The length of the shorter diagonal of a rhombus is 10 centimeters. Determine the length of the longer diagonal, to the nearest centimeter, if the perimeter

of the rhombus is 52 centimeters.

Length of the longer diagonal

cm

Answers

Answer 1

Answer:

24cm

Step-by-step explanation:

Perimeter of a rhombus = 4a

a is the side of the rhombus

52 = 4a

a = 52/4

a = 13cm

If the length of the shorter diagonal of a rhombus is 10 centimeters, then the  length of the other diagonal is expressed as;

L = 2 * √a²-(s/2)²

s is the length of the shorter diagonal

Given

a = 13cm and s = 10cm, substitute

L = 2 * √13²-(10/2)²

L = 2*√169-5²

L = 2*√169-25

L = 2*√144

L = 2*12

L = 24cm

Hence the length of the longer diagonal is 24cm


Related Questions

tax on a $12, 985 car is 6%. what is the total price of the car​

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Answer:

13,764.10

Step-by-step explanation:

The scale factor of similar figures is 4/3, and one side of the smaller triangle is 12.

The corresponding side on the larger triangle is 16.

True
False

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Answer:

True

Step-by-step explanation:

Una ciudad se encuentra 17 km al oeste y 8 km al norte de otra ¿cual es la distancia lineal entre las dos ciudades?

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Answer:

Could you put this in english so that i'm able to answer..?

Step-by-step explanation:

II. Read and analyze the given problem. Write your answer on a separate sheet of paper.
Using the figure below, solve for the value of x and find the length of EF and GH.​

Answers

Answer:

kjkh

Step-by-step explanation:

hkkhk


What are the zeros of the graphed function y =
{(x +
3)(x + 5)?
6
O-5 and -3
5
O 5 and 3
O-8 and 5
O 0 and 5

Answers

Answer:

-3 and -5

Step-by-step explanation:

The zeros are where the line touches the x-axis

From the graph we can see that the line touches those points.

You can also determine it from the equation because the equation is in factored form, which is (x-r1)(x-r2)

Remember that it is minus so although it is +3 and +5 the actual zero is negative!!

-5 and -3 because it’s a parabola so whichever two or more is on the x-axis will be your zeros

Find the sum of an ARITHMETIC PROGRESSION whose first term is 6 and last term is 46​

Answers

Answer:

Step-by-step explanation:

It depends on the number of terms in the progression. If there are n terms:

S_n = n × (6 + 46)/2

dara has 188 baseball cards. she sells 1/4 of them and gives 1/2 of them to her brother. how many cards does she have left?​

Answers

the answer is she has 47

1. The nominal rate on Sandra's loan is 7.125%. If the interest is compounded monthly, what rate of

interest is Sandra actually paying? (use the formula)

Answers

Answer:

She is actually paying a rate of 7.36% of interest.

Step-by-step explanation:

The real interest rate, as a decimal, is given by:

[tex]I = (1 + \frac{r}{n})^{n}[/tex]

In which r is the interest rate and n is the number of compoundings during an year.

The nominal rate on Sandra's loan is 7.125%, compounded monthly:

This means that [tex]r = 0.07125, n = 12[/tex]

So

[tex]I = (1 + \frac{0.07125}{12})^{12} = 1.0736[/tex]

As a percentage: 1.0736*100 = 107.36% - 100% = 7.36%

She is actually paying a rate of 7.36% of interest.

2^x=1/128 solve the equation

Answers

Answer:

x  =  − 7

Step-by-step explanation:

y = 4.5*x^2-9*x+8.5;4.5;-9;8.5

-(((-9)^2-(4*4.5*8.5))/(4*4.5))

-(-9/(2*4.5))

4.5*0^2-(0*9)+8.5

(7*x^5-(5*x^7))^(1/2)+1/((7*x^5-(5*x^7))^(1/2))

Find the domain of the graphed Function

A. X is all real numbers
B. -4 C. -4 D.X>-4

Answers

Domain =
[4,9]

option B is the domain of the figure

Which of the following are remote interior angles of Z5? Check all that apply.​

Answers

Answer:

e

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

The answer is Angle 1 and Angle 2.

