+x-12

Answers

Answer:

graph your welcome :)

Step-by-step explanation:

hope this helps! try using the app Desmos if you have difficulty drawing graphs!

How do you know
the quotient of 639 /
6 is greater than
100 before you actually divide

Answers

Answer:

because since the question is 639 / 6

we immediately know that 600 / 6 is 100

639 / 6 = 106.5

Answer:

You just need a little conversion to get the answer.

[tex]\frac{639}{6}=\frac{600}{6}+\frac{39}{6}\\ = 100+\frac{39}{6} >100[/tex]

help please!!
Find the missing length indicated. Round to the nearest hundredth (two decimal places), if needed.

Answers

26 I think (i'm not sure please correct me.)

Hi! Please without looking it up I am doing my writing and speaking test for Spanish and I'm trying to figure out what is "Then" in Spanish...Mind you they use translator detectors so please don't look it up and just help me with it. This is the sentence "There are more tables in the kitchen then in my room." I literally just need to know what "Then" is in Spanish! Thank you!

Answers

Answer:

The sentance you but then would be than which would be Hay más mesas en la cocina que en mi habitación but the word then would be entonces and example sentance is entonces iré allí which is then i will go over there

and than is que, an example sentace en lugar de que yo vaya allí which is rather than me going over there

Step-by-step explanation:

Answer:

Hi Alycia! The answer to your question is Hay más mesas en la cocina que en mi habitación

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

xD

Find the area of the base of a box of height 4cm and lateral surface area 120cm.sq if its length is twice its breadth.

Answers

Answer:

The area of the base of a box is 1800 cm².

Step-by-step explanation:

We have:

H: is the height = 4 cm

[tex]A_{l}[/tex]: is the lateral surface area = 120 cm

L = 2B                                                                

We can find the breadth of the base by using the lateral surface area and the height:

[tex] A_{l} = H*B [/tex]        

[tex] B = \frac{A}{H} = \frac{120 cm}{4 cm} = 30 cm [/tex]

Now, if the length is twice its breadth we have:

[tex] L = 2B = 2*30 cm = 60 cm [/tex]

Hence, the area of the base is:

[tex] A_{b} = B*L = 60 cm*30 cm = 1800 cm^{2} [/tex]

Therefore, the area of the base of a box is 1800 cm².

I hope it helps you!                                                        

Sally's dance school had 60 students last year. This year there are only 48 students enrolled. By
what percent did the enrollment decrease? Show all of your work to justify your answer.

Answers

Answer:

20%

Step-by-step explanation:

60-48=12

changed ÷ original x 100%

= 12 ÷ 60 x 100%

= 20%

-extra points- please help with this. all you have to do is state which method (factoring, using square roots, complete the square or quadratic formula) you would use in solving the quadratic equation and why you would use it. you can only use each method once for problems A through D

Answers

Answer:

Step-by-step explanation:

please help if your able to (:

Answers

Answer:

4/9

Step-by-step explanation:

(2/3)^2 is another way of writing:

2/3*2/3

Which is 4/9

Hope this helps

Answer:

2/3*2/3      4/3

Step-by-step explanation:

The sides of a triangle formed a geometric progression with a ratio r. For what values of r, it is possible?

Answers

Answer:

ok so i really shouldnt get points for this, but i wanted to help. The person who solved the problem here:  https://math.stackexchange.com/questions/2911546/suppose-the-sides-of-a-triangle-form-a-geometric-progression-with-common-ratio-r     is correct, but it is not very clear. Basically, he rounded to the third decimal point (since a sqrt has infinate decimals), and this might have been what got you the wrong answer. Basically the important thing is that r has to be between the (-1+√5)/2 and (1+√5)/2, or (-1+√5)/2 < r < (-1+√5)/2

Will mark brainliest if ur right! if not, u wont get it.

Answers

Answer:

(-4,4)

Step-by-step explanation:

I believe that's it

awnser for brainliest and why u chose the awnser

Answers

Answer:

6 kilometers. This is because A,B, and C are all around 18 feet. However, 6 km = 19,685 feet and that is unrealistic.