Select the correct answer.
Use this tax table to find how much tax you need to pay on a taxable income of $40,000.
The tax is:
If taxable
income is over-
But not
over-
SO
$7,825
$31,850
$77,100
$7.825 10 percent of the
amount over SO
$31,850 $782.50 plus 15 percent
of the amount over
7,825
$77,100 $4,386.25 plus 25
percent of the amount
over 31,850
$160,850 $15,698.75 plus 28
percent of the amount
over 77.100
$349.700 $39,148.75 plus 33
percent of the amount
over 160,850
no limit S101,469.25 plus 35
percent of the amount
over 349.700
S160,850
S349,700
OA
$6,423.75
OB
$8.150.50
OC. $12.536.25
Reset
Net
Reset
Next

Answers

I don’t really understand your question can you go into detail more please

Describe the characteristics of metal in which metal converts into sheet.​

Answers

Answer:

a solid material that is typically hard, shiny, malleable, fusible, and ductile, with good electrical and thermal conductivity ( iron, gold, silver, copper, and aluminum, and alloys such as brass and steel)

Step-by-step explanation:

Suppose that we have a sample space S5 {E1, E2, E3, E4E4E, E5, E6, E7}, where E1, E2, . . ., E7 denote the sample points. The following probability assignments apply: P(E1) 5 .05, P(E2) 5 .20, P(E3) 5 .20, P(E4) 5 .25, P(E5) 5.15, P(E6) 5 .10, and P(E7) 5 .05. LetA5{E1,E4E4E,E6}B5{E2E2E,E4E4E,E7E7E}C5{E2E2E,E3,E5,E7E7E}a.Find P(A(A(), P(B), and P(C).b.Find AB and P(A(A(>B).d.Are events A and C mutually exclusive?C mutually exclusive?Ce.Find Bc and P(Bc).

Answers

Answer:

P(A) = 0.4 ; P(B) = 0.50 ; P(C) = 0.60 ; P(A u B) = 0.65 ; P(A n B) = 0.25 ;

A and C are mutually exclusive ;

0.5

Step-by-step explanation:

S = {E1, E2, E3, E4, E5, E6, E7}

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05

Let:

A{E1,E4,E6}

B{E2,E4,E7}

C{E2,E3,E5,E7}

P(A) = 0.05 + 0.25 + 0.10 = 0.40

P(B) = 0.20 + 0.25 + 0.05 = 0.50

P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.60

AUB = {E1, E2, E4, E6, E7}

P(A u B) = 0.05 + 0.20 + 0.25 + 0.10 + 0.05 = 0.65

AnB = {E4}

P(A n B) = 0.25

A and C are mutually exclusive if AnC = ∅

A n C = ∅

Hence, A and C are mutually exclusive.

B complement = B' = {E1, E3, E5, E6}

P(B') = 0.05 + 0.20 + 0.15 + 0.10 = 0.5

Please help this is due in 20 mins, I will give brainliest

Answers

Answer:

L = 5[tex]\sqrt{10}[/tex]

Step-by-step explanation:

use Pythagorean Theorem:

L² + (5[tex]\sqrt{2}[/tex])² = (10[tex]\sqrt{3}[/tex])²

L² + 25(2) = 100(3)

L² + 50 = 300

L² = 250

L = [tex]\sqrt{250}[/tex] = [tex]\sqrt{25}[/tex] · [tex]\sqrt{10}[/tex] = 5[tex]\sqrt{10}[/tex]

Answer:

by Pythagoras law

(10√3)²=l²+(5√2)²

100×3-25×2=l²

l²=25o

l=√250=5√10

:.l=5√10

Thx so much if you can help!

Answers

Answer:

undefined

Step-by-step explanation:

The line is a vertical line

Vertical lines have an undefined slope

undefined! have a great day!!

what is 11 - 10
HELP HURRY PLEASE ANSWER QUICK

Answers

11-10=1

The answer is 1

a Quadratic pattern has a second term equal to 1,a third term equal to-6 and a fifth term equal to -14​

Answers

Quadratic sequences

A sequence is a set of numbers that are connected in some way. In this section we will look at quadratic sequences where the difference between the terms changes.

Quadratic sequences

If the difference between the terms changes, this is called a quadratic sequence.

If you use the formula n2 + n to make a sequence, it means that:

When n = 1 you get 12 + 1 = 2
When n = 2 you get 22 + 2 = 6
When n = 3 you get 32 + 3 = 12
When n = 4 you get 42 + 4 = 20
- giving the sequence 2, 6, 12, 20.

Here, the differences between terms are not constant, but there is still a pattern.

- the first differences increase by 2 each time
- the second increases by 2

When the second difference is constant, you have a quadratic sequence - ie, there is an n2 term.

Learn these rules:
If the second difference is 2, you start with n2.
If the second difference is 4, you start with 2n2.
If the second difference is 6, you start with 3n2.
Another definition for Quadratic sequence

A quadratic sequence is a sequence of numbers in which the second difference between each consecutive term is constant. This called a common second difference.

five members of the basketball team scored a total of 78 points
a) what was the mean number of points scored per player

b) if i take out jackson's points, the new mean of the remaining players is 12. how many points did jackson score?

Answers

a. 15.6 (78/5)

b. I think it would be 12.48

RIP my points went down alot ;-; gived away 1k+ points today. sry i couldnt give more. ill give brainliest to first person that answered

Answers

Heya, how are you doing today ^-^

9n+13=3n+62.2
WHATS THE ANSWER PLEASE

Answers

Answer:

n = 8.2

Step-by-step explanation:

9n +13 = 3n + 62.2

=

9n = 3n +62.2 -13

=

9n - 3n = 62.2-13

=

6n = 49.2

=

n = 49.2/6 = 8.2

A line passes through (1, 1) and ( – 3,5).
What is the equation of the line in slope-intercept form?

Answers

slope = Δy ÷ Δx

y₂-y₁
---------
x₂-x₁

5-1
------- =
-3-1

4
----
-4


slope = -1


y-y₁ = m (x-x₁)

y-1 = -1 (x-1)

y-1 = -x + 1

y = -x + 1 + 1

y = -x + 2

what is the answer to 8+9v=8

Answers

the answer is 80 ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

you take 9 x 8 and get 72 then you just add 8 to it and get 80.

please help me with this

Answers

Answer:

the second one

Step-by-step explanation:

Help please im stuck

Answers

Answer:

-2x + 6y = 3

4x + 3y = 9

Answer: 2

Explanation:

-2(2)x + 6y = 3

4x + 3y = 9

-8x + 10y = 16

-4x - 5y = 13

Answer:  -1/2

Explanation:

-8(-1/2)x + 10y = 16

-4x - 5y = 13

3x - 8y = 1

6x + 5y = 12

Answer: -2

Explanation:

3(-2)x - 8y = 1

6x + 5y = 12

10x - 4y = -8

-5x + 6y + = 10

Answer: 1/2

Explanation:

10(1/2)x - 4y = -8

-5x + 6y + = 10

I will mark most branliest HELP ME LLEASE

Answers

Okay wait on I’m figuring it out

33 Calculaţi, dând factor comun:
a 26*(-12) +26 (-18) + 26.40;
c (-18) (-22) + (-18) (-36) + (-18) - 8;
b 15*(-34) - 15*21 +15*35;
d -26* (-12) - 26*(-18) - 26*40.
Cu rezolvare nu doar rezultatul ​

Answers

Răspuns:

260; 1188; -300; - 260

Explicație pas cu pas:

A.)

26 * (- 12) +26 (-18) + 26,40;

26 (- 12 - 18 + 40)

26 (10)

= 260

C.)

(-18) (-22) + (-18) (-36) + (-18) - 8;

-18 (- 22 - 36 - 8)

-18 (-66)

= 1188

b.)

15 * (- 34) - 15 * 21 + 15 * 35;

15 (-34 - 21 + 35)

15 (- 20)

= - 300

d.)

-26 * (-12) - 26 * (- 18) - 26 * 40.

-26 (- 12 - 18 + 40)

-26 (10)

-260

What is (8+27)+52and8 +(27+52

Answers

8+27 is 35 + 52 and 8 it’s 95
The answer is 87 for (8+27)+52 how I got that answer was that I added 8+27 then after I got the sum I added it by 52 ... the other problem is still 87 because you still adding the same numbers in a different way .... hope that helps :)

Classify the following triangle. Check all that apply.
O A. Obtuse
B. Acute
O C. Equilateral
OD. Isosceles
O E. Right
OF. Scalene

Answers

Answer:

Equilateral C.

Step-by-step explanation:

Those tick marks on the sides symbolize that each side is the same length as the ones next to it

This answer is c. That’s definitely correct

Select the best inequality: n is "larger than" -18

Answers

Answer:

Step-by-step explanation:

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