What is the factorization of the trinomial below?
3x3 - 18X2 + 24x

Answers

Answer:

75

Step-by-step explanation:

Answer:

3x3 - 18×2 + 24x = 75

Step-by-step explanation:

my mind is my friend

how to solve problems on this website

Answers

Answer:

You go to whoever's question you wanna answer and it should say "add answer" and just type out your answer and solve it

Answer:

Theres a "add answer" just click on that and u will be able to add

Step-by-step explanation:

shine sold two tables at 9900 rupees each.he got 10% profit in one sale and 10% loss in the other.did the total sale result in a profit or loss? what percentage? please give me step by step explanation​

Answers

the total sale was neither a profit nor loss , 0%

Step-by-step explanation:

1st table :

100%-> 9900

110%-> 10890

10890-9900=990(earned)

------------------------------------------

2nd table :

100%->9900

90%-> 8910

9900-8910=990(lost)

990-990=0

hence the total sale was neither a profit nor loss , 0%

Steven has 1 bag that contains disks numbered 1, 2, 3. He also has a second bag that contains four disks named A, B, C, and D. Construct a sample space of picking one disk randomly for each bag and state the total of outcomes possible

Answers

Answer:

Total possible outcomes = 12

{A1 ; A2 ; A3 ; B1; B2;B3;C1;C2;C3;D1;D2;D3}

Step-by-step explanation:

Bag 1 = { 1, 2, 3}

Bag 2 = {A, B, C, D}

Sample space :

Size of bag A * size of bag B

3 * 4

= 12

Which is heavier, 4 and a half pounds or 80 ounces

Answers

Answer:

80 ounces is heavier by 8 ounces or half a pound

Step-by-step explanation:

1 pound = 16 ounces

4.5*16= 72 ounces

PLZ HELP ME PLZZZ I WILL GIVE BRAINLIEST......I REALLY NEED THE ANSWERS.

Answers

Answer:

2,4,2,1.7

Step-by-step explanation:

ill mark brainlist plss help

Answers

he is going to need 37.5 ounces I guess

Inscribed angles!!

Find A, B, and C

Answers

sum of all exterior angles equals to 360

sum of interior angles equal to 180

divide 360 by 122 to find b the rest you'll get it

as you go further in the question

Find the missing angle measure. PLEASE HELP ASAP

Answers

Answer:

Angle 1 is 57 degrees

Angle 3 is 57 degrees

Angle 4 is 123 degrees

Step-by-step explanation:

Cause a straight line is 180 degrees and if angle 2 is 123 degress then angle 3 is 57 degrees and i got that by Subtracting 180-123 =57

Then for angles one you do the same maththat you do for finding angle 3

Then for angles 4 subtract 180-57=123

solve it...........!!!!​

Answers

Answer:

I think it is correct and is 1 and 2

Step-by-step explanation:

5×4^(x+1)-16^x=64

0=64+16^x-5×4¹×4^x

0=(4^x)²-2×4^x×10+10²-10²+64

0=(4^x-10)²-36

(4^x-10)²=36

4^x-10=√36

4^x=+-6+10

when positive

4^x=4²

:.x=2

when negative

4^x=4

:.x=1

:.x=1,2 answer.

Gabby has $1,506 in a savings account that pays 2.5% simple interest. How much interest will she earn in 3 years?

Answers

Answer:

$112.95

Step-by-step explanation:

Use the simple interest formula, I = prt

Plug in the initial amount, interest rate, and number of years

I = prt

I = (1506)(0.025)(3)

I = 112.95

So, the interest created in 3 years is $112.95

I = PRT ; P=$1506 , R=2.5% , T=3 years

I = (1506)(.025)(3)
I = 37.65 (3)
I = $112.95

Help Pls!!! Will give brainliest

Answers

Answer:

a

Step-by-step explanation:

If the school has 90 students, there are how many sixth graders?

Answers

Answer:

29

Step-by-step explanation:

Answer: Depends on the number of grades

Step-by-step explanation:

School has up to 6th grade: 15

School has up to 7th grade: 12

School has up to 8th grade: 11

School has up to 9th grade: 10

School has up to 10th grade: 9

Need more grades? Comment please

TRUE or FALSE: The equation 2x + 3y = 32 is not an example of a linear equation in two variables ( I uh need this now-)

Answers

Answer:

False

Step-by-step explanation:

It is a linear equasion because it's in ax+by=c form

